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Spectroscopy and its applications
1
Principles, Electronic Spectroscopy of Conjugated
Molecules, Woodward-Fieser Rule
Infrared Spectroscopy, Group Frequencies Dr. Raju Dey
Assistant Professor
Department of Chemistry, NITC
Room No: 210E
Phone no: +91-7558035591
Email: rajudey@nitc.ac.in
 Fundamental of Molecular Spectroscopy By C B Banwell & E M McCash
 Organic Spectroscopy By William Kemp
 Spectroscopy Of Organic Compounds By P S Kalsi
 Elementary Organic Spectroscopy By Y R Sharma
Reference Books
2
3
4
Light Source
Interaction
with matter
Detector
5
 Radiation
 Matter
6
𝐸 = ℎ𝜗
M
L
K
𝑷𝒉𝒐𝒕𝒐𝒏
where 𝜗 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 & 𝜆 = 𝑤𝑎𝑣𝑒𝑙𝑒𝑛𝑔𝑡ℎ
C
λ
h
=
7
Energy, 𝐸 = ℎ𝜗 = ℎ
𝐶
𝜆
where 𝜗 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 & 𝜆 = 𝑤𝑎𝑣𝑒𝑙𝑒𝑛𝑔𝑡ℎ
E = E1-E2 =
𝐶
𝜆
8
Electromagnetic Radiation
9
10
 Various forms of EM radiations are
Ultra Violet (UV)
Visible
Infra-red (IR)
Radio frequency etc.
 The study of Spectroscopy deals with
absorption as well as emission of EM of different wavelength
11
 When EM radiation is passed through the substance
then radiations of certain wavelength are absorbed by the
substance depending on the structure of the compound
12
Incident radiation ( ) transmitted radiation ( )
Light source
13
UV-Visible Spectrum
Infra-Red Spectrum
14
wavenumber (cm-1)
transmittance
(%)
UV-Visible Spectroscopy
15
UV-Visible Spectrometer
16
Far UV Range: Below 200 nm
Far UV spectra is also known as Vacuum UV Spectroscopy
since it is performed to in vacuum to avoid the absorption of
gases e.g. O2, N2
17
Visible Range: 400-800 nm
UV Range: 200-400 nm
18
When UV-Visible radiation (monochromatic*) is passed through
homogenous absorbing medium:
A portion of radiation is absorbed by the compound and rest is
transmitted.
*Radiations of very narrow range of wavelength or frequency
19
Function of monochromator is to separate desired set of wavelength
from the band of spectrum
Plot of Electronic Spectra: The UV-Vis spectra is observed as a
plot of intensity of absorbed(or absorbance) radiation against the
wavelength of the absorbed radiation.
20
absorbance
wavelength (nm)
max = 217: maximum absorption at this wavelength
Lambert’s Law : Solid Sample
Beer’s Law : Solution
21
The Absorption Law
22
y
x
y > x
Sample of same concentration but different path length
23
CA
CB
CA > CB
Sample of same path length but different concentration
24
The Beer-Lambert’s law
l
-
A ∝ cl
A = ϵcl
The amount of light absorbed is directly proportional to the
concentration (c) of the solution of the sample A ∝ c
 The absorbance is directly proportional to the length of the
light path (l), which is equal to the width of the cuvette. A ∝ l
Mathematically, the law is expressed as,
−
𝑑𝐼
𝑑𝑥
∝ 𝐼𝑐
⇒ −
𝑑𝐼
𝑑𝑥
= 𝑘𝐼𝑐
⇒ න
𝐼𝑜
𝐼𝑡 𝑑𝐼
𝐼
= − න
𝑥=0
𝑥=𝑙
𝑘𝑐 𝑑𝑥
⇒ 𝑙𝑛
𝐼𝑡
𝐼𝑜
= −𝑘𝑐𝑙 𝑜𝑟 𝑙𝑜𝑔
𝐼𝑡
𝐼𝑜
= −
𝑘
2.303
𝑐𝑙
⇒ 𝑰𝒕 = 𝑰𝒐𝟏𝟎−𝜺𝒄𝒍
Where,
c = concentration of the
solution.
k=Proportionality
constant
l = path length
𝑺𝒊𝒏𝒄𝒆, 𝒍𝒏
𝑰𝒕
𝑰𝒐
= 𝟐. 𝟑𝟎𝟑𝒍𝒐𝒈
𝑰𝒕
𝑰𝒐
25
Derivation
⇒ 𝑰𝒕 = 𝑰𝒐𝟏𝟎−𝜺𝒄𝒍
Here, 𝜀 =
𝑘
2.303
where 𝜀 is known as molar
extinction coefficient or molar absorptivity of the
absorbing medium.
𝐼𝑡
𝐼𝑜
= 10−𝐴
or 𝑙𝑜𝑔
𝐼𝑜
𝐼𝑡
= 𝐴
𝑨 = 𝒍𝒐𝒈
𝟏
𝑻
Here, A is known as Absorbance And T is called
Transmittance which is equal to
𝐼𝑡
𝐼𝑜
.
26
1. Problem: The molar absorption coefficient of tyrosine in water is 1280 M-1
cm-1 at 280 nm. Calculate the concentration of a tyrosine solution in water if
the absorbance of the solution is 0.34 in a 1 cm path length cell. (Hint: 𝜆 =
280 𝑛𝑚, 𝜀 = 1280 𝑀−1𝑐𝑚−1, 𝑙 = 1 𝑐𝑚, 𝐴 = 0.34, 𝑐 =?)
2. Problem: Calculate absorbance of a radiation in a photo-absorption
technique if 60% of it has been absorbed by the sample. (Hint: T=0.4 since
absorption is 60%, A=?)
𝐴 = ℇ𝑐𝑙 = log
𝐼𝑜
𝐼𝑡
= log
1
𝑇
27
t
= 2 − 𝑙𝑜𝑔𝑇%
28
absorbance wavelength (nm)
Representative UV spectra for compound ‘X’
(X)
Absorption peaks broadens from atom to polyatomic molecules
29
vo
v1
v2
v3
vo
v1
v2
v3
rn
rn
rn
rn
rn
rn
ElectronicTransition
E2
E1
 Excitation of electrons are also accompanied by the constant
vibratory and rotatory motion of the molecules.
30
 Electronic levels are comprised of band of vibrational and
rotational levels.
31
Eele: Electronic Energy
Evib: Vibrational Energy
Erot: Rotational Energy
Eele (105-6 cm-1) >>> Evib (103 cm-1) > Erot (1-10 cm-1)
Born-Oppenheimer Approximation,
vibrational and rotational energies are quantised and treated separately
Total energy of a molecule
Etot = Eele + Evib + Erot +..
32
Excited state
Ground state
Transition can be represented as
vertical line in the energy diagram
Frank-Condon Principle assumed
‘an electronic transition takes place so rapidly that the nuclei of the
vibrating molecule can be assumed to fixed during the transition’
33
As the optical transition becomes less vertical, the absorption spectra shift
due to the change in the Frank-Condon principle.
34
As the optical transition becomes less vertical, the absorption
spectra shift due to the change in the Frank-Condon principle.
Broadening of Spectral Lines
35
 The electronic excitation is superimposed upon rotational and
vibrational levels.
 There will be a large number of possible transitions
corresponding to electronic, vibrational and rotational levels.
 Large number of wave length which are close to each other will
be absorbed, resulting in the formation of band.
Other Factors of Spectral Line Broadening
Collision broadening – Molecular interactions are more severe in
liquids than in gas (Gas phase spectra are sharper than those of the
corresponding liquids). I case of solids, the spectral lines are sharper but
show evidence of interactions by splitting of lines.
36
Doppler effect – Atoms or molecules in gases and liquids are in
continuous motions with different velocities in different directions from
the detector which causes Doppler effect (More in gases than in liquids).
37
Which depicts a transition to a dissociative state?
Which depicts a transition in a molecule that has a larger bond length in the excited state?
Which would show the largest intensity in the 0-0 transition?
Which represents molecules that can dissociate after electronic excitation?
Which represents the states of a molecule for which the v”=0 → v’=3 transition is strongest?
Bond Length
Energy
 Energy of Transitions
38
 Number of Transitions
 Intensity of Transitions
39
HOMO LUMO
Electronic Transitions
40
HOMO
LUMO
Electronic Transitions
41
Types of Electronic Transitions
𝑛 → 𝜋∗
Transition
𝜋 → 𝜋∗
Transition
𝑛 → 𝜎∗ Transition
𝜎 → 𝜎∗ Transition
𝑹𝒂𝒅𝒊𝒂𝒕𝒊𝒐𝒏
𝒆𝒏𝒆𝒓𝒈𝒚
Four types of Electronic transitions are possible
42
𝝈 → 𝝈∗
Transition
o High energy transition (<<200nm)
o Compounds with single bond show 𝝈 → 𝝈∗ Transition
o Colourless, since not absorbed light in visible region.
o Saturated hydrocarbons shows this type of transitions
e.g. Cyclopropane, λmax 190 nm.
Cyclohexane, λmax 153 nm (vacuum UV)
43
𝒏 → 𝝈∗
Transititon
E.g. H2O 𝜆𝑚𝑎𝑥 167 nm
MeOH 𝜆𝑚𝑎𝑥 174 nm
MeCl 𝜆𝑚𝑎𝑥 169 nm
NEt3 𝜆𝑚𝑎𝑥 227 nm
o Appear in the near UV or visible region
o Compounds containing non-bonding electrons
or lone-pair electrons show this type of transition
44
In case of saturated alkyl halides, as the electronegativity increases 𝜆𝑚𝑎𝑥
values decrease. Since, nonbonding electrons are more difficult to excite in
case of more electronegative atom.
Q. Give an explanation for the difference in 𝜆𝑚𝑎𝑥 value
Compounds 𝜆𝑚𝑎𝑥
MeCl 169 nm
MeI 258 nm
45
𝝅 → 𝝅∗
Transition
For compounds containing double, triple bonds or aromatic rings show
this type of transition.
This is usually a symmetry allowed and high intensity transition.
e.g. Alkenes, Alkynes, Carbonyls, Cyanides, Azo compounds etc.
46
Q. Why extended conjugation lowers the ΔE, and increase the λmax.
CH2=CH2 λmax 171 nm
CH2=CH-CH=CH2 λmax 217 nm
CH2=CH-CH=CH-CH=CH2 λmax 256 nm
47
Q. Why introduction of an alkyl group to the double bond shift the λmax
value to longer wavelength.
CH2=CH2 λmax 171 nm
CH3-CH2-CH=CH-CH2CH3 λmax 184 nm
Q. Out of the given set of compounds, find out the one which absorbs at the
longest wavelength?
e.g. saturated aldehydes and ketones : 𝝀𝒎𝒂𝒙 at 185-300 nm
48
𝒏 → 𝝅∗
transition
The excitation of an electron on a nonbonding (lone pairs) orbital, such
as unshared pair electrons on O, N, S to an antibonding, π* orbital.
Usually in an double bond with hetero atoms, such as C=O, C=S, N=O
etc show this transition.
A symmetry forbidden and low intensity transition.
49
In carbonyl compounds, two types of transitions take place which are
𝑛 → 𝜎∗ Transition (Intense)
𝜋 → 𝜋∗ Transition (Intense)
High energy transitions
𝑛 → 𝜋∗ Transition (Weak)
Low Energy Transition
50
Q. Acetaldehyde is having absorption peak at 160 nm, 180 nm and 292 nm.
What type of transition is responsible for each of these absorption?
Q. Assign electronic transitions for the following compounds.
Acetaldehyde, Benzene, Cyclohexane, Ethanol, Heptane, Aniline, Butadiene
51
Q. UV spectra for the compound ‘m’ has given below
assign electronic transitions and justify your answer
m
Transition Probability
i. Energy of the transition/incident light.
ii. Orientation of the molecule/material.
iii. Symmetry of the initial and final states.
iv. Angular momentum (spin).
52
The probability of a particular transition taking place.
intensity of transition increase (high 𝜀𝑚𝑎𝑥 value)
As transition probability increases
Allowed transitions
In benzophenone, there are two transitions.
252 nm 𝜀𝑚𝑎𝑥 20000 (allowed)
325 nm 𝜀𝑚𝑎𝑥 180 (forbidden)
53
The transition with values of 𝜀𝑚𝑎𝑥 value more than 104 are allowed transitions.
𝑛 → 𝜋∗ Transition is forbidden.
𝜋 → 𝜋∗ Transition is allowed.
e.g. C=O, C=C, NO2, –COOH, -N=N-, C≡C etc.
54
Chromophore :
Any functional group which absorb in UV-Visible range are Chromophores
Can induce color in the molecule
Chromophore are groups containing either 𝝅 electrons or both 𝝅 & n electrons
e.g. Benzene absorbs at 255 nm but Aniline absorbs at 280 nm.
55
Auxochromes:
Shift the 𝝀𝒎𝒂𝒙 value to longer wavelength if attached to chromophores
Changes both intensity and λmax
e.g. OH, NH2, -SH, -Cl, OR, NHR2 etc.
Auxochromes has ability to extend conjugation of chromophores by
sharing its nonbonding electrons
Absorption and intensity shift
56
absorbance
wavelength (nm)
Bathochromic
(Red Shifted)
Hypsochromic
(Blue Shifted)
Hyperchromic
Hypochromic
Bathochromic shift:
𝑛 → 𝜋∗ transition for carbonyl compounds experiences red shift
when polarity of the solvent is decreased.
57
𝜆𝑚𝑎𝑥 value shifted to longer wavelength due to the presence of an
Auxochromes or by the change of solvent.
58
50,000
100,000
200 300 380
wavelength (nm)
n = 5
n = 4
n = 3
R(CH=CH)nR
e
59
UV-spectra of acetone in hexane and in water
absorbance
wavelength (nm)
264 nm (water)
279 nm (hexane)
60
Q. In alkaline medium, p-nitrophenol shows red shift
Because negatively charged oxygen delocalizes more
effectively than the unshared pair of electron
Hypsochromic Shift (Blue Shift ):
𝜆𝑚𝑎𝑥 value shifted to shorter wavelength Also known as.
e.g. Aniline λmax 280 nm
Acidic Aniline λmax 203 nm
61
Hyperchromic and hypochromic shift
62
Double strand DNA absorbed less strongly than denatured DNA due to the stacking interactions
between the bases. On denaturation, the bases are exposed thereby showing increased interaction.
Hyperchromic (90 ºC)
Hypochromic
(40 ºC)
absorbance
wavelength (nm)
Other Examples:
Pyridine: λmax = 257 𝑛𝑚, 𝜀𝑚𝑎𝑥 : 2750
2-Methylpyridine: λmax = 260 𝑛𝑚, 𝜀𝑚𝑎𝑥 : 3560
Biphenyl: λmax = 250 𝑛𝑚 𝜀𝑚𝑎𝑥 : 19000
2-Methylbiphenyl: λmax = 237 𝑛𝑚, 𝜀𝑚𝑎𝑥 : 10250
63
64
Influence of solvent on the UV λmax and emax of the n p* and
p p* excitation of 4-methylpent-3-en-2-one
Solvent p p* n p*
n-hexane 230(12,600) 327(98)
ether 230(12,600) 326(96)
ethanol 237(12,600) 315(78)
water 245(10,000) 305(60)
If the excited state is polar, but the ground state is neutral
Solvent Effect
65
𝜋 → 𝜋∗ transition
Polar solvent
Polar excited state
Neutral ground state
Hence, absorption shifts to longer wavelength.
Polar solvent will only interact with the excited state and stabilize it
Hence, absorption shifts to shorter wavelength
66
𝒏 → 𝝈∗transition
If excited state is neutral and ground states are polar
Polar solvent will solvate the ground state
The ground state lower its energy due to solvation
polar solvent
neutral excited state
polar ground state
As solvent polarity increases:
𝝅 → 𝝅∗ band shifts to Longer 𝝀𝒎𝒂𝒙
𝒏 → 𝝈∗ band shifts to Shorter𝝀𝒎𝒂𝒙
67
𝒏 → 𝝅∗ band shifts to Shorter 𝝀𝒎𝒂𝒙
68
Influence of solvent on the UV λmax and emax of the n p* and
p p* excitation of 4-methylpent-3-en-2-one
Solvent p p* n p*
n-hexane 230(12,600) 327(98)
ether 230(12,600) 326(96)
ethanol 237(12,600) 315(78)
water 245(10,000) 305(60)
Substituent effect on 𝝀𝒎𝒂𝒙 value
69
Auxochromes exert their bathochromic shifts by extension of the length of
the conjugated system
B: NH2, OH, OR, X etc
70
Woodward-Feiser rule
Calculation of 𝜆𝑚𝑎𝑥
Applicable for the low energy transition (𝜋 → 𝜋∗) from HOMO to LUMO
71
Calculation of 𝜆𝑚𝑎𝑥 in conjugated diene and polyene
Parent values
Heteroannular Conjugated Diene(transoid) 214 nm
Homoannular Conjugated Diene(cisoid) 253 nm
72
Increments
Each Alkyl Residue or ring residue 5 nm
Exocyclic double bond 5 nm
Double bond extending conjugation 30 nm
73
Exocyclic Double bond
74
Heteroannular diene : 214
Alkyl substituents : (4x5) : 20
Exocyclic double bond : 5
Absorption maximum : 239 nm
75
Homoannular diene : 253
Alkyl substituents : (4x5) : 20
Exocyclic double bond : (2x5) : 10
Absorption maximum : 283 nm
76
Total : 234 nm
Transoid (base) : 214 nm
3 ring residues : + 15 nm
1 exocyclic C=C : + 5 nm
Observed λmax 235 nm
77
Cisoid(base) 253
3 ring residues +15
1 exocyclic C=C +5
Total 273
Observed = 275 nm
78
Cisoid(base) 253
3 ring residues +15
1 exocyclic C=C +5
1 extra conjugation +30
Total : 303 nm
Observed : 304 nm
79
Transoid(base) 214
2 ring residues +10
1 exocyclic C=C +5
Total 229
Observed = 230 nm
80
Transoid(base) 214
2 ring residues +10
1 exocyclic C=C +5
Total 229
Observed = 236 nm
Calculation
of 𝜆𝑚𝑎𝑥
Parent values
Heteroannular Conjugated Diene 214 nm
Homoannular Conjugated Diene 253 nm
Increments
Each Alkyl Residue or ring residue 5 nm
Exocyclic double bond 5 nm
Double bond extending conjugation 30 nm
Auxochrome
-OR 6 nm
-SR 30 nm
-Cl, -Br 5 nm
-NR2 60 nm
-OCOCH3 0 nm
81
82
Transoid(base) 214
3 ring residues +15
1 exocyclic C=C +5
-OR +6
Total : 240 nm
Observed : 241 nm
83
Transoid (base) 214
5 ring residues +25
3 exocyclic C=C +15
1 extra conjugation +30
Total = 284 nm
Observed = 283 nm
Cisoid (base) 253
3 ring residues +15
1 alkyl substituent +5
1 exocyclic C=C +5
Total = 278 nm
Observed = 275 nm
84
Cisoid (base) 253
5 ring residues +25
3 exocyclic C=C +15
2 extra conjugation
-OAc
+60
+0
Total = 353 nm
Observed = 355 nm
85
Transoid (base) 214
3 alkyl group +15
Total = 229 nm
Observed = 232 nm
Transoid (base) 214
4 alkyl group +20
Total = 234 nm
Observed = 235 nm
86
Cisoid (base) 253
5 ring residues +25
3 exocyclic C=C +15
1 extra conjugation +30
Total = 323 nm
Observed = 325 nm
Cisoid (base) 253
4 ring residues +20
2 exocyclic C=C +10
Total = 383 nm
Observed = 382 nm
Application of UV-Visible Spectroscopy
1. Detection of conjugation
Addition of unsaturation shifts the absorption to longer wave
length and pertains colour.
87
Phenolpthaline in aqueous methanol
NaOH
2. Distinction in conjugated & non conjugated isomers
88
Longer wave length
Shorter wave length
3. Detection of geometrical isomers
89
lmax= 234 nm
emax = 12000-28000
lmax= 283 nm
emax = 5000-15000
s-trans
214 nm
s-cis
253 nm
90
Infra-Red spectroscopy and application
91
Middle IR
Near IR
2.5
Far IR
25
0.8 250
12500 4000 400 40
E = 1-10 kcal/mol
Bond Vibrations (most useful I.R. region)
92
IR Spectrometer
D
E
T
E
C
T
O
r
93
94
Wavenumbers/cm-1
100
50
0
%
Transmittance
IR Spectra: Vibrational motion in covalent bond
Normal vibration Vibration after energy absorbtion
Absorb frequency of radiation is similar to bond vibration(s)
95
Energy
Types of bond vibration
Symmetric stretching
Asymmetric stretching
In plane bending
Out of plane bending 96
Stretching
Bending
H H
C
Symmetric Stretching
H H
C
Asymmetric Stretching
97
Scissoring Rocking Twisting Wagging
In plane Out of plane
Bending
98
Electric field induced
Stretching-out
Stretching-in
Induced electric field interacts with the EM radiation
Cl H
Fluctuating dipole
99
Fluctuating dipole
Frequency 𝝑
EM radiation
Frequency 𝝑
The vibrating bond absorb IR radiation
Frequency
absorbed
Each vibrational mode with change in dipole moment of the system leads to
absorption of frequency in IR range
100
when its frequency is same as the frequency of the oscillating dipole
Criteria for IR absorption
Dipole moment of the bond must change during vibrational motion
101
e.g. H2, N2, O2 e.g. H2O, SO2, HCl
Though CO2 is non polar molecule, why it is IR active?
Change in Dipole
Change in Dipole
No Change in Dipole
102
103
Mode of Vibrations in Molecules
Linear Molecules have 3N-5 number of fundamental frequency
Non-linear Molecules have 3N-6 number of fundamental frequency
Where N is the number of atoms present in the molecule
104
Three Fundamental Modes of Vibration for Water
𝜈1, Asymmetric Stretch
~3755 𝑐𝑚−1
𝜈2, Symmetric
Stretch
~3651 𝑐𝑚−1
𝜈3,Bending
~1595 𝑐𝑚−1
Internuclear distance
Energy
req
SHO
Simple Harmonic Oscillator (SHO)
Morse Energy Diagram
105
For diatomic molecule behaving as SHO
Frequency of a vibrational stretching
𝜇 = 𝑅𝑒𝑑𝑢𝑐𝑒𝑑 𝑀𝑎𝑠𝑠 =
𝑚1𝑚2
𝑚1 + 𝑚2
ഥ
𝝑 =
𝟏
𝟐𝝅𝒄
𝒌
𝝁
𝒄𝒎
−𝟏
106
ഥ
𝛝 ∝ 𝐤, means stronger bonds absorbs frequency in high range.
ഥ
𝛝 ∝
𝟏
𝝁
, meansheavier atoms absorb frequency in low wave number
107
Middle IR
Near IR
2.5
Far IR
25
0.8 250
12500 4000 400 40
E = 1-10 kcal/mol
Bond Vibrations (most useful I.R. region)
Identify the order of decreasing vibrational frequency for
C - H and C - D bond
108
Identify the increasing order of stretching frequencies for
C ≡ C, C = C and C - C bond
ഥ
𝝑 =
𝟏
𝟐𝝅𝒄
𝒌
𝝁
𝒄𝒎
−𝟏
Energy of Vibrational Energy level is expressed as
𝐸𝑛 = 𝑛 +
1
2
ℎ𝜗 𝐽𝑜𝑢𝑙𝑒𝑠
𝜀𝑛 =
𝐸
ℎ𝑐
= (𝑛 +
1
2
)ഥ
𝜗 𝑐𝑚−1
Where, 𝒏 = 𝑣𝑖𝑏𝑟𝑎𝑡𝑖𝑜𝑛𝑎𝑙 𝑞𝑢𝑎𝑛𝑡𝑢𝑚 𝑛𝑢𝑚𝑏𝑒𝑟 = 0,1,2,3, … …
109
Why A molecule can never have zero vibrational energy?
𝐧 = 𝟏
Energy levels of SHO are equally spaced
n=0
n=1
n=2
n=3
n=4
n=5
n=6
Selection rule for a SHO undergoing vibrational changes
𝑛 = 2, 𝜀2 =
5
2
ഥ
𝜗 𝑐𝑚−1 𝑎𝑛𝑑 𝑠𝑜 𝑜𝑛
110
The energy of the molecule corresponding to n = 0 level is known as zero point energy
𝑛 = 0, 𝜀𝑂 =
1
2
ഥ
𝜗 𝑐𝑚−1
𝜺𝒐 =
𝟏
𝟐 𝜗
¯
𝑛 = 1, 𝜀1 =
3
2
ഥ
𝜗 𝑐𝑚−1
𝜺𝟏 =
𝟑
𝟐 𝜗
¯
𝜺𝟐 =
𝟓
𝟐 𝜗
¯
𝜺𝟑 =
𝟕
𝟐 𝜗
¯
𝜺𝟒 =
𝟗
𝟐 𝜗
¯
𝜺𝟓 =
𝟏𝟏
𝟐 𝜗
¯
𝜺𝟕 =
𝟏𝟑
𝟐
𝜗
¯
𝜀𝑛 = (𝑛 +
1
2
)ഥ
𝜗 𝑐𝑚−1
Energy between two adjacent levels
𝜀𝑛→𝑛+1 = 𝑛 + 1 +
1
2
ҧ
𝜗 − 𝑛 +
1
2
ҧ
𝜗 𝑐𝑚−1
= ҧ
𝜗 𝑐𝑚−1
111
Anharmonic Oscillator (AHO)
Real molecules do not obey laws of SHO for large amplitude of vibrations
𝜀𝑛 = 𝑛 +
1
2
𝜔𝑒 − 𝑛 +
1
2
2
𝜔𝑒𝜒𝑒 𝑐𝑚−1
The selection rules for anharmonic oscillator
n = 1, 2, …. etc
112
n=0
n=1
n=2
n=3
n=4
n=5
n=6
Energy
Internuclear Distance
𝜺𝒐 =
𝟏
𝟐
𝟏 −
𝟏
𝟐
𝝌𝒆 𝝎𝒆
𝜺𝟏 =
𝟑
𝟐
𝟏 −
𝟑
𝟐
𝝌𝒆 𝝎𝒆
𝜺𝟐 =
𝟓
𝟐
𝟏 −
𝟓
𝟐
𝝌𝒆 𝝎𝒆
Dissociation Energy
De
Where, 𝒏 = 𝟎, 𝟏, 𝟐, … .
𝝌𝒆 = Anharmonicity Constant
𝝎𝒆 = 𝐄𝐪𝐮𝐢𝐥𝐢𝐛𝐫𝐢𝐮𝐦 𝐎𝐬𝐜𝐢𝐥𝐥𝐚𝐭𝐢𝐨𝐧 𝐅𝐫𝐞𝐪𝐮𝐞𝐧𝐜𝐲 𝐢𝐧 𝒄𝒎−𝟏
Probable transitions
𝒏 = 𝟎  𝒏 = 𝟏, 𝒏 = 𝟏: 𝑰𝒏𝒕𝒆𝒏𝒔𝒆 𝑨𝒃𝒔𝒐𝒓𝒑𝒕𝒊𝒐𝒏 (𝑭𝒖𝒏𝒅𝒂𝒎𝒆𝒏𝒕𝒂𝒍 𝑨𝒃𝒔𝒐𝒓𝒑𝒕𝒊𝒐𝒏)
𝚫𝜺 = 𝝎𝒆 (𝟏 − 𝟐𝝌𝒆) 𝒄𝒎−𝟏
𝒏 = 𝟎  𝒏 = 𝟑, 𝒏 = 𝟑: 𝒏𝒆𝒈𝒍𝒊𝒈𝒊𝒃𝒍𝒆 𝒊𝒏𝒕𝒆𝒏𝒔𝒊𝒕𝒚 (𝑺𝒆𝒄𝒐𝒏𝒅 𝒐𝒗𝒆𝒓𝒕𝒐𝒏𝒆)
𝚫𝜺 = 𝟑𝝎𝒆 (𝟏 − 𝟒𝝌𝒆) 𝒄𝒎−𝟏
𝒏 = 𝟎  𝒏 = 𝟐, 𝒏 = 𝟐: 𝑾𝒊𝒕𝒉 𝑺𝒎𝒂𝒍𝒍 𝑰𝒏𝒕𝒆𝒏𝒔𝒊𝒕𝒚 𝑭𝒊𝒓𝒔𝒕 𝒐𝒗𝒆𝒓𝒕𝒐𝒏𝒆
𝚫𝜺 = 𝟐𝝎𝒆 (𝟏 − 𝟑𝝌𝒆) 𝒄𝒎−𝟏
113
Q. The fundamental and first overtone transitions of NO are centred at
1876 cm-1 and 3724 cm-1 respectively. Evaluate the equilibrium vibrational
frequency, the anharmonicity constant, the zero point energy.
114
Ans: ~ 𝜔𝑒=1903 cm-1, 𝜒 𝑒=7.3 x 10-3 cm-1, zero point energy=949 cm-1
Frequency (ϑ)
Fundamental
First overtone Second overtone
Frequency (𝜗)
Harmonic oscillator Anharmonic oscillator
n=0
n=2
n=1
n=3
n=4
1
2
ℎ𝜗
E
Bond distance
Bond distance
First Overtone
Fundamental
n=0
n=1
n=2
115
E
T%
Wavenumber (cm-1)
116
Group Frequencies
117
Bond Class of compound Range (cm-1)
C-C Alkane 1200 - 700
118
C-H Alkane 2965 - 2850
C=C Alkene
C ≡ C Alkyne
1680 - 1620
2130 - 2150
Aldehyde 1740 – 1720
Ketone 1725 - 1705
Carboxylic acid 1725 - 1700
Amide 1700 - 1630
Bond Class of compound Range (cm-1)
119
O-H Alcohol (monomer) 3650 - 3590
Bond Class of compound Range (cm-1)
120
C-O Alcohol, ester, acid, ether 1300 - 1000
Carboxylic acid (H-bonded) 3300 - 3250
O-H…O Alcohol (H-bonded) 3420 - 3200
N-H Amine, Amide 3500 (approx)
CN Nitrile 2260 - 2240
Bond Class of compound Range / cm-1
121
C-X Chloride 800 - 600
Bromide 600 - 500
Iodide 500 (approx)
Bond Class of compound Range / cm-1
122
IR Spectra of Toluene
Stretching:
C-H(Aromatic) 3099 𝒄𝒎−𝟏
C-H(Aromatic) 3032 𝒄𝒎−𝟏
C-H(Alkyl) 2925 𝒄𝒎−𝟏
C=C 1506 𝒄𝒎−𝟏
123
Wavenumbers/cm-1
100
50
0
%
Transmittance
4000 2000
Carboxylic Acid
Stretching:
O–H (Stretch) 3300-2500 cm-1
C=O (Stretch) 1760-1690 cm-1
C–O (Stretch) 1320-1210 cm-1
124
Wavenumbers/cm-1
%
Transmittance
Aniline
Stretching:
N–H 3400-3250 cm-1
125
Wavenumbers/cm-1
%
Transmittance
?
IR frequency of C=O bond
Factors can influence
Inductive Effect
Addition of +I groups result in weakening of CO bond and the 𝜗𝑐𝑜 value decreases
Reason: decrease in bond order and hence the bond strength
1750 cm-1 1745 cm-1 1715 cm-1
126
Introduction of groups having –I effect
results in increase in bond order of CO and hence increase the absorption
frequency (𝜗 values).
127
1750 cm-1
1715 cm-1 1725 cm-1 1740cm-1
1750 cm-1
Mesomeric Effect
Conjugation lowers the ϑcovalue by weakening the bond.
1715 cm-1 1706 cm-1
No Conjugation Conjugation
128
1693 cm-1
Extension of Conjugation
129
Q. In the IR spectra, Benzamide and Phenyl Acetate show 𝜗𝑐𝑜stretching
frequency at 1663 cm-1 and 1730 cm-1 respectively. Justify?
Q. Arrange the compounds ‘a’ ‘b’ and ‘c’according to their 𝜗𝑐𝑜 absorption
frequency: 1677 cm-1, 1700 cm-1, 1770 cm-1.
H-bonding brings downward frequency shifts
130
Hydrogen Bonding
Intra-molecular H-bonding gives rise to sharp peak
Inter-molecular H-bonding gives rise to broad peak
Stronger the H-bonding, greater is the absorption shift towards lower frequency
131
Q. In dilute solution, Amines show stretching frequency at 3650 cm-1,
while a broad band is appeared at 3300 cm-1 in condense phase
spectra. Explain why?
Q. Explain why, the spectrum of glycol in CCl4 shows two peak at 3644
and 3612 cm-1.
O-H
N-H
C-H
C≡C
C≡N
C=O
C=N
C=C
Fingerprint
Region
C-C
C-N
C-O
4000 3600 3200 2800 2400 2000 1600 1200 800 600 400
132
Fingerprint region
 Range ~ 1400 cm-1 to 1000 cm-1 range
 Rich in Bending Vibration of C-C, C-H, C-N, C-O etc.
 This is referred to as the “fingerprint” region 133
𝜗𝑂𝐻 for O-H stretching ~ 3230 cm-1 and 3550 cm-1 (Broad)
Two peaks for C-O stretching at ~1000 cm-1 and 1300 cm-1 in the fingerprint region.
-OH
C-O
134
Esters show a strong absorption between 1750 -1730 cm-1 due to C=O bond stretching.
135
O-H C=O C-O
N-H
Aromatic C-C
C-H
C=C C-C alkanes
CN C-Cl
136
137
138
References: Fundamentals of Analytical Chemistry, 9th Edition, Douglas
A. Skoog, Donald M. West, F. James Holler, Stanley R. Crouch
Retention and Separation factors, Theoretical plates, Instrumentation and uses
of Gas Chromatography and High Performance Liquid Chromatography
139
140
141
 He worked on the separation of plant pigments such
as chlorophyll, carotenes, and xanthophylls which are
have different colours.
142
 Chromatography (color writing) was first employed by Mikhail Tswett in 1903
143
It is a physical separation method in which the components of a mixture
are separated by differences in their distribution between two phases
Stationary phase
Mobile phase
Purify – Separate components in order to isolate one of interest for further study
144
Analyze – Examine a mixture, its components, and their relations to one another
Identify – Determine the identity of a mixture or components based on known
components
Quantify – Determine the amount of the a mixture and/or the components
present in the sample
Components that weakly held by the stationary phase move fast with the
mobile phase.
145
The substances must interact with the stationary phase to be retained
and separated by it.
Components that strongly retained by the stationary phase move slowly
by mobile phase.
Analyte:
The substance to be separated during chromatography
146
Retention time (RT):
Is a measure of the time taken for a solute to pass through a chromatography column
It is calculated as the time from injection to detection
Chromatogram:
The visual output of the chromatograph
Chromatograph:
Equipment for performing chromatography
Stationary
phase
Eluent:
Is the solvent that carries the analyte.
147
Elution/Development:
The process of passing the mobile phase through the column.
Eluate:
Is the mobile phase leaving the column.
Flow rate (FC):
Volume of mobile phase passed/minute (mL/min).
Eluent
Stationary
phase
Eluate
An immobilized phase in chromatography system through which the
materials are to be separated
e.g. Silica, Alumina.
148
Characteristics:
Spherical in shape & uniform in size
Chemically inert and high mechanical stability
Separating wide variety of compounds
Easily available & inexpensive
Particle size is in the range 50-200 µm
Stationary Phase
Stationary
phase
149
Silica Gel
Stationary Phase
http://www.chromatography- online.org/Stationary- Phases- and- Supports/Alumina.php
The second type of alumina is defined as neutral (pH
structure,
Neutral Alumina
Finally the third type of alumina is defined as basic (p
structure
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150
Basic Alumina
realized from those coated with silica
precipitated from aluminum chloride
are removed by washing with dilute a
and finally heated to about 800oC.Th
first type is acidic in character (pH 4.0
AcidicAlumina
Stationary Phase
Acidic Alumina
Nutral Alumina
151
Neutral alumina - Useful for separation of aldehydes, ketones, quinones,
esters and lactones etc.
Acidic alumina - Useful for separation of acid pigments and strong acids.
Basic alumina - Useful for basic and neutral compounds that are stable to
alkali, as well as for amines, steroids, alkaloids and natural pigments.
Gas or liquid that carries the mixture of components through the stationary phase
152
The function of a mobile phase:
1. To introduce the mixture into the column – as solvent.
2. To remove or elute pure components out of the column – as eluent.
3. As color developing agent.
Mobile Phase
The solvents should have sufficiently low boiling points to permit ready recovery
of eluted material
However, polarity as seen the most important factor in adsorption chromatography
It can be used in either pure form or as mixture of solvents
153
Polarity order of various solvents:
Pure water > Methanol > Ethanol > Propanol > Acetone > Ether > Chloroform
> Dichloromethane > Toluene > Hexane > Pentane.
Selection of solvent as mobile phase
154
Chromatography
Gas
Chromatography
(GC)
Liquid
Chromatography
(LC)
Supercritical Fluid
Chromatography
(SFC)
Classification: based on mobile and stationary phases
155
1. Gas-liquid Chromatography :
Stationary Phase: Liquid bonded or adsorbed on solid surface
Type of equilibrium: Partition between gas and liquid
2. Gas-solid Chromatography :
Stationary Phase: Solid surface
Type of equilibrium: Adsorption
Gas Chromatography (GC)
Classification: based on mobile and stationary phases
156
1. Liquid-liquid or Partition Chromatography :
Stationary Phase: Liquid bonded or adsorbed on solid surface
Type of equilibrium: Partition between immiscible liquid
2. Liquid-solid or Adsorption Chromatography :
Stationary Phase: Solid surface
Type of equilibrium: Adsorption
Liquid Chromatography (LC)
3. Ion Exchange Chromatography :
Stationary Phase: Ion exchange resin
Type of equilibrium: Ion exchange
Classification: based on mobile and stationary phases
157
4. Size Exclusion Chromatography :
Stationary Phase: Liquid in interstices of a polymeric solid.
Type of equilibrium: Partition or sieving
5. Affinity Chromatography:
Stationary Phase:
Solid surface tagged with some specific group
Type of equilibrium:
Partition between surface liquid and mobile liquid
Classification: based on mobile and stationary phases
158
Mobile Phase: Supercritical Fluid
Stationary Phase: Solid surface
Type of equilibrium:
Partition between supercritical fluid and solid surface
Supercritical Fluid Chromatography:
Classification: based on mobile and stationary phases
Stationary phase: The most common are Silica-gel and Alumina
159
More polar molecules are adsorbed more strongly
Hence, elute more slowly
Order of adsorption of polar groups on polar support :
-C=C- < -OCH3 < -COOR < -C=O < -CHO < -NH2 < -OH < -COOH
Olefins < Ethers < Esters < Aldehydes < Amines < Phenols < Acids
Stationary phase interacted with solute molecules
due to OH groups present on their surface
Adsorption chromatography
Stationary phase: In this type, the packing consists of a theoretically
inert support material coated with a film of the liquid stationary phase
160
The division into adsorption and partition is only of theoretical
significance as in partition chromatography the adsorption effects of the
support can also be felt
Partition Chromatography
Partition coefficient / Distribution Constant (K): The ratio of the
concentrations of a solute in two immiscible or slightly miscible liquids
K = CS/CM
Where, CS = Concentration of solute in stationary phase
CM = Concentrations of solute in mobile phase
161
Therefore, K = (nS/VS)/(nM/VM)
K = CS/CM
Distribution constant : partition chromatography
CS = nS/VS
CM = nM/VM
= (nS/nM) x (VM/VS)
162
Column Equilibrium
Sample Adsorption
Sample Desorption
Anion Exchange Cation Exchange
Ion-exchange Chromatography
The water softening process involving replacement of calcium ions in
water with sodium ions by a cation-exchange resign.
163
Ion-exchange Chromatography
Useful for macromolecules, proteins and polymers separation
164
Size exclusion Chromatography
Small particles can enter into the gel and have less
volume to traverse and elute latter
Large particles cannot enter into the gel and excluded
They have less volume to traverse and elute sooner
Gel Permeation Chromatography (GPC): Organic solvent can be used as
mobile phase. Semi-rigid/rigid gels like polystyrenes, alkylated dextrons are
used as stationary phase.
Gel Filtration Chromatography (GFC): Aqueous or buffer solution can be
used as mobile phase. Dextran polymers (Sephadex), agarose (Sepharose), or
polyacrylamide (Sephacryl or BioGel P) can be used as mobile phase.
165
Size exclusion Chromatography
166
Affinity Chromatography
 Useful for separation of biochemical mixtures based on highly specific
interaction between antigen and antibody, enzyme and substrate,
receptor and ligand or protein and nucleic acid.
167
 Mostly used for the purification of proteins. It separates proteins on
the basis of reversible interaction between protein (or group of proteins)
and a specific ligand coupled to a chromatography matrix.
Affinity Chromatography
168
Stationary
phase
Two dimensional
chromatography
Paper
chromatography
Thin layer
chromatography
Three dimensional
chromatography
Column
chromatography
Classification based on the physical means
(Methods holding the stationary phase)
169
Planar Chromatography: Stationary phase is supported on a flat plate on
which the mobile phase moves on it by capillary action
Planar Chromatography
 Thin Layer Chromatography (TLC): The stationary phase is a
thin layer supported on glass, plastic or aluminium plates.
170
 Paper Chromatography (PC): The stationary phase is a thin film of
liquid supported on an inert support or paper.
Classification based on the Technique
Separations on TLC involve distributing a mixture of two or more
substances between a stationary phase and a mobile phase
The stationary phase: Thin layer of adsorbent (usually silica gel or
alumina) coated on a plate (Glass or Aluminium plate)
171
The mobile phase: It is a developing liquid which travels up the
stationary phase, carrying the samples with it
Planar Chromatography: Thin layer Chromatography (TLC)
Components of the samples will separate on the stationary phase according
to how much they adsorb on the stationary phase versus how much they
dissolve in the mobile phase.
172
Planar Chromatography: Thin layer Chromatography (TLC)
173
When the plates are removed from the chamber, quickly trace the solvent front
(the highest solvent level on the plate) with a pencil.
174
Thin layer chromatography (TLC): How to perform
175
Thin layer Chromatography (TLC): How to Perform
The most common visualization technique is to hold the plate under a UV lamp
Visualizing Agents:
 Alkaloids: Dragendorff’s reagent
 Cardiac glycosides: Antimony trichloride
 Sugar: Aniline phthalate
 Amino acids: Ninhydrin
176
Thin layer Chromatography (TLC): Identifying the Spots
177
Rf =
distance simultaneously travelled by the mobile phase
distance travelled by the center of the spot
Rf =
distance travelled by the solvent front
distance travelled by the compound
OR
The Rf (retention factor) value for each spot should be calculated
Calculation for retention factor (Rf)
178
Solvent front
1.5
cm
2.3
cm
3.0
cm
4.0
cm
Rf ( ) = 1.5/4
Rf ( ) = 2.3/4
Rf ( ) = 3/4
Thin layer Chromatography (TLC): Interpreting the Data
It is characteristic for any given compound
on the same stationary phase using the same mobile phase
179
Hence, known Rf values can be compared to those of
unknown substances to aid in their identifications
Thin layer Chromatography (TLC): Retention Factor (Rf)
Column Chromatography (CC): Stationary phase is packed in a glass column
180
Classification Based on the Technique:
The main function of the column is to support the stationary phase
Column is mostly good quality neutral glass and not affected by solvents
Column dimensions - length and diameter ratio (10:1, 30:1 or 100:1)
181
Column Chromatography (CC): Column Characteristics
The stationary phase is packed into a column
182
Sample addition: Apply evenly and in a concentrated solution to the top
of the column which is protected from disturbance
Packing of column: Packing depends mainly on the density of the solid
Techniques used are the wet, dry and slurry methods
In all cases avoid inclusion of air bubbles
Column Chromatography (CC): Column Packing
Isocratic elution: Addition of solvent mixture of fixed composition
during the whole process.
e.g. Single solvent or solvent mixture with fixed composition
183
Gradient elution: Continuous change in the composition of the mobile
phase over a period of time (e.g. polarity, pH or ionic strength).
Usually mixture of solvents e.g. Ethyl acetate-hexane, Methanol-
dichloromethane
Column Chromatography (CC): Types of Elution
On-column detection: For colored or fluorescent compounds directly
after developing the chromatogram.
Monitoring the eluted fractions with TLC or PC.
Using special detectors: Connected to the column such as refractive
index, UV detectors, etc.
184
Column Chromatography (CC): Detection
185
Column Chromatography (CC): Detection
Poor resolution
Good resolution
186
Column Chromatography (CC): Peak Resolution
The resolution (Rs) of the column tells us how far apart two bands are
relative to their widths.
187
Column Resolution
188
Particle size of solid stationary phase : Decrease of size improves separation
Column dimensions: Efficiency increases as ratio length / width increases
Uniformity of packing: Non uniform packing results in irregular
movement of solutes through column and less uniform zone formation (i.e.
band broading or tailing)
CC: Factors Affecting Column Efficiency
Column temperature: Increase in column temperature results in speed of
elution but does not improve separation (tailing)
189
Continuity of flow: Discontinuous flow disturbs resolution
Solvent flow rate: Uniform and low flow rate gives better resolution
CC: Factors Affecting Column Efficiency
Eluting solvent: Solvents should be of low viscosity (to give efficient
resolution) and high volatility (to get rapid recovery of the substances)
Concentration of solutes: Substances of high concentration move slowly
Condition of adsorbent: Deactivation of adsorbent decreases separation
Column
Collected fractions
Monitor: To get
the chromatogram
190
Column Chromatography (CC): An Automated Machine
A (stationary) ⇌ A (mobile)
The equilibrium constant for this reaction is called as distribution constant.
KC = CS/CM
KC is equilibrium constant (distribution constant)
CS = Concentration of solute in stationary phase
CM = Concentrations of solute in mobile phase.
CS is directly proportional to CM
CS = nS/VS, CM = nM/VM
191
All chromatographic separations are based on differences in the extent to
which solutes are distributed between mobile and stationary phase
Column Chromatography (CC): Migration Rates of Solutes
tR = tM + tS;
tS = time duration of the analyte retained in the stationary phase
Volumetric flow rate FC = VR / tR
192
Column Chromatography (CC): Migration Rates of Solutes
 Retention Volume (VR) - Volume of eluent needed to convey a solute
band from the point of injection , through the column, to the detector
193
 Retention time (tR) - Time needed for each component of the mixture
after injection to reaches the detector
 Dead or void time (tM) - Transit time of the un-retained solute to reach
the detector, known as void time
Column Chromatography (CC): Migration Rates of Solutes
Velocity = Distance/Time  Length of column/ Retention times
Velocity of Solute:
194
x tM/tM
Velocity of solute:
Column Chromatography (CC): Velocities
M
R
t
L
t
L
v



Velocity of Mobile Phase:
x tM/tR
M
S
M
S
M
M
S
S
S
S
M
M
M
M
V
V
K
v
c
c
K
V
c
V
c
v
V
c
V
c
V
c
v
/
1
1
Constant
on
Distributi
,
/
1
1













A
k
V
V
K
where
M
S
A
 Retention factor for solute A
M
S
M
M
R
A
A
M
R
A
t
t
t
t
t
k
k
t
L
t
L
k
v









1
1
1
1

M
R
t
L
t
L
v



Ideally the retention factor for analytes
in a sample between 1 and 5
195
CC: Velocity, Distribution Constant and Retention Factor
In two component system; Can “A” be separated from “B”?
For example; B retained in the column more than A  α >1
M
A
R
M
B
R
M
M
B
R
B
M
M
A
R
A
A
B
t
t
t
t
t
t
t
k
and
t
t
t
k
k
k








)
(
)
(
)
(
)
(

 kB and kA are Retention factors
tM , tR Retention times.
196
CC: Selectivity factor/Separation factor (α)
197
Column Efficiency - Plate Theory
The column is divided into a number of zones (theoretical plates)
Within each theoretical plates complete equilibration of analyte
occurs between stationary and mobile phase
Assumption
198
Greater separation occurs with:
Greater number of theoretical plates (N)
L = N × H
H = L/N
Where, L - Length of the column
N - Number of plates
H - Height Equivalent of Theoretical Plates
Height Equivalent to a Theoretical Plate (HETP)
Solute moving through a column spreads into a Gaussian
shape with standard deviation σ, and the variance is σ2.
L
H
2


199
The variance per unit length of column is the
measurement of column efficiency.
Plate Theory
Band spreading
The width of bands increases as their retention time (volume) increases
2
16
pates
of
number
L/H








W
t
N
N
R
Common measures of breadth are:
The width W at the baseline between tangents drawn to the steepest parts of the peak
(inflection points).
200
(c) L = H x N
H = L / Naverage = 25 / 1276 = 2.35 x 10-2 cm 201
Q. Substances A and B have retention times of 13.01 and 14.31 min,
respectively, on a 25 cm column. The peak widths at base for A and B are 1.45
and 1.61 min, respectively.
Calculate (a) The column resolution, (b) The average number of plates in the
column, (c) The average plate height
Ans: Given, (tR)A = 13.01 min; (tR)B = 14.31 min
L = 25 cm
WA = 1.45 min; WB = 1.61 min
(a) Resolution; RS = 2 [(tR)B ⎯ (tR)A] / (WA + WB) = 0.85
(b) Number of Plates NA = 16 [(tR)A / W]2 = 1288
NB = 16 [(tR)B / W]2 = 1264
Average number of plates; NAverage = [NA + NB] / 2 = 1276
(c) L = H x N
H = L / Naverage = 30 / 3445 = 8.7 x 10-3 cm 202
Q. Substances A and B have retention times of 16.40 and 17.63 min, respectively,
on a 30 cm column. An unretained species passes through the column in 1.30 min.
The peak widths at base for A and B are 1.11 and 1.21 min, respectively.
Calculate (a) The column resolution, (b) The average number of theoretical plates in
the column, (c) The average plate height
Ans: Given, (tR)A = 16.40 min; (tR)B = 17.63 min; tM = 1.30 min
L = 30 cm
WA = 1.11 min; WB = 1.21 min
(a) Resolution; RS = 2 [(tR)B ⎯ (tR)A] / (WA + WB) = 1.06
(b) Number of Plates NA = 16 [(tR)A / W]2 = 3493
NB = 16 [(tR)B / W]2 = 3397
Average number of plates; NAverage = [NA + NB] / 2 = 3445
Ans: Given, KA = 5.99; KB = 6.16; VS/VM = 0.425
(a) Retention factor; kA = KA x (VS/VM) = 2.546
kB = KB x (VS/VM) = 2.618
(b) Selectivity factor;  = kB / kA = 1.03
(c) L = HN = 9.03 x 104 x 1.53 x 10-3 = 138.159 cm
203
Q. Two components A and B are separated by elution with hexane from a
column packed with silica-gel (water adsorbed on silica surface). Distribution
coefficients (K = Caq/Corg) of compounds A and B in water/hexane system are
5.99 and 6.16 respectively. The ratio VS/VM for the packing is 0.425.
Calculate, (a) Retention factor for A and B, (b) Selectivity factor, (c) Length of
the column if the number of theoretical plates and plate height of packing are
9.03 x 104 and 1.53 x 10-3 cm respectively.
Ans:
 NA = 16 [(tR)A / W]2
 H = L / N
 H = σ2/L
204
Calculate
a) The number of plates from each peak
b) Average plate height
c) Standard deviation
Q. The following data are for a liquid chromatographic column:
Length of packing: 24.7 cm, Flow rate: 0.313 mL/min, VM: 1.37 mL, VS: 0.164 mL
A chromatogram of a mixture of species A, B, C and D provided the following data:
From the above data Calculate
(a) Retention factor
(b) The distribution constant.
Ans. (a) Retention factor; kA = [(tR)A – tM]/tM = tS/tM
Similarly, kB, kC, kD can be calculated
(b) Distribution constant; KA = kA (VM/VS)
Similarly, KB, KC, KD can be calculated
205
Q. The following data are for a liquid chromatographic column:
Length of packing: 24.7 cm, Flow rate: 0.313 mL/min, VM: 1.37 mL, VS: 0.164 mL
A chromatogram of a mixture of species A, B, C and D provided the following data:
Ans.
 NA = 16 [(tR)A / W]2
 L = H x N
 H = σ2/L
206
Q.
Ans. Resolution;
From the above data; Calculate the resolution for
(a) Methylcyclohexene and methylcyclohexane
(b) Methylcyclohexene and toluene
(c) Methylcyclohexane and toluene
207
Q.
Ans. (a) Retention factor,
(b) Distribution constant, kA = KA x (VS/VM)
(c) Selectivity factor,
M
S
M
M
R
A
A
M
R
A
t
t
t
t
t
k
k
t
L
t
L
k
v
=
-
=
+
´
=
+
´
=
1
1
1
1
µ
M
A
R
M
B
R
M
M
B
R
B
M
M
A
R
A
A
B
A
B
t
t
t
t
t
t
t
k
and
t
t
t
k
k
k
K
K
-
-
=
-
=
-
=
=
=
)
(
)
(
)
(
)
(
a
a
a
9. If VS and VM for the column in the problem 7 are 19.6 and 62.6 mL, respectively, and
a non retained air peak appears after 1.9 min, Calculate
(a) The retention factor for each compound
(b) The distribution constant for each compound
(c) The selectivity factor for methylcyclohexane and
methylcyclohexene
208
Gas Chromatography
209
John Porter Martin developed first
gas-liquid chromatograph in 1950
210
Separation of gaseous and volatile substances
The mobile phase do not interact with the analyte
Type of GC
The mobile phase only transport the analyte
GSC (Gas-solid chromatography)
Gas Chromatography
GLC (Gas-liquid chromatography
Inert gas (e.g. He, N2, Argon etc) are used as mobile phase
211
GSC (Gas-solid chromatography)
 GSC principle is ADSORPTION
GLC (Gas-liquid chromatography
 GLC principle is PARTITION
 useful for separation of low molecular
mass gaseous like air, H2S, CO, CO2, CS2
and rare gases
 not used because of limited no. of
Stationary phase
Criteria for compounds to be analyzed by G.C
 Volatility
 Thermostability
Advantages of Gas Chromatography
Strong separation power
Complex mixture can be resolved into constituents
Good precision and accuracy
Separation completed in a short time
Low cost of instrument with generally long lifetime
Suitable for routine analysis
212
Schematic diagram of a gas chromatograph
213
Carrier gas Column oven
Flow controller
Sample
injector
Detector
Waste
Column
Recorder
How a GC machine works
Smple is injected onto the machine.
214
 Components reaches the detector and recorded as a sequence of
peaks as they leave the column
 Sample converted into vapor and mixed with gaseous mobile phase
 The sample moves through the column along with the flow of inert
gas and separation occurs
Components are separated according to their Partition coefficient
Components of Gas chromatography
Detectors
 Flame ionization (FID)
 Thermal conductivity (TCD)
 Electron capture (ECD)
 Flame photometric (FPD)
 Photo-ionization (PID)
215
Carrier gas
 He (common), N2, H2 and Argon
Sample injection port
 micro syringe
Columns
 2-50 m coiled stainless steel/glass/Teflon
 Pressure, P = inlet 10-50 psi (pound per inches2)
Flow, F = 25-150 mL/min (packed column)
F = 1-25 mL/min (open tubular column)
Carrier gas
216
 Must be chemically inert
Commonly used gases include nitrogen, helium,
argon, and carbon dioxide
The choice of carrier gas is often dependant
upon the type of detector which is used
The carrier gas system also contains a molecular
sieve to remove water and other impurities
Sample injection- Direct Injection
 The sample port is usually at about 50 oC
217
 Direct injection into heated port
(>T oven) using micro syringe
 Slow injection or oversized samples
cause band spreading and poor resolution
Packed column:
contain a finely divided, inert, solid support material coated with liquid
stationary phase.
218
Column types
Most packed columns are 1.5 – 10 m in length
and
have an internal diameter of 2 – 4 mm.
219
Capillary columns are of two types
 Wall coated open tubular (WCOT)
 Support coated open tubular (SCOT)
 The stationary phase (liquid) coated with a thin layer of 0.05 to 1 μm.
Column types
>
Gas Chromatography - Detectors
 signal is related to the rate at which solute molecules enter the detector
 usually destroy the sample
220
Detectors can be grouped into concentration dependent detectors and mass
flow dependent detectors
 signal is related to the concentration of solute in the detector
 does not usually destroy the sample
Concentration dependent detector
Mass flow dependent detectors
221
High performance liquid chromatography (HPLC)
Solvent
Reservoir
Pump
Column
Injector
Detector Waste
PC for Data
Acquisition
Pump :
• pump extracts mobile phase from the reservoir
• forces it through the system’s column and detector
222
Components of HPLC
Solvent Reservoir :
• The mobile phase, or solvent, in HPLC is usually a mixture of polar and
non-polar liquid.
Sample Injector:
• single injection or
• automated injection system
Detectors:
• UV or fluorescence spectroscopy
• Mass-spectrometric
223
Columns :
• usually between 50 and 300 mm long
• have an internal diameter of between 2 and 5 mm.
• commonly filled with a stationary phase with a particle size of 3–10 µm.
 Instead of a solvent being allowed to drip through a column under gravity, it
is forced through under high pressures of up to 400 atmospheres.
224
Separation of a sample into its constituent parts because of the difference in
the relative affinities of different molecules for the mobile phase and the
stationary phase used in the separation.
HPLC : Basic principle
 HPLC is basically a highly improved form of column liquid chromatography
 It is much faster.
 polar samples are retained on the polar surface of column packing longer
than less polar materials.
Types of HPLC
225
Normal Phase HPLC:
 NP-HPLC uses polar stationary phase and non-polar mobile phase
 the stationary phase is usually silica
 mobile phases are hexane, methylene chloride, chloroform, diethyl ether,
and mixtures of these
Types of HPLC
226
Reverse Phase HPLC:
The stationary phase is non-polar (hydrophobic) in nature
 mobile phase is a polar liquid, such as mixtures of water and
methanol or acetonitrile.
works on the principle of hydrophobic interactions hence the more
nonpolar the material will be retained longer
Applications of HPLC
Pharmaceutical Applications
1. Pharmaceutical quality control.
227
Environmental Applications
1. Detection of phenolic compounds in drinking water.
2. Bio-monitoring of pollutants.
Applications in Forensics
1. Determination and quantification of drugs in
blood, urine etc.
Food Safety
1. Measurement of Quality of soft drinks and water.
2. Sugar analysis in fruit juices.
228
Thermal methods of analysis
Thermal methods of analysis
A group of techniques in which the physical properties of a
substance is measured as a function of temperature while the
substance is subjected to controlled temperature program.
229
The most commonly used techniques are those which measure
changes of mass or changes in energy of a sample of a substance
1. Thermogravimetry Analysis (TGA)
2. Derivative Thermogravimetry (DTG)
3. Differential Thermal Analysis (DTA)
4. Differential Scanning Calorimetry (DSC)
230
Thermal methods of analysis
Thermal gravimetric analysis (TGA)
A technique in which the mass of a substance is monitored as a function of
temperature or time
Samples are subjected to a controlled temperature program in a controlled atmosphere
231
What does a TGA thermal curve look like?
232
Data recorded in form of curve known as thermogram
Change in sample composition
Thermal stability
Decomposition reactions and temperatures
Absorbed moisture content
Kinetic parameters for chemical reactions in the sample
Purity
233
Dynamic TGA: the sample is subjected to condition of a continuous increase
in temperature at a constant heating rate, i.e., usually linear with time.
Isothermal or Static TGA: sample is maintained at a constant temperature for
a period of time during which change in weight is recorded.
Quasi-static TGA: sample is heated to a constant weight at each of a series of
increasing temperature.
Different types of TGA
Furnace (made up of quartz): Programmed to increase the temperature “linearly
a predetermined rate of 0.5 – 25 oC/min from r.t. – 1200 oC.
235
Instrumentation
The main components of the TGA apparatus are:
Analytical thermo balance:
For the measurement of mass with reproducibility with the order of ±10 micro gram
Environment control equipment: For providing inert atmosphere for the sample
whenever desired.
The auto sampler: Helps to load the samples on to the microbalance.
A recorder: That gives a graph of m (or dm/dt) as a function of T.
Horizontal portion indicate
there is no mass change, an indication of the thermal stability of the sample
The slanding portion indicate weight loss due any physical or chemical
process like dehydration / formation of volatile products due to decomposition
or dissociation etc. 236
Block diagram of TGA
Types of TGA curves
Curve 3:
Single stage decomposition: This curve is typical of
single-stage decomposition temperatures having
Ti and Tf.
Mass
Temperature
Curve 1:
No change: depicts no mass change over the entire
range of temperature, the decomposition temperature
is greater than the temperature range of the instrument.
Curve 2:
Desorption/drying: This curve shows that the mass
loss is large followed by mass plateau. This is formed
when evaporation of volatile product(s) during
desorption, drying or polymerization takes place
Mass
Temperature
Mass
Temperature
Curve 7: Similar to curve 6, but product decomposes at high temperatures.
For example, the reaction of surface oxidation followed by decomposition of
reaction product(s).
Types of TGA curves
Mass
Temperature
Curve 4: Multistage decomposition: This curve reveals
the multi-stage decomposition processes as a result
various reactions.
Curve 5: Similar to 4, but either due to fast heating
rate or due to no intermediates.
Curve 6: Atmospheric reaction: This curve shows the
increase in mass. This may be due to the reactions such
as surface oxidation reactions in the presence of an
interacting atmosphere.
TGA experiment: Processes that leads to weight gain and loss
239
Applications of TGA
In Qualitative analysis
Allows a comparison of thermal stabilities of the related materials.
Materials Characterization/Purity: fingerprinting of materials for
identification / quality control.
240
In Quantitative analysis
Compositional analysis: filler content in polymers; carbon black in oils; ash
and carbon in coals, and the moisture content of many substances.
Corrosion studies: Study oxidation or some reactions with other reactive
gases or vapors.
It aims how much of a substance is present in the sample: e.g. how much Ba2+ and
Ca2+ is present in a mixture.
Q. Calcium and Barium ions were precipitated as monohydrated oxalates
(BaC2O4.H2O and CaC2O4.H2O). 0.6025 sample was taken and subjected to heating
rate of 5 oC/min. They left a residue that weighed 0.5713 gm in 320-400 oC range and
mass loss in this temperature range corresponds to the combined loss of water by
monohydrated oxalate of Ca and Ba. A further loss in mass was observed in the
temperature range of 580-620 oC and the left residue of BaCO3 and CaCO3weighed
0.4673 gm.
Calculate the percentage of Ca+2 and Ba+2 ions in the sample?
Calcium oxalate monohydrate display three weight loss when heated
243
Thermogram of calcium oxalate monohydrate
Ca(COO)2 H2O → [180°C] → Ca(COO)2 + H2O (g)
244
CaCO3 → [750°C] → CaO + CO2 (g)
Ca(COO)2 → [480°C] → CaCO3 + CO (g)
Decomposition of polyester
and removal of volatiles
Liberation of CO2 from CaCO3
Temperature (oC)
Weight
(%)
200 400 600 800
100
50
0
I
II
245
% of CaCO3 = % of CO2
molecular weight of CaCO3
molecular weight of CO2
CaCO3 in polyester can be determined by TGA curve as follows:
Limitations of TGA
246
Thus TGA method is largely limited to decomposition and oxidation reactions and to
such physical processes as vaporization, sublimation and desorption.
For TGA to be useful, only when temperature variation must bring about a
change in the mass of analyte.
TGA method cannot be used for
 Glass transition and crystalline temperature of polymer
Pure fusion reactions
 Crystalline transitions  Solid state reactions with no volatile products
Rhombic Sulphur ⇌ Monoclinic Sulphur
Where there is no weight change but absorption or evolution of heat
Derivative Thermogravimetry (DTG)
Plots change in mass with temperature, dm/dt, and resolves changes more clearly
247
Factors that affect the results
248
A) INSTRUMENTAL
• Heating rate
• Furnace atmosphere and flow-rate
• Geometry of pan and material
B) SAMPLE-RELATED
• Mass
• Particle size
• Sample history
TGA & DTG
Differential Thermal Analysis (DTA)
249
Measures the temperature difference between a sample and an inert
reference as a function of temperature while the sample and reference is
heated at a constant rate.
Glass transitions, phase changes, and melting points can be measured.
250
Schematic diagram of a typical DTA system
DTA contain two chambers which are ideal and symmetrical
Sample is placed in one chamber
Thermally inert reference in other (-alumina)
Two chambers are controlled and connected to the same
temperature sensor (usually thermocouple)
The temperature of the furnace and the two chambers are
increased linearly at a rate of 5 -12 degree per min.
Temperature difference (DT = Ts - Tr) between the sample and reference will be
recorded and plotted as a function of Temperature (T/Tr)
Endothermic changes ,the peaks are below zero; eg: absorption, desorption,
sublimation, fusion, vaporization
251
Differential Thermogram: A graph with DT vs. Temp.(T)
Temperature
DT
(Temperature
Difference)
252
A good information can be obtained about the nature of the test sample
from the shape and sizes of these peaks
Broad endothermic peak: Dehydration reactions
Sharp endothermic peaks: Fusion processes or changes in crystallinity
Temperature
DT
(Temperature
Difference)
In Analytical chemistry
 Melting and boiling points and effect of pressure on it
 Identification of the substances (Identification of clays)
253
In Inorganic chemistry
Thermal stability of inorganic compounds and complexes
In Organic chemistry
Qualitative analysis of polymer
mixture by analyzing the characteristic melting point of each polymer
Applications
Differential Scanning Calorimetry (DSC)
DSC is a thermal analysis method where differences in heat flow into a
substance and a reference are measured as a function of sample
temperature, while both are subjected to a controlled temperature
program.
254
255
DSC measures the energy (heat) absorbed or released by a sample as a
function of temperature or time
Q = C T where c is the specific heat of the sample
The reference sample should have a well defined heat capacity over the range
of temperatures to be scanned and analyzed.
The differences in the amount of heat (Q) required to increase the
temperature (T) of a sample and reference are measured as a function of
temperature.
“When the sample undergoes a physical transformation (phase transitions, etc),
more or less heat will be needed to flow to it as compared to the reference to
maintain both of them at the same temperature”
The underlying principle of DSC
Both the sample and reference are maintained at nearly the same temperature
throughout the experiment.
256
Depends on whether the process is exothermic or endothermic
Generally the heat energy supplied to the sample is given a +ve sign.
257
The heat lost due to endothermic reaction is compensated by this supply
The heat energy supplied to the reference is given –ve sign
The heat gain as a consequence of exothermic reaction in the sample
When a solid sample melts into a liquid
258
This is due to the absorption of heat by the sample as it undergoes the
endothermic phase transition from solid to liquid
Similarly, when the sample undergoes exothermic processes (such as
crystallization) less heat is required to raise the sample temperature
It requires more heat flowing in to the sample to increase its temperature
at the same rate as the reference
During a phase transition, a temperature difference (heat flux difference)
between the sample and reference can be measured by means of a
thermocouple
DTA DSC
DSC thermogram
DSC thermogram is similar to DTA
The differences is only with the y axis i.e, dQ/dt is plotted Vs temperature
260
 The enthalpy change can be calculated by integrating the area under the curve.
Temperature (ºC)
Heat
Flow(W/g)
1. Glass transitions
2. Crystallisation time and temperature
3. Percent crystallinity
4. Heats of fusion and reactions
5. Specific heat capacity
6. Oxidative/thermal stability
7. Rate and degree of cure
8. Reaction kinetics
Applications of DSC
261
DTA DSC
1. Graph : ∆T and T
2. Sample size= 5-20 mg
3. Specific heat measurements are not
accurate
4. Calorimetric accuracy in the
temperature range of 190-1000 deg c.
5. Secondary power source is not required
6. The area of DTA peak is complex
function of sample geometry, heat
capacity and heat loses
7. Sensitivity of measurement of heat of
transition is 0.5kJ/mole
1. Graph: dH/dt vs T
2. Sample size= 2-10 mg
3. Specific heat measurements are
accurate
4. Calorimetric accuracy in the temperature
range of 170-750 deg c.
5. Secondary power source is required
6. The area of DSC peak is directly related
to the enthalpy change occurring.
7. Sensitivity of measurement of heat of
transition is few J/mole
262
Technique Instrument Parameter
Measured
Drawing of the
curve
Thermogravimetric
Analysis (TGA)
Thermobalance Mass Mass vs
temperature
Derivative
Thermogravimetriy
(DTG)
Thermobalance dm/dT dm/dT vs
temperature
Differential Thermal
Analysis (DTA)
DTAApparatus ∆ T ∆ T vs temperature
Differential Scanning
Calorimetry (DSC)
Calorimeter dH/dt dH/dt vs
temperature
Basic Principle
263
Inorganic Chemistry
Shriver and Atkins 264
CY1001D: Chemistry: Module 3
Organometallic chemistry and Catalysis
18-electron rule
Organometallic Chemistry
 Organometallic compounds: The compounds contain one or multiples
metal-carbon bond(s)
Chemistry of Metal-Carbon bonds
R-Mg-X, R-Li, Cp-Fe-Cp
 The metal center in such a compound is bonded to carbon of an organic molecule
265
Zeise's salt
η2-ethylene ligand
Potassium trichloro(ethene)platinate(II)
Pt Cl
Cl
Cl
K+
Zeise's salt was one of the first organometallic compounds reported in the 1827 by W. C. Zeise
Why Organometallic Chemistry ?
1. Useful for chemical synthesis, especially for catalytic processes
e.g. production of fine chemicals
2. Application in material sciences
e.g. organometallic polymers
Precursors to films for coating, Luminescent materials
Pt C
PBu3
PBu3
C C C
n
Pt C
PBu3
PBu3
C C C
n
266
3. Biological Science
Organometallic chemistry may help us to understand some enzyme-catalyzed reactions
Vitamin B12
267
Organometallic compounds:
Bond between Metal & Carbon
The 18-Electron rule:
Thermodynamically stable transition metal organometallic compounds are formed
when the sum of the metal d electrons and the electrons supplied by the
surrounding ligands equals to 18
268
Fe: [Ar]3d6 4s2
269
H2C=CH2 Ethylene 2
η3-C3H5 ≡ p-allyl 3
Cyclopropenyl 3
Butadiene 4
1,3-cyclooctadiene(COD) 4
Cyclobutadiene 4
η5-C5H5 ≡ Cyclopentadienyl 5
η6-C6H6 ≡ Benzene 6
L-2
Ligand Name e- count
CO Carbonyl 2
Electron counting for common ligands: Neutral ligand method
270
Hapticity is the coordination of a ligand to a metal center via an uninterrupted
and contiguous series of atoms
271
Hapticity (η):
The hapticity of a ligand is described with the Greek letter η ('eta').
η5 describes a ligand that coordinates through 5 neighboring atoms
Common organic ligands and their heptacity
272
Variable Hapticity
273
W: [Xe] 4f14 5d4 6s2
h5-Cp : 5
Total : 18
2CO: 4
W: 6
h3-Cp : 3
A ligand that connects two or more atoms, usually metal ions is conseder
as bridging ligand and described with the Greek letter (‘').
Fe3(CO)12
Terminal
Bridging
274
Bridging ligands:
Carbonyl group can also bridge between two metals
Where they can be seen as one electron each to the two metals
Each metal atom and ligand is treated as neutral
Key point: All ligands are treated as neutral and are categorized according to how many
electrons they are considered to donate.
275
18 electron counting: neutral-ligand method
If the complex is charged, simply add or subtract the appropriate number of
electrons to the total.
Count all valence electrons of the metal atom and all the electrons donated by
the ligands
Fe: 3d6 5s2
-H, -Cl, -Br, -I, -OH, -OR, -CN, -CH3, -CR3 1
CO, PR3, NH3, H2O 2
=O, =S, 2
=CRR’ (carbene), H2C=CH2 2
≡CR (carbyne) 3
η3-C3H5 (p-allyl) 3
Ethylenediamine(en) 4
Bipyridine(bipy) 4
Butadiene, cyclobutadiene, 1,3-
cyclooctadiene(COD)
4
η5-C5H5 (Cyclopentadienyl) 5
η6-C6H6 (Benzene) 6
η7-C7H7 (cycloheptatrienyl) 7
18 electron counting for common ligands: neutral ligand method
276
Mo : 6
277
3CO: 6
1(C6H6): 6
Total : 18
Mo: [Kr]4d5 5s1
Ni : 10
4CO: 8
Total : 18
Fe : 8
5CO: 10
Total : 18
Cr : 6
6CO: 12
Total : 18
Ni: [Ar]3d8 5s2
Cr: [Ar]3d5 4s1
Fe: [Ar]3d6 4s2
Ferrocene: Iron is sandwich between two η5cyclopentadienyl ligand
278
Mn : 7
5CO: 10
1M-M: 1
Fe: [Ar]3d6 4s2
Fe : 8
2x h5Cp: 10
Total : 18
Total : 18
2x Mn : 14
2x5 CO: 20
2x M-M: 2
Total : 36
2
e count for each metal =
36
= 18
Mn: 3d5 4s2
18-electrons rule: Stability of metal complex
279
Cr: [Ar]3d5 4s1
Cr(CO)6
A Cr atom has 6 electrons outside its Noble gas core. Each CO is considered to act as a
donar of 2 electrons. The total electrons count is therefore:
Similarly, Cr(CO)6⁺ having 17 electrons and Cr(CO)6⁻ having 19-electrons are
far less stable than the 18-electron Cr(CO)6.
Cr(CO)6 is therefore considered an 18 electron complex
thermally stable and can be sublimed without decomposition
On the other hand, Cr(CO)5, a 16-electron species and Cr(CO)7 a 20-electron
species, are much less stable and are known only as transient species.
Cr : 6
6CO: 12
Total : 18
280
Scope of 18 electron rule for d-block organometallic compounds
Exceptions to the 18 electron rule
281
: Rh(9) + Cl(1) + [3 x PPh3(2)= 6] = 16
: Zr (4) + [2 x Cl(1) =2] + [2 x C5H5(5)=10] =16
: Ta(5) + [2+ x Cl(1) =2] + [3 x M(1)=3] =10
: W(6) + [6 x Me(1)=6] =12
: Pt(10) + [3 x PPh3(2)=6] =16
: Ir(9) + Cl(1) + CO(2) + [2 x PPh3(2)=4] =16
Rh(Cl)(PPh3)3
Rh: [Kr]4d8 5s1
IrCl(CO)(PPh3)2
Ir: 4f14 5d7 6s2
ZrCl2(C5H5)2
Zr: [Kr]4d2 5s2
TaCl2Me3
Ta: 4f145d3 6s2
WMe6
W: [Xe] 4f14 5d4 6s2
Pt(PPh3)3
Pt: [Xe] 4f14 5d9 6s1
Electron counting for ionic complex
282
h3-allyl : 3
Charge: -1
Total : 16
CO: 2
2x PPh3: 4
Ru: 8
Ru: [Kr]4d7 5s1
Exception to 18 electron rule
L-2
283
 Square planar organometallic complexes of the late transition metals (16e)
 Some organometallic complexes of early transition metals (e.g.
Cp2TiCl2, WMe6, Me2NbCl3, CpW(=O)Cl3
 Sterically demanding bulky ligands force complexes to have less than 18 e
Structure of metal carbonyl
284
Ni : 10
4CO: 8
Total : 18
Fe : 8
5CO: 10
Total : 18
Cr : 6
6CO: 12
Total : 18
Ni: [Ar]3d8 4s2
Cr: [Ar]3d5 4s1
Fe: [Ar]3d6 4s2
Q. Ni(CO)4, Fe(CO)5 and Cr(CO)6
exist as monomeric form.
However Mn(CO)5, Co(CO)4 exist
as dimer, why?
Mn(CO)5, Co(CO)4 dimerize to form stable 18 electrons complex
L-3
285
Mn : 7
5CO: 10
Total : 17
Mn : 7
5CO: 10
Total : 18
1M-M : 1
Co : 9
4CO: 8
Total : 17
Co : 9
3CO: 6
Total : 18
1M-M : 1
22-CO: 2
Mn: [Ar]3d5 4s2
Co: [Ar]3d7 4s2
Monomer
Dimer
18-electrons rule: Stability of metal complex
286
Cr: [Ar]3d5 4s1
Cr(CO)6
A Cr atom has 6 electrons outside its Noble gas core. Each CO is considered to act as a
donar of 2 electrons. The total electrons count is therefore:
Similarly, Cr(CO)6⁺ having 17 electrons and Cr(CO)6⁻ having 19-electrons are
far less stable than the 18-electron Cr(CO)6.
Cr(CO)6 is therefore considered an 18 electron complex
thermally stable and can be sublimed without decomposition
On the other hand, Cr(CO)5, a 16-electron species and Cr(CO)7 a 20-electron
species, are much less stable and are known only as transient species.
Cr : 6
6CO: 12
Total : 18
287
Calculation for number of metal-metal bond
Mn2(CO)10
Mn : 7
5CO: 10
Total : 17+X
M-M : X
= 18
X = 1
[Mn(CO)5]2 Co2(CO)8
Co : 9
4CO: 8
Total : 17+X
M-M : X
= 18
X = 1
[Co(CO)4]2
Co: [Ar]3d7 5s2
Mn: [Ar]3d5 4s2
288
Calculation for number of metal-metal bond
Os3(CO)12
Os : 8
4CO: 8
Total : 16+X
M-M : X
= 18
X = 2
[Os(CO)4]3 Ir4(CO)12
Ir : 9
3CO: 6
Total : 15+X
M-M : X
= 18
X = 3
[Ir(CO)3]4
Os = [Xe]4f145d6 6s2 Ir= [Xe] 4f14 5d7 6s2
Add up all electrons from Metal d orbitals and ligands to find total e- count.
The donor-pair method requires a calculation of the oxidation number
Key point: Ligands are considered to donate electrons in pairs (eg.Lewis base),
resulting in the need to treat some ligands as neutral and others as charged.
289
18 electron counting: donor pair method
Account the charge on each ligand and determine the formal oxidation state
of the metal.
Common organometallic ligands are assigned an electron count and charge.
The charge on ligands helps determine d-electron count of metal.
The total electron count is the sum of the number of electrons on the metal atom
and the number of electrons provided by the ligands
290
The oxidation number of the metal atom is the total charge of the complex
minus the charges of any ligands
The number of d electrons the metal provides is its group number minus its
oxidation number
L-2
Name of the Ligand Neutral ligand
-H, -Cl, -Br, -I, -OH, -OR, -CN, -CH3, -CR3 1
CO, PR3, NH3, H2O, H2C=CH2 2
=O, =S, 2
≡CR (carbyne) 3
η3-C3H5 (p-allyl) 3
Ethylenediamine(en) 4
Bipyridine(bipy) 4
Butadiene, cyclobutadiene, 1,3-
cyclooctadiene(COD)
4
η5-C5H5 (Cyclopentadienyl)¯ 5
η6-C6H6 (Benzene) 6
η7-C7H7 (cycloheptatrienyl)⁺ 7
Electron counting for common ligands
291
Donor pair
2
2
4
3
4
4
4
4
6
6
6
Neutral –ligand method Donor Pair method
292
h5-Cp : 5
Total : 18
Cl : 1
2x CO : 4
Fe : 8
h5-Cp : 6
Total : 18
Cl : 2
2x CO : 4
Fe(+2) : 6
(h5-C5H5)Fe(CO)2Cl Fe: [Ar]3d6 4s2
Neutral –ligand method Donor Pair method
293
2x h5-Cp : 10
Total : 18
Fe : 8
2x h5-Cp : 12
Total : 18
Fe(+2) : 6
(h5-C5H5)2Fe Fe: [Ar]3d6 4s2
Neutral ligand method Donor pair method
ClMn(CO)5
Co(η4-C4H6)(η3-C3H5)
294
Total : 18
Cl : 1
5x CO : 10
Mn : 7
Total : 18
Cl : 2
5x CO : 10
Mn(+1) : 6
Total : 16
Co : 9
h4-C4H6 : 4
h3-C3H5 : 3
Total : 16
Co(+1) : 8
h4-C4H6 : 4
h3-C3H5 : 4
Mn: [Ar]3d5 4s2
Co: [Ar]3d7 4s2
Neutral ligand method Donor pair method
Ta(Me)5
295
Total : 10
5x Me : 5
Ta : 5
Total : 10
5x Me : 10
Ta(+5) : 0
Ta: [Xe]4f14 5d3 6s2
Neutral ligand method Donor pair method
296
Total : 18
Re : 7
5x CO : 10
PF3 : 2
Charge : -1
Total : 18
Re(+1) : 6
5x CO : 10
PF3 : 2
Total : 16
2x PPh3 : 4
CO : 2
Ru : 8
h3-allyl: 3
Charge : -1
Ru: [Kr]4d7 5s1
Total : 16
2x PPh3 : 4
CO : 2
Ru (+2) : 6
h3-allyl: 4
Re(CO)5(PF3)+
Re: [Xe]4f14 5d5 6s2
Sample of iron pentacarbonyl
Fe(CO)5:an air-stable liquid
Chemistry of Metal Carbonyls
297
Metal carbonyls are coordination complexes of transition metals with
carbon monoxide ligands.
Its primary mode of attachment to metal atom is through the C atom
Metal carbonyls are useful in organic synthesis and as catalysts or catalyst
precursors in homogeneous catalysis, such as hydroformylation reaction.
In Mond process, nickel carbonyl is used to produce pure nickel.
Metal carbonyls are toxic by skin contact, inhalation or ingestion because
of their ability to carbonylate hemoglobin to carboxyhemoglobin, which
prevents the binding of O2
298
Mn2(CO)10
Os3(CO)12 Ir4(CO)8
Ni(CO)4 Fe(CO)5 Cr(CO)6
299
Most common bridging mode, the CO ligand bridges a pair of metals. This
bonding mode is observed in the commonly available metal carbonyls:
Co2(CO)8, Fe2(CO)9, Fe3(CO)12, and Co4(CO)12.
In certain higher nuclearity clusters, CO bridges between three or even four
metals. These ligands are denoted μ3-CO and μ4-CO.
L-4
300
301
Cr : 6
6CO: 12
Total : 18
Cr : 6
6CO: 12
Total : 17
Charge : -1
Cr : 6
6CO: 12
Total : 19
Charge : 1
Electron density on the metal centre
influence on CO stretching frequency
Cr: [Ar]3d5 4s1
302
303
As electrons from the metal fill the π-antibonding orbital of CO, they weaken the
carbon-oxygen bond compared with free carbon monoxide, while the metal-carbon
bond is strengthened
304
A sigma bond arises from overlap of the nonbonding electron pair on carbon with a
blend of metal d orbital (s bonding)
A pair of π bonds arises from overlap of filled d-orbitals on the metal with a pair of
π-antibonding orbitals of carbon atom in CO (p anti bonding or back bonding)
For compounds with doubly bridging CO ligands, denoted μ2-CO νCO is
usually shifted by 100–200 cm−1 to lower energy compared to the
signatures of terminal CO, i.e. in the region 1800 cm−1.
Bands for face capping (μ3) CO ligands appear at even lower energies.
305
Infrared (IR) spectroscopy is very useful technique for identification of
the presence of carbonyl ligands.
IR can also help to determine the bridging/terminal carbonyl group
2100 2000 1900 1800 1700 1600 1500
Free CO Terminal CO
Bridging CO(2)
Bridging CO(3)
306
Compound Wave number (cm-1)
CO(g) 2143
[Mn(CO)6]+ 2090
Cr(CO)6 2000
[V(CO)6]- 1860
[Ti(CO)6]2- 1750
Influence of coordination and charge on CO stretching frequencies
307
308
Q. Arrange the given carbonyl complexes in the increasing order of CO stretching
frequencies and justify your answer
Cr(CO)6
[V(CO)6]-
[Ti(CO)6]2-
1.
2.
Cr(CO)6
[Cr(CO)6]¯
[Cr(CO)6]+
3.
309
Q. Following the 18e- rule as a guide; determine charge ‘m’ in the given complex
[(𝜂6-C6H6)Mn(CO)2(CH3)]m
Total : 18-m
CH3 : 1
2CO : 4
Mn : 7
h6-C6H6: 6
Charge : -m
Mn: [Ar]3d5 4s2
= 18
m = 0
310
After Mid-Sem
Inorganic Chemistry
Shriver and Atkins 311
CY1001D: Chemistry: Module 3
Organometallic chemistry and Catalysis
18-electron rule
Nobel -Prize related to Organometallic Chemistry:
Victor Grignard (1912) Grignard reagent
K. Ziegler, G. Natta (1963) Zieglar-Natta catalyst
E. O. Fisher, G. Wilkinson (1973) Sandwich compounds
K. B. Sharpless, R. Noyori (2001) Asymmetric oxidation and hydrogenation reaction
Yves Chauvin, Robert H. Grubbs,
Richard R. Schrock (2005)
Alkene metathesis reaction
Akira Suzuki, Ei-ichi Negishi,
Richard F. Heck (2010)
C-C cross coupling reaction
 The chemical composition for the catalyst remain same even after the reaction
Catalyst :
Contribute to one-sixth of the value of all manufactured goods in industrialized countries
 A catalyst is a substance that increases the rate of a reaction
Catalysts are widely used in industry, and in the laboratory
Properties of Catalyst
C2H2 + 2 H2 C2H6
[Pt Cat]
C2H2 + H2 C2H4
[Lindlar Cat]
Small quantity of catalyst is enough to catalyze a large quantity of reaction
Catalyst is highly selective
Though reactants are same in a reaction, but product varies depending on
the catalyst
Catalyst can not start the reaction by itself. Also doesn’t alter the position
of equilibrium, but helps in achieving the equilibrium faster
Catalytic activity increases as surface area of catalyst increases
Catalytic activity is maximum at optimum temperature
316
stops or decreases by blocking the active sites of the catalysts
Promoter
increases the catalytic active by increase in no. of active sites
(catalyst of a catalyst):
Catalytic poison:
Catalysis involves understanding of the thermodynamics, kinetics, electronic interaction,
crystal structure, reactor design and process development for a catalytic process.
Catalysis increases the rate of reactions
 Catalysts can be atoms, molecules, enzymes and solid surfaces
Types of Catalytic reaction
Typically, all the reactants and catalysts either are in liquid or gas phase
In heterogeneous catalytic reaction, the catalyst and the reactants are in different phases
Homogeneous catalytic reaction, the catalyst is in the same phase as the reactants
Reactions of liquid or gases in the presence of solid catalysts are the typical examples
e.g. Hydrogenation of alkene/alkyne over Raney Ni catalyst
I. Homogeneous
II. Heterogeneous
Heterogeneous solid catalysis is strongly associated with
adsorption phenomenon
 In solid catalysis, at least one of the reactant needs to be adsorbed on the surface of
the catalyst.
 Adsorption of a component ‘A’ on surface of material ‘B’ : component ‘A’ is called
adsorbate and surface ‘B’ is called adsorbent.
 The surfaces include both external surface and internal surface due to the pores.
For highly porous material, the internal surface area due to the pores is much higher
than the external surface area.
Types of adsorption
Depending on the nature of interaction, the adsorption can be of two types
Chemisorptions
Physisorptions
at the beginning of adsorption physisorbed condition chemisorbed condition
Chemisorption of hydrogen on nickel surface
Physisorption of hydrogen on nickel surface
The van der Waals forces mainly consist of dipole-dipole interactions (exothermic
process). (10 to 40 kJ /mol)
at the beginning of adsorption physisorbed condition
Physisorptions
The phenomenon of adsorbate molecules attaching themselves to adsorbent surface under
the influence of van der Waals forces is called physisorption or physical adsorption.
Adsorption of nitrogen on carbon or alumina
After physisorption, the adsorbed molecules can undergo electronic rearrangement with the
surface atoms. This phenomenon is called chemisorption
chemisorbed condition
physisorbed condition
Chemisorption process is selective and an adsorbed molecule will chemisorbed only on
selected adsorbent.
Chemisorptions
Chemisorption is associated with formation and breaking of chemical bonds (80-400
kJ/mol) and often required higher temperature
Chemisorption of hydrogen on Raney Ni, Pd, Pt etc
Oxidative-Addition Reactions
Reactions involve the metal atom increase coordination number by two units and
also increase in oxidation state by 2.
M + X-Y ↔ X-M-Y ↔ X-M + Y
Oxidation state: 0 2+
Pt(PPh3)2 + ArX Pt(PPh3)2(Ar)(X)
Suitable orbitals be available for bond formation.
e.g. [Fe(CO)4]2- has 4 L, but addition of X-Y requires antibonding orbitals
which isn’t favorable
Criteria to exhibit oxidative addition reaction:
Ease of oxidation
Vacant coordination site
Concerted reaction-
3 centered transition state (i.e. bond break and formation occur simultaneously)
Mechanism of oxidative addition reaction
Ph3P
Cl PPh3
CO
Ir + H2
OC
Cl H
H
Ir
PPh3
PPh3
OC
Cl H
H
Ir
PPh3
PPh3
OC
Cl H
H
Ir
PPh3
PPh3
9+4+2+1 = 16 9+4+2+1 +2= 18
Ir= [Xe] 4f14 5d7 6s2
Intermediate state
For electrophilic polar molecule
Mechanism for oxidative addition reaction
Electrophile: charge or neutral species have vacant orbitals attracted to an e- rich center
LnM: + CH3I LnM: CH3 I LnM
I
CH3
Radical or one electron transfer mechanism
LnM + CH3I LnM
I
CH3
LnIM + CH3
The oxidative addition of hydrogen is a concerted reaction: dihydrogen
coordinates to form a σ-bonded H2 ligand, and then back bonding from the
metal results in cleavage of the H-H bond and the formation of cis dihydrides
Oxidative addition reactions
Ph3P
Cl PPh3
PPh3
Rh + H2
Ph3P
Cl PPh3
PPh3
Rh
H H
Ph3P
Cl PPh3
PPh3
Rh
H H
Ph3P
Cl H
PPh3
Rh
H
PPh3
Four coordinate
16e Rh(I)
Five coordinate
18e Rh(I)
Six coordinate
18 e Rh(III)
Intermediate state
Substitution Reaction
Replacement of one ligand by another in organometallic complexes.
Sol = any solvated
molecule e.g. THF
Cr(CO)6 + sol Cr(CO)5(sol) + CO
Cr(CO)5(sol) + L Cr(CO)5L + sol
[Ir(CO)Cl(PPh3)2] + PEt3 [Ir(CO)Cl(PPh3)(PEt3)] + PPh3
Cr(CO)6 + PMe3 Cr(CO)5PMe3 + CO
The opposite of oxidative addition, where two ligands couple and eliminate
from a metal centre, is known as reductive elimination.
o Oxidative addition and reductive elimination reactions are in principle reversible
Reductive-Elimination reactions
e.g. 1
e.g. 2
However, one direction is normally thermodynamically favored over the other
Insertion reactions
Insertion reactions do not involve changes in metal oxidation state.
Reverse of above insertion reaction called decarbonylation reaction
(CO)5Mn-Me + CO (CO)5Mn-C-Me
O
Insertion of Carbon monoxide (CO) into metal-carbon bond Mn-CH3
bond called carbonylation
Wilkinson’s catalyst
 Wilkinson’s catalyst is an effective homogeneous catalyst for double
bond hydrogenation
 Cholorotris(triphenylphosphine)rhodium(I) [Rh(Cl)(PPh3)3] is know as
Wilkinsons catalyst
Mechanism: Hydrogenation by Wilkinson catalyst
335
Historical work of Ziegler and Natta
Nobel prize in chemistry in 1963
Polymerization of ethylene
2
Polymerization of propylene
2
Ziegler-Natta Catalyst
 Ziegler –Natta(ZN) catalyst is used in polymerization of olefins with
high linearity and stereoselectivity
The Ziegler-Natta (ZN) catalyst, named after two chemists: Karl Ziegler
and Giulio Natta, and considered as powerful tool for polymerization of
α-olefins
R
 Organoaluminum compound (co-catalyst)
Ziegler-Natta Catalyst
A typical Ziegler-Natta catalyst system usually contains two parts:
Transition metal (Group IV metals, like Ti, Zr, Hf) compound
e.g. TiCl4 + Et3Al or TiCl4 + AlEt2Cl
TiCl4
The titanium chloride compound has a crystal structure in which each Ti
atom is coordinated to 6 chlorine atoms
On the crystal surface, a Ti atom is surrounded by 5 chlorine atoms with
one empty orbital to be filled.
TiCl4+AlEt3 catalyst
 Et3Al donates an ethyl group to Ti atom and the Al atom is coordinated
to one of the chlorine atoms
 One chlorine atom from titanium is kicked out during this process
Steps involves in polymerization reactions
Mechanism of Ziegler-Natta catalytic polymerization
1. Initiation, 2. Propagation 3. Termination
Initiation step
The polymerization reaction is initiated by forming alkene-metal complex
Interaction between metal-d orbital with p-bonding alkene
When a vinyl monomer like propylene comes to the active metal center, it
can be coordinated to Ti atom by overlapping their orbitals
When other propylene molecules come in, this process starts over and
over, giving linear polypropylene
Ti
Et
Cl
Cl
Cl
Cl
Ti
Cl
Cl
Cl
Cl
H2C
CH
H3C CH
Et
CH3
H2
C
Propagation
Ti
Cl
Cl
Cl
Cl
CH2
CH
H3C CH
Et
CH3
H2
C
Propagation step
343
Termination step
Termination is the final step of a chain-growth polymerization, forming
desired polymers products.
Stereo-selectivity
The relative stereochemistry of adjacent chiral centers within a macromolecule is defined
as tacticity.
Stereochemistry of polymers made from ZN-catalyst can be well regulated by rational
design of ligands. By using different ligand system, either syndiotactic or isotactic
polymers can be obtained.
Isotactic, Syndiotactic and Atactic Polymer
Isotactic polymers: substituents are located on the same side of the polymer backbone
Syodiotactic polymers: substituents located on alternative positions
Atactic polymers: substituents located randomly along the chain
In the oxo process, an olefin (e.g. propylene), dihydrogen, and carbon
monoxide react together in presence of dicobalt-octacarbonyl to give
butyraldehydes.
Catalysis : Carbonylation reactions
Oxo process
Co2(CO)8
CH3CH=CH2 + H2 + CO CH3CH2CH2CHO
Co2(CO)8
Co2(CO)8
H2
A highly successful industrial method for the manufacture of acetic acid
by catalytic carbonylation of methanol
CH3-OH + CO CH3-COOH
The reaction is catalyzed by a Rh catalyst developed at Monsanto
Monsanto process
Catalytic carbonylation of methanol
Wacker process is used to produce acetaldehyde from ethylene and oxygen
using a palladium catalyst and Cu2+ as promoter
Wacker Oxidation of alkenes
351
Suzuki cross coupling reactions
NaOH
R1-B(OH)2 + OH-
B(OH)3 + X-
352
Top 20 synthetic chemicals in the USA in 2008
What is turnover frequency (TOF)?
The turnover frequency is the number of molecular reactions or
catalytic cycles carried out by single catalyst center per unit time
Catalytic efficiency and lifetime:
Turnover number (TON):
The turnover number is the maximum number of cycles for which
a catalyst survives
High turnover number indicate catalyst is more stable for longer run and
efficient. For industrial applications the TON is in the range 106-107
High turnover frequency indicates catalyst is very reactive
Q. The reaction between bromobenzene and phenylboronic acid required 10
mg palladium catalyst and 2 hrs time. If 0.25 moles of biphenyl was generate
during the reaction and atomic mass of palladium is 106.42, then calculate the
TON and TOF for the catalyst
TON =
moles of Product formed
moles of catalyst used
=
0.25
0.000093
= 2688.17
TOF =
TON
Time(min)
=
2688.17
120 min
= 22.4 min-1
Amount of product formed = 0.25 mole
Catalyst required =
10
1000
g =
10
1000 x 106.42
mole = 0.000093 mole
The chemical, thermal, and mechanical stability of a catalyst determines
its lifetime in industrial reactors. Catalyst stability is influenced by
numerous factors, including decomposition, coking, and poisoning.
Catalyst deactivation can be followed by measuring activity or
selectivity as a function of time. Catalysts that lose activity during a
process can often be regenerated before they ultimately have to be
replaced. The total catalyst lifetime is of crucial importance for the
economics of a process.
What is the stability of a catalyst?
Selectivity of the catalyst:
A selective catalyst yields a high proportion of the desired product with
minimum amounts of side products.
when metallic silver is used to catalyst for the oxidation of ethylene with
oxygen to produce oxirane (ethylene oxide), the reaction is accompanied
with the formation of undesirable CO2 and H2O. This lack of selectivity
increases the consumption of ethene, so chemists are constantly trying to
devise a more selective catalyst for oxirane synthesis.
O
+ O2
[Ag cat]
Types of Catalytic reaction
Typically, all the reactants and catalysts either are in liquid or gas phase
In heterogeneous catalytic reaction, the catalyst and the reactants are in different phases
Homogeneous catalytic reaction, the catalyst is in the same phase as the reactants
Reactions of liquid or gases in the presence of solid catalysts are the typical examples
e.g. Hydrogenation of alkene/alkyne over Raney Ni catalyst
I. Homogeneous
II. Heterogeneous
Heterogeneous solid catalysis is strongly associated with
adsorption phenomenon
 The surfaces include both external surface and internal surface due to the pores
At least one of the reactant needs to be adsorbed on the surface of the catalyst
 Adsorption of a component ‘A’ on surface of material ‘B’: component ‘A’ is
called adsorbate and surface ‘B’ is called adsorbent
For porous materials: the internal surface area due to the pores is much higher than the
external surface area.
Heterogeneous catalysts are used very extensively in industry and have a
much greater economic impact than homogeneous catalysts. One attractive
feature is that many of these solid catalysts are robust at high
temperatures and therefore tolerate a wide range of operating conditions.
Reactions are faster at high temperatures, so at high temperatures solid
catalysts generally produce higher outputs for a given amount of catalyst and
reaction time than homogeneous catalysts operating at lower temperatures in
solutions. Easy separation of the product from the catalyst, resulting in
efficient and more environmentally friendly processes.
The catalytic converter consists of a honeycomb
stainless steel or ceramic structure on to which
first silica and alumina are deposited followed by a
mixture of platinum, rhodium, and palladium as
nanoparticles, with diameters typically between 10
and 50 nm. A three-way catalytic converter, used
with petrol (gasoline) engines undertakes the
following three reactions.
A view into the channels of zeolite theta-1 with an absorbed benzene molecule in the large central channel
The zeolites absorbs molecules small enough to
enter the channels and excludes larger molecules.
This selectivity, in combination with catalytic sites
inside the cages, provides a degree of control over
catalytic reactions.
Zeolites are examples of uniform catalysts. They are prepared as very fine
crystals that contain large regular channels and cages defined by the crystal
structure.
Zeolites
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CY1001D full ppt.pdf

  • 1. Spectroscopy and its applications 1 Principles, Electronic Spectroscopy of Conjugated Molecules, Woodward-Fieser Rule Infrared Spectroscopy, Group Frequencies Dr. Raju Dey Assistant Professor Department of Chemistry, NITC Room No: 210E Phone no: +91-7558035591 Email: rajudey@nitc.ac.in
  • 2.  Fundamental of Molecular Spectroscopy By C B Banwell & E M McCash  Organic Spectroscopy By William Kemp  Spectroscopy Of Organic Compounds By P S Kalsi  Elementary Organic Spectroscopy By Y R Sharma Reference Books 2
  • 3. 3
  • 6. 6 𝐸 = ℎ𝜗 M L K 𝑷𝒉𝒐𝒕𝒐𝒏 where 𝜗 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 & 𝜆 = 𝑤𝑎𝑣𝑒𝑙𝑒𝑛𝑔𝑡ℎ C λ h =
  • 7. 7 Energy, 𝐸 = ℎ𝜗 = ℎ 𝐶 𝜆 where 𝜗 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 & 𝜆 = 𝑤𝑎𝑣𝑒𝑙𝑒𝑛𝑔𝑡ℎ E = E1-E2 = 𝐶 𝜆
  • 9. 9
  • 10. 10  Various forms of EM radiations are Ultra Violet (UV) Visible Infra-red (IR) Radio frequency etc.  The study of Spectroscopy deals with absorption as well as emission of EM of different wavelength
  • 11. 11  When EM radiation is passed through the substance then radiations of certain wavelength are absorbed by the substance depending on the structure of the compound
  • 12. 12 Incident radiation ( ) transmitted radiation ( ) Light source
  • 17. Far UV Range: Below 200 nm Far UV spectra is also known as Vacuum UV Spectroscopy since it is performed to in vacuum to avoid the absorption of gases e.g. O2, N2 17 Visible Range: 400-800 nm UV Range: 200-400 nm
  • 18. 18 When UV-Visible radiation (monochromatic*) is passed through homogenous absorbing medium: A portion of radiation is absorbed by the compound and rest is transmitted. *Radiations of very narrow range of wavelength or frequency
  • 19. 19 Function of monochromator is to separate desired set of wavelength from the band of spectrum
  • 20. Plot of Electronic Spectra: The UV-Vis spectra is observed as a plot of intensity of absorbed(or absorbance) radiation against the wavelength of the absorbed radiation. 20 absorbance wavelength (nm) max = 217: maximum absorption at this wavelength
  • 21. Lambert’s Law : Solid Sample Beer’s Law : Solution 21 The Absorption Law
  • 22. 22 y x y > x Sample of same concentration but different path length
  • 23. 23 CA CB CA > CB Sample of same path length but different concentration
  • 24. 24 The Beer-Lambert’s law l - A ∝ cl A = ϵcl The amount of light absorbed is directly proportional to the concentration (c) of the solution of the sample A ∝ c  The absorbance is directly proportional to the length of the light path (l), which is equal to the width of the cuvette. A ∝ l
  • 25. Mathematically, the law is expressed as, − 𝑑𝐼 𝑑𝑥 ∝ 𝐼𝑐 ⇒ − 𝑑𝐼 𝑑𝑥 = 𝑘𝐼𝑐 ⇒ න 𝐼𝑜 𝐼𝑡 𝑑𝐼 𝐼 = − න 𝑥=0 𝑥=𝑙 𝑘𝑐 𝑑𝑥 ⇒ 𝑙𝑛 𝐼𝑡 𝐼𝑜 = −𝑘𝑐𝑙 𝑜𝑟 𝑙𝑜𝑔 𝐼𝑡 𝐼𝑜 = − 𝑘 2.303 𝑐𝑙 ⇒ 𝑰𝒕 = 𝑰𝒐𝟏𝟎−𝜺𝒄𝒍 Where, c = concentration of the solution. k=Proportionality constant l = path length 𝑺𝒊𝒏𝒄𝒆, 𝒍𝒏 𝑰𝒕 𝑰𝒐 = 𝟐. 𝟑𝟎𝟑𝒍𝒐𝒈 𝑰𝒕 𝑰𝒐 25 Derivation
  • 26. ⇒ 𝑰𝒕 = 𝑰𝒐𝟏𝟎−𝜺𝒄𝒍 Here, 𝜀 = 𝑘 2.303 where 𝜀 is known as molar extinction coefficient or molar absorptivity of the absorbing medium. 𝐼𝑡 𝐼𝑜 = 10−𝐴 or 𝑙𝑜𝑔 𝐼𝑜 𝐼𝑡 = 𝐴 𝑨 = 𝒍𝒐𝒈 𝟏 𝑻 Here, A is known as Absorbance And T is called Transmittance which is equal to 𝐼𝑡 𝐼𝑜 . 26
  • 27. 1. Problem: The molar absorption coefficient of tyrosine in water is 1280 M-1 cm-1 at 280 nm. Calculate the concentration of a tyrosine solution in water if the absorbance of the solution is 0.34 in a 1 cm path length cell. (Hint: 𝜆 = 280 𝑛𝑚, 𝜀 = 1280 𝑀−1𝑐𝑚−1, 𝑙 = 1 𝑐𝑚, 𝐴 = 0.34, 𝑐 =?) 2. Problem: Calculate absorbance of a radiation in a photo-absorption technique if 60% of it has been absorbed by the sample. (Hint: T=0.4 since absorption is 60%, A=?) 𝐴 = ℇ𝑐𝑙 = log 𝐼𝑜 𝐼𝑡 = log 1 𝑇 27 t = 2 − 𝑙𝑜𝑔𝑇%
  • 28. 28 absorbance wavelength (nm) Representative UV spectra for compound ‘X’ (X)
  • 29. Absorption peaks broadens from atom to polyatomic molecules 29 vo v1 v2 v3 vo v1 v2 v3 rn rn rn rn rn rn ElectronicTransition E2 E1
  • 30.  Excitation of electrons are also accompanied by the constant vibratory and rotatory motion of the molecules. 30  Electronic levels are comprised of band of vibrational and rotational levels.
  • 31. 31 Eele: Electronic Energy Evib: Vibrational Energy Erot: Rotational Energy Eele (105-6 cm-1) >>> Evib (103 cm-1) > Erot (1-10 cm-1) Born-Oppenheimer Approximation, vibrational and rotational energies are quantised and treated separately Total energy of a molecule Etot = Eele + Evib + Erot +..
  • 32. 32 Excited state Ground state Transition can be represented as vertical line in the energy diagram Frank-Condon Principle assumed ‘an electronic transition takes place so rapidly that the nuclei of the vibrating molecule can be assumed to fixed during the transition’
  • 33. 33 As the optical transition becomes less vertical, the absorption spectra shift due to the change in the Frank-Condon principle.
  • 34. 34 As the optical transition becomes less vertical, the absorption spectra shift due to the change in the Frank-Condon principle.
  • 35. Broadening of Spectral Lines 35  The electronic excitation is superimposed upon rotational and vibrational levels.  There will be a large number of possible transitions corresponding to electronic, vibrational and rotational levels.  Large number of wave length which are close to each other will be absorbed, resulting in the formation of band.
  • 36. Other Factors of Spectral Line Broadening Collision broadening – Molecular interactions are more severe in liquids than in gas (Gas phase spectra are sharper than those of the corresponding liquids). I case of solids, the spectral lines are sharper but show evidence of interactions by splitting of lines. 36 Doppler effect – Atoms or molecules in gases and liquids are in continuous motions with different velocities in different directions from the detector which causes Doppler effect (More in gases than in liquids).
  • 37. 37 Which depicts a transition to a dissociative state? Which depicts a transition in a molecule that has a larger bond length in the excited state? Which would show the largest intensity in the 0-0 transition? Which represents molecules that can dissociate after electronic excitation? Which represents the states of a molecule for which the v”=0 → v’=3 transition is strongest? Bond Length Energy
  • 38.  Energy of Transitions 38  Number of Transitions  Intensity of Transitions
  • 41. 41 Types of Electronic Transitions 𝑛 → 𝜋∗ Transition 𝜋 → 𝜋∗ Transition 𝑛 → 𝜎∗ Transition 𝜎 → 𝜎∗ Transition 𝑹𝒂𝒅𝒊𝒂𝒕𝒊𝒐𝒏 𝒆𝒏𝒆𝒓𝒈𝒚 Four types of Electronic transitions are possible
  • 42. 42 𝝈 → 𝝈∗ Transition o High energy transition (<<200nm) o Compounds with single bond show 𝝈 → 𝝈∗ Transition o Colourless, since not absorbed light in visible region. o Saturated hydrocarbons shows this type of transitions e.g. Cyclopropane, λmax 190 nm. Cyclohexane, λmax 153 nm (vacuum UV)
  • 43. 43 𝒏 → 𝝈∗ Transititon E.g. H2O 𝜆𝑚𝑎𝑥 167 nm MeOH 𝜆𝑚𝑎𝑥 174 nm MeCl 𝜆𝑚𝑎𝑥 169 nm NEt3 𝜆𝑚𝑎𝑥 227 nm o Appear in the near UV or visible region o Compounds containing non-bonding electrons or lone-pair electrons show this type of transition
  • 44. 44 In case of saturated alkyl halides, as the electronegativity increases 𝜆𝑚𝑎𝑥 values decrease. Since, nonbonding electrons are more difficult to excite in case of more electronegative atom. Q. Give an explanation for the difference in 𝜆𝑚𝑎𝑥 value Compounds 𝜆𝑚𝑎𝑥 MeCl 169 nm MeI 258 nm
  • 45. 45 𝝅 → 𝝅∗ Transition For compounds containing double, triple bonds or aromatic rings show this type of transition. This is usually a symmetry allowed and high intensity transition. e.g. Alkenes, Alkynes, Carbonyls, Cyanides, Azo compounds etc.
  • 46. 46 Q. Why extended conjugation lowers the ΔE, and increase the λmax. CH2=CH2 λmax 171 nm CH2=CH-CH=CH2 λmax 217 nm CH2=CH-CH=CH-CH=CH2 λmax 256 nm
  • 47. 47 Q. Why introduction of an alkyl group to the double bond shift the λmax value to longer wavelength. CH2=CH2 λmax 171 nm CH3-CH2-CH=CH-CH2CH3 λmax 184 nm Q. Out of the given set of compounds, find out the one which absorbs at the longest wavelength?
  • 48. e.g. saturated aldehydes and ketones : 𝝀𝒎𝒂𝒙 at 185-300 nm 48 𝒏 → 𝝅∗ transition The excitation of an electron on a nonbonding (lone pairs) orbital, such as unshared pair electrons on O, N, S to an antibonding, π* orbital. Usually in an double bond with hetero atoms, such as C=O, C=S, N=O etc show this transition. A symmetry forbidden and low intensity transition.
  • 49. 49 In carbonyl compounds, two types of transitions take place which are 𝑛 → 𝜎∗ Transition (Intense) 𝜋 → 𝜋∗ Transition (Intense) High energy transitions 𝑛 → 𝜋∗ Transition (Weak) Low Energy Transition
  • 50. 50 Q. Acetaldehyde is having absorption peak at 160 nm, 180 nm and 292 nm. What type of transition is responsible for each of these absorption? Q. Assign electronic transitions for the following compounds. Acetaldehyde, Benzene, Cyclohexane, Ethanol, Heptane, Aniline, Butadiene
  • 51. 51 Q. UV spectra for the compound ‘m’ has given below assign electronic transitions and justify your answer m
  • 52. Transition Probability i. Energy of the transition/incident light. ii. Orientation of the molecule/material. iii. Symmetry of the initial and final states. iv. Angular momentum (spin). 52 The probability of a particular transition taking place. intensity of transition increase (high 𝜀𝑚𝑎𝑥 value) As transition probability increases
  • 53. Allowed transitions In benzophenone, there are two transitions. 252 nm 𝜀𝑚𝑎𝑥 20000 (allowed) 325 nm 𝜀𝑚𝑎𝑥 180 (forbidden) 53 The transition with values of 𝜀𝑚𝑎𝑥 value more than 104 are allowed transitions. 𝑛 → 𝜋∗ Transition is forbidden. 𝜋 → 𝜋∗ Transition is allowed.
  • 54. e.g. C=O, C=C, NO2, –COOH, -N=N-, C≡C etc. 54 Chromophore : Any functional group which absorb in UV-Visible range are Chromophores Can induce color in the molecule Chromophore are groups containing either 𝝅 electrons or both 𝝅 & n electrons
  • 55. e.g. Benzene absorbs at 255 nm but Aniline absorbs at 280 nm. 55 Auxochromes: Shift the 𝝀𝒎𝒂𝒙 value to longer wavelength if attached to chromophores Changes both intensity and λmax e.g. OH, NH2, -SH, -Cl, OR, NHR2 etc. Auxochromes has ability to extend conjugation of chromophores by sharing its nonbonding electrons
  • 56. Absorption and intensity shift 56 absorbance wavelength (nm) Bathochromic (Red Shifted) Hypsochromic (Blue Shifted) Hyperchromic Hypochromic
  • 57. Bathochromic shift: 𝑛 → 𝜋∗ transition for carbonyl compounds experiences red shift when polarity of the solvent is decreased. 57 𝜆𝑚𝑎𝑥 value shifted to longer wavelength due to the presence of an Auxochromes or by the change of solvent.
  • 58. 58 50,000 100,000 200 300 380 wavelength (nm) n = 5 n = 4 n = 3 R(CH=CH)nR e
  • 59. 59 UV-spectra of acetone in hexane and in water absorbance wavelength (nm) 264 nm (water) 279 nm (hexane)
  • 60. 60 Q. In alkaline medium, p-nitrophenol shows red shift Because negatively charged oxygen delocalizes more effectively than the unshared pair of electron
  • 61. Hypsochromic Shift (Blue Shift ): 𝜆𝑚𝑎𝑥 value shifted to shorter wavelength Also known as. e.g. Aniline λmax 280 nm Acidic Aniline λmax 203 nm 61
  • 62. Hyperchromic and hypochromic shift 62 Double strand DNA absorbed less strongly than denatured DNA due to the stacking interactions between the bases. On denaturation, the bases are exposed thereby showing increased interaction. Hyperchromic (90 ºC) Hypochromic (40 ºC) absorbance wavelength (nm)
  • 63. Other Examples: Pyridine: λmax = 257 𝑛𝑚, 𝜀𝑚𝑎𝑥 : 2750 2-Methylpyridine: λmax = 260 𝑛𝑚, 𝜀𝑚𝑎𝑥 : 3560 Biphenyl: λmax = 250 𝑛𝑚 𝜀𝑚𝑎𝑥 : 19000 2-Methylbiphenyl: λmax = 237 𝑛𝑚, 𝜀𝑚𝑎𝑥 : 10250 63
  • 64. 64 Influence of solvent on the UV λmax and emax of the n p* and p p* excitation of 4-methylpent-3-en-2-one Solvent p p* n p* n-hexane 230(12,600) 327(98) ether 230(12,600) 326(96) ethanol 237(12,600) 315(78) water 245(10,000) 305(60)
  • 65. If the excited state is polar, but the ground state is neutral Solvent Effect 65 𝜋 → 𝜋∗ transition Polar solvent Polar excited state Neutral ground state Hence, absorption shifts to longer wavelength. Polar solvent will only interact with the excited state and stabilize it
  • 66. Hence, absorption shifts to shorter wavelength 66 𝒏 → 𝝈∗transition If excited state is neutral and ground states are polar Polar solvent will solvate the ground state The ground state lower its energy due to solvation polar solvent neutral excited state polar ground state
  • 67. As solvent polarity increases: 𝝅 → 𝝅∗ band shifts to Longer 𝝀𝒎𝒂𝒙 𝒏 → 𝝈∗ band shifts to Shorter𝝀𝒎𝒂𝒙 67 𝒏 → 𝝅∗ band shifts to Shorter 𝝀𝒎𝒂𝒙
  • 68. 68 Influence of solvent on the UV λmax and emax of the n p* and p p* excitation of 4-methylpent-3-en-2-one Solvent p p* n p* n-hexane 230(12,600) 327(98) ether 230(12,600) 326(96) ethanol 237(12,600) 315(78) water 245(10,000) 305(60)
  • 69. Substituent effect on 𝝀𝒎𝒂𝒙 value 69 Auxochromes exert their bathochromic shifts by extension of the length of the conjugated system B: NH2, OH, OR, X etc
  • 70. 70 Woodward-Feiser rule Calculation of 𝜆𝑚𝑎𝑥 Applicable for the low energy transition (𝜋 → 𝜋∗) from HOMO to LUMO
  • 71. 71
  • 72. Calculation of 𝜆𝑚𝑎𝑥 in conjugated diene and polyene Parent values Heteroannular Conjugated Diene(transoid) 214 nm Homoannular Conjugated Diene(cisoid) 253 nm 72 Increments Each Alkyl Residue or ring residue 5 nm Exocyclic double bond 5 nm Double bond extending conjugation 30 nm
  • 74. 74 Heteroannular diene : 214 Alkyl substituents : (4x5) : 20 Exocyclic double bond : 5 Absorption maximum : 239 nm
  • 75. 75 Homoannular diene : 253 Alkyl substituents : (4x5) : 20 Exocyclic double bond : (2x5) : 10 Absorption maximum : 283 nm
  • 76. 76 Total : 234 nm Transoid (base) : 214 nm 3 ring residues : + 15 nm 1 exocyclic C=C : + 5 nm Observed λmax 235 nm
  • 77. 77 Cisoid(base) 253 3 ring residues +15 1 exocyclic C=C +5 Total 273 Observed = 275 nm
  • 78. 78 Cisoid(base) 253 3 ring residues +15 1 exocyclic C=C +5 1 extra conjugation +30 Total : 303 nm Observed : 304 nm
  • 79. 79 Transoid(base) 214 2 ring residues +10 1 exocyclic C=C +5 Total 229 Observed = 230 nm
  • 80. 80 Transoid(base) 214 2 ring residues +10 1 exocyclic C=C +5 Total 229 Observed = 236 nm
  • 81. Calculation of 𝜆𝑚𝑎𝑥 Parent values Heteroannular Conjugated Diene 214 nm Homoannular Conjugated Diene 253 nm Increments Each Alkyl Residue or ring residue 5 nm Exocyclic double bond 5 nm Double bond extending conjugation 30 nm Auxochrome -OR 6 nm -SR 30 nm -Cl, -Br 5 nm -NR2 60 nm -OCOCH3 0 nm 81
  • 82. 82 Transoid(base) 214 3 ring residues +15 1 exocyclic C=C +5 -OR +6 Total : 240 nm Observed : 241 nm
  • 83. 83 Transoid (base) 214 5 ring residues +25 3 exocyclic C=C +15 1 extra conjugation +30 Total = 284 nm Observed = 283 nm Cisoid (base) 253 3 ring residues +15 1 alkyl substituent +5 1 exocyclic C=C +5 Total = 278 nm Observed = 275 nm
  • 84. 84 Cisoid (base) 253 5 ring residues +25 3 exocyclic C=C +15 2 extra conjugation -OAc +60 +0 Total = 353 nm Observed = 355 nm
  • 85. 85 Transoid (base) 214 3 alkyl group +15 Total = 229 nm Observed = 232 nm Transoid (base) 214 4 alkyl group +20 Total = 234 nm Observed = 235 nm
  • 86. 86 Cisoid (base) 253 5 ring residues +25 3 exocyclic C=C +15 1 extra conjugation +30 Total = 323 nm Observed = 325 nm Cisoid (base) 253 4 ring residues +20 2 exocyclic C=C +10 Total = 383 nm Observed = 382 nm
  • 87. Application of UV-Visible Spectroscopy 1. Detection of conjugation Addition of unsaturation shifts the absorption to longer wave length and pertains colour. 87 Phenolpthaline in aqueous methanol NaOH
  • 88. 2. Distinction in conjugated & non conjugated isomers 88 Longer wave length Shorter wave length
  • 89. 3. Detection of geometrical isomers 89 lmax= 234 nm emax = 12000-28000 lmax= 283 nm emax = 5000-15000 s-trans 214 nm s-cis 253 nm
  • 91. 91 Middle IR Near IR 2.5 Far IR 25 0.8 250 12500 4000 400 40 E = 1-10 kcal/mol Bond Vibrations (most useful I.R. region)
  • 95. IR Spectra: Vibrational motion in covalent bond Normal vibration Vibration after energy absorbtion Absorb frequency of radiation is similar to bond vibration(s) 95 Energy
  • 96. Types of bond vibration Symmetric stretching Asymmetric stretching In plane bending Out of plane bending 96 Stretching Bending
  • 97. H H C Symmetric Stretching H H C Asymmetric Stretching 97
  • 98. Scissoring Rocking Twisting Wagging In plane Out of plane Bending 98
  • 99. Electric field induced Stretching-out Stretching-in Induced electric field interacts with the EM radiation Cl H Fluctuating dipole 99
  • 100. Fluctuating dipole Frequency 𝝑 EM radiation Frequency 𝝑 The vibrating bond absorb IR radiation Frequency absorbed Each vibrational mode with change in dipole moment of the system leads to absorption of frequency in IR range 100 when its frequency is same as the frequency of the oscillating dipole
  • 101. Criteria for IR absorption Dipole moment of the bond must change during vibrational motion 101 e.g. H2, N2, O2 e.g. H2O, SO2, HCl
  • 102. Though CO2 is non polar molecule, why it is IR active? Change in Dipole Change in Dipole No Change in Dipole 102
  • 103. 103 Mode of Vibrations in Molecules Linear Molecules have 3N-5 number of fundamental frequency Non-linear Molecules have 3N-6 number of fundamental frequency Where N is the number of atoms present in the molecule
  • 104. 104 Three Fundamental Modes of Vibration for Water 𝜈1, Asymmetric Stretch ~3755 𝑐𝑚−1 𝜈2, Symmetric Stretch ~3651 𝑐𝑚−1 𝜈3,Bending ~1595 𝑐𝑚−1
  • 105. Internuclear distance Energy req SHO Simple Harmonic Oscillator (SHO) Morse Energy Diagram 105
  • 106. For diatomic molecule behaving as SHO Frequency of a vibrational stretching 𝜇 = 𝑅𝑒𝑑𝑢𝑐𝑒𝑑 𝑀𝑎𝑠𝑠 = 𝑚1𝑚2 𝑚1 + 𝑚2 ഥ 𝝑 = 𝟏 𝟐𝝅𝒄 𝒌 𝝁 𝒄𝒎 −𝟏 106 ഥ 𝛝 ∝ 𝐤, means stronger bonds absorbs frequency in high range. ഥ 𝛝 ∝ 𝟏 𝝁 , meansheavier atoms absorb frequency in low wave number
  • 107. 107 Middle IR Near IR 2.5 Far IR 25 0.8 250 12500 4000 400 40 E = 1-10 kcal/mol Bond Vibrations (most useful I.R. region)
  • 108. Identify the order of decreasing vibrational frequency for C - H and C - D bond 108 Identify the increasing order of stretching frequencies for C ≡ C, C = C and C - C bond ഥ 𝝑 = 𝟏 𝟐𝝅𝒄 𝒌 𝝁 𝒄𝒎 −𝟏
  • 109. Energy of Vibrational Energy level is expressed as 𝐸𝑛 = 𝑛 + 1 2 ℎ𝜗 𝐽𝑜𝑢𝑙𝑒𝑠 𝜀𝑛 = 𝐸 ℎ𝑐 = (𝑛 + 1 2 )ഥ 𝜗 𝑐𝑚−1 Where, 𝒏 = 𝑣𝑖𝑏𝑟𝑎𝑡𝑖𝑜𝑛𝑎𝑙 𝑞𝑢𝑎𝑛𝑡𝑢𝑚 𝑛𝑢𝑚𝑏𝑒𝑟 = 0,1,2,3, … … 109
  • 110. Why A molecule can never have zero vibrational energy? 𝐧 = 𝟏 Energy levels of SHO are equally spaced n=0 n=1 n=2 n=3 n=4 n=5 n=6 Selection rule for a SHO undergoing vibrational changes 𝑛 = 2, 𝜀2 = 5 2 ഥ 𝜗 𝑐𝑚−1 𝑎𝑛𝑑 𝑠𝑜 𝑜𝑛 110 The energy of the molecule corresponding to n = 0 level is known as zero point energy 𝑛 = 0, 𝜀𝑂 = 1 2 ഥ 𝜗 𝑐𝑚−1 𝜺𝒐 = 𝟏 𝟐 𝜗 ¯ 𝑛 = 1, 𝜀1 = 3 2 ഥ 𝜗 𝑐𝑚−1 𝜺𝟏 = 𝟑 𝟐 𝜗 ¯ 𝜺𝟐 = 𝟓 𝟐 𝜗 ¯ 𝜺𝟑 = 𝟕 𝟐 𝜗 ¯ 𝜺𝟒 = 𝟗 𝟐 𝜗 ¯ 𝜺𝟓 = 𝟏𝟏 𝟐 𝜗 ¯ 𝜺𝟕 = 𝟏𝟑 𝟐 𝜗 ¯ 𝜀𝑛 = (𝑛 + 1 2 )ഥ 𝜗 𝑐𝑚−1
  • 111. Energy between two adjacent levels 𝜀𝑛→𝑛+1 = 𝑛 + 1 + 1 2 ҧ 𝜗 − 𝑛 + 1 2 ҧ 𝜗 𝑐𝑚−1 = ҧ 𝜗 𝑐𝑚−1 111
  • 112. Anharmonic Oscillator (AHO) Real molecules do not obey laws of SHO for large amplitude of vibrations 𝜀𝑛 = 𝑛 + 1 2 𝜔𝑒 − 𝑛 + 1 2 2 𝜔𝑒𝜒𝑒 𝑐𝑚−1 The selection rules for anharmonic oscillator n = 1, 2, …. etc 112 n=0 n=1 n=2 n=3 n=4 n=5 n=6 Energy Internuclear Distance 𝜺𝒐 = 𝟏 𝟐 𝟏 − 𝟏 𝟐 𝝌𝒆 𝝎𝒆 𝜺𝟏 = 𝟑 𝟐 𝟏 − 𝟑 𝟐 𝝌𝒆 𝝎𝒆 𝜺𝟐 = 𝟓 𝟐 𝟏 − 𝟓 𝟐 𝝌𝒆 𝝎𝒆 Dissociation Energy De Where, 𝒏 = 𝟎, 𝟏, 𝟐, … . 𝝌𝒆 = Anharmonicity Constant 𝝎𝒆 = 𝐄𝐪𝐮𝐢𝐥𝐢𝐛𝐫𝐢𝐮𝐦 𝐎𝐬𝐜𝐢𝐥𝐥𝐚𝐭𝐢𝐨𝐧 𝐅𝐫𝐞𝐪𝐮𝐞𝐧𝐜𝐲 𝐢𝐧 𝒄𝒎−𝟏
  • 113. Probable transitions 𝒏 = 𝟎  𝒏 = 𝟏, 𝒏 = 𝟏: 𝑰𝒏𝒕𝒆𝒏𝒔𝒆 𝑨𝒃𝒔𝒐𝒓𝒑𝒕𝒊𝒐𝒏 (𝑭𝒖𝒏𝒅𝒂𝒎𝒆𝒏𝒕𝒂𝒍 𝑨𝒃𝒔𝒐𝒓𝒑𝒕𝒊𝒐𝒏) 𝚫𝜺 = 𝝎𝒆 (𝟏 − 𝟐𝝌𝒆) 𝒄𝒎−𝟏 𝒏 = 𝟎  𝒏 = 𝟑, 𝒏 = 𝟑: 𝒏𝒆𝒈𝒍𝒊𝒈𝒊𝒃𝒍𝒆 𝒊𝒏𝒕𝒆𝒏𝒔𝒊𝒕𝒚 (𝑺𝒆𝒄𝒐𝒏𝒅 𝒐𝒗𝒆𝒓𝒕𝒐𝒏𝒆) 𝚫𝜺 = 𝟑𝝎𝒆 (𝟏 − 𝟒𝝌𝒆) 𝒄𝒎−𝟏 𝒏 = 𝟎  𝒏 = 𝟐, 𝒏 = 𝟐: 𝑾𝒊𝒕𝒉 𝑺𝒎𝒂𝒍𝒍 𝑰𝒏𝒕𝒆𝒏𝒔𝒊𝒕𝒚 𝑭𝒊𝒓𝒔𝒕 𝒐𝒗𝒆𝒓𝒕𝒐𝒏𝒆 𝚫𝜺 = 𝟐𝝎𝒆 (𝟏 − 𝟑𝝌𝒆) 𝒄𝒎−𝟏 113
  • 114. Q. The fundamental and first overtone transitions of NO are centred at 1876 cm-1 and 3724 cm-1 respectively. Evaluate the equilibrium vibrational frequency, the anharmonicity constant, the zero point energy. 114 Ans: ~ 𝜔𝑒=1903 cm-1, 𝜒 𝑒=7.3 x 10-3 cm-1, zero point energy=949 cm-1
  • 115. Frequency (ϑ) Fundamental First overtone Second overtone Frequency (𝜗) Harmonic oscillator Anharmonic oscillator n=0 n=2 n=1 n=3 n=4 1 2 ℎ𝜗 E Bond distance Bond distance First Overtone Fundamental n=0 n=1 n=2 115 E
  • 118. Bond Class of compound Range (cm-1) C-C Alkane 1200 - 700 118 C-H Alkane 2965 - 2850 C=C Alkene C ≡ C Alkyne 1680 - 1620 2130 - 2150
  • 119. Aldehyde 1740 – 1720 Ketone 1725 - 1705 Carboxylic acid 1725 - 1700 Amide 1700 - 1630 Bond Class of compound Range (cm-1) 119
  • 120. O-H Alcohol (monomer) 3650 - 3590 Bond Class of compound Range (cm-1) 120 C-O Alcohol, ester, acid, ether 1300 - 1000 Carboxylic acid (H-bonded) 3300 - 3250 O-H…O Alcohol (H-bonded) 3420 - 3200
  • 121. N-H Amine, Amide 3500 (approx) CN Nitrile 2260 - 2240 Bond Class of compound Range / cm-1 121
  • 122. C-X Chloride 800 - 600 Bromide 600 - 500 Iodide 500 (approx) Bond Class of compound Range / cm-1 122
  • 123. IR Spectra of Toluene Stretching: C-H(Aromatic) 3099 𝒄𝒎−𝟏 C-H(Aromatic) 3032 𝒄𝒎−𝟏 C-H(Alkyl) 2925 𝒄𝒎−𝟏 C=C 1506 𝒄𝒎−𝟏 123 Wavenumbers/cm-1 100 50 0 % Transmittance 4000 2000
  • 124. Carboxylic Acid Stretching: O–H (Stretch) 3300-2500 cm-1 C=O (Stretch) 1760-1690 cm-1 C–O (Stretch) 1320-1210 cm-1 124 Wavenumbers/cm-1 % Transmittance
  • 126. IR frequency of C=O bond Factors can influence Inductive Effect Addition of +I groups result in weakening of CO bond and the 𝜗𝑐𝑜 value decreases Reason: decrease in bond order and hence the bond strength 1750 cm-1 1745 cm-1 1715 cm-1 126
  • 127. Introduction of groups having –I effect results in increase in bond order of CO and hence increase the absorption frequency (𝜗 values). 127 1750 cm-1 1715 cm-1 1725 cm-1 1740cm-1 1750 cm-1
  • 128. Mesomeric Effect Conjugation lowers the ϑcovalue by weakening the bond. 1715 cm-1 1706 cm-1 No Conjugation Conjugation 128 1693 cm-1 Extension of Conjugation
  • 129. 129 Q. In the IR spectra, Benzamide and Phenyl Acetate show 𝜗𝑐𝑜stretching frequency at 1663 cm-1 and 1730 cm-1 respectively. Justify? Q. Arrange the compounds ‘a’ ‘b’ and ‘c’according to their 𝜗𝑐𝑜 absorption frequency: 1677 cm-1, 1700 cm-1, 1770 cm-1.
  • 130. H-bonding brings downward frequency shifts 130 Hydrogen Bonding Intra-molecular H-bonding gives rise to sharp peak Inter-molecular H-bonding gives rise to broad peak Stronger the H-bonding, greater is the absorption shift towards lower frequency
  • 131. 131 Q. In dilute solution, Amines show stretching frequency at 3650 cm-1, while a broad band is appeared at 3300 cm-1 in condense phase spectra. Explain why? Q. Explain why, the spectrum of glycol in CCl4 shows two peak at 3644 and 3612 cm-1.
  • 133. Fingerprint region  Range ~ 1400 cm-1 to 1000 cm-1 range  Rich in Bending Vibration of C-C, C-H, C-N, C-O etc.  This is referred to as the “fingerprint” region 133
  • 134. 𝜗𝑂𝐻 for O-H stretching ~ 3230 cm-1 and 3550 cm-1 (Broad) Two peaks for C-O stretching at ~1000 cm-1 and 1300 cm-1 in the fingerprint region. -OH C-O 134
  • 135. Esters show a strong absorption between 1750 -1730 cm-1 due to C=O bond stretching. 135
  • 136. O-H C=O C-O N-H Aromatic C-C C-H C=C C-C alkanes CN C-Cl 136
  • 137. 137
  • 138. 138 References: Fundamentals of Analytical Chemistry, 9th Edition, Douglas A. Skoog, Donald M. West, F. James Holler, Stanley R. Crouch Retention and Separation factors, Theoretical plates, Instrumentation and uses of Gas Chromatography and High Performance Liquid Chromatography
  • 139. 139
  • 140. 140
  • 141. 141
  • 142.  He worked on the separation of plant pigments such as chlorophyll, carotenes, and xanthophylls which are have different colours. 142  Chromatography (color writing) was first employed by Mikhail Tswett in 1903
  • 143. 143 It is a physical separation method in which the components of a mixture are separated by differences in their distribution between two phases Stationary phase Mobile phase
  • 144. Purify – Separate components in order to isolate one of interest for further study 144 Analyze – Examine a mixture, its components, and their relations to one another Identify – Determine the identity of a mixture or components based on known components Quantify – Determine the amount of the a mixture and/or the components present in the sample
  • 145. Components that weakly held by the stationary phase move fast with the mobile phase. 145 The substances must interact with the stationary phase to be retained and separated by it. Components that strongly retained by the stationary phase move slowly by mobile phase.
  • 146. Analyte: The substance to be separated during chromatography 146 Retention time (RT): Is a measure of the time taken for a solute to pass through a chromatography column It is calculated as the time from injection to detection Chromatogram: The visual output of the chromatograph Chromatograph: Equipment for performing chromatography Stationary phase
  • 147. Eluent: Is the solvent that carries the analyte. 147 Elution/Development: The process of passing the mobile phase through the column. Eluate: Is the mobile phase leaving the column. Flow rate (FC): Volume of mobile phase passed/minute (mL/min). Eluent Stationary phase Eluate
  • 148. An immobilized phase in chromatography system through which the materials are to be separated e.g. Silica, Alumina. 148 Characteristics: Spherical in shape & uniform in size Chemically inert and high mechanical stability Separating wide variety of compounds Easily available & inexpensive Particle size is in the range 50-200 µm Stationary Phase Stationary phase
  • 150. http://www.chromatography- online.org/Stationary- Phases- and- Supports/Alumina.php The second type of alumina is defined as neutral (pH structure, Neutral Alumina Finally the third type of alumina is defined as basic (p structure Subscribe to Mailing list First Name: Last Name: * Your Email Address: * Enter the security code shown: 150 Basic Alumina realized from those coated with silica precipitated from aluminum chloride are removed by washing with dilute a and finally heated to about 800oC.Th first type is acidic in character (pH 4.0 AcidicAlumina Stationary Phase Acidic Alumina Nutral Alumina
  • 151. 151 Neutral alumina - Useful for separation of aldehydes, ketones, quinones, esters and lactones etc. Acidic alumina - Useful for separation of acid pigments and strong acids. Basic alumina - Useful for basic and neutral compounds that are stable to alkali, as well as for amines, steroids, alkaloids and natural pigments.
  • 152. Gas or liquid that carries the mixture of components through the stationary phase 152 The function of a mobile phase: 1. To introduce the mixture into the column – as solvent. 2. To remove or elute pure components out of the column – as eluent. 3. As color developing agent. Mobile Phase
  • 153. The solvents should have sufficiently low boiling points to permit ready recovery of eluted material However, polarity as seen the most important factor in adsorption chromatography It can be used in either pure form or as mixture of solvents 153 Polarity order of various solvents: Pure water > Methanol > Ethanol > Propanol > Acetone > Ether > Chloroform > Dichloromethane > Toluene > Hexane > Pentane. Selection of solvent as mobile phase
  • 155. 155 1. Gas-liquid Chromatography : Stationary Phase: Liquid bonded or adsorbed on solid surface Type of equilibrium: Partition between gas and liquid 2. Gas-solid Chromatography : Stationary Phase: Solid surface Type of equilibrium: Adsorption Gas Chromatography (GC) Classification: based on mobile and stationary phases
  • 156. 156 1. Liquid-liquid or Partition Chromatography : Stationary Phase: Liquid bonded or adsorbed on solid surface Type of equilibrium: Partition between immiscible liquid 2. Liquid-solid or Adsorption Chromatography : Stationary Phase: Solid surface Type of equilibrium: Adsorption Liquid Chromatography (LC) 3. Ion Exchange Chromatography : Stationary Phase: Ion exchange resin Type of equilibrium: Ion exchange Classification: based on mobile and stationary phases
  • 157. 157 4. Size Exclusion Chromatography : Stationary Phase: Liquid in interstices of a polymeric solid. Type of equilibrium: Partition or sieving 5. Affinity Chromatography: Stationary Phase: Solid surface tagged with some specific group Type of equilibrium: Partition between surface liquid and mobile liquid Classification: based on mobile and stationary phases
  • 158. 158 Mobile Phase: Supercritical Fluid Stationary Phase: Solid surface Type of equilibrium: Partition between supercritical fluid and solid surface Supercritical Fluid Chromatography: Classification: based on mobile and stationary phases
  • 159. Stationary phase: The most common are Silica-gel and Alumina 159 More polar molecules are adsorbed more strongly Hence, elute more slowly Order of adsorption of polar groups on polar support : -C=C- < -OCH3 < -COOR < -C=O < -CHO < -NH2 < -OH < -COOH Olefins < Ethers < Esters < Aldehydes < Amines < Phenols < Acids Stationary phase interacted with solute molecules due to OH groups present on their surface Adsorption chromatography
  • 160. Stationary phase: In this type, the packing consists of a theoretically inert support material coated with a film of the liquid stationary phase 160 The division into adsorption and partition is only of theoretical significance as in partition chromatography the adsorption effects of the support can also be felt Partition Chromatography Partition coefficient / Distribution Constant (K): The ratio of the concentrations of a solute in two immiscible or slightly miscible liquids K = CS/CM Where, CS = Concentration of solute in stationary phase CM = Concentrations of solute in mobile phase
  • 161. 161 Therefore, K = (nS/VS)/(nM/VM) K = CS/CM Distribution constant : partition chromatography CS = nS/VS CM = nM/VM = (nS/nM) x (VM/VS)
  • 162. 162 Column Equilibrium Sample Adsorption Sample Desorption Anion Exchange Cation Exchange Ion-exchange Chromatography
  • 163. The water softening process involving replacement of calcium ions in water with sodium ions by a cation-exchange resign. 163 Ion-exchange Chromatography
  • 164. Useful for macromolecules, proteins and polymers separation 164 Size exclusion Chromatography Small particles can enter into the gel and have less volume to traverse and elute latter Large particles cannot enter into the gel and excluded They have less volume to traverse and elute sooner
  • 165. Gel Permeation Chromatography (GPC): Organic solvent can be used as mobile phase. Semi-rigid/rigid gels like polystyrenes, alkylated dextrons are used as stationary phase. Gel Filtration Chromatography (GFC): Aqueous or buffer solution can be used as mobile phase. Dextran polymers (Sephadex), agarose (Sepharose), or polyacrylamide (Sephacryl or BioGel P) can be used as mobile phase. 165 Size exclusion Chromatography
  • 167.  Useful for separation of biochemical mixtures based on highly specific interaction between antigen and antibody, enzyme and substrate, receptor and ligand or protein and nucleic acid. 167  Mostly used for the purification of proteins. It separates proteins on the basis of reversible interaction between protein (or group of proteins) and a specific ligand coupled to a chromatography matrix. Affinity Chromatography
  • 168. 168 Stationary phase Two dimensional chromatography Paper chromatography Thin layer chromatography Three dimensional chromatography Column chromatography Classification based on the physical means (Methods holding the stationary phase)
  • 169. 169 Planar Chromatography: Stationary phase is supported on a flat plate on which the mobile phase moves on it by capillary action Planar Chromatography
  • 170.  Thin Layer Chromatography (TLC): The stationary phase is a thin layer supported on glass, plastic or aluminium plates. 170  Paper Chromatography (PC): The stationary phase is a thin film of liquid supported on an inert support or paper. Classification based on the Technique
  • 171. Separations on TLC involve distributing a mixture of two or more substances between a stationary phase and a mobile phase The stationary phase: Thin layer of adsorbent (usually silica gel or alumina) coated on a plate (Glass or Aluminium plate) 171 The mobile phase: It is a developing liquid which travels up the stationary phase, carrying the samples with it Planar Chromatography: Thin layer Chromatography (TLC)
  • 172. Components of the samples will separate on the stationary phase according to how much they adsorb on the stationary phase versus how much they dissolve in the mobile phase. 172 Planar Chromatography: Thin layer Chromatography (TLC)
  • 173. 173
  • 174. When the plates are removed from the chamber, quickly trace the solvent front (the highest solvent level on the plate) with a pencil. 174 Thin layer chromatography (TLC): How to perform
  • 175. 175 Thin layer Chromatography (TLC): How to Perform
  • 176. The most common visualization technique is to hold the plate under a UV lamp Visualizing Agents:  Alkaloids: Dragendorff’s reagent  Cardiac glycosides: Antimony trichloride  Sugar: Aniline phthalate  Amino acids: Ninhydrin 176 Thin layer Chromatography (TLC): Identifying the Spots
  • 177. 177 Rf = distance simultaneously travelled by the mobile phase distance travelled by the center of the spot Rf = distance travelled by the solvent front distance travelled by the compound OR The Rf (retention factor) value for each spot should be calculated Calculation for retention factor (Rf)
  • 178. 178 Solvent front 1.5 cm 2.3 cm 3.0 cm 4.0 cm Rf ( ) = 1.5/4 Rf ( ) = 2.3/4 Rf ( ) = 3/4 Thin layer Chromatography (TLC): Interpreting the Data
  • 179. It is characteristic for any given compound on the same stationary phase using the same mobile phase 179 Hence, known Rf values can be compared to those of unknown substances to aid in their identifications Thin layer Chromatography (TLC): Retention Factor (Rf)
  • 180. Column Chromatography (CC): Stationary phase is packed in a glass column 180 Classification Based on the Technique:
  • 181. The main function of the column is to support the stationary phase Column is mostly good quality neutral glass and not affected by solvents Column dimensions - length and diameter ratio (10:1, 30:1 or 100:1) 181 Column Chromatography (CC): Column Characteristics
  • 182. The stationary phase is packed into a column 182 Sample addition: Apply evenly and in a concentrated solution to the top of the column which is protected from disturbance Packing of column: Packing depends mainly on the density of the solid Techniques used are the wet, dry and slurry methods In all cases avoid inclusion of air bubbles Column Chromatography (CC): Column Packing
  • 183. Isocratic elution: Addition of solvent mixture of fixed composition during the whole process. e.g. Single solvent or solvent mixture with fixed composition 183 Gradient elution: Continuous change in the composition of the mobile phase over a period of time (e.g. polarity, pH or ionic strength). Usually mixture of solvents e.g. Ethyl acetate-hexane, Methanol- dichloromethane Column Chromatography (CC): Types of Elution
  • 184. On-column detection: For colored or fluorescent compounds directly after developing the chromatogram. Monitoring the eluted fractions with TLC or PC. Using special detectors: Connected to the column such as refractive index, UV detectors, etc. 184 Column Chromatography (CC): Detection
  • 186. Poor resolution Good resolution 186 Column Chromatography (CC): Peak Resolution
  • 187. The resolution (Rs) of the column tells us how far apart two bands are relative to their widths. 187 Column Resolution
  • 188. 188 Particle size of solid stationary phase : Decrease of size improves separation Column dimensions: Efficiency increases as ratio length / width increases Uniformity of packing: Non uniform packing results in irregular movement of solutes through column and less uniform zone formation (i.e. band broading or tailing) CC: Factors Affecting Column Efficiency Column temperature: Increase in column temperature results in speed of elution but does not improve separation (tailing)
  • 189. 189 Continuity of flow: Discontinuous flow disturbs resolution Solvent flow rate: Uniform and low flow rate gives better resolution CC: Factors Affecting Column Efficiency Eluting solvent: Solvents should be of low viscosity (to give efficient resolution) and high volatility (to get rapid recovery of the substances) Concentration of solutes: Substances of high concentration move slowly Condition of adsorbent: Deactivation of adsorbent decreases separation
  • 190. Column Collected fractions Monitor: To get the chromatogram 190 Column Chromatography (CC): An Automated Machine
  • 191. A (stationary) ⇌ A (mobile) The equilibrium constant for this reaction is called as distribution constant. KC = CS/CM KC is equilibrium constant (distribution constant) CS = Concentration of solute in stationary phase CM = Concentrations of solute in mobile phase. CS is directly proportional to CM CS = nS/VS, CM = nM/VM 191 All chromatographic separations are based on differences in the extent to which solutes are distributed between mobile and stationary phase Column Chromatography (CC): Migration Rates of Solutes
  • 192. tR = tM + tS; tS = time duration of the analyte retained in the stationary phase Volumetric flow rate FC = VR / tR 192 Column Chromatography (CC): Migration Rates of Solutes
  • 193.  Retention Volume (VR) - Volume of eluent needed to convey a solute band from the point of injection , through the column, to the detector 193  Retention time (tR) - Time needed for each component of the mixture after injection to reaches the detector  Dead or void time (tM) - Transit time of the un-retained solute to reach the detector, known as void time Column Chromatography (CC): Migration Rates of Solutes
  • 194. Velocity = Distance/Time  Length of column/ Retention times Velocity of Solute: 194 x tM/tM Velocity of solute: Column Chromatography (CC): Velocities M R t L t L v    Velocity of Mobile Phase: x tM/tR
  • 195. M S M S M M S S S S M M M M V V K v c c K V c V c v V c V c V c v / 1 1 Constant on Distributi , / 1 1              A k V V K where M S A  Retention factor for solute A M S M M R A A M R A t t t t t k k t L t L k v          1 1 1 1  M R t L t L v    Ideally the retention factor for analytes in a sample between 1 and 5 195 CC: Velocity, Distribution Constant and Retention Factor
  • 196. In two component system; Can “A” be separated from “B”? For example; B retained in the column more than A  α >1 M A R M B R M M B R B M M A R A A B t t t t t t t k and t t t k k k         ) ( ) ( ) ( ) (   kB and kA are Retention factors tM , tR Retention times. 196 CC: Selectivity factor/Separation factor (α)
  • 197. 197 Column Efficiency - Plate Theory The column is divided into a number of zones (theoretical plates) Within each theoretical plates complete equilibration of analyte occurs between stationary and mobile phase Assumption
  • 198. 198 Greater separation occurs with: Greater number of theoretical plates (N) L = N × H H = L/N Where, L - Length of the column N - Number of plates H - Height Equivalent of Theoretical Plates Height Equivalent to a Theoretical Plate (HETP)
  • 199. Solute moving through a column spreads into a Gaussian shape with standard deviation σ, and the variance is σ2. L H 2   199 The variance per unit length of column is the measurement of column efficiency. Plate Theory
  • 200. Band spreading The width of bands increases as their retention time (volume) increases 2 16 pates of number L/H         W t N N R Common measures of breadth are: The width W at the baseline between tangents drawn to the steepest parts of the peak (inflection points). 200
  • 201. (c) L = H x N H = L / Naverage = 25 / 1276 = 2.35 x 10-2 cm 201 Q. Substances A and B have retention times of 13.01 and 14.31 min, respectively, on a 25 cm column. The peak widths at base for A and B are 1.45 and 1.61 min, respectively. Calculate (a) The column resolution, (b) The average number of plates in the column, (c) The average plate height Ans: Given, (tR)A = 13.01 min; (tR)B = 14.31 min L = 25 cm WA = 1.45 min; WB = 1.61 min (a) Resolution; RS = 2 [(tR)B ⎯ (tR)A] / (WA + WB) = 0.85 (b) Number of Plates NA = 16 [(tR)A / W]2 = 1288 NB = 16 [(tR)B / W]2 = 1264 Average number of plates; NAverage = [NA + NB] / 2 = 1276
  • 202. (c) L = H x N H = L / Naverage = 30 / 3445 = 8.7 x 10-3 cm 202 Q. Substances A and B have retention times of 16.40 and 17.63 min, respectively, on a 30 cm column. An unretained species passes through the column in 1.30 min. The peak widths at base for A and B are 1.11 and 1.21 min, respectively. Calculate (a) The column resolution, (b) The average number of theoretical plates in the column, (c) The average plate height Ans: Given, (tR)A = 16.40 min; (tR)B = 17.63 min; tM = 1.30 min L = 30 cm WA = 1.11 min; WB = 1.21 min (a) Resolution; RS = 2 [(tR)B ⎯ (tR)A] / (WA + WB) = 1.06 (b) Number of Plates NA = 16 [(tR)A / W]2 = 3493 NB = 16 [(tR)B / W]2 = 3397 Average number of plates; NAverage = [NA + NB] / 2 = 3445
  • 203. Ans: Given, KA = 5.99; KB = 6.16; VS/VM = 0.425 (a) Retention factor; kA = KA x (VS/VM) = 2.546 kB = KB x (VS/VM) = 2.618 (b) Selectivity factor;  = kB / kA = 1.03 (c) L = HN = 9.03 x 104 x 1.53 x 10-3 = 138.159 cm 203 Q. Two components A and B are separated by elution with hexane from a column packed with silica-gel (water adsorbed on silica surface). Distribution coefficients (K = Caq/Corg) of compounds A and B in water/hexane system are 5.99 and 6.16 respectively. The ratio VS/VM for the packing is 0.425. Calculate, (a) Retention factor for A and B, (b) Selectivity factor, (c) Length of the column if the number of theoretical plates and plate height of packing are 9.03 x 104 and 1.53 x 10-3 cm respectively.
  • 204. Ans:  NA = 16 [(tR)A / W]2  H = L / N  H = σ2/L 204 Calculate a) The number of plates from each peak b) Average plate height c) Standard deviation Q. The following data are for a liquid chromatographic column: Length of packing: 24.7 cm, Flow rate: 0.313 mL/min, VM: 1.37 mL, VS: 0.164 mL A chromatogram of a mixture of species A, B, C and D provided the following data:
  • 205. From the above data Calculate (a) Retention factor (b) The distribution constant. Ans. (a) Retention factor; kA = [(tR)A – tM]/tM = tS/tM Similarly, kB, kC, kD can be calculated (b) Distribution constant; KA = kA (VM/VS) Similarly, KB, KC, KD can be calculated 205 Q. The following data are for a liquid chromatographic column: Length of packing: 24.7 cm, Flow rate: 0.313 mL/min, VM: 1.37 mL, VS: 0.164 mL A chromatogram of a mixture of species A, B, C and D provided the following data:
  • 206. Ans.  NA = 16 [(tR)A / W]2  L = H x N  H = σ2/L 206 Q.
  • 207. Ans. Resolution; From the above data; Calculate the resolution for (a) Methylcyclohexene and methylcyclohexane (b) Methylcyclohexene and toluene (c) Methylcyclohexane and toluene 207 Q.
  • 208. Ans. (a) Retention factor, (b) Distribution constant, kA = KA x (VS/VM) (c) Selectivity factor, M S M M R A A M R A t t t t t k k t L t L k v = - = + ´ = + ´ = 1 1 1 1 µ M A R M B R M M B R B M M A R A A B A B t t t t t t t k and t t t k k k K K - - = - = - = = = ) ( ) ( ) ( ) ( a a a 9. If VS and VM for the column in the problem 7 are 19.6 and 62.6 mL, respectively, and a non retained air peak appears after 1.9 min, Calculate (a) The retention factor for each compound (b) The distribution constant for each compound (c) The selectivity factor for methylcyclohexane and methylcyclohexene 208
  • 209. Gas Chromatography 209 John Porter Martin developed first gas-liquid chromatograph in 1950
  • 210. 210 Separation of gaseous and volatile substances The mobile phase do not interact with the analyte Type of GC The mobile phase only transport the analyte GSC (Gas-solid chromatography) Gas Chromatography GLC (Gas-liquid chromatography Inert gas (e.g. He, N2, Argon etc) are used as mobile phase
  • 211. 211 GSC (Gas-solid chromatography)  GSC principle is ADSORPTION GLC (Gas-liquid chromatography  GLC principle is PARTITION  useful for separation of low molecular mass gaseous like air, H2S, CO, CO2, CS2 and rare gases  not used because of limited no. of Stationary phase
  • 212. Criteria for compounds to be analyzed by G.C  Volatility  Thermostability Advantages of Gas Chromatography Strong separation power Complex mixture can be resolved into constituents Good precision and accuracy Separation completed in a short time Low cost of instrument with generally long lifetime Suitable for routine analysis 212
  • 213. Schematic diagram of a gas chromatograph 213 Carrier gas Column oven Flow controller Sample injector Detector Waste Column Recorder
  • 214. How a GC machine works Smple is injected onto the machine. 214  Components reaches the detector and recorded as a sequence of peaks as they leave the column  Sample converted into vapor and mixed with gaseous mobile phase  The sample moves through the column along with the flow of inert gas and separation occurs Components are separated according to their Partition coefficient
  • 215. Components of Gas chromatography Detectors  Flame ionization (FID)  Thermal conductivity (TCD)  Electron capture (ECD)  Flame photometric (FPD)  Photo-ionization (PID) 215 Carrier gas  He (common), N2, H2 and Argon Sample injection port  micro syringe Columns  2-50 m coiled stainless steel/glass/Teflon
  • 216.  Pressure, P = inlet 10-50 psi (pound per inches2) Flow, F = 25-150 mL/min (packed column) F = 1-25 mL/min (open tubular column) Carrier gas 216  Must be chemically inert Commonly used gases include nitrogen, helium, argon, and carbon dioxide The choice of carrier gas is often dependant upon the type of detector which is used The carrier gas system also contains a molecular sieve to remove water and other impurities
  • 217. Sample injection- Direct Injection  The sample port is usually at about 50 oC 217  Direct injection into heated port (>T oven) using micro syringe  Slow injection or oversized samples cause band spreading and poor resolution
  • 218. Packed column: contain a finely divided, inert, solid support material coated with liquid stationary phase. 218 Column types Most packed columns are 1.5 – 10 m in length and have an internal diameter of 2 – 4 mm.
  • 219. 219 Capillary columns are of two types  Wall coated open tubular (WCOT)  Support coated open tubular (SCOT)  The stationary phase (liquid) coated with a thin layer of 0.05 to 1 μm. Column types >
  • 220. Gas Chromatography - Detectors  signal is related to the rate at which solute molecules enter the detector  usually destroy the sample 220 Detectors can be grouped into concentration dependent detectors and mass flow dependent detectors  signal is related to the concentration of solute in the detector  does not usually destroy the sample Concentration dependent detector Mass flow dependent detectors
  • 221. 221 High performance liquid chromatography (HPLC) Solvent Reservoir Pump Column Injector Detector Waste PC for Data Acquisition
  • 222. Pump : • pump extracts mobile phase from the reservoir • forces it through the system’s column and detector 222 Components of HPLC Solvent Reservoir : • The mobile phase, or solvent, in HPLC is usually a mixture of polar and non-polar liquid. Sample Injector: • single injection or • automated injection system
  • 223. Detectors: • UV or fluorescence spectroscopy • Mass-spectrometric 223 Columns : • usually between 50 and 300 mm long • have an internal diameter of between 2 and 5 mm. • commonly filled with a stationary phase with a particle size of 3–10 µm.
  • 224.  Instead of a solvent being allowed to drip through a column under gravity, it is forced through under high pressures of up to 400 atmospheres. 224 Separation of a sample into its constituent parts because of the difference in the relative affinities of different molecules for the mobile phase and the stationary phase used in the separation. HPLC : Basic principle  HPLC is basically a highly improved form of column liquid chromatography  It is much faster.
  • 225.  polar samples are retained on the polar surface of column packing longer than less polar materials. Types of HPLC 225 Normal Phase HPLC:  NP-HPLC uses polar stationary phase and non-polar mobile phase  the stationary phase is usually silica  mobile phases are hexane, methylene chloride, chloroform, diethyl ether, and mixtures of these
  • 226. Types of HPLC 226 Reverse Phase HPLC: The stationary phase is non-polar (hydrophobic) in nature  mobile phase is a polar liquid, such as mixtures of water and methanol or acetonitrile. works on the principle of hydrophobic interactions hence the more nonpolar the material will be retained longer
  • 227. Applications of HPLC Pharmaceutical Applications 1. Pharmaceutical quality control. 227 Environmental Applications 1. Detection of phenolic compounds in drinking water. 2. Bio-monitoring of pollutants. Applications in Forensics 1. Determination and quantification of drugs in blood, urine etc. Food Safety 1. Measurement of Quality of soft drinks and water. 2. Sugar analysis in fruit juices.
  • 229. Thermal methods of analysis A group of techniques in which the physical properties of a substance is measured as a function of temperature while the substance is subjected to controlled temperature program. 229 The most commonly used techniques are those which measure changes of mass or changes in energy of a sample of a substance
  • 230. 1. Thermogravimetry Analysis (TGA) 2. Derivative Thermogravimetry (DTG) 3. Differential Thermal Analysis (DTA) 4. Differential Scanning Calorimetry (DSC) 230 Thermal methods of analysis
  • 231. Thermal gravimetric analysis (TGA) A technique in which the mass of a substance is monitored as a function of temperature or time Samples are subjected to a controlled temperature program in a controlled atmosphere 231
  • 232. What does a TGA thermal curve look like? 232 Data recorded in form of curve known as thermogram
  • 233. Change in sample composition Thermal stability Decomposition reactions and temperatures Absorbed moisture content Kinetic parameters for chemical reactions in the sample Purity 233
  • 234. Dynamic TGA: the sample is subjected to condition of a continuous increase in temperature at a constant heating rate, i.e., usually linear with time. Isothermal or Static TGA: sample is maintained at a constant temperature for a period of time during which change in weight is recorded. Quasi-static TGA: sample is heated to a constant weight at each of a series of increasing temperature. Different types of TGA
  • 235. Furnace (made up of quartz): Programmed to increase the temperature “linearly a predetermined rate of 0.5 – 25 oC/min from r.t. – 1200 oC. 235 Instrumentation The main components of the TGA apparatus are: Analytical thermo balance: For the measurement of mass with reproducibility with the order of ±10 micro gram Environment control equipment: For providing inert atmosphere for the sample whenever desired. The auto sampler: Helps to load the samples on to the microbalance. A recorder: That gives a graph of m (or dm/dt) as a function of T.
  • 236. Horizontal portion indicate there is no mass change, an indication of the thermal stability of the sample The slanding portion indicate weight loss due any physical or chemical process like dehydration / formation of volatile products due to decomposition or dissociation etc. 236 Block diagram of TGA
  • 237. Types of TGA curves Curve 3: Single stage decomposition: This curve is typical of single-stage decomposition temperatures having Ti and Tf. Mass Temperature Curve 1: No change: depicts no mass change over the entire range of temperature, the decomposition temperature is greater than the temperature range of the instrument. Curve 2: Desorption/drying: This curve shows that the mass loss is large followed by mass plateau. This is formed when evaporation of volatile product(s) during desorption, drying or polymerization takes place Mass Temperature Mass Temperature
  • 238. Curve 7: Similar to curve 6, but product decomposes at high temperatures. For example, the reaction of surface oxidation followed by decomposition of reaction product(s). Types of TGA curves Mass Temperature Curve 4: Multistage decomposition: This curve reveals the multi-stage decomposition processes as a result various reactions. Curve 5: Similar to 4, but either due to fast heating rate or due to no intermediates. Curve 6: Atmospheric reaction: This curve shows the increase in mass. This may be due to the reactions such as surface oxidation reactions in the presence of an interacting atmosphere.
  • 239. TGA experiment: Processes that leads to weight gain and loss 239
  • 240. Applications of TGA In Qualitative analysis Allows a comparison of thermal stabilities of the related materials. Materials Characterization/Purity: fingerprinting of materials for identification / quality control. 240 In Quantitative analysis Compositional analysis: filler content in polymers; carbon black in oils; ash and carbon in coals, and the moisture content of many substances. Corrosion studies: Study oxidation or some reactions with other reactive gases or vapors. It aims how much of a substance is present in the sample: e.g. how much Ba2+ and Ca2+ is present in a mixture.
  • 241. Q. Calcium and Barium ions were precipitated as monohydrated oxalates (BaC2O4.H2O and CaC2O4.H2O). 0.6025 sample was taken and subjected to heating rate of 5 oC/min. They left a residue that weighed 0.5713 gm in 320-400 oC range and mass loss in this temperature range corresponds to the combined loss of water by monohydrated oxalate of Ca and Ba. A further loss in mass was observed in the temperature range of 580-620 oC and the left residue of BaCO3 and CaCO3weighed 0.4673 gm. Calculate the percentage of Ca+2 and Ba+2 ions in the sample?
  • 242.
  • 243. Calcium oxalate monohydrate display three weight loss when heated 243
  • 244. Thermogram of calcium oxalate monohydrate Ca(COO)2 H2O → [180°C] → Ca(COO)2 + H2O (g) 244 CaCO3 → [750°C] → CaO + CO2 (g) Ca(COO)2 → [480°C] → CaCO3 + CO (g)
  • 245. Decomposition of polyester and removal of volatiles Liberation of CO2 from CaCO3 Temperature (oC) Weight (%) 200 400 600 800 100 50 0 I II 245 % of CaCO3 = % of CO2 molecular weight of CaCO3 molecular weight of CO2 CaCO3 in polyester can be determined by TGA curve as follows:
  • 246. Limitations of TGA 246 Thus TGA method is largely limited to decomposition and oxidation reactions and to such physical processes as vaporization, sublimation and desorption. For TGA to be useful, only when temperature variation must bring about a change in the mass of analyte. TGA method cannot be used for  Glass transition and crystalline temperature of polymer Pure fusion reactions  Crystalline transitions  Solid state reactions with no volatile products Rhombic Sulphur ⇌ Monoclinic Sulphur Where there is no weight change but absorption or evolution of heat
  • 247. Derivative Thermogravimetry (DTG) Plots change in mass with temperature, dm/dt, and resolves changes more clearly 247
  • 248. Factors that affect the results 248 A) INSTRUMENTAL • Heating rate • Furnace atmosphere and flow-rate • Geometry of pan and material B) SAMPLE-RELATED • Mass • Particle size • Sample history TGA & DTG
  • 249. Differential Thermal Analysis (DTA) 249 Measures the temperature difference between a sample and an inert reference as a function of temperature while the sample and reference is heated at a constant rate. Glass transitions, phase changes, and melting points can be measured.
  • 250. 250 Schematic diagram of a typical DTA system DTA contain two chambers which are ideal and symmetrical Sample is placed in one chamber Thermally inert reference in other (-alumina) Two chambers are controlled and connected to the same temperature sensor (usually thermocouple) The temperature of the furnace and the two chambers are increased linearly at a rate of 5 -12 degree per min. Temperature difference (DT = Ts - Tr) between the sample and reference will be recorded and plotted as a function of Temperature (T/Tr)
  • 251. Endothermic changes ,the peaks are below zero; eg: absorption, desorption, sublimation, fusion, vaporization 251 Differential Thermogram: A graph with DT vs. Temp.(T) Temperature DT (Temperature Difference)
  • 252. 252 A good information can be obtained about the nature of the test sample from the shape and sizes of these peaks Broad endothermic peak: Dehydration reactions Sharp endothermic peaks: Fusion processes or changes in crystallinity Temperature DT (Temperature Difference)
  • 253. In Analytical chemistry  Melting and boiling points and effect of pressure on it  Identification of the substances (Identification of clays) 253 In Inorganic chemistry Thermal stability of inorganic compounds and complexes In Organic chemistry Qualitative analysis of polymer mixture by analyzing the characteristic melting point of each polymer Applications
  • 254. Differential Scanning Calorimetry (DSC) DSC is a thermal analysis method where differences in heat flow into a substance and a reference are measured as a function of sample temperature, while both are subjected to a controlled temperature program. 254
  • 255. 255 DSC measures the energy (heat) absorbed or released by a sample as a function of temperature or time Q = C T where c is the specific heat of the sample The reference sample should have a well defined heat capacity over the range of temperatures to be scanned and analyzed. The differences in the amount of heat (Q) required to increase the temperature (T) of a sample and reference are measured as a function of temperature.
  • 256. “When the sample undergoes a physical transformation (phase transitions, etc), more or less heat will be needed to flow to it as compared to the reference to maintain both of them at the same temperature” The underlying principle of DSC Both the sample and reference are maintained at nearly the same temperature throughout the experiment. 256 Depends on whether the process is exothermic or endothermic
  • 257. Generally the heat energy supplied to the sample is given a +ve sign. 257 The heat lost due to endothermic reaction is compensated by this supply The heat energy supplied to the reference is given –ve sign The heat gain as a consequence of exothermic reaction in the sample
  • 258. When a solid sample melts into a liquid 258 This is due to the absorption of heat by the sample as it undergoes the endothermic phase transition from solid to liquid Similarly, when the sample undergoes exothermic processes (such as crystallization) less heat is required to raise the sample temperature It requires more heat flowing in to the sample to increase its temperature at the same rate as the reference During a phase transition, a temperature difference (heat flux difference) between the sample and reference can be measured by means of a thermocouple
  • 260. DSC thermogram DSC thermogram is similar to DTA The differences is only with the y axis i.e, dQ/dt is plotted Vs temperature 260  The enthalpy change can be calculated by integrating the area under the curve. Temperature (ºC) Heat Flow(W/g)
  • 261. 1. Glass transitions 2. Crystallisation time and temperature 3. Percent crystallinity 4. Heats of fusion and reactions 5. Specific heat capacity 6. Oxidative/thermal stability 7. Rate and degree of cure 8. Reaction kinetics Applications of DSC 261
  • 262. DTA DSC 1. Graph : ∆T and T 2. Sample size= 5-20 mg 3. Specific heat measurements are not accurate 4. Calorimetric accuracy in the temperature range of 190-1000 deg c. 5. Secondary power source is not required 6. The area of DTA peak is complex function of sample geometry, heat capacity and heat loses 7. Sensitivity of measurement of heat of transition is 0.5kJ/mole 1. Graph: dH/dt vs T 2. Sample size= 2-10 mg 3. Specific heat measurements are accurate 4. Calorimetric accuracy in the temperature range of 170-750 deg c. 5. Secondary power source is required 6. The area of DSC peak is directly related to the enthalpy change occurring. 7. Sensitivity of measurement of heat of transition is few J/mole 262
  • 263. Technique Instrument Parameter Measured Drawing of the curve Thermogravimetric Analysis (TGA) Thermobalance Mass Mass vs temperature Derivative Thermogravimetriy (DTG) Thermobalance dm/dT dm/dT vs temperature Differential Thermal Analysis (DTA) DTAApparatus ∆ T ∆ T vs temperature Differential Scanning Calorimetry (DSC) Calorimeter dH/dt dH/dt vs temperature Basic Principle 263
  • 264. Inorganic Chemistry Shriver and Atkins 264 CY1001D: Chemistry: Module 3 Organometallic chemistry and Catalysis 18-electron rule
  • 265. Organometallic Chemistry  Organometallic compounds: The compounds contain one or multiples metal-carbon bond(s) Chemistry of Metal-Carbon bonds R-Mg-X, R-Li, Cp-Fe-Cp  The metal center in such a compound is bonded to carbon of an organic molecule 265 Zeise's salt η2-ethylene ligand Potassium trichloro(ethene)platinate(II) Pt Cl Cl Cl K+ Zeise's salt was one of the first organometallic compounds reported in the 1827 by W. C. Zeise
  • 266. Why Organometallic Chemistry ? 1. Useful for chemical synthesis, especially for catalytic processes e.g. production of fine chemicals 2. Application in material sciences e.g. organometallic polymers Precursors to films for coating, Luminescent materials Pt C PBu3 PBu3 C C C n Pt C PBu3 PBu3 C C C n 266
  • 267. 3. Biological Science Organometallic chemistry may help us to understand some enzyme-catalyzed reactions Vitamin B12 267
  • 268. Organometallic compounds: Bond between Metal & Carbon The 18-Electron rule: Thermodynamically stable transition metal organometallic compounds are formed when the sum of the metal d electrons and the electrons supplied by the surrounding ligands equals to 18 268 Fe: [Ar]3d6 4s2
  • 269. 269
  • 270. H2C=CH2 Ethylene 2 η3-C3H5 ≡ p-allyl 3 Cyclopropenyl 3 Butadiene 4 1,3-cyclooctadiene(COD) 4 Cyclobutadiene 4 η5-C5H5 ≡ Cyclopentadienyl 5 η6-C6H6 ≡ Benzene 6 L-2 Ligand Name e- count CO Carbonyl 2 Electron counting for common ligands: Neutral ligand method 270
  • 271. Hapticity is the coordination of a ligand to a metal center via an uninterrupted and contiguous series of atoms 271 Hapticity (η): The hapticity of a ligand is described with the Greek letter η ('eta'). η5 describes a ligand that coordinates through 5 neighboring atoms
  • 272. Common organic ligands and their heptacity 272
  • 273. Variable Hapticity 273 W: [Xe] 4f14 5d4 6s2 h5-Cp : 5 Total : 18 2CO: 4 W: 6 h3-Cp : 3
  • 274. A ligand that connects two or more atoms, usually metal ions is conseder as bridging ligand and described with the Greek letter (‘'). Fe3(CO)12 Terminal Bridging 274 Bridging ligands: Carbonyl group can also bridge between two metals Where they can be seen as one electron each to the two metals
  • 275. Each metal atom and ligand is treated as neutral Key point: All ligands are treated as neutral and are categorized according to how many electrons they are considered to donate. 275 18 electron counting: neutral-ligand method If the complex is charged, simply add or subtract the appropriate number of electrons to the total. Count all valence electrons of the metal atom and all the electrons donated by the ligands Fe: 3d6 5s2
  • 276. -H, -Cl, -Br, -I, -OH, -OR, -CN, -CH3, -CR3 1 CO, PR3, NH3, H2O 2 =O, =S, 2 =CRR’ (carbene), H2C=CH2 2 ≡CR (carbyne) 3 η3-C3H5 (p-allyl) 3 Ethylenediamine(en) 4 Bipyridine(bipy) 4 Butadiene, cyclobutadiene, 1,3- cyclooctadiene(COD) 4 η5-C5H5 (Cyclopentadienyl) 5 η6-C6H6 (Benzene) 6 η7-C7H7 (cycloheptatrienyl) 7 18 electron counting for common ligands: neutral ligand method 276
  • 277. Mo : 6 277 3CO: 6 1(C6H6): 6 Total : 18 Mo: [Kr]4d5 5s1 Ni : 10 4CO: 8 Total : 18 Fe : 8 5CO: 10 Total : 18 Cr : 6 6CO: 12 Total : 18 Ni: [Ar]3d8 5s2 Cr: [Ar]3d5 4s1 Fe: [Ar]3d6 4s2
  • 278. Ferrocene: Iron is sandwich between two η5cyclopentadienyl ligand 278 Mn : 7 5CO: 10 1M-M: 1 Fe: [Ar]3d6 4s2 Fe : 8 2x h5Cp: 10 Total : 18 Total : 18 2x Mn : 14 2x5 CO: 20 2x M-M: 2 Total : 36 2 e count for each metal = 36 = 18 Mn: 3d5 4s2
  • 279. 18-electrons rule: Stability of metal complex 279 Cr: [Ar]3d5 4s1 Cr(CO)6 A Cr atom has 6 electrons outside its Noble gas core. Each CO is considered to act as a donar of 2 electrons. The total electrons count is therefore: Similarly, Cr(CO)6⁺ having 17 electrons and Cr(CO)6⁻ having 19-electrons are far less stable than the 18-electron Cr(CO)6. Cr(CO)6 is therefore considered an 18 electron complex thermally stable and can be sublimed without decomposition On the other hand, Cr(CO)5, a 16-electron species and Cr(CO)7 a 20-electron species, are much less stable and are known only as transient species. Cr : 6 6CO: 12 Total : 18
  • 280. 280 Scope of 18 electron rule for d-block organometallic compounds
  • 281. Exceptions to the 18 electron rule 281 : Rh(9) + Cl(1) + [3 x PPh3(2)= 6] = 16 : Zr (4) + [2 x Cl(1) =2] + [2 x C5H5(5)=10] =16 : Ta(5) + [2+ x Cl(1) =2] + [3 x M(1)=3] =10 : W(6) + [6 x Me(1)=6] =12 : Pt(10) + [3 x PPh3(2)=6] =16 : Ir(9) + Cl(1) + CO(2) + [2 x PPh3(2)=4] =16 Rh(Cl)(PPh3)3 Rh: [Kr]4d8 5s1 IrCl(CO)(PPh3)2 Ir: 4f14 5d7 6s2 ZrCl2(C5H5)2 Zr: [Kr]4d2 5s2 TaCl2Me3 Ta: 4f145d3 6s2 WMe6 W: [Xe] 4f14 5d4 6s2 Pt(PPh3)3 Pt: [Xe] 4f14 5d9 6s1
  • 282. Electron counting for ionic complex 282 h3-allyl : 3 Charge: -1 Total : 16 CO: 2 2x PPh3: 4 Ru: 8 Ru: [Kr]4d7 5s1
  • 283. Exception to 18 electron rule L-2 283  Square planar organometallic complexes of the late transition metals (16e)  Some organometallic complexes of early transition metals (e.g. Cp2TiCl2, WMe6, Me2NbCl3, CpW(=O)Cl3  Sterically demanding bulky ligands force complexes to have less than 18 e
  • 284. Structure of metal carbonyl 284 Ni : 10 4CO: 8 Total : 18 Fe : 8 5CO: 10 Total : 18 Cr : 6 6CO: 12 Total : 18 Ni: [Ar]3d8 4s2 Cr: [Ar]3d5 4s1 Fe: [Ar]3d6 4s2 Q. Ni(CO)4, Fe(CO)5 and Cr(CO)6 exist as monomeric form. However Mn(CO)5, Co(CO)4 exist as dimer, why?
  • 285. Mn(CO)5, Co(CO)4 dimerize to form stable 18 electrons complex L-3 285 Mn : 7 5CO: 10 Total : 17 Mn : 7 5CO: 10 Total : 18 1M-M : 1 Co : 9 4CO: 8 Total : 17 Co : 9 3CO: 6 Total : 18 1M-M : 1 22-CO: 2 Mn: [Ar]3d5 4s2 Co: [Ar]3d7 4s2 Monomer Dimer
  • 286. 18-electrons rule: Stability of metal complex 286 Cr: [Ar]3d5 4s1 Cr(CO)6 A Cr atom has 6 electrons outside its Noble gas core. Each CO is considered to act as a donar of 2 electrons. The total electrons count is therefore: Similarly, Cr(CO)6⁺ having 17 electrons and Cr(CO)6⁻ having 19-electrons are far less stable than the 18-electron Cr(CO)6. Cr(CO)6 is therefore considered an 18 electron complex thermally stable and can be sublimed without decomposition On the other hand, Cr(CO)5, a 16-electron species and Cr(CO)7 a 20-electron species, are much less stable and are known only as transient species. Cr : 6 6CO: 12 Total : 18
  • 287. 287 Calculation for number of metal-metal bond Mn2(CO)10 Mn : 7 5CO: 10 Total : 17+X M-M : X = 18 X = 1 [Mn(CO)5]2 Co2(CO)8 Co : 9 4CO: 8 Total : 17+X M-M : X = 18 X = 1 [Co(CO)4]2 Co: [Ar]3d7 5s2 Mn: [Ar]3d5 4s2
  • 288. 288 Calculation for number of metal-metal bond Os3(CO)12 Os : 8 4CO: 8 Total : 16+X M-M : X = 18 X = 2 [Os(CO)4]3 Ir4(CO)12 Ir : 9 3CO: 6 Total : 15+X M-M : X = 18 X = 3 [Ir(CO)3]4 Os = [Xe]4f145d6 6s2 Ir= [Xe] 4f14 5d7 6s2
  • 289. Add up all electrons from Metal d orbitals and ligands to find total e- count. The donor-pair method requires a calculation of the oxidation number Key point: Ligands are considered to donate electrons in pairs (eg.Lewis base), resulting in the need to treat some ligands as neutral and others as charged. 289 18 electron counting: donor pair method Account the charge on each ligand and determine the formal oxidation state of the metal. Common organometallic ligands are assigned an electron count and charge. The charge on ligands helps determine d-electron count of metal.
  • 290. The total electron count is the sum of the number of electrons on the metal atom and the number of electrons provided by the ligands 290 The oxidation number of the metal atom is the total charge of the complex minus the charges of any ligands The number of d electrons the metal provides is its group number minus its oxidation number
  • 291. L-2 Name of the Ligand Neutral ligand -H, -Cl, -Br, -I, -OH, -OR, -CN, -CH3, -CR3 1 CO, PR3, NH3, H2O, H2C=CH2 2 =O, =S, 2 ≡CR (carbyne) 3 η3-C3H5 (p-allyl) 3 Ethylenediamine(en) 4 Bipyridine(bipy) 4 Butadiene, cyclobutadiene, 1,3- cyclooctadiene(COD) 4 η5-C5H5 (Cyclopentadienyl)¯ 5 η6-C6H6 (Benzene) 6 η7-C7H7 (cycloheptatrienyl)⁺ 7 Electron counting for common ligands 291 Donor pair 2 2 4 3 4 4 4 4 6 6 6
  • 292. Neutral –ligand method Donor Pair method 292 h5-Cp : 5 Total : 18 Cl : 1 2x CO : 4 Fe : 8 h5-Cp : 6 Total : 18 Cl : 2 2x CO : 4 Fe(+2) : 6 (h5-C5H5)Fe(CO)2Cl Fe: [Ar]3d6 4s2
  • 293. Neutral –ligand method Donor Pair method 293 2x h5-Cp : 10 Total : 18 Fe : 8 2x h5-Cp : 12 Total : 18 Fe(+2) : 6 (h5-C5H5)2Fe Fe: [Ar]3d6 4s2
  • 294. Neutral ligand method Donor pair method ClMn(CO)5 Co(η4-C4H6)(η3-C3H5) 294 Total : 18 Cl : 1 5x CO : 10 Mn : 7 Total : 18 Cl : 2 5x CO : 10 Mn(+1) : 6 Total : 16 Co : 9 h4-C4H6 : 4 h3-C3H5 : 3 Total : 16 Co(+1) : 8 h4-C4H6 : 4 h3-C3H5 : 4 Mn: [Ar]3d5 4s2 Co: [Ar]3d7 4s2
  • 295. Neutral ligand method Donor pair method Ta(Me)5 295 Total : 10 5x Me : 5 Ta : 5 Total : 10 5x Me : 10 Ta(+5) : 0 Ta: [Xe]4f14 5d3 6s2
  • 296. Neutral ligand method Donor pair method 296 Total : 18 Re : 7 5x CO : 10 PF3 : 2 Charge : -1 Total : 18 Re(+1) : 6 5x CO : 10 PF3 : 2 Total : 16 2x PPh3 : 4 CO : 2 Ru : 8 h3-allyl: 3 Charge : -1 Ru: [Kr]4d7 5s1 Total : 16 2x PPh3 : 4 CO : 2 Ru (+2) : 6 h3-allyl: 4 Re(CO)5(PF3)+ Re: [Xe]4f14 5d5 6s2
  • 297. Sample of iron pentacarbonyl Fe(CO)5:an air-stable liquid Chemistry of Metal Carbonyls 297
  • 298. Metal carbonyls are coordination complexes of transition metals with carbon monoxide ligands. Its primary mode of attachment to metal atom is through the C atom Metal carbonyls are useful in organic synthesis and as catalysts or catalyst precursors in homogeneous catalysis, such as hydroformylation reaction. In Mond process, nickel carbonyl is used to produce pure nickel. Metal carbonyls are toxic by skin contact, inhalation or ingestion because of their ability to carbonylate hemoglobin to carboxyhemoglobin, which prevents the binding of O2 298
  • 300. Most common bridging mode, the CO ligand bridges a pair of metals. This bonding mode is observed in the commonly available metal carbonyls: Co2(CO)8, Fe2(CO)9, Fe3(CO)12, and Co4(CO)12. In certain higher nuclearity clusters, CO bridges between three or even four metals. These ligands are denoted μ3-CO and μ4-CO. L-4 300
  • 301. 301 Cr : 6 6CO: 12 Total : 18 Cr : 6 6CO: 12 Total : 17 Charge : -1 Cr : 6 6CO: 12 Total : 19 Charge : 1 Electron density on the metal centre influence on CO stretching frequency Cr: [Ar]3d5 4s1
  • 302. 302
  • 303. 303
  • 304. As electrons from the metal fill the π-antibonding orbital of CO, they weaken the carbon-oxygen bond compared with free carbon monoxide, while the metal-carbon bond is strengthened 304 A sigma bond arises from overlap of the nonbonding electron pair on carbon with a blend of metal d orbital (s bonding) A pair of π bonds arises from overlap of filled d-orbitals on the metal with a pair of π-antibonding orbitals of carbon atom in CO (p anti bonding or back bonding)
  • 305. For compounds with doubly bridging CO ligands, denoted μ2-CO νCO is usually shifted by 100–200 cm−1 to lower energy compared to the signatures of terminal CO, i.e. in the region 1800 cm−1. Bands for face capping (μ3) CO ligands appear at even lower energies. 305 Infrared (IR) spectroscopy is very useful technique for identification of the presence of carbonyl ligands. IR can also help to determine the bridging/terminal carbonyl group
  • 306. 2100 2000 1900 1800 1700 1600 1500 Free CO Terminal CO Bridging CO(2) Bridging CO(3) 306
  • 307. Compound Wave number (cm-1) CO(g) 2143 [Mn(CO)6]+ 2090 Cr(CO)6 2000 [V(CO)6]- 1860 [Ti(CO)6]2- 1750 Influence of coordination and charge on CO stretching frequencies 307
  • 308. 308 Q. Arrange the given carbonyl complexes in the increasing order of CO stretching frequencies and justify your answer Cr(CO)6 [V(CO)6]- [Ti(CO)6]2- 1. 2. Cr(CO)6 [Cr(CO)6]¯ [Cr(CO)6]+ 3.
  • 309. 309 Q. Following the 18e- rule as a guide; determine charge ‘m’ in the given complex [(𝜂6-C6H6)Mn(CO)2(CH3)]m Total : 18-m CH3 : 1 2CO : 4 Mn : 7 h6-C6H6: 6 Charge : -m Mn: [Ar]3d5 4s2 = 18 m = 0
  • 311. Inorganic Chemistry Shriver and Atkins 311 CY1001D: Chemistry: Module 3 Organometallic chemistry and Catalysis 18-electron rule
  • 312. Nobel -Prize related to Organometallic Chemistry: Victor Grignard (1912) Grignard reagent K. Ziegler, G. Natta (1963) Zieglar-Natta catalyst E. O. Fisher, G. Wilkinson (1973) Sandwich compounds K. B. Sharpless, R. Noyori (2001) Asymmetric oxidation and hydrogenation reaction Yves Chauvin, Robert H. Grubbs, Richard R. Schrock (2005) Alkene metathesis reaction Akira Suzuki, Ei-ichi Negishi, Richard F. Heck (2010) C-C cross coupling reaction
  • 313.  The chemical composition for the catalyst remain same even after the reaction Catalyst : Contribute to one-sixth of the value of all manufactured goods in industrialized countries  A catalyst is a substance that increases the rate of a reaction Catalysts are widely used in industry, and in the laboratory
  • 314.
  • 315. Properties of Catalyst C2H2 + 2 H2 C2H6 [Pt Cat] C2H2 + H2 C2H4 [Lindlar Cat] Small quantity of catalyst is enough to catalyze a large quantity of reaction Catalyst is highly selective Though reactants are same in a reaction, but product varies depending on the catalyst Catalyst can not start the reaction by itself. Also doesn’t alter the position of equilibrium, but helps in achieving the equilibrium faster Catalytic activity increases as surface area of catalyst increases Catalytic activity is maximum at optimum temperature
  • 316. 316 stops or decreases by blocking the active sites of the catalysts Promoter increases the catalytic active by increase in no. of active sites (catalyst of a catalyst): Catalytic poison:
  • 317. Catalysis involves understanding of the thermodynamics, kinetics, electronic interaction, crystal structure, reactor design and process development for a catalytic process. Catalysis increases the rate of reactions  Catalysts can be atoms, molecules, enzymes and solid surfaces
  • 318. Types of Catalytic reaction Typically, all the reactants and catalysts either are in liquid or gas phase In heterogeneous catalytic reaction, the catalyst and the reactants are in different phases Homogeneous catalytic reaction, the catalyst is in the same phase as the reactants Reactions of liquid or gases in the presence of solid catalysts are the typical examples e.g. Hydrogenation of alkene/alkyne over Raney Ni catalyst I. Homogeneous II. Heterogeneous
  • 319. Heterogeneous solid catalysis is strongly associated with adsorption phenomenon  In solid catalysis, at least one of the reactant needs to be adsorbed on the surface of the catalyst.  Adsorption of a component ‘A’ on surface of material ‘B’ : component ‘A’ is called adsorbate and surface ‘B’ is called adsorbent.  The surfaces include both external surface and internal surface due to the pores. For highly porous material, the internal surface area due to the pores is much higher than the external surface area.
  • 320. Types of adsorption Depending on the nature of interaction, the adsorption can be of two types Chemisorptions Physisorptions
  • 321. at the beginning of adsorption physisorbed condition chemisorbed condition Chemisorption of hydrogen on nickel surface Physisorption of hydrogen on nickel surface
  • 322. The van der Waals forces mainly consist of dipole-dipole interactions (exothermic process). (10 to 40 kJ /mol) at the beginning of adsorption physisorbed condition Physisorptions The phenomenon of adsorbate molecules attaching themselves to adsorbent surface under the influence of van der Waals forces is called physisorption or physical adsorption. Adsorption of nitrogen on carbon or alumina
  • 323. After physisorption, the adsorbed molecules can undergo electronic rearrangement with the surface atoms. This phenomenon is called chemisorption chemisorbed condition physisorbed condition Chemisorption process is selective and an adsorbed molecule will chemisorbed only on selected adsorbent. Chemisorptions Chemisorption is associated with formation and breaking of chemical bonds (80-400 kJ/mol) and often required higher temperature Chemisorption of hydrogen on Raney Ni, Pd, Pt etc
  • 324. Oxidative-Addition Reactions Reactions involve the metal atom increase coordination number by two units and also increase in oxidation state by 2. M + X-Y ↔ X-M-Y ↔ X-M + Y Oxidation state: 0 2+ Pt(PPh3)2 + ArX Pt(PPh3)2(Ar)(X)
  • 325. Suitable orbitals be available for bond formation. e.g. [Fe(CO)4]2- has 4 L, but addition of X-Y requires antibonding orbitals which isn’t favorable Criteria to exhibit oxidative addition reaction: Ease of oxidation Vacant coordination site
  • 326. Concerted reaction- 3 centered transition state (i.e. bond break and formation occur simultaneously) Mechanism of oxidative addition reaction Ph3P Cl PPh3 CO Ir + H2 OC Cl H H Ir PPh3 PPh3 OC Cl H H Ir PPh3 PPh3 OC Cl H H Ir PPh3 PPh3 9+4+2+1 = 16 9+4+2+1 +2= 18 Ir= [Xe] 4f14 5d7 6s2 Intermediate state
  • 327. For electrophilic polar molecule Mechanism for oxidative addition reaction Electrophile: charge or neutral species have vacant orbitals attracted to an e- rich center LnM: + CH3I LnM: CH3 I LnM I CH3 Radical or one electron transfer mechanism LnM + CH3I LnM I CH3 LnIM + CH3
  • 328. The oxidative addition of hydrogen is a concerted reaction: dihydrogen coordinates to form a σ-bonded H2 ligand, and then back bonding from the metal results in cleavage of the H-H bond and the formation of cis dihydrides Oxidative addition reactions Ph3P Cl PPh3 PPh3 Rh + H2 Ph3P Cl PPh3 PPh3 Rh H H Ph3P Cl PPh3 PPh3 Rh H H Ph3P Cl H PPh3 Rh H PPh3 Four coordinate 16e Rh(I) Five coordinate 18e Rh(I) Six coordinate 18 e Rh(III) Intermediate state
  • 329. Substitution Reaction Replacement of one ligand by another in organometallic complexes. Sol = any solvated molecule e.g. THF Cr(CO)6 + sol Cr(CO)5(sol) + CO Cr(CO)5(sol) + L Cr(CO)5L + sol [Ir(CO)Cl(PPh3)2] + PEt3 [Ir(CO)Cl(PPh3)(PEt3)] + PPh3 Cr(CO)6 + PMe3 Cr(CO)5PMe3 + CO
  • 330. The opposite of oxidative addition, where two ligands couple and eliminate from a metal centre, is known as reductive elimination. o Oxidative addition and reductive elimination reactions are in principle reversible Reductive-Elimination reactions e.g. 1 e.g. 2 However, one direction is normally thermodynamically favored over the other
  • 331. Insertion reactions Insertion reactions do not involve changes in metal oxidation state. Reverse of above insertion reaction called decarbonylation reaction (CO)5Mn-Me + CO (CO)5Mn-C-Me O Insertion of Carbon monoxide (CO) into metal-carbon bond Mn-CH3 bond called carbonylation
  • 332. Wilkinson’s catalyst  Wilkinson’s catalyst is an effective homogeneous catalyst for double bond hydrogenation  Cholorotris(triphenylphosphine)rhodium(I) [Rh(Cl)(PPh3)3] is know as Wilkinsons catalyst
  • 333. Mechanism: Hydrogenation by Wilkinson catalyst
  • 334. 335 Historical work of Ziegler and Natta Nobel prize in chemistry in 1963 Polymerization of ethylene 2 Polymerization of propylene 2
  • 335. Ziegler-Natta Catalyst  Ziegler –Natta(ZN) catalyst is used in polymerization of olefins with high linearity and stereoselectivity The Ziegler-Natta (ZN) catalyst, named after two chemists: Karl Ziegler and Giulio Natta, and considered as powerful tool for polymerization of α-olefins R
  • 336.  Organoaluminum compound (co-catalyst) Ziegler-Natta Catalyst A typical Ziegler-Natta catalyst system usually contains two parts: Transition metal (Group IV metals, like Ti, Zr, Hf) compound e.g. TiCl4 + Et3Al or TiCl4 + AlEt2Cl
  • 337. TiCl4 The titanium chloride compound has a crystal structure in which each Ti atom is coordinated to 6 chlorine atoms On the crystal surface, a Ti atom is surrounded by 5 chlorine atoms with one empty orbital to be filled.
  • 338. TiCl4+AlEt3 catalyst  Et3Al donates an ethyl group to Ti atom and the Al atom is coordinated to one of the chlorine atoms  One chlorine atom from titanium is kicked out during this process
  • 339. Steps involves in polymerization reactions
  • 340. Mechanism of Ziegler-Natta catalytic polymerization 1. Initiation, 2. Propagation 3. Termination Initiation step The polymerization reaction is initiated by forming alkene-metal complex Interaction between metal-d orbital with p-bonding alkene When a vinyl monomer like propylene comes to the active metal center, it can be coordinated to Ti atom by overlapping their orbitals
  • 341. When other propylene molecules come in, this process starts over and over, giving linear polypropylene Ti Et Cl Cl Cl Cl Ti Cl Cl Cl Cl H2C CH H3C CH Et CH3 H2 C Propagation Ti Cl Cl Cl Cl CH2 CH H3C CH Et CH3 H2 C Propagation step
  • 342. 343 Termination step Termination is the final step of a chain-growth polymerization, forming desired polymers products.
  • 343. Stereo-selectivity The relative stereochemistry of adjacent chiral centers within a macromolecule is defined as tacticity. Stereochemistry of polymers made from ZN-catalyst can be well regulated by rational design of ligands. By using different ligand system, either syndiotactic or isotactic polymers can be obtained.
  • 344. Isotactic, Syndiotactic and Atactic Polymer Isotactic polymers: substituents are located on the same side of the polymer backbone Syodiotactic polymers: substituents located on alternative positions Atactic polymers: substituents located randomly along the chain
  • 345. In the oxo process, an olefin (e.g. propylene), dihydrogen, and carbon monoxide react together in presence of dicobalt-octacarbonyl to give butyraldehydes. Catalysis : Carbonylation reactions Oxo process Co2(CO)8 CH3CH=CH2 + H2 + CO CH3CH2CH2CHO Co2(CO)8
  • 347. A highly successful industrial method for the manufacture of acetic acid by catalytic carbonylation of methanol CH3-OH + CO CH3-COOH The reaction is catalyzed by a Rh catalyst developed at Monsanto Monsanto process
  • 349. Wacker process is used to produce acetaldehyde from ethylene and oxygen using a palladium catalyst and Cu2+ as promoter Wacker Oxidation of alkenes
  • 350. 351 Suzuki cross coupling reactions NaOH
  • 352. Top 20 synthetic chemicals in the USA in 2008
  • 353. What is turnover frequency (TOF)? The turnover frequency is the number of molecular reactions or catalytic cycles carried out by single catalyst center per unit time Catalytic efficiency and lifetime: Turnover number (TON): The turnover number is the maximum number of cycles for which a catalyst survives High turnover number indicate catalyst is more stable for longer run and efficient. For industrial applications the TON is in the range 106-107 High turnover frequency indicates catalyst is very reactive
  • 354. Q. The reaction between bromobenzene and phenylboronic acid required 10 mg palladium catalyst and 2 hrs time. If 0.25 moles of biphenyl was generate during the reaction and atomic mass of palladium is 106.42, then calculate the TON and TOF for the catalyst TON = moles of Product formed moles of catalyst used = 0.25 0.000093 = 2688.17 TOF = TON Time(min) = 2688.17 120 min = 22.4 min-1 Amount of product formed = 0.25 mole Catalyst required = 10 1000 g = 10 1000 x 106.42 mole = 0.000093 mole
  • 355. The chemical, thermal, and mechanical stability of a catalyst determines its lifetime in industrial reactors. Catalyst stability is influenced by numerous factors, including decomposition, coking, and poisoning. Catalyst deactivation can be followed by measuring activity or selectivity as a function of time. Catalysts that lose activity during a process can often be regenerated before they ultimately have to be replaced. The total catalyst lifetime is of crucial importance for the economics of a process. What is the stability of a catalyst?
  • 356. Selectivity of the catalyst: A selective catalyst yields a high proportion of the desired product with minimum amounts of side products. when metallic silver is used to catalyst for the oxidation of ethylene with oxygen to produce oxirane (ethylene oxide), the reaction is accompanied with the formation of undesirable CO2 and H2O. This lack of selectivity increases the consumption of ethene, so chemists are constantly trying to devise a more selective catalyst for oxirane synthesis. O + O2 [Ag cat]
  • 357. Types of Catalytic reaction Typically, all the reactants and catalysts either are in liquid or gas phase In heterogeneous catalytic reaction, the catalyst and the reactants are in different phases Homogeneous catalytic reaction, the catalyst is in the same phase as the reactants Reactions of liquid or gases in the presence of solid catalysts are the typical examples e.g. Hydrogenation of alkene/alkyne over Raney Ni catalyst I. Homogeneous II. Heterogeneous
  • 358. Heterogeneous solid catalysis is strongly associated with adsorption phenomenon  The surfaces include both external surface and internal surface due to the pores At least one of the reactant needs to be adsorbed on the surface of the catalyst  Adsorption of a component ‘A’ on surface of material ‘B’: component ‘A’ is called adsorbate and surface ‘B’ is called adsorbent For porous materials: the internal surface area due to the pores is much higher than the external surface area.
  • 359. Heterogeneous catalysts are used very extensively in industry and have a much greater economic impact than homogeneous catalysts. One attractive feature is that many of these solid catalysts are robust at high temperatures and therefore tolerate a wide range of operating conditions. Reactions are faster at high temperatures, so at high temperatures solid catalysts generally produce higher outputs for a given amount of catalyst and reaction time than homogeneous catalysts operating at lower temperatures in solutions. Easy separation of the product from the catalyst, resulting in efficient and more environmentally friendly processes.
  • 360. The catalytic converter consists of a honeycomb stainless steel or ceramic structure on to which first silica and alumina are deposited followed by a mixture of platinum, rhodium, and palladium as nanoparticles, with diameters typically between 10 and 50 nm. A three-way catalytic converter, used with petrol (gasoline) engines undertakes the following three reactions.
  • 361. A view into the channels of zeolite theta-1 with an absorbed benzene molecule in the large central channel The zeolites absorbs molecules small enough to enter the channels and excludes larger molecules. This selectivity, in combination with catalytic sites inside the cages, provides a degree of control over catalytic reactions. Zeolites are examples of uniform catalysts. They are prepared as very fine crystals that contain large regular channels and cages defined by the crystal structure. Zeolites