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Index Hydrogen Deficiency (IHD) = Degree unsaturation
H H H H H H
‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬
H - C - C – C – C – C – C – H
‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬
H H H H H H
H H H H H H
‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬
H - C - C = C – C – C – C – H
‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬
H H H H
H H H H H H
‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬
H - C - C – C = C – C – C – H
‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬
H H H H
Hexane
C6H14 IHD = 0
Hex-2-ene
C6H12 IHD = 1
Hex-3-ene
C6H12 IHD = 1
Cyclohexane
C6H12 IHD = 1
How many double bonds/rings present
Any double/triple bond/cyclic - number hydrogen atoms decrease
How many H2 need to convert molecule to saturated/noncyclic
Saturatedhydrocarbon = CnH2n+2
Saturated
IDH = 0
Unsaturated
(1 π bond)
2 H deficiency
IHD = 1
H H
‫׀‬ ‫׀‬
C = C
‫׀‬ ‫׀‬
H H
Unsaturated
(2 π bond)
4 H deficiency
IHD = 2
Unsaturated
(1 ring)
2 H deficiency
IHD = 1
Unsaturated
(3 π bond) + 1 ring
8 H deficiency
IHD = 4
IHD = 1
1 π bond or 1 ring structure
Unsaturated
(2 π bond) + 1 ring
6 H deficiency
IHD = 3
Unsaturated
(4 π bond) + 1 ring
10 H deficiency
IHD = 5
IHD = 2
2 π bond / 1 π bond + 1 ring
IHD = 3
3 π bond / 2 π bond + 1 ring / 1 π bond+ 2 ring
Unsaturated
(4 π bond) + 1 ring
10 H deficiency
IHD = 5
Unsaturated
(6 π bond) + 2 ring
16 H deficiency
IHD = 8
Click here IHD (Khan Academy)
 
2
22 yx
IHD


H H H H H H
‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬
H - C - C – C – C – C – C – H
‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬
H H H H H H
Hexane
C6H14 IHD = 0
Hex-2-ene
C6H12 IHD = 1
Hex-3-ene
C6H12 IHD = 1
Cyclohexane
C6H12 IHD = 1
 
2
22 rsyx
IHD


How many double bonds/rings present
Any double/triple bond/cyclic - number hydrogen atoms decrease
How many H2 need to convert molecule to saturated/noncyclic
IHD = 1
1 π bond or 1 ring structure
IHD = 2
2 π bond / 1 π bond + 1 ring
IHD = 3
3 π bond / 2 π bond + 1 ring / 1 π bond+ 2 ring
Molecule with C and H Molecule with N, O, S or Halogen
yx HC srqyx XNOHC
C6H12 C2H2
 
1
2
)12262(
2
22





IHD
IHD
yx
IHD
or
 
2
2
)2222(
2
22





IHD
IHD
yx
IHD
(1 π bond / 1 ring) (2 π bond)
C2H3CI C5H7N
 
1
2
)13222(
2
22





IHD
IHD
syx
IHD
 
3
2
)17252(
2
22





IHD
IHD
ryx
IHD
H - C = C - CI
‫׀‬ ‫׀‬
H H
(1 π bond) (3 π bond / 2 π bond + 1 ring)
or
H H H H H H
‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬
H - C - C = C – C – C – C – H
‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬
H H H H
H H H H H H
‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬
H - C - C – C = C – C – C – H
‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬
H H H H
H H H H H H
‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬
H - C - C = C – C – C – C – H
‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬
H H H H
Index Hydrogen Deficiency (IHD) = Degree unsaturation Saturatedhydrocarbon = CnH2n+2
Molecule Index H2 Deficiency
C2H2 2
Oxygen and Sulfur - No effect on IHD
Halogen - like H – CHCI3 = CH4 , C2H5CI = C2H6
Nitrogen – add one to C and one to H
- CH5N same IHD as C2H6
Index Hydrogen Deficiency (IHD) = Degree unsaturation
How many double bonds/rings present
Any double/triple bond/cyclic - number hydrogen atoms decrease
Molecule with N, O, S or Halogen
srqyx XNOHC
 
2
22 rsyx
IHD

 Click here IHD video
  1
2
)4222(
2
22





yx
IHD
  2
2
)2222(
2
22





yx
IHD
  1
2
)4222(
2
22





yx
IHD
  0
2
)15222(
2
22





syx
IHD
  4
2
)6262(
2
22





yx
IHD
Molecule Index H2 Deficiency
C2H4 1
Molecule Index H2 Deficiency
C2H4O 1
Molecule Index H2 Deficiency
C2H5CI 0
Molecule Index H2 Deficiency
C6H6 4
Molecule Index H2 Deficiency
C7H6O2 5
  5
2
)6272(
2
22





yx
IHD
Molecule Index H2 Deficiency
C7H9N2CI3 3
  1
2
)19242(
2
22





ryx
IHD
Molecule Index H2 Deficiency
C4H9N 1
  3
2
)239272(
2
22





rsyx
IHD
Molecule Index H2 Deficiency
C6H9NOCI2 2
  2
2
)129262(
2
22





rsyx
IHD
Molecule Index H2 Deficiency
C4H8CIF 0
  0
2
)28242(
2
22





syx
IHD
Click here IHD (Khan Academy)
Molecule Index H2 Deficiency
C6H12O6 1
  1
2
)12262(
2
22





yx
IHD
Halogen
Click here spectroscopy database (NIST)
Weighted average calculationRAM calculationVideo on IsotopesVideo on weighted average
Relative Atomic Mass
Weighted average mass- due to presence of isotopes
RelativeIsotopic Mass, (Ar) of an element:
•Relative isotopic mass = Average mass of one atom of element
1/12 x mass of one carbon-12
• Relative isotopic mass, carbon = 12.01
RAM = 12.01 Relative Abundance
13
Why RAM is not a whole number?
Relative IsotopicMass:
= (Mass 12
C x % Ab) + (Mass 13
C x % Ab)
= (12 x 98.9/100)+ (13 x 1.07/100)= 12.01
Video on Isotopes
12
Isotopes are present
CCC12.01
98.9% 1.07%
Click here spectroscopy database (Ohio State)
Mg - 3 Isotopes
24 Mg – (100/127.2) x 100% - 78.6%
25 Mg – (12.8/127.2)x 100% - 10.0%
26 Mg – (14.4/127.2)x 100% - 11.3%
Relative Isotopic Mass:
= (Mass 24
Mg x % Ab) + (Mass 25
Mg x % Ab) + (Mass 26
Mg x % Ab)
= (24 x 78.6/100)+ (25 x 10.0/100) + (26 x 11.3/100) =24.30
Relative Abundance % Abundance
Pb - 4 Isotopes
204Pb – (0.2/10) x 100% - 2%
206Pb – (2.4/10) x 100% - 24%
207Pb – (2.2/10) x 100% - 22%
208Pb – (5.2/10) x 100% - 52%
Relative Isotopic Mass
= (Mass 204Pb x % Ab) + (Mass 206Pb x % Ab) + (Mass 207Pb x % Ab) + (Mass 208Pb x % Ab)
= (204 x 2/100) + (206 x 24/100) + (207 x 22/100)+ (208 x 52/100) = 207.20
Convert relative abundance to % abundance
Convert relative abundance to % abundance
Relative Abundance % Abundance
RelativeIsotopic Mass
24 25 2624 25 26 MgMg
Mass Spectrometer
Uses mass spectrometer
Presence of isotopes
and its abundance
Relative atomic mass
of an element
Relative Molecular mass
of a molecule
Structure of organic
compound
Distinguish bet
structural isomers
CH3CH2CH2OH OH
|
CH3CHCH3
CH3
|
CH3C-CH3
|
CH3
CO2
structural
formula
Organic structure
determination
24 25 26Mg
Mg
Detail notes from chem msuClick here notes from chemguide
Mass Spectrometer
Parts of Mass Spectrometer
Sample injection
VaporizationChamber
• Sample heat to
vapour state
IonizationChamber
• Molecule bombard with
electron form positive ion
AcceleratorChamber
• M+ ion acceleratedby Electric field
Deflector
• M+ ion deflected by magnetic field
Detector
• Convert amt M+ ion to current.
• M+ ion neutralize by electron (more
 e need -  higher current – 
higher intensity of peak)
• Intensity of peak show -relative
abundanceof ion
Sample X bombard by electron
• Form positive M+ ion
• Accelerated (Electric Field)
• Deflected (Magnetic Field) and Detected
X + e- → X+
+ 2e-
Vaporization Ionization Accelerator Deflector Detector321 54
2
1
3 4
5
Click here for simulation
Mass Spectrometer
Parts of Mass Spectrometer
Vaporization Ionization Accelerator Deflector Detector321 54
Vaporization
Injection/ vaporization of sample
liquid state  gaseous
Ionization
Form cation, M+
Acceleration
M+ ion accelerate
by Electric field
Deflection
M+ ion deflect
by magnetic field
Deflection depend:
mass/charge (m/z) ratio:
(m/z) ratio HIGH↑ - Deflection LOW↓
Deflection depend:
mass/charge (m/z) ratio:
(m/z) ratio LOW↓- Deflection HIGH ↑
37
CI+
35
CI+
35
CI2+
2
3 4
1
5 Detector
• Convert abundance M+ ion to current.
• M+ ion neutralize by electron (more  e need - 
high current –  high intensity of peak)
• Peak Intensity –relative abundance of ion
Video Mass spectrometerVideo Ionization/fragmentation Video how MS works
Excellent Online Spectra Database.Click here to view
Mass Spectra Online Database
1 Search methane molecule, CH4
Video on mass spectrometer
Mass/charge m/z
Relative
abundance
Isotopic peak M+ + 1Molecular ion peak, M+
2 Fragmentation pattern CH4 3 Mass Spectrum CH4
Video how MS works
Mg - 3 Isotopes
26 Mg - 11.3% - m/z highest – deflect LEAST
25 Mg - 10.0%
24 Mg – 78.6% - m/z lowest – deflect MOST
Relative Isotopic Mass:
= (24
Mg x % Ab) + (25
Mg x % Ab) + (26
Mg x % Ab)
= (24 x 78.6/100) + (25 x 10.0/100) + (26 x 11.3/100) = 24.30
Mass spectrometry to determine Relative Isotopic Mass
Deflect
MOST
Deflect
LEAST
Pb - 4 Isotopes
208Pb – 52% - m/z highest – deflect LEAST
207Pb - 22%
206Pb - 24%
204Pb – 2% - m/z lowest – deflect MOST
Relative Isotopic Mass
= (204Pb x % Ab) + (206Pb x % Ab) + (207Pb x % Ab) + (208Pb x % Ab)
= (204 x 2/100) + (206 x 24/100) + (207 x 22/100) + (208 x 52/100) = 207.20
Deflect
MOST
Deflect
LEAST
24 Mg 26 Mg
204Pb 208Pb
CI - 2 Isotopes
37 CI – 24.5% - m/z highest – deflect LEAST
35 CI – 75.5% - m/z lowest – deflect MOST
Relative Isotopic Mass:
= (35
CI x % Ab) + (37
CI x % Ab)
= (35 x 75.5/100) + (37 x 24.5/100) = 35.5
Deflect
MOST
Deflect
LEAST
Br - 2 Isotopes
81Br – 49.3% - m/z highest – deflect LEAST
79Br – 50.6% - m/z lowest – deflect MOST
Deflect
MOST
Deflect
LEAST
35CI 37CI
Relative Isotopic Mass:
= (79
Br x % Ab) + (81
Br x % Ab)
= (79 x 50.6/100) + (81 x 49.3/100) = 79.9
79Br 81Br
Mass spectrometry to determine Relative Isotopic Mass
35 CI 37 CI
79Br 81Br
H - 3 Isotopes
3H – trace amt
2H – 0.015% - m/z highest – deflect LEAST
1H – 99.9% - m/z lowest – deflect MOST
Relative Isotopic Mass:
= (1
H x % Ab) + (2
H x % Ab)
= (1 x 99.9/100) + (2 x 0.015/100) = 1.007
Deflect
MOST
Deflect
LEAST
C - 3 Isotopes
14C- trace amt
13C – 1.1% - m/z highest – deflect LEAST
12C – 98.9% - m/z lowest – deflect MOST
Deflect
MOST
Deflect
LEAST
1H 2H
Relative Isotopic Mass:
= (12
C x % Ab) + (813
Cx % Ab)
= (12 x 98.9/100) + (13 x 1.1/100) = 12.01
12C 13C
3H
14C
Mass spectrometry to determine Relative Isotopic Mass
1H 2H
12C 13C
Ionization and Fragmentation
Ionization forming M+
CH3CH2CH2 : CH3 + e → CH3CH2CH2
+
.CH3 + 2e
• Fragmentation of M+
producing 43
CH3CH2CH2
+
·CH3 → CH3CH2CH2
+
+ ·CH3
• Fragmentation of M+
producing 15
CH3CH2CH2
+
·CH3 → CH3CH2CH2· + +
CH3
Ionization and Fragmentation Process- CH3CH2CH2CH3
Ionization Process - CH3CH2CH2CH3
• Bombard by electron form cation
• Molecular ion, M+
= 58
• (CH3CH2CH2CH3)+
= 58
Fragmentation Process CH3CH2CH2CH3
• Molecular ion, M+ undergo fragmentation
• Cation and Radical form
• Cation - Detected
• Radical –Not detected (No charged)
H H
‫׀‬ ‫׀‬
CH3CH2CH2 C:H + e → CH3CH2CH2C+.H + 2e
‫׀‬ ‫׀‬
H H
Ionization forming M+
CH3CH2:CH2CH3 + e → CH3CH2
+·CH2CH3 + 2e
• Fragmentation of M+
producing29
CH3CH2
+·CH2CH3 → CH3CH2
+
+ .CH2CH3
Ionization M+
, m/z = 58
CH3CH2CH2CH3 + e → CH3CH2CH2CH3
+
+ 2e
Ionization and Fragmentation of M+
• Form - m/z = 58, 43 and 15
m/z = 58
m/z = 43
m/z = 15
Ionization and Fragmentation of M+
• Form- m/z = 58 and 29
m/z = 58
m/z = 58
m/z = 29
Unpair electronPositively charged
Will ACCELARATED NOT move
cation radical
CH3CH2CH2CH3
CH3CH2CH2CH3
+- 58 - m/z highest –deflect LEAST
CH3CH2CH2
+ – 43
CH3CH2
+ – 29
CH3
+ –15 - m/z lowest– deflect MOST
Ionization/ Fragmentationpattern CH3CH2CH2CH3
Deflect
MOST
Deflect
LEAST
CH3CH2CH2CH3
+
CH3CH2CH2
+
ionization
CH3
+
Ionization and FragmentationProcess
Fragmentation
Ionization CH3CH2CH2CH3
CH3CH2CH2CH3 + e → CH3CH2CH2CH3
+
+ 2e → 58
or
CH3CH2:CH2CH3 + e → CH3CH2
+·CH2CH3 + 2e → 58
Mass spectrum CH3CH2CH2CH3IonizationCH3CH2CH2CH3
CH3CH2
+
Fragmentation of M+
CH3CH2CH2
+
·CH3 → CH3CH2CH2
+
- 43
CH3CH2
+·CH2CH3 → CH3CH2
+
– 29
CH3CH2CH2
+
·CH3 → +CH3 - 15
CH3CH2CH2CH3
+- 58
CH3CH2CH2
+ – 43
CH3CH2
+ – 29
CH3
+ – 15
CH3
+ CH3CH2CH2CH3
+
CH3CH2CH2OH
CH3CH2CH2OH+- 60 - m/z highest –deflect LEAST
CH2CH2OH+ – 45
CH2OH+ - 31
CH3CH2
+ – 29
CH3
+ –15 - m/z lowest– deflect MOST
Ionization/ Fragmentation pattern CH3CH2CH2OH
Deflect MOST Deflect LEAST
CH3CH2CH2OH+
ionization
CH3
+
Fragmentation
Ionization CH3CH2CH2OH
CH3CH2CH2OH + e → CH3CH2CH2OH+
+ 2e → 60
or
CH3CH2CH2OH + e → CH3CH2
+. CH2OH + 2e → 60
Mass spectrum CH3CH2CH2OHCH3CH2CH2OH
CH3CH2
+
Fragmentation of M+
CH3
+.CH2CH2OH → +CH2CH2OH - 45
CH3CH2
+·CH2OH → +CH2OH – 31
CH3CH2
+·CH2OH → CH3CH2
+ – 29
CH3
+.CH2CH2OH → +CH3 - 15
CH2CH2OH+ CH2OH+
15
60
CH3CH2CH2OH+- 60
CH2CH2OH+ – 45
CH2OH+ - 31
CH3CH2
+ – 29
CH3
+ – 15
15 60
Ionization and FragmentationProcess
Ionization
CH3
+ CH3CH2CH2OH+
CH3CH(CH3)CH2CH3
+- 72 - m/z highest –deflect LEAST
CH3CH(CH3)CH2
+ – 57
CH3CH(CH3)+ - 43
CH3CH2
+ – 29
CH3
+ –15 - m/z lowest– deflect MOST
Ionization/ Fragmentation pattern CH3CH(CH3)CH2CH3
Deflect
MOST
Deflect
LEAST
CH3CH(CH3)CH2CH3
+
Ionization
CH3
+
Fragmentation
Ionization of CH3CH(CH3)CH2CH3
CH3CH(CH3)CH2CH3 + e → CH3CH(CH3)CH2CH3
+
+ 2e → 72
or
CH3CH(CH3)CH2CH3 + e → CH3CH(CH3)CH2
+.CH3 +2e → 72
or
CH3CH(CH3)CH2CH3 + e → CH3CH(CH3)+.CH2CH3 + 2e → 72
Mass spectrum CH3CH(CH3)CH2CH3IonizationCH3CH(CH3)CH2CH3
Fragmentation of M+
CH3CH(CH3)CH2
+ - 57
CH3CH(CH3)+ – 43
CH3CH2
+ – 29
CH3
+ - 15
CH3CH(CH3)+
15
CH3CH(CH3)CH2
+
CH3CH(CH3)CH2CH3
+
CH3CH2
+
CH3CH(CH3)CH2CH3
+- 72
CH3CH(CH3)CH2
+ – 57
CH3CH(CH3)+ - 43
CH3CH2
+ – 29
CH3
+ – 15
Ionization and FragmentationProcess
CH3
+ CH3CH(CH3)CH2CH3
+
(C(CH3)4)+
- 72 - m/z highest –deflect LEAST
(C(CH3)3)+
– 57
(C(CH3)2)+
- 42
(C(CH3))+
– 27
CH3
+ –15 - m/z lowest - deflect MOST
Ionization/ Fragmentation pattern C(CH3)4
Deflect
MOST
Deflect
LEAST
Ionization
Fragmentation
Ionization of C(CH3)4
C(CH3)4 + e → (C(CH3)4)+ +2e → 72
Mass spectrum C(CH3)4IonizationC(CH3)4
(C(CH3)3)+
(C(CH3)4)
(C(CH3)2)+
(C(CH3))+
(C(CH3)4)+
- 72
(C(CH3)3)+
– 57
(C(CH3)2)+
- 42
(C(CH3))+
– 27
CH3
+ –15
Fragmentation M+
(C(CH3)3)+
– 57
(C(CH3)2)+
- 42
(C(CH3))+
– 27
CH3
+ –15
Ionization and FragmentationProcess
CH3
+ (C(CH3)4)+
CH3
‫׀‬
CH3-C-CH3
‫׀‬
CH3
Ionization/ Fragmentation pattern CH3(CH2)8CH3
Ionization
Fragmentation
Ionization of CH3(CH2)8CH3
CH3(CH2)8CH3 + e → CH3(CH2)8CH3
+
+ 2e → 142
Mass spectrum CH3(CH2)8CH3Ionization
CH3(CH2)8CH3
CH3(CH2)8CH3
+
CH3(CH2)8CH3
+
= 142 - m/z highest – deflect LEAST
CH3(CH2)7CH2
+
= 127
CH3(CH2)6CH2
+
= 113
CH3(CH2)5CH2
+
= 99
CH3(CH2)4CH2
+
= 85
CH3(CH2)3CH3
+
= 71
CH3(CH2)2CH2
+
= 57
CH3CH2CH2
+
= 43
CH3CH2
+
= 29
CH3
+
= 15 – m/z lowest – deflect MOST
Loss of methylene
gp, CH2 = 14
CH3(CH2)8CH3
CH3(CH2)7CH2
+
= 127
CH3(CH2)6CH2
+
= 113
CH3(CH2)5CH2
+
= 99
CH3(CH2)4CH2
+
= 85
CH3(CH2)3CH3
+
= 71
CH3(CH2)2CH2
+
= 57
CH3CH2CH2
+
= 43
CH3CH2
+
= 29
CH3
+
= 15
Deflect LEAST
CH3
+
Deflect
MOST
CH3(CH2)8CH3
+
Ionization and FragmentationProcess
15
Ionization/ Fragmentation pattern CH3(CH2)8CH3
Ionization
Fragmentation
Ionization of C6H5CH2OH
C6H5CH2OH+e → C6H5CH2OH+
+ 2e → 108
Mass spectrum CH3(CH2)8CH3Ionization
C6H5CH2OH+ = 108 - m/z highest – deflect LEAST
C6H5CH2
+
= 91
C6H5
+
= 77
CH2OH+ = 31
OH+ = 17 – m/z lowest – deflect MOST
C6H5CH2OH C6H5CH2OH+
C6H5CH2OH
C6H5CH2OH+
C6H5CH2
+
= 91
C6H5
+
= 77
CH2OH+ = 31
OH+ = 17
C6H5CH2OH+ = 108
C6H5CH2
+
= 91
C6H5
+
= 77
CH2OH+ = 31
OH+ = 17
OH+
Deflect
MOST
Deflect LEAST
Ionization and FragmentationProcess
Isomers, Propan-1-ol vs Propan-2-ol
Peak 45 is higher
• Loss of methyl radical at both sides produce (CH3CH(OH))+
• No m/z= 29 peak detected – No CH2CH3 found !
Fragmentationpeak
(M - 15)+ = 45 -> (CH2CH2OH)+
(M - 29)+ = 31 -> (CH2OH)+
(M - 31)+ = 29 -> (CH3CH2)+
(M - 45)+ = 15 -> (CH3)+
Isomers of C3H8OH
Fragmentationpeaks
(M - 15)+ = 45 -> (CH3CH(OH))+
(M - 17)+ = 43 -> (CH3CHCH3)+
(M - 33)+ = 27 -> (CH3C)+
Vs
Loss of CH3
Loss of CH3CH2
Loss of CH2OH
Loss of CH2CH2OH
Loss CH3
OH OH
‫׀‬ ‫׀‬
CH3 C+·CH3 → CH3 C+
+ ·CH3
‫׀‬‫׀‬
H H
m/z= 45
CH3CH2CH2OH
OH
|
CH3CHCH3
Loss OH
Loss OH, CH3, H
Peak 29 and 31 are found
• Inductive effect of OH cause splitting of CH3CH2-|-CH2OH
• m/z = 29 peak detected – CH2CH3 present
CH3CH2
+
· CH2OH → CH3CH2
+
+ ·CH2OH
m/z= 29
CH3CH2
+
· CH2OH → CH3CH2 · + +
CH2OH
m/z= 31
Propan-1-ol
Propan-2-ol
15
Vs
Molecular Ion, M+
= 60 -> CH3CH2CH2OH+
Molecular Ion, M+
= 60 -> CH3CH(OH)CH3
+
Isomers, 2 methylbutanevs 2, 2 dimethylpropane
CH3
‫׀‬
CH3CHCH2CH3
CH3
|
CH3C-CH3
|
CH3
Peak 29 absent
• No CH3CH2
Peak 57 is higher
• Loss of methyl radical
produce tertiary carbocation
• Tertiary carbocation – More stable
Fragmentationpeaks
(M - 15)+ = 57 -> CH3CH(CH3)CH2
+
(M - 29)+ = 43 -> CH3CH(CH3)+
(M - 43)+ = 29 -> CH3CH2
+
(M - 57)+ = 15 -> CH3
+
Isomers of C5H12
Fragmentationpeaks
(M - 15)+ = 57 -> C(CH3)3
+
(M - 30)+ = 42 -> C(CH3)2
+
(M - 45)+ = 27 -> CH3C+
(M - 57)+ = 15 -> CH3
+
Vs
Loss of CH3
Loss of CH3CH2
Loss of CH3CH(CH3)
Loss of CH3CH(CH3)CH2
Loss of CH3
Loss of TWO CH3
Loss of THREE CH3
CH3
‫׀‬
CH3C+·CH3
‫׀‬
CH3
m/z= 57
CH3
‫׀‬
CH3 C+
+ ·CH3
‫׀‬
CH3
2 methylbutane
2, 2 dimethylpropane
Loss of C(CH3)3
Vs
Peak 29 absent
• CH3CH2 present
Molecular Ion, M+
= 72 -> CH3CH(CH3)CH2CH3
+
Molecular Ion, M+
= 72 -> C(CH3)4
+
Normal Vs High ResolutionMass spectrometer
Normal Mass Spectrometer
• Molecular formula by adding all RAM
• RMM for molecule = Sum of all RAM
• RMM O2 = 16 + 16 = 32
• RMM N2H4 = (14 x 2) + (1 x 4) = 32
• RMM CH3OH = (12 + 3 + 16 + 1) = 32
• Molecular ion peak - O2, N2H4, CH3OH - SAME = 32
RAM, O = 16
RAM, N = 14
RAM, H = 1
RAM, C = 12
High ResolutionMass Spectrometer
Measure RMM to 4/5 decimalplaces
• Molecular formula by adding all RAM
• RMM for molecule = Sum of all RAM
• RMM O2 = 15.9949 + 15.9949 = 31.9898
• RMM N2H4 = (14.0031 x 2) + (1.0078 x 4) = 32.0375
• RMM CH3OH = (12.0000 )+ (3 x 1.0078) + 15.9949 = 32.0262
• Molecular ion peak- O2, N2H4, CH3OH is the NOT the same
RAM, O = 15.9949
RAM, N = 14.0031
RAM, H = 1.0078
RAM, C = 12.0000
Vs
Vs
O2, N2H4, CH3OH
Same 32
O2 N2H4 CH3OH
different
Video how MS works
High resolution Mass spectrum
37CI+ 35CI+
CI2 molecule
37CI-37CI - 74 - m/z highest – deflect LEAST
35CI-37CI –72
35CI-35CI –70
37CI –37
35CI –35 - m/z lowest– deflect MOST
Ionization/ Fragmentation pattern CI2
Deflect
MOST
Deflect
LEAST
35CI-35CI+
35CI+
35CI-37CI+
37CI-37CI+
Ionization
37CI+
37CI-37CI+
Fragmentation
Fragmentation of CI2
+
into CI+
CI+
.CI → [35
CI+
+ 35
CI·] + 2e – 35
CI+
.CI → [37
CI+
+ 37
CI·] + 2e –37
Ionization of CI2 to CI2
+
CI:CI + e- →[35
CI+
.35
CI] + 2e – 70
CI:CI + e- →[35
CI+
.37
CI] + 2e – 72
CI:CI + e- →[37
CI+
.37
CI] + 2e – 74
m/z = 37
m/z = 35
Ratio (35
CI : 37
CI) - 3:1
Mass spectrum CI2 / CI atom
Ratio (35
CI35
CI: 35
CI37
CI: 37
CI37
CI) - 9:6:1
IonizationCI2 molecule
37CI-37CI - 74
35CI-37CI – 72
35CI-35CI – 70
37CI – 37
35CI – 35
Ionization and FragmentationProcess
Br2 molecule
81Br-81Br - 162 - m/z highest – deflect LEAST
79Br-81Br –160
79Br-79Br –158
81Br –81
79Br –79 - m/z lowest– deflect MOST
Deflect MOST Deflect LEAST
79Br-79Br+
79Br+
79Br-81Br+
81Br-81Br+
Ionization
81Br+
79Br+
81Br-81Br+
Fragmentation
Fragmentation of Br2
+
to Br+
Br+
.Br → [81
Br+
+ 81
Br·] – 81
Br+
.Br →[79
Br+
+ 79
Br·] – 79
Ionization of Br2 to Br2
+
Br:Br + e- →[81
Br+
.81
Br] + 2e – 162
Br:Br + e- →[79
Br+
.81
Br] + 2e – 160
Br:Br + e- →[79
Br+
.79
Br] + 2e – 158
m/z = 79
m/z = 81
Ratio (79
Br : 81
Br) - 1:1
Mass spectrum Br2 / Br atoms
Ratio (79
Br79
Br: 79
Br81
Br: 81
Br81
Br) – 1:2:1
IonizationBr2 molecule
81Br-81Br - 162
79Br-81Br –160
79Br-79Br –158
81Br – 81
79Br – 79
Ionization/ Fragmentation pattern Br2
Ionization and FragmentationProcess
Ionization/ Fragmentationpattern CH3CH(CI)CH3
Ionization
Ionization
Ionization CH3CH(CI)CH3
CH3CH(CI)CH3+e → CH3CH(CI)CH3
+
+ 2e → 78/80
Presence isotope 35CI and 37CI
CH3CH(37CI)CH3
+ = 80 - m/z highest – deflect LEAST
CH3CH(35CI)CH3
+ = 78
CH3CH(37CI)+
= 65
CH3CH(35CI)+
= 63
CH3CHCH3
+ = 43
CH3C+ = 27 - m/z lowest – deflect MOST
CH3CH(37CI)+
=65
CH3CH(35CI)+
= 63
CH3CHCH3
+ = 43
CH3C+ = 27
CH3CH(CI)CH3 CH3CH(CI)CH3
+
CH3CH(CI)CH3
+
Isotopic peak
(M+)= 78
Isotopic peak
(M++2) = 80
CH3CH(35CI)CH3 CH3CH(37CI)CH3
Isotopic peak
63
Isotopic peak
65
CH3CH(35CI)+ CH3CH(37CI)+
CH3CH(CI)CH3 Fragmentation
CH3C+
Deflect MOST Deflect LEAST
Presence M+ and (M+
+ 2) peak
Presence of Isotopes
Ionization and FragmentationProcess
CH3CH2CH2
79Br CH3CH2CH2
81BrCH2CH2
79Br CH2CH2
81Br
Ionization/ Fragmentationpattern CH3CH2CH3Br
Ionization
Ionization
Ionization CH3CH2CH2Br
CH3CH2CH2Br+e → CH3CH2CH2Br+
+ 2e → 122/124
Presence isotope 79Br and 81Br
CH3CH2CH2
81Br+ = 124 - m/z highest – deflect LEAST
CH3CH2CH2
79Br+ = 122
CH2CH2
81Br+
= 109
CH2CH2
79Br+
= 107
CH2
81Br+ = 95
CH2
79Br+ = 93
CH3CH2CH2
+ = 43
CH3C+ = 27 - m/z lowest – deflect MOST
Isotopic peak
(M+) = 122
Isotopic peak
(M++2) = 124
Isotopic peak
107
Isotopic peak
109
Fragmentation
CH3C+
Deflect MOST Deflect LEAST
CH3CH2CH2Br CH3CH2CH2Br+
CH3CH2CH3Br
CH3CH2CH2Br+
CH2CH2
81Br+
=109
CH2CH2
79Br+
=107
CH2
81Br+ = 95
CH2
79Br+ = 93
CH3CH2CH2
+ =43
CH3C+ = 27
CH3C+
Deflect
LEAST
CH3CH2CH2Br+
Presence of M+ and (M+
+ 2) peak
Presence of Isotopes
Deflect
MOST
Ionization and FragmentationProcess
TI
IB Questions on Mass Spectrometer
Mass spectrometerused to investigateisotopiccompositionof elements.
Thallium has two isotopes.
1) State symbol of two singly chargedionsform.
2) State which ion will follow path marked X on diagram.
lighter-> DEFLECTED MORE
3) Doublychargedions form. Suggestreason whetherthey wouldbe deflectedless or
more than ions at X and Y.
DEFLECTED MORE. Cause deflectiondependson m/z ratio.
Low Mass + High charge -> m/z ratio is low -> deflectedmore.
Naturally occuringboronhas 2 isotopes.RAM boronis 10.81.
% abundance x% (100 – x)%
Determinepercentageabundanceof these isotopes.
Answer:Let % abundancebe x.
1
TI TI
203 205
81 81
X =
B10 B11
Relative Isotopic Mass:
= (Mass 10
B x % Ab) + (Mass 11
B x % Ab)
= (10 x x/100) + (11 x (100 – x)/100) = 10.81
X = 19%
TI+
81
203
TI+205
81
TI+
203
81
IB Questions on Mass Spectrometer
Germaniumis analysedin mass spec. The first and last processesare vaporizationand detection.
1) State the namesof other 3 processesin order in which they occur
Answer:Ionization-> Acceleration-> Deflection
2) For each of processesnamed in a (i), outlinehow processoccur
Ionization-> Sample bombardedwith highenergy/highspeed electrons
Acceleration-> Cations (+ve chargedions) acceleratedby an electricfield
Deflection-> Cations deflectedby a magneticfield
3) Germaniumfoundto have followingcomposition
i)Definerelativeatomic mass.
Average/ weightedmasses of all isotopesof an element.
ii) CalculateRAM, givinganswer to two decimal places.
2
RelativeIsotopicMass
= (Mass 70Ge x % Ab) + (Mass 72Ge x % Ab) + (Mass 74Ge x % Ab) + (Mass 76Ge x % Ab)
= (70 x 22.60/100)+ (72 x 25.45/100)+ (74 x 36.73/100)+ (76 x 15.22/100)= 72.89
IB Questions on Mass Spectrometer
Showsa mass spectrometer.
1)Identifythe parts labelledA, B and C.
2)State and explainwhich one will undergogreatest deflection.
Answer : Greatestdeflection-> lowest mass + highestcharged -> m/z -> lowest
3) Mass spectrumshown below:
i) Explainwhy thereis more than one peak.
Existence of isotopes
ii) Calculate RAM.
3
Relative Isotopic Mass
= (Mass 24Y x % Ab) + (Mass25Y x % Ab) + (Mass 26Yx % Ab)
= (24 x 79/100)+ (25 x 10/100)+ (26 x 11/100) = 24.32
• electron gun
• ionisation chamber
• ionizer
• Electric field
• Charged plates
• Potential difference
• Magnetic field
• Magnet
• Electromagnet
greatest deflection – low mass, high charged
smallest deflection – high mass, low charged
A
C
B
Li+
Li2+
7
6
IB Questions on Mass Spectrometer
Vaporizedmagnesiumis introducedintomass spec. One of the ionsthat reachesdetectorshown below.
1)Identifynumberof protons,neutronand electrons
Answer: 12 protons,13 neutrons,11 electrons
2) State how ion is acceleratedin mass spectrometer.
Using a strong electricfield/strongoppositechargedplate/potentialdifference
3) The ion is also detected by changingthe magnetic field. Deduceand explainby referenceto
m/z valuesof these two ionsof magnesium,which of the ions and is detectedusing a stronger
magneticfield.
Answer: - due to lower charge -> m/z is higher-> deflectedless -> needsa strongermagneticfield to deflect.
4
Cations (+ve) acceleratedby (-ve) plates
25
12
25Mg 2+
smallest deflection – high mass, low charged
Strong magnet/magnetic field to deflect it to bottom
Mg +
25Mg 2+ 25Mg +
25Mg +
25Mg +
Rubidiumcontainstwo stable isotopes.RAM for rubidiumis 85.47
1)Calculate % of each isotopein rubidium.
Answer : Let % abundancebe x %.
% Abundance x% (100 – x)%
76.5% 23.5%
2) Vaporizedsample is ionizedand accelerated.How the use of magneticfieldand detectorenablespercentageof two
isotopesto be determined.
5
85 87
Relative Isotopic Mass:
= (Mass 85
Rb x % Ab) + (Mass 87
Rb x % Ab)
= (85 x x/100) + (87 x (100 – x)/100) = 85.47
X = 76.5%
Rb
Detector
• Convert abundance M+ ions to current.
• M+ ions neutralize by electrons (more
 e needed -  higher current – 
higher intensity of peak)
•Ratio of intensity peaks show
ratio of ions in sample
•Ratio of height of peaks due to
85Rb : 87Rb –> 76.5 : 23.5
Magnetic field/Deflector
• M+ ion deflected by magnetic field
- lighter -> deflectedmore
- heavier -> deflectedless
IB Questions on Mass Spectrometer
Rb Rb
85 Rb 87 Rb
85 Rb 87 Rb
85 Rb
87 Rb

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IB Chemistry on Mass Spectrometry, Index Hydrogen Deficiency and Isotopes

  • 1. Index Hydrogen Deficiency (IHD) = Degree unsaturation H H H H H H ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ H - C - C – C – C – C – C – H ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ H H H H H H H H H H H H ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ H - C - C = C – C – C – C – H ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ H H H H H H H H H H ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ H - C - C – C = C – C – C – H ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ H H H H Hexane C6H14 IHD = 0 Hex-2-ene C6H12 IHD = 1 Hex-3-ene C6H12 IHD = 1 Cyclohexane C6H12 IHD = 1 How many double bonds/rings present Any double/triple bond/cyclic - number hydrogen atoms decrease How many H2 need to convert molecule to saturated/noncyclic Saturatedhydrocarbon = CnH2n+2 Saturated IDH = 0 Unsaturated (1 π bond) 2 H deficiency IHD = 1 H H ‫׀‬ ‫׀‬ C = C ‫׀‬ ‫׀‬ H H Unsaturated (2 π bond) 4 H deficiency IHD = 2 Unsaturated (1 ring) 2 H deficiency IHD = 1 Unsaturated (3 π bond) + 1 ring 8 H deficiency IHD = 4 IHD = 1 1 π bond or 1 ring structure Unsaturated (2 π bond) + 1 ring 6 H deficiency IHD = 3 Unsaturated (4 π bond) + 1 ring 10 H deficiency IHD = 5 IHD = 2 2 π bond / 1 π bond + 1 ring IHD = 3 3 π bond / 2 π bond + 1 ring / 1 π bond+ 2 ring Unsaturated (4 π bond) + 1 ring 10 H deficiency IHD = 5 Unsaturated (6 π bond) + 2 ring 16 H deficiency IHD = 8 Click here IHD (Khan Academy)
  • 2.   2 22 yx IHD   H H H H H H ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ H - C - C – C – C – C – C – H ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ H H H H H H Hexane C6H14 IHD = 0 Hex-2-ene C6H12 IHD = 1 Hex-3-ene C6H12 IHD = 1 Cyclohexane C6H12 IHD = 1   2 22 rsyx IHD   How many double bonds/rings present Any double/triple bond/cyclic - number hydrogen atoms decrease How many H2 need to convert molecule to saturated/noncyclic IHD = 1 1 π bond or 1 ring structure IHD = 2 2 π bond / 1 π bond + 1 ring IHD = 3 3 π bond / 2 π bond + 1 ring / 1 π bond+ 2 ring Molecule with C and H Molecule with N, O, S or Halogen yx HC srqyx XNOHC C6H12 C2H2   1 2 )12262( 2 22      IHD IHD yx IHD or   2 2 )2222( 2 22      IHD IHD yx IHD (1 π bond / 1 ring) (2 π bond) C2H3CI C5H7N   1 2 )13222( 2 22      IHD IHD syx IHD   3 2 )17252( 2 22      IHD IHD ryx IHD H - C = C - CI ‫׀‬ ‫׀‬ H H (1 π bond) (3 π bond / 2 π bond + 1 ring) or H H H H H H ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ H - C - C = C – C – C – C – H ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ H H H H H H H H H H ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ H - C - C – C = C – C – C – H ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ H H H H H H H H H H ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ H - C - C = C – C – C – C – H ‫׀‬ ‫׀‬ ‫׀‬ ‫׀‬ H H H H Index Hydrogen Deficiency (IHD) = Degree unsaturation Saturatedhydrocarbon = CnH2n+2
  • 3. Molecule Index H2 Deficiency C2H2 2 Oxygen and Sulfur - No effect on IHD Halogen - like H – CHCI3 = CH4 , C2H5CI = C2H6 Nitrogen – add one to C and one to H - CH5N same IHD as C2H6 Index Hydrogen Deficiency (IHD) = Degree unsaturation How many double bonds/rings present Any double/triple bond/cyclic - number hydrogen atoms decrease Molecule with N, O, S or Halogen srqyx XNOHC   2 22 rsyx IHD   Click here IHD video   1 2 )4222( 2 22      yx IHD   2 2 )2222( 2 22      yx IHD   1 2 )4222( 2 22      yx IHD   0 2 )15222( 2 22      syx IHD   4 2 )6262( 2 22      yx IHD Molecule Index H2 Deficiency C2H4 1 Molecule Index H2 Deficiency C2H4O 1 Molecule Index H2 Deficiency C2H5CI 0 Molecule Index H2 Deficiency C6H6 4 Molecule Index H2 Deficiency C7H6O2 5   5 2 )6272( 2 22      yx IHD Molecule Index H2 Deficiency C7H9N2CI3 3   1 2 )19242( 2 22      ryx IHD Molecule Index H2 Deficiency C4H9N 1   3 2 )239272( 2 22      rsyx IHD Molecule Index H2 Deficiency C6H9NOCI2 2   2 2 )129262( 2 22      rsyx IHD Molecule Index H2 Deficiency C4H8CIF 0   0 2 )28242( 2 22      syx IHD Click here IHD (Khan Academy) Molecule Index H2 Deficiency C6H12O6 1   1 2 )12262( 2 22      yx IHD Halogen
  • 4. Click here spectroscopy database (NIST) Weighted average calculationRAM calculationVideo on IsotopesVideo on weighted average Relative Atomic Mass Weighted average mass- due to presence of isotopes RelativeIsotopic Mass, (Ar) of an element: •Relative isotopic mass = Average mass of one atom of element 1/12 x mass of one carbon-12 • Relative isotopic mass, carbon = 12.01 RAM = 12.01 Relative Abundance 13 Why RAM is not a whole number? Relative IsotopicMass: = (Mass 12 C x % Ab) + (Mass 13 C x % Ab) = (12 x 98.9/100)+ (13 x 1.07/100)= 12.01 Video on Isotopes 12 Isotopes are present CCC12.01 98.9% 1.07% Click here spectroscopy database (Ohio State)
  • 5. Mg - 3 Isotopes 24 Mg – (100/127.2) x 100% - 78.6% 25 Mg – (12.8/127.2)x 100% - 10.0% 26 Mg – (14.4/127.2)x 100% - 11.3% Relative Isotopic Mass: = (Mass 24 Mg x % Ab) + (Mass 25 Mg x % Ab) + (Mass 26 Mg x % Ab) = (24 x 78.6/100)+ (25 x 10.0/100) + (26 x 11.3/100) =24.30 Relative Abundance % Abundance Pb - 4 Isotopes 204Pb – (0.2/10) x 100% - 2% 206Pb – (2.4/10) x 100% - 24% 207Pb – (2.2/10) x 100% - 22% 208Pb – (5.2/10) x 100% - 52% Relative Isotopic Mass = (Mass 204Pb x % Ab) + (Mass 206Pb x % Ab) + (Mass 207Pb x % Ab) + (Mass 208Pb x % Ab) = (204 x 2/100) + (206 x 24/100) + (207 x 22/100)+ (208 x 52/100) = 207.20 Convert relative abundance to % abundance Convert relative abundance to % abundance Relative Abundance % Abundance RelativeIsotopic Mass 24 25 2624 25 26 MgMg
  • 6. Mass Spectrometer Uses mass spectrometer Presence of isotopes and its abundance Relative atomic mass of an element Relative Molecular mass of a molecule Structure of organic compound Distinguish bet structural isomers CH3CH2CH2OH OH | CH3CHCH3 CH3 | CH3C-CH3 | CH3 CO2 structural formula Organic structure determination 24 25 26Mg Mg
  • 7. Detail notes from chem msuClick here notes from chemguide Mass Spectrometer Parts of Mass Spectrometer Sample injection VaporizationChamber • Sample heat to vapour state IonizationChamber • Molecule bombard with electron form positive ion AcceleratorChamber • M+ ion acceleratedby Electric field Deflector • M+ ion deflected by magnetic field Detector • Convert amt M+ ion to current. • M+ ion neutralize by electron (more  e need -  higher current –  higher intensity of peak) • Intensity of peak show -relative abundanceof ion Sample X bombard by electron • Form positive M+ ion • Accelerated (Electric Field) • Deflected (Magnetic Field) and Detected X + e- → X+ + 2e- Vaporization Ionization Accelerator Deflector Detector321 54 2 1 3 4 5
  • 8. Click here for simulation Mass Spectrometer Parts of Mass Spectrometer Vaporization Ionization Accelerator Deflector Detector321 54 Vaporization Injection/ vaporization of sample liquid state  gaseous Ionization Form cation, M+ Acceleration M+ ion accelerate by Electric field Deflection M+ ion deflect by magnetic field Deflection depend: mass/charge (m/z) ratio: (m/z) ratio HIGH↑ - Deflection LOW↓ Deflection depend: mass/charge (m/z) ratio: (m/z) ratio LOW↓- Deflection HIGH ↑ 37 CI+ 35 CI+ 35 CI2+ 2 3 4 1 5 Detector • Convert abundance M+ ion to current. • M+ ion neutralize by electron (more  e need -  high current –  high intensity of peak) • Peak Intensity –relative abundance of ion
  • 9. Video Mass spectrometerVideo Ionization/fragmentation Video how MS works Excellent Online Spectra Database.Click here to view Mass Spectra Online Database 1 Search methane molecule, CH4 Video on mass spectrometer Mass/charge m/z Relative abundance Isotopic peak M+ + 1Molecular ion peak, M+ 2 Fragmentation pattern CH4 3 Mass Spectrum CH4 Video how MS works
  • 10. Mg - 3 Isotopes 26 Mg - 11.3% - m/z highest – deflect LEAST 25 Mg - 10.0% 24 Mg – 78.6% - m/z lowest – deflect MOST Relative Isotopic Mass: = (24 Mg x % Ab) + (25 Mg x % Ab) + (26 Mg x % Ab) = (24 x 78.6/100) + (25 x 10.0/100) + (26 x 11.3/100) = 24.30 Mass spectrometry to determine Relative Isotopic Mass Deflect MOST Deflect LEAST Pb - 4 Isotopes 208Pb – 52% - m/z highest – deflect LEAST 207Pb - 22% 206Pb - 24% 204Pb – 2% - m/z lowest – deflect MOST Relative Isotopic Mass = (204Pb x % Ab) + (206Pb x % Ab) + (207Pb x % Ab) + (208Pb x % Ab) = (204 x 2/100) + (206 x 24/100) + (207 x 22/100) + (208 x 52/100) = 207.20 Deflect MOST Deflect LEAST 24 Mg 26 Mg 204Pb 208Pb
  • 11. CI - 2 Isotopes 37 CI – 24.5% - m/z highest – deflect LEAST 35 CI – 75.5% - m/z lowest – deflect MOST Relative Isotopic Mass: = (35 CI x % Ab) + (37 CI x % Ab) = (35 x 75.5/100) + (37 x 24.5/100) = 35.5 Deflect MOST Deflect LEAST Br - 2 Isotopes 81Br – 49.3% - m/z highest – deflect LEAST 79Br – 50.6% - m/z lowest – deflect MOST Deflect MOST Deflect LEAST 35CI 37CI Relative Isotopic Mass: = (79 Br x % Ab) + (81 Br x % Ab) = (79 x 50.6/100) + (81 x 49.3/100) = 79.9 79Br 81Br Mass spectrometry to determine Relative Isotopic Mass 35 CI 37 CI 79Br 81Br
  • 12. H - 3 Isotopes 3H – trace amt 2H – 0.015% - m/z highest – deflect LEAST 1H – 99.9% - m/z lowest – deflect MOST Relative Isotopic Mass: = (1 H x % Ab) + (2 H x % Ab) = (1 x 99.9/100) + (2 x 0.015/100) = 1.007 Deflect MOST Deflect LEAST C - 3 Isotopes 14C- trace amt 13C – 1.1% - m/z highest – deflect LEAST 12C – 98.9% - m/z lowest – deflect MOST Deflect MOST Deflect LEAST 1H 2H Relative Isotopic Mass: = (12 C x % Ab) + (813 Cx % Ab) = (12 x 98.9/100) + (13 x 1.1/100) = 12.01 12C 13C 3H 14C Mass spectrometry to determine Relative Isotopic Mass 1H 2H 12C 13C
  • 13. Ionization and Fragmentation Ionization forming M+ CH3CH2CH2 : CH3 + e → CH3CH2CH2 + .CH3 + 2e • Fragmentation of M+ producing 43 CH3CH2CH2 + ·CH3 → CH3CH2CH2 + + ·CH3 • Fragmentation of M+ producing 15 CH3CH2CH2 + ·CH3 → CH3CH2CH2· + + CH3 Ionization and Fragmentation Process- CH3CH2CH2CH3 Ionization Process - CH3CH2CH2CH3 • Bombard by electron form cation • Molecular ion, M+ = 58 • (CH3CH2CH2CH3)+ = 58 Fragmentation Process CH3CH2CH2CH3 • Molecular ion, M+ undergo fragmentation • Cation and Radical form • Cation - Detected • Radical –Not detected (No charged) H H ‫׀‬ ‫׀‬ CH3CH2CH2 C:H + e → CH3CH2CH2C+.H + 2e ‫׀‬ ‫׀‬ H H Ionization forming M+ CH3CH2:CH2CH3 + e → CH3CH2 +·CH2CH3 + 2e • Fragmentation of M+ producing29 CH3CH2 +·CH2CH3 → CH3CH2 + + .CH2CH3 Ionization M+ , m/z = 58 CH3CH2CH2CH3 + e → CH3CH2CH2CH3 + + 2e Ionization and Fragmentation of M+ • Form - m/z = 58, 43 and 15 m/z = 58 m/z = 43 m/z = 15 Ionization and Fragmentation of M+ • Form- m/z = 58 and 29 m/z = 58 m/z = 58 m/z = 29 Unpair electronPositively charged Will ACCELARATED NOT move cation radical
  • 14. CH3CH2CH2CH3 CH3CH2CH2CH3 +- 58 - m/z highest –deflect LEAST CH3CH2CH2 + – 43 CH3CH2 + – 29 CH3 + –15 - m/z lowest– deflect MOST Ionization/ Fragmentationpattern CH3CH2CH2CH3 Deflect MOST Deflect LEAST CH3CH2CH2CH3 + CH3CH2CH2 + ionization CH3 + Ionization and FragmentationProcess Fragmentation Ionization CH3CH2CH2CH3 CH3CH2CH2CH3 + e → CH3CH2CH2CH3 + + 2e → 58 or CH3CH2:CH2CH3 + e → CH3CH2 +·CH2CH3 + 2e → 58 Mass spectrum CH3CH2CH2CH3IonizationCH3CH2CH2CH3 CH3CH2 + Fragmentation of M+ CH3CH2CH2 + ·CH3 → CH3CH2CH2 + - 43 CH3CH2 +·CH2CH3 → CH3CH2 + – 29 CH3CH2CH2 + ·CH3 → +CH3 - 15 CH3CH2CH2CH3 +- 58 CH3CH2CH2 + – 43 CH3CH2 + – 29 CH3 + – 15 CH3 + CH3CH2CH2CH3 +
  • 15. CH3CH2CH2OH CH3CH2CH2OH+- 60 - m/z highest –deflect LEAST CH2CH2OH+ – 45 CH2OH+ - 31 CH3CH2 + – 29 CH3 + –15 - m/z lowest– deflect MOST Ionization/ Fragmentation pattern CH3CH2CH2OH Deflect MOST Deflect LEAST CH3CH2CH2OH+ ionization CH3 + Fragmentation Ionization CH3CH2CH2OH CH3CH2CH2OH + e → CH3CH2CH2OH+ + 2e → 60 or CH3CH2CH2OH + e → CH3CH2 +. CH2OH + 2e → 60 Mass spectrum CH3CH2CH2OHCH3CH2CH2OH CH3CH2 + Fragmentation of M+ CH3 +.CH2CH2OH → +CH2CH2OH - 45 CH3CH2 +·CH2OH → +CH2OH – 31 CH3CH2 +·CH2OH → CH3CH2 + – 29 CH3 +.CH2CH2OH → +CH3 - 15 CH2CH2OH+ CH2OH+ 15 60 CH3CH2CH2OH+- 60 CH2CH2OH+ – 45 CH2OH+ - 31 CH3CH2 + – 29 CH3 + – 15 15 60 Ionization and FragmentationProcess Ionization CH3 + CH3CH2CH2OH+
  • 16. CH3CH(CH3)CH2CH3 +- 72 - m/z highest –deflect LEAST CH3CH(CH3)CH2 + – 57 CH3CH(CH3)+ - 43 CH3CH2 + – 29 CH3 + –15 - m/z lowest– deflect MOST Ionization/ Fragmentation pattern CH3CH(CH3)CH2CH3 Deflect MOST Deflect LEAST CH3CH(CH3)CH2CH3 + Ionization CH3 + Fragmentation Ionization of CH3CH(CH3)CH2CH3 CH3CH(CH3)CH2CH3 + e → CH3CH(CH3)CH2CH3 + + 2e → 72 or CH3CH(CH3)CH2CH3 + e → CH3CH(CH3)CH2 +.CH3 +2e → 72 or CH3CH(CH3)CH2CH3 + e → CH3CH(CH3)+.CH2CH3 + 2e → 72 Mass spectrum CH3CH(CH3)CH2CH3IonizationCH3CH(CH3)CH2CH3 Fragmentation of M+ CH3CH(CH3)CH2 + - 57 CH3CH(CH3)+ – 43 CH3CH2 + – 29 CH3 + - 15 CH3CH(CH3)+ 15 CH3CH(CH3)CH2 + CH3CH(CH3)CH2CH3 + CH3CH2 + CH3CH(CH3)CH2CH3 +- 72 CH3CH(CH3)CH2 + – 57 CH3CH(CH3)+ - 43 CH3CH2 + – 29 CH3 + – 15 Ionization and FragmentationProcess CH3 + CH3CH(CH3)CH2CH3 +
  • 17. (C(CH3)4)+ - 72 - m/z highest –deflect LEAST (C(CH3)3)+ – 57 (C(CH3)2)+ - 42 (C(CH3))+ – 27 CH3 + –15 - m/z lowest - deflect MOST Ionization/ Fragmentation pattern C(CH3)4 Deflect MOST Deflect LEAST Ionization Fragmentation Ionization of C(CH3)4 C(CH3)4 + e → (C(CH3)4)+ +2e → 72 Mass spectrum C(CH3)4IonizationC(CH3)4 (C(CH3)3)+ (C(CH3)4) (C(CH3)2)+ (C(CH3))+ (C(CH3)4)+ - 72 (C(CH3)3)+ – 57 (C(CH3)2)+ - 42 (C(CH3))+ – 27 CH3 + –15 Fragmentation M+ (C(CH3)3)+ – 57 (C(CH3)2)+ - 42 (C(CH3))+ – 27 CH3 + –15 Ionization and FragmentationProcess CH3 + (C(CH3)4)+ CH3 ‫׀‬ CH3-C-CH3 ‫׀‬ CH3
  • 18. Ionization/ Fragmentation pattern CH3(CH2)8CH3 Ionization Fragmentation Ionization of CH3(CH2)8CH3 CH3(CH2)8CH3 + e → CH3(CH2)8CH3 + + 2e → 142 Mass spectrum CH3(CH2)8CH3Ionization CH3(CH2)8CH3 CH3(CH2)8CH3 + CH3(CH2)8CH3 + = 142 - m/z highest – deflect LEAST CH3(CH2)7CH2 + = 127 CH3(CH2)6CH2 + = 113 CH3(CH2)5CH2 + = 99 CH3(CH2)4CH2 + = 85 CH3(CH2)3CH3 + = 71 CH3(CH2)2CH2 + = 57 CH3CH2CH2 + = 43 CH3CH2 + = 29 CH3 + = 15 – m/z lowest – deflect MOST Loss of methylene gp, CH2 = 14 CH3(CH2)8CH3 CH3(CH2)7CH2 + = 127 CH3(CH2)6CH2 + = 113 CH3(CH2)5CH2 + = 99 CH3(CH2)4CH2 + = 85 CH3(CH2)3CH3 + = 71 CH3(CH2)2CH2 + = 57 CH3CH2CH2 + = 43 CH3CH2 + = 29 CH3 + = 15 Deflect LEAST CH3 + Deflect MOST CH3(CH2)8CH3 + Ionization and FragmentationProcess 15
  • 19. Ionization/ Fragmentation pattern CH3(CH2)8CH3 Ionization Fragmentation Ionization of C6H5CH2OH C6H5CH2OH+e → C6H5CH2OH+ + 2e → 108 Mass spectrum CH3(CH2)8CH3Ionization C6H5CH2OH+ = 108 - m/z highest – deflect LEAST C6H5CH2 + = 91 C6H5 + = 77 CH2OH+ = 31 OH+ = 17 – m/z lowest – deflect MOST C6H5CH2OH C6H5CH2OH+ C6H5CH2OH C6H5CH2OH+ C6H5CH2 + = 91 C6H5 + = 77 CH2OH+ = 31 OH+ = 17 C6H5CH2OH+ = 108 C6H5CH2 + = 91 C6H5 + = 77 CH2OH+ = 31 OH+ = 17 OH+ Deflect MOST Deflect LEAST Ionization and FragmentationProcess
  • 20. Isomers, Propan-1-ol vs Propan-2-ol Peak 45 is higher • Loss of methyl radical at both sides produce (CH3CH(OH))+ • No m/z= 29 peak detected – No CH2CH3 found ! Fragmentationpeak (M - 15)+ = 45 -> (CH2CH2OH)+ (M - 29)+ = 31 -> (CH2OH)+ (M - 31)+ = 29 -> (CH3CH2)+ (M - 45)+ = 15 -> (CH3)+ Isomers of C3H8OH Fragmentationpeaks (M - 15)+ = 45 -> (CH3CH(OH))+ (M - 17)+ = 43 -> (CH3CHCH3)+ (M - 33)+ = 27 -> (CH3C)+ Vs Loss of CH3 Loss of CH3CH2 Loss of CH2OH Loss of CH2CH2OH Loss CH3 OH OH ‫׀‬ ‫׀‬ CH3 C+·CH3 → CH3 C+ + ·CH3 ‫׀‬‫׀‬ H H m/z= 45 CH3CH2CH2OH OH | CH3CHCH3 Loss OH Loss OH, CH3, H Peak 29 and 31 are found • Inductive effect of OH cause splitting of CH3CH2-|-CH2OH • m/z = 29 peak detected – CH2CH3 present CH3CH2 + · CH2OH → CH3CH2 + + ·CH2OH m/z= 29 CH3CH2 + · CH2OH → CH3CH2 · + + CH2OH m/z= 31 Propan-1-ol Propan-2-ol 15 Vs Molecular Ion, M+ = 60 -> CH3CH2CH2OH+ Molecular Ion, M+ = 60 -> CH3CH(OH)CH3 +
  • 21. Isomers, 2 methylbutanevs 2, 2 dimethylpropane CH3 ‫׀‬ CH3CHCH2CH3 CH3 | CH3C-CH3 | CH3 Peak 29 absent • No CH3CH2 Peak 57 is higher • Loss of methyl radical produce tertiary carbocation • Tertiary carbocation – More stable Fragmentationpeaks (M - 15)+ = 57 -> CH3CH(CH3)CH2 + (M - 29)+ = 43 -> CH3CH(CH3)+ (M - 43)+ = 29 -> CH3CH2 + (M - 57)+ = 15 -> CH3 + Isomers of C5H12 Fragmentationpeaks (M - 15)+ = 57 -> C(CH3)3 + (M - 30)+ = 42 -> C(CH3)2 + (M - 45)+ = 27 -> CH3C+ (M - 57)+ = 15 -> CH3 + Vs Loss of CH3 Loss of CH3CH2 Loss of CH3CH(CH3) Loss of CH3CH(CH3)CH2 Loss of CH3 Loss of TWO CH3 Loss of THREE CH3 CH3 ‫׀‬ CH3C+·CH3 ‫׀‬ CH3 m/z= 57 CH3 ‫׀‬ CH3 C+ + ·CH3 ‫׀‬ CH3 2 methylbutane 2, 2 dimethylpropane Loss of C(CH3)3 Vs Peak 29 absent • CH3CH2 present Molecular Ion, M+ = 72 -> CH3CH(CH3)CH2CH3 + Molecular Ion, M+ = 72 -> C(CH3)4 +
  • 22. Normal Vs High ResolutionMass spectrometer Normal Mass Spectrometer • Molecular formula by adding all RAM • RMM for molecule = Sum of all RAM • RMM O2 = 16 + 16 = 32 • RMM N2H4 = (14 x 2) + (1 x 4) = 32 • RMM CH3OH = (12 + 3 + 16 + 1) = 32 • Molecular ion peak - O2, N2H4, CH3OH - SAME = 32 RAM, O = 16 RAM, N = 14 RAM, H = 1 RAM, C = 12 High ResolutionMass Spectrometer Measure RMM to 4/5 decimalplaces • Molecular formula by adding all RAM • RMM for molecule = Sum of all RAM • RMM O2 = 15.9949 + 15.9949 = 31.9898 • RMM N2H4 = (14.0031 x 2) + (1.0078 x 4) = 32.0375 • RMM CH3OH = (12.0000 )+ (3 x 1.0078) + 15.9949 = 32.0262 • Molecular ion peak- O2, N2H4, CH3OH is the NOT the same RAM, O = 15.9949 RAM, N = 14.0031 RAM, H = 1.0078 RAM, C = 12.0000 Vs Vs O2, N2H4, CH3OH Same 32 O2 N2H4 CH3OH different Video how MS works High resolution Mass spectrum
  • 23. 37CI+ 35CI+ CI2 molecule 37CI-37CI - 74 - m/z highest – deflect LEAST 35CI-37CI –72 35CI-35CI –70 37CI –37 35CI –35 - m/z lowest– deflect MOST Ionization/ Fragmentation pattern CI2 Deflect MOST Deflect LEAST 35CI-35CI+ 35CI+ 35CI-37CI+ 37CI-37CI+ Ionization 37CI+ 37CI-37CI+ Fragmentation Fragmentation of CI2 + into CI+ CI+ .CI → [35 CI+ + 35 CI·] + 2e – 35 CI+ .CI → [37 CI+ + 37 CI·] + 2e –37 Ionization of CI2 to CI2 + CI:CI + e- →[35 CI+ .35 CI] + 2e – 70 CI:CI + e- →[35 CI+ .37 CI] + 2e – 72 CI:CI + e- →[37 CI+ .37 CI] + 2e – 74 m/z = 37 m/z = 35 Ratio (35 CI : 37 CI) - 3:1 Mass spectrum CI2 / CI atom Ratio (35 CI35 CI: 35 CI37 CI: 37 CI37 CI) - 9:6:1 IonizationCI2 molecule 37CI-37CI - 74 35CI-37CI – 72 35CI-35CI – 70 37CI – 37 35CI – 35 Ionization and FragmentationProcess
  • 24. Br2 molecule 81Br-81Br - 162 - m/z highest – deflect LEAST 79Br-81Br –160 79Br-79Br –158 81Br –81 79Br –79 - m/z lowest– deflect MOST Deflect MOST Deflect LEAST 79Br-79Br+ 79Br+ 79Br-81Br+ 81Br-81Br+ Ionization 81Br+ 79Br+ 81Br-81Br+ Fragmentation Fragmentation of Br2 + to Br+ Br+ .Br → [81 Br+ + 81 Br·] – 81 Br+ .Br →[79 Br+ + 79 Br·] – 79 Ionization of Br2 to Br2 + Br:Br + e- →[81 Br+ .81 Br] + 2e – 162 Br:Br + e- →[79 Br+ .81 Br] + 2e – 160 Br:Br + e- →[79 Br+ .79 Br] + 2e – 158 m/z = 79 m/z = 81 Ratio (79 Br : 81 Br) - 1:1 Mass spectrum Br2 / Br atoms Ratio (79 Br79 Br: 79 Br81 Br: 81 Br81 Br) – 1:2:1 IonizationBr2 molecule 81Br-81Br - 162 79Br-81Br –160 79Br-79Br –158 81Br – 81 79Br – 79 Ionization/ Fragmentation pattern Br2 Ionization and FragmentationProcess
  • 25. Ionization/ Fragmentationpattern CH3CH(CI)CH3 Ionization Ionization Ionization CH3CH(CI)CH3 CH3CH(CI)CH3+e → CH3CH(CI)CH3 + + 2e → 78/80 Presence isotope 35CI and 37CI CH3CH(37CI)CH3 + = 80 - m/z highest – deflect LEAST CH3CH(35CI)CH3 + = 78 CH3CH(37CI)+ = 65 CH3CH(35CI)+ = 63 CH3CHCH3 + = 43 CH3C+ = 27 - m/z lowest – deflect MOST CH3CH(37CI)+ =65 CH3CH(35CI)+ = 63 CH3CHCH3 + = 43 CH3C+ = 27 CH3CH(CI)CH3 CH3CH(CI)CH3 + CH3CH(CI)CH3 + Isotopic peak (M+)= 78 Isotopic peak (M++2) = 80 CH3CH(35CI)CH3 CH3CH(37CI)CH3 Isotopic peak 63 Isotopic peak 65 CH3CH(35CI)+ CH3CH(37CI)+ CH3CH(CI)CH3 Fragmentation CH3C+ Deflect MOST Deflect LEAST Presence M+ and (M+ + 2) peak Presence of Isotopes Ionization and FragmentationProcess
  • 26. CH3CH2CH2 79Br CH3CH2CH2 81BrCH2CH2 79Br CH2CH2 81Br Ionization/ Fragmentationpattern CH3CH2CH3Br Ionization Ionization Ionization CH3CH2CH2Br CH3CH2CH2Br+e → CH3CH2CH2Br+ + 2e → 122/124 Presence isotope 79Br and 81Br CH3CH2CH2 81Br+ = 124 - m/z highest – deflect LEAST CH3CH2CH2 79Br+ = 122 CH2CH2 81Br+ = 109 CH2CH2 79Br+ = 107 CH2 81Br+ = 95 CH2 79Br+ = 93 CH3CH2CH2 + = 43 CH3C+ = 27 - m/z lowest – deflect MOST Isotopic peak (M+) = 122 Isotopic peak (M++2) = 124 Isotopic peak 107 Isotopic peak 109 Fragmentation CH3C+ Deflect MOST Deflect LEAST CH3CH2CH2Br CH3CH2CH2Br+ CH3CH2CH3Br CH3CH2CH2Br+ CH2CH2 81Br+ =109 CH2CH2 79Br+ =107 CH2 81Br+ = 95 CH2 79Br+ = 93 CH3CH2CH2 + =43 CH3C+ = 27 CH3C+ Deflect LEAST CH3CH2CH2Br+ Presence of M+ and (M+ + 2) peak Presence of Isotopes Deflect MOST Ionization and FragmentationProcess
  • 27. TI IB Questions on Mass Spectrometer Mass spectrometerused to investigateisotopiccompositionof elements. Thallium has two isotopes. 1) State symbol of two singly chargedionsform. 2) State which ion will follow path marked X on diagram. lighter-> DEFLECTED MORE 3) Doublychargedions form. Suggestreason whetherthey wouldbe deflectedless or more than ions at X and Y. DEFLECTED MORE. Cause deflectiondependson m/z ratio. Low Mass + High charge -> m/z ratio is low -> deflectedmore. Naturally occuringboronhas 2 isotopes.RAM boronis 10.81. % abundance x% (100 – x)% Determinepercentageabundanceof these isotopes. Answer:Let % abundancebe x. 1 TI TI 203 205 81 81 X = B10 B11 Relative Isotopic Mass: = (Mass 10 B x % Ab) + (Mass 11 B x % Ab) = (10 x x/100) + (11 x (100 – x)/100) = 10.81 X = 19% TI+ 81 203 TI+205 81 TI+ 203 81
  • 28. IB Questions on Mass Spectrometer Germaniumis analysedin mass spec. The first and last processesare vaporizationand detection. 1) State the namesof other 3 processesin order in which they occur Answer:Ionization-> Acceleration-> Deflection 2) For each of processesnamed in a (i), outlinehow processoccur Ionization-> Sample bombardedwith highenergy/highspeed electrons Acceleration-> Cations (+ve chargedions) acceleratedby an electricfield Deflection-> Cations deflectedby a magneticfield 3) Germaniumfoundto have followingcomposition i)Definerelativeatomic mass. Average/ weightedmasses of all isotopesof an element. ii) CalculateRAM, givinganswer to two decimal places. 2 RelativeIsotopicMass = (Mass 70Ge x % Ab) + (Mass 72Ge x % Ab) + (Mass 74Ge x % Ab) + (Mass 76Ge x % Ab) = (70 x 22.60/100)+ (72 x 25.45/100)+ (74 x 36.73/100)+ (76 x 15.22/100)= 72.89
  • 29. IB Questions on Mass Spectrometer Showsa mass spectrometer. 1)Identifythe parts labelledA, B and C. 2)State and explainwhich one will undergogreatest deflection. Answer : Greatestdeflection-> lowest mass + highestcharged -> m/z -> lowest 3) Mass spectrumshown below: i) Explainwhy thereis more than one peak. Existence of isotopes ii) Calculate RAM. 3 Relative Isotopic Mass = (Mass 24Y x % Ab) + (Mass25Y x % Ab) + (Mass 26Yx % Ab) = (24 x 79/100)+ (25 x 10/100)+ (26 x 11/100) = 24.32 • electron gun • ionisation chamber • ionizer • Electric field • Charged plates • Potential difference • Magnetic field • Magnet • Electromagnet greatest deflection – low mass, high charged smallest deflection – high mass, low charged A C B Li+ Li2+ 7 6
  • 30. IB Questions on Mass Spectrometer Vaporizedmagnesiumis introducedintomass spec. One of the ionsthat reachesdetectorshown below. 1)Identifynumberof protons,neutronand electrons Answer: 12 protons,13 neutrons,11 electrons 2) State how ion is acceleratedin mass spectrometer. Using a strong electricfield/strongoppositechargedplate/potentialdifference 3) The ion is also detected by changingthe magnetic field. Deduceand explainby referenceto m/z valuesof these two ionsof magnesium,which of the ions and is detectedusing a stronger magneticfield. Answer: - due to lower charge -> m/z is higher-> deflectedless -> needsa strongermagneticfield to deflect. 4 Cations (+ve) acceleratedby (-ve) plates 25 12 25Mg 2+ smallest deflection – high mass, low charged Strong magnet/magnetic field to deflect it to bottom Mg + 25Mg 2+ 25Mg + 25Mg + 25Mg +
  • 31. Rubidiumcontainstwo stable isotopes.RAM for rubidiumis 85.47 1)Calculate % of each isotopein rubidium. Answer : Let % abundancebe x %. % Abundance x% (100 – x)% 76.5% 23.5% 2) Vaporizedsample is ionizedand accelerated.How the use of magneticfieldand detectorenablespercentageof two isotopesto be determined. 5 85 87 Relative Isotopic Mass: = (Mass 85 Rb x % Ab) + (Mass 87 Rb x % Ab) = (85 x x/100) + (87 x (100 – x)/100) = 85.47 X = 76.5% Rb Detector • Convert abundance M+ ions to current. • M+ ions neutralize by electrons (more  e needed -  higher current –  higher intensity of peak) •Ratio of intensity peaks show ratio of ions in sample •Ratio of height of peaks due to 85Rb : 87Rb –> 76.5 : 23.5 Magnetic field/Deflector • M+ ion deflected by magnetic field - lighter -> deflectedmore - heavier -> deflectedless IB Questions on Mass Spectrometer Rb Rb 85 Rb 87 Rb 85 Rb 87 Rb 85 Rb 87 Rb