This document provides an overview of molecular spectroscopy techniques, including rotational spectroscopy, vibrational spectroscopy, and absorption and emission spectroscopy. Rotational spectroscopy uses microwave spectroscopy to study the quantized rotational energy levels of molecules. Vibrational spectroscopy uses infrared spectroscopy to analyze the quantized vibrational energy levels of bonds as they stretch, bend, and vibrate. Absorption and emission spectroscopy examines how molecules absorb and emit photons during electronic transitions between energy levels.
NQR - DEFINITION - ELECTRIC FIELD GRADIENT - NUCLEAR QUADRUPOLE MOMENT - NUCLEAR QUADRUPOLE COUPLING CONSTANT - PRINCIPLE OF NQR - ENERGY OF INTERACTION - SELECTION RULE - FREQUENCY OF TRANSITION - APPLICATIONS
It contains the basic principle of Mossbauer Spectroscopy.
Recoil energy, Dopler shift.
The instrumentation of Mossbauer Spectroscopy.
Hyperfine interactions.
CONTENTS
INTRODUCTION
CONCEPTS OF WALSH DIAGRAM
APPLICATION IN TRIATOMIC MOLECULES
[IN AH₂ TYPE OF MOLECULES(BeH₂,BH₂,H₂O)]
INTRODUCTION
Arthur Donald Walsh FRS The introducer of walsh diagram (8 August 1916-23 April 1977) was a British chemist, professor of chemistry at the University of Dundee . He was elected FRS in 1964. He was educated at Loughborough Grammar School.
Walsh diagrams were first introduced in a series of ten papers in one issue of the Journal of the Chemical Society . Here, he aimed to rationalize the shapes adopted by polyatomic molecules in the ground state as well as in excited states, by applying theoretical contributions made by Mulliken .
NQR - DEFINITION - ELECTRIC FIELD GRADIENT - NUCLEAR QUADRUPOLE MOMENT - NUCLEAR QUADRUPOLE COUPLING CONSTANT - PRINCIPLE OF NQR - ENERGY OF INTERACTION - SELECTION RULE - FREQUENCY OF TRANSITION - APPLICATIONS
It contains the basic principle of Mossbauer Spectroscopy.
Recoil energy, Dopler shift.
The instrumentation of Mossbauer Spectroscopy.
Hyperfine interactions.
CONTENTS
INTRODUCTION
CONCEPTS OF WALSH DIAGRAM
APPLICATION IN TRIATOMIC MOLECULES
[IN AH₂ TYPE OF MOLECULES(BeH₂,BH₂,H₂O)]
INTRODUCTION
Arthur Donald Walsh FRS The introducer of walsh diagram (8 August 1916-23 April 1977) was a British chemist, professor of chemistry at the University of Dundee . He was elected FRS in 1964. He was educated at Loughborough Grammar School.
Walsh diagrams were first introduced in a series of ten papers in one issue of the Journal of the Chemical Society . Here, he aimed to rationalize the shapes adopted by polyatomic molecules in the ground state as well as in excited states, by applying theoretical contributions made by Mulliken .
The all the content in this profile is completed by the teachers, students as well as other health care peoples.
thank you, all the respected peoples, for giving the information to complete this presentation.
this information is free to use by anyone.
Photoelectron spectroscopy
- a single photon in/ electron out process
• X-ray Photoelectron Spectroscopy (XPS)
- using soft x-ray (200-2000 eV) radiation to
examine core-levels.
• Ultraviolet Photoelectron Spectroscopy (UPS)
- using vacuum UV (10-45 eV) radiation to
examine valence levels.
A ppt compiled by Yaseen Aziz Wani pursuing M.Sc Chemistry at University of Kashmir, J&K, India and Naveed Bashir Dar, a student of electrical engg. at NIT Srinagar.
Warm regards to Munnazir Bashir also for providing us with refreshing tea while we were compiling ppt.
For UG students of All Engineering Branches (Mechanical Engg., Chemical Engg., Instrumentation Engg., Food Technology) and PG students of Chemistry, Physics, Biochemistry, Pharmacy
The link of the video lecture at YouTube is
https://www.youtube.com/watch?v=t3QDG8ZIX-8
OES is the reference analysis technique for elemental analysis of solid metallic samples . that uses the light emitted of an excited element and (PMT) convert the light in an electrical signal. that can be read by the instrument computer and the software
The all the content in this profile is completed by the teachers, students as well as other health care peoples.
thank you, all the respected peoples, for giving the information to complete this presentation.
this information is free to use by anyone.
Photoelectron spectroscopy
- a single photon in/ electron out process
• X-ray Photoelectron Spectroscopy (XPS)
- using soft x-ray (200-2000 eV) radiation to
examine core-levels.
• Ultraviolet Photoelectron Spectroscopy (UPS)
- using vacuum UV (10-45 eV) radiation to
examine valence levels.
A ppt compiled by Yaseen Aziz Wani pursuing M.Sc Chemistry at University of Kashmir, J&K, India and Naveed Bashir Dar, a student of electrical engg. at NIT Srinagar.
Warm regards to Munnazir Bashir also for providing us with refreshing tea while we were compiling ppt.
For UG students of All Engineering Branches (Mechanical Engg., Chemical Engg., Instrumentation Engg., Food Technology) and PG students of Chemistry, Physics, Biochemistry, Pharmacy
The link of the video lecture at YouTube is
https://www.youtube.com/watch?v=t3QDG8ZIX-8
OES is the reference analysis technique for elemental analysis of solid metallic samples . that uses the light emitted of an excited element and (PMT) convert the light in an electrical signal. that can be read by the instrument computer and the software
An electron gun generates an electron beam that is interacting with a slow-wave structure.
It sustains the oscillations by propagating a traveling wave backwards against the beam
. The generated electromagnetic wave power has its group velocity directed oppositely to the direction of motion of the electrons.
The output power is coupled out near the electron gun.
ir spectroscopy: introduction modes of vibration, selection rule, factor, influcing of vibration, scaning of ir spectroscopy(instrumentation) vibration frequency of organic and inorganic compound
Describe the Schroedinger wavefunctions and energies of electrons in an atom leading to the 3 quantum numbers. These can be also observed in the line spectra of atoms.
Ohm's Law V = I x R (Volts = Current x Resistance). The Ohm (Ω) is a unit of electrical resistance equal to that of a conductor in which a current of one ampere is produced by a potential of one volt across its terminals. 1)Measurement of Low resistance: 1) Ammeter Voltmeter method: This is very popular method for measurement of medium resistances since ...
Ohm's Law V = I x R (Volts = Current x Resistance). The Ohm (Ω) is a unit of electrical resistance equal to that of a conductor in which a current of one ampere is produced by a potential of one volt across its terminals. 1)Measurement of Low resistance: 1) Ammeter Voltmeter method: This is very popular method for measurement of medium resistances since ...
The static characteristics are defined for the instruments which measure quantities which do not vary with time. ... The accuracy of a measurement indicates the nearness to the actual/true value of the quantity. 7. 2.Sensitivity Sensitivity is the ratio of change in output of an instrument to the change in input.
The inverse quantity is electrical conductance, and is the ease with which an electric current passes. Electrical resistance shares some conceptual parallels with the notion of mechanical friction. The SI unit of electrical resistance is the ohm (Ω), while electrical conductance is measured in siemens (S).
Explain about 3 Basic Types of Energy Meters? Watt hour meter or energy meter is an instrument which measures amount of electrical energy used by the consumers. ... Electromechanical induction type Energy meter.
The devise that is used for measurement of certain physical quantity is called as measuring instrument. This article discusses what the measuring instruments are, their types, functions of the measuring instruments and advantages and disadvantages of the analogue and digital ...
The Cathode Ray Oscilloscope is an instrument which we use in laboratory to display measure and analyze various waveforms of various electrical and electronic circuits. Actually cathode ray oscilloscope is very fast X-Y plotters that can display an input signal versus time or other signal.
Permanent Magnet Moving Coil Instrument. The permanent magnet moving coil instrument or PMMC type instrument uses two permanent magnets in order to create stationary magnetic field.
Welcome to WIPAC Monthly the magazine brought to you by the LinkedIn Group Water Industry Process Automation & Control.
In this month's edition, along with this month's industry news to celebrate the 13 years since the group was created we have articles including
A case study of the used of Advanced Process Control at the Wastewater Treatment works at Lleida in Spain
A look back on an article on smart wastewater networks in order to see how the industry has measured up in the interim around the adoption of Digital Transformation in the Water Industry.
COLLEGE BUS MANAGEMENT SYSTEM PROJECT REPORT.pdfKamal Acharya
The College Bus Management system is completely developed by Visual Basic .NET Version. The application is connect with most secured database language MS SQL Server. The application is develop by using best combination of front-end and back-end languages. The application is totally design like flat user interface. This flat user interface is more attractive user interface in 2017. The application is gives more important to the system functionality. The application is to manage the student’s details, driver’s details, bus details, bus route details, bus fees details and more. The application has only one unit for admin. The admin can manage the entire application. The admin can login into the application by using username and password of the admin. The application is develop for big and small colleges. It is more user friendly for non-computer person. Even they can easily learn how to manage the application within hours. The application is more secure by the admin. The system will give an effective output for the VB.Net and SQL Server given as input to the system. The compiled java program given as input to the system, after scanning the program will generate different reports. The application generates the report for users. The admin can view and download the report of the data. The application deliver the excel format reports. Because, excel formatted reports is very easy to understand the income and expense of the college bus. This application is mainly develop for windows operating system users. In 2017, 73% of people enterprises are using windows operating system. So the application will easily install for all the windows operating system users. The application-developed size is very low. The application consumes very low space in disk. Therefore, the user can allocate very minimum local disk space for this application.
About
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
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Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
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Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
• Remote control: Parallel or serial interface
• Compatible with MAFI CCR system
• Copatiable with IDM8000 CCR
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
Application
• Remote control: Parallel or serial interface.
• Compatible with MAFI CCR system.
• Compatible with IDM8000 CCR.
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
• Easy in configuration using DIP switches.
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)MdTanvirMahtab2
This presentation is about the working procedure of Shahjalal Fertilizer Company Limited (SFCL). A Govt. owned Company of Bangladesh Chemical Industries Corporation under Ministry of Industries.
Water scarcity is the lack of fresh water resources to meet the standard water demand. There are two type of water scarcity. One is physical. The other is economic water scarcity.
Final project report on grocery store management system..pdfKamal Acharya
In today’s fast-changing business environment, it’s extremely important to be able to respond to client needs in the most effective and timely manner. If your customers wish to see your business online and have instant access to your products or services.
Online Grocery Store is an e-commerce website, which retails various grocery products. This project allows viewing various products available enables registered users to purchase desired products instantly using Paytm, UPI payment processor (Instant Pay) and also can place order by using Cash on Delivery (Pay Later) option. This project provides an easy access to Administrators and Managers to view orders placed using Pay Later and Instant Pay options.
In order to develop an e-commerce website, a number of Technologies must be studied and understood. These include multi-tiered architecture, server and client-side scripting techniques, implementation technologies, programming language (such as PHP, HTML, CSS, JavaScript) and MySQL relational databases. This is a project with the objective to develop a basic website where a consumer is provided with a shopping cart website and also to know about the technologies used to develop such a website.
This document will discuss each of the underlying technologies to create and implement an e- commerce website.
Democratizing Fuzzing at Scale by Abhishek Aryaabh.arya
Presented at NUS: Fuzzing and Software Security Summer School 2024
This keynote talks about the democratization of fuzzing at scale, highlighting the collaboration between open source communities, academia, and industry to advance the field of fuzzing. It delves into the history of fuzzing, the development of scalable fuzzing platforms, and the empowerment of community-driven research. The talk will further discuss recent advancements leveraging AI/ML and offer insights into the future evolution of the fuzzing landscape.
Student information management system project report ii.pdfKamal Acharya
Our project explains about the student management. This project mainly explains the various actions related to student details. This project shows some ease in adding, editing and deleting the student details. It also provides a less time consuming process for viewing, adding, editing and deleting the marks of the students.
Vaccine management system project report documentation..pdfKamal Acharya
The Division of Vaccine and Immunization is facing increasing difficulty monitoring vaccines and other commodities distribution once they have been distributed from the national stores. With the introduction of new vaccines, more challenges have been anticipated with this additions posing serious threat to the already over strained vaccine supply chain system in Kenya.
Hybrid optimization of pumped hydro system and solar- Engr. Abdul-Azeez.pdffxintegritypublishin
Advancements in technology unveil a myriad of electrical and electronic breakthroughs geared towards efficiently harnessing limited resources to meet human energy demands. The optimization of hybrid solar PV panels and pumped hydro energy supply systems plays a pivotal role in utilizing natural resources effectively. This initiative not only benefits humanity but also fosters environmental sustainability. The study investigated the design optimization of these hybrid systems, focusing on understanding solar radiation patterns, identifying geographical influences on solar radiation, formulating a mathematical model for system optimization, and determining the optimal configuration of PV panels and pumped hydro storage. Through a comparative analysis approach and eight weeks of data collection, the study addressed key research questions related to solar radiation patterns and optimal system design. The findings highlighted regions with heightened solar radiation levels, showcasing substantial potential for power generation and emphasizing the system's efficiency. Optimizing system design significantly boosted power generation, promoted renewable energy utilization, and enhanced energy storage capacity. The study underscored the benefits of optimizing hybrid solar PV panels and pumped hydro energy supply systems for sustainable energy usage. Optimizing the design of solar PV panels and pumped hydro energy supply systems as examined across diverse climatic conditions in a developing country, not only enhances power generation but also improves the integration of renewable energy sources and boosts energy storage capacities, particularly beneficial for less economically prosperous regions. Additionally, the study provides valuable insights for advancing energy research in economically viable areas. Recommendations included conducting site-specific assessments, utilizing advanced modeling tools, implementing regular maintenance protocols, and enhancing communication among system components.
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1. Degrees of Freedom
Rotational Spectroscopy
Electronic Transitions
Vibrational Spectroscopy
microwave infrared
Interaction with matter Energy levels
Spectroscopy
Absorption Spectroscopy Emission Spectroscopy
2. Introduction to Matters
Rotational Spectroscopy
Vibrational Spectroscopy
Absorption and emission Spectroscopy
Lakowicz, “Principles of Fluorescence Spectroscopy”, Springer Publishers, 3rd Edition, 2011
Atkins, Physical Chemistry, 9th edition, 2009
Banwell & McCash, Fundamentals of Molecular Spectroscopy, 4th edition, 1996
Moog, Spencer and farrell, Physical Chemistry: A Guided Inquiry: Atoms, Molecules,
and Spectroscopy, 2003
3. • The sun produces a full spectrum of electromagnetic
radiation
http://csep10.phys.utk.edu/astr162/lect/light/spectrum.html
http://kr.blog.yahoo.com/bmw26z/2188
5. Two Components of EM
Radiation
• Electrical field (E): varies in magnitude in a direction
perpendicular to the direction of propagation
• Magnetic field (M): at right angle to the electrical
field, is propagated in phase with the electrical field
• Wavelength (l), distance from one wave crest to another
• Frequency (n), No. of crests passing a fixed point/ given time
• Amplitude, height of each peak (watts/sq. meter
• The speed of EM energy “c” 300,000km/second,
c = nl where l and n are inversely related
6. Interaction of radiation with matter
• If there are no available quantized energy levels matching the quantum
energy of the incident radiation, then the material will be transparent to that
radiation
Wavelength
7. Fate of molecule?
• Non-radiative transition: M* + M M + M + heat
• Spontaneous emission: M* M + hn (very fast for large
DE)
• Stimulated emission (opposite to stimulated absorption)
These factors contribute to linewidth & to lifetime of excited
state.
8. Molecular Motion and Spectroscopy
Study of Interaction of Matter and Light (Photon)
• Molecular Spectroscopy
Information about molecules such as geometry and energy
levels are obtained by the interaction of molecules and photons
• Molecular motions: Translation, Rotation, Vibration
determines the energy levels for the absorption or emission of
photons
9. Electronic, Vibrational, and Rotational Energy Levels of a
Diatomic Molecule
Exercise: Indicate the
molecular state in which it is
electronically in the ground
state, vibrationally in the first
excited state, and rotationally
in the ground state.
11. Microwave interactions
• Quantum energy of microwave photons (0.00001-0.001 eV) matches the ranges
of energies separating quantum states of molecular rotations and torsion
• Note that rotational motion of molecules is quantized, like electronic and
vibrational transitions associated absorption/emission lines
• Absorption of microwave radiation causes heating due to increased molecular
rotational activity
13. Types of Rigid Rotors
• A schematic illustration of the
classification of rigid rotors.
14. A diatomic molecule can rotate
around a vertical axis. The
rotational energy is quantized.
RIGID ROTOR
Figure 40-16 goes here.
15. THE RIGID ROTOR
A diatomic molecule may be thought of as two atoms held
together with a massless, rigid rod (rigid rotator model).
o
r1 | r2
m1 m2
o
• Consider a diatomic molecule with different atoms of mass
m1 and m2, whose distance from the center of mass are r1 and
r2 respectively
• The moment of inertia of the system about the center of
mass is:
I m1r1
2
m2r2
2
16. The Definition of Moment of
Inertia
• In this molecule
– three identical atoms
attached to the B atom
– three different but mutually
identical atoms attached to
the C atom.
• Centre of mass lies on the
C3 axis
• Perpendicular distances
are measured from the
axis passing through the B
and C atoms.
17. Rotational levels
)1(
2
22
2
2
22
JJ
h
L
momentumangularLwhere
I
LI
Er
• The classical expression for energy of rotation is :In the
harmonic oscillator model, the energy was all potential
energy. In the rigid rotor, it’s all kinetic energy:
•
• where J is the rotational quantum number
constantrotationalthe
8
)1()1(
22
1
)(
2
2
Ic
h
B
JJBchJJ
h
I
JE
n
n
18. Quantization of Rotational Energy
2
( )
8
h
B
cI
V = 0
cyclic boundary condition: Ψ(2π + θ) = Ψ(θ)
By solving Schrodinger equation for rotational motion
the rotational energy levels are
Rotational energy levels in wavenumber (cm-1)
20. The Gross Selection Rule for
Rotations
• A rotating polar
molecule looks like
an oscillating dipole
which can stir the
electromagnetic field
into oscillation.
• Classical origin of
the gross selection
rule for rotational
transitions.
21. /h hc n lD
1
1 ( )
1 ( )
j
j absorption
j emission
D
D
D
Rotational Spectroscopy
(1) Bohr postulate
(2) Selection Rule
22. Vibrational Motion: Molecular Calisthenics
Harmonic oscillator
( )eF k r r
141
2 10vib s
n
A molecule vibrates ~50 times
during a molecular day (one rotation)
23. Quantization of Vibrational Energy
By solving Schrodinger equation for vibrational motion,
Vibrational energy level
Zero point energy
Spacing between adjacent vibrational sates
where is a vibrational quantum number
24.
25.
26. ROTATIONAL SPECTRUM
Selection Rule: Apart from
Specific rule- DJ 1, Gross
rule- the molecule should have
a permanent electric dipole
moment, m . Thus, homonuclear
diatomic molecules do not have
a pure rotational spectrum.
Heteronuclear diatomic
molecules do have rotational
spectra
1
1 ( )
1 ( )
j
j absorption
j emission
D
D
D
27. Appearance of rotational spectrum We can calculate
the energy corresponding to rotational transitions
D E=EJ’ –EJ for
Or generally:
J J + 1 = B(J+1)(J+2) - BJ(J+1)
= 2B(J+1) cm-1
Microwave absorption lines should appear at
J = 0 J = 1 : = 2B - 0 = 2B cm-1
J = 1 J = 2 : = 4B cm-1
Note that the selection rule is DJ = 1, where +
applies to absorption and - to emission.
ν
1D initialfinal JJJ
ν
28. Relative Intensities of rotation spectral
lines
Now we understand the locations (positions)
of lines in the microwave spectrum, we can
see which lines are strongest.
J BJ(J+1)
J=0 0
Intensity depends upon two factors:
29. Intensity depends upon two factors:
1.Greater initial state population gives stronger spectral
lines.This population depends upon temperature, T.
k = Boltzmann’s constant, 1.380658 x 10-23 J
K-1
(k = R/N)
We conclude that the population is smaller for
higher J states.
kT
νhc
exp
kT
E
exp
N
N J
0
J
cmK1.52034
k
hc
T
ν1.52034
e
N
N
o
J
30. 2. Intensity also depends on degeneracy of initial
state.
(degeneracy = existence of 2 or more energy states having exactly
the same energy)
Each level J is (2J+1) degenerate
population is greater for higher J states.
To summarize: Total relative population at energy
EJ (2J+1) exp (-EJ / kT) & maximum population
occurs at nearest integral J value to :
Look at the values of NJ/N0 in the figure, .
31. Plot of population of rotational energy levels
versus value of J.
B = 10cm-1
max.
pop.
J0
Pop(2J+1)e(-BJ(J+1)hc/kT)
32. MCWE or Rotational Spectroscopy
Classification of molecules
• Based on moments of inertia, I=mr2
– IA IB IC very complex eg H2O
– IA = IB = IC no MCWE spectrum
eg CH4
– IA IB = IC complicated eg NH3
– IA = 0, IB = IC linear molecules eg NaCl
E
J J
I
J M JJ J
1
2
012 0 1
2
with also, , , , ,
34. Vibrational Spectra
Molecules are not Static
Vibration of bonds occurs in the liquid, solid and gaseous phase
Vibrating Energy Frequency (and the appropriate frequencies
for molecular vibrations are in the Infrared region of the
electromagnetic spectrum
Vibrations form therefore, a fundamental basis for spectroscopy in
chemistry--the bonds are what makes the chemistry work in structure
and function
For Organic Chemistry the most important uses of these vibrations is
for analysis of:
•functional groups
•structural identity, “fingerprinting”
35. What Kind of vibrations are These?
Bonds can…….
Stretch
Bend
Wag
(rock)
These can number into the
hundreds.
Some are symmetrical, some
antisymmetrical and many are
coupled across the molecule
Can be calculated. One easy
approximation is:
m
n
k12
103.5 -
´=
21
21
mm
mm
+
=m The “reduced mass” where m1, m2
are the masses on either side of
vibration
k is the “force constant”, like the
Hookes Law restoring force for a
spring. Known and tabulated for
different vibrations
37. A Functional Group Chart
O-H str
NH str
COO-H
=C-H str
Csp3-H
C-H
-(C=O)-H
CN
CC
C=O
-C=N
-C=C
phenyl
C-O
C-N
F C-X
4000 3600 3200 2800 2400 2000 1600 1200 800 group
Br
Cl
38. Regions of Frequencies
Near -to
visible- IR
(NIR)
Combination
bands
3.8 x 1014 to 1.2
x 1014
12800 to 4000 0.78 to 2.5
Mid Infrared
Fundmental
bands for
organic
molecules
1.2 x 1014 to 6.0
x 1012
4000 to 200 2.5 to 50
Far IR
Inorganics
organometallics
6.0 x 1012 to 3.0
x 1011
200 to 10 50 to 1000
Spectral Region Frequency(Hz) Wavenumber(cm-1) Wavelength (l,mm)
39. Looking at a Spectrum
Divide the spectrum in to two regions:
4000 cm-1 1600 cm-1 most of the stretching bands,
specific functional groups
(specific atom pairs). This is the
“functional group” region.
1600 cm-1 400 cm-1 Many band of mixed origin. Some
prominent bands are reliable. This
is the “fingerprint” region. Use
for comparison with literature
spectra.
Wavenumber is cm-1=104/l(m)
40. What kinds of Bonds Absorb in
which Regions?
Bending is easier than stretching-- happens at lower energy
(lower wavenumber)
Bond Order is reflected in ordering-- triple>double>single (energy)
with single bonds easier than double
easier than triple
Heavier atoms move slower than
lighter ones
The k in the frequency
equation is in mDyne/Å of
displacement
Single bond str 3-6 mD/Å
Double bond str. 10-12 mD/Å
Triple Bond 15-18 mD/Å
41. Effects of conjugation
Lowers to
1715 cm-1
Similar, to
1715 cm-1
Raises to
1770 cm-1
:
Weakens DB
character
Strengthens DB
character (inductive
over resonance)
42. Degrees of Freedom:
Translation, Rotation, and Vibration
Consider a single Ar atom moving in 3-D space:
- Moving motion is referred to as Translation
- To analyze the translation of an Ar, we need to know
position (x, y, z) and momentum (px, py, pz)
Where it is Where it is headed
- Each coordinate-momentum pair [for example, (x,px)] is
referred to as a Degree of Freedom (DF)
- An Ar atom moving through 3-D space has three DFs
N argon atoms possesses 3N DFs:
All translational DFs
43.
44.
45. Center of Mass (Balanced
Point)
- A point mass that can represent the
molecule
- Motion of the center of mass requires 3 DFs
to describe it
- In general, regardless of its size or
complexity, a molecule has 3 translational
DFs
- Thus, (3N – 3) DFs for the internal motions
of rotation and vibration
46. Rotational and vibrational
DFs
N atomic
Linear
Molecule
N atomic
Non-Linear
Molecule
Rotation 2 DFs 3 DFs
Vibration 3N – 5 3N - 6
49. The Vibrations of CO2.
• The stretching modes are not
independent, and if one CO
group is excited the other begins
to vibrate.
• The symmetric and
antisymmetric stretches are
independent, and one can be
excited without affecting the
other: they are normal modes.
• The two perpendicular bending
motions are also normal modes.
50. The Normal Modes of Water
• The three normal
modes of H2O. The
mode v2 is
predominantly
bending, and occurs
at lower
wavenumber than
the other two.
57. Beer’s law and mixtures
• Each analyte present in the solution absorbs light!
• The magnitude of the absorption depends on its
• A total = A1+A2+…+An
• A total = 1bc1+2bc2+…+nbcn
• If 1 = 2 = n then simultaneous determination is
impossible
• Need nl’s where ’s are different to solve the mixture
60. Introduction to Emission
• Luminescence: emission of photons from
electronically excited states of atoms,
molecules, and ions.
• Fluorescence: Average lifetime from <10—10
to 10—7 sec from singlet states.
• Phosphorescence: Average lifetime from 10—5
to >10+3 sec from triplet excited states.
61. Importance of Emission
Spectroscopy
• Sensitivity to local electrical environment
– polarity, hydrophobicity
• Track (bio-)chemical reactions
• Measure local friction (microviscosity)
• Track solvation dynamics
• Measure distances using molecular rulers:
fluorescence resonance energy transfer (FRET)
63. Principles
• Interaction of photons with molecules
results in promotion of valence electrons
from ground state orbitals to high energy
levels.
• The molecules are said to be in excited
state.
• Molecules in excited state do not remain
there long but spontaneously relax to more
stable ground state.
64. • The relaxation process is brought about by
collisional energy transfer to solvent or
other molecules in the solution.
• Some excited molecules however return to
the ground state by emitting the excess
energy as light.
• This process is called fluorescence.
66. In a laser….
Three key elements in a laser
•Pumping process prepares amplifying medium in suitable state
•Optical power increases on each pass through amplifying medium
•If gain exceeds loss, device will oscillate, generating a coherentoutput