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© S. Lievens January, 2012
University of California, Davis For use with UCD Chem 118 Series
1
Introduction to Spectroscopy I:
Infrared Spectroscopy
Basic Theory:
Covalent bonds exist as sharing of electrons between non-metal atoms.
These bonds act in many ways like springs with the atoms as weights that can
vibrate back and forth along the bond length or even wag off the bond axis.
These vibrations can be symmetrical, asymmetrical, they can stay in a plane or
twist out of a plane, and they can be between two bonded atoms or multiple
bonded atoms to give more complex harmonic oscillations.
symmetric stretch
stretching wagging asymmetric stretch
rocking scissoring wagging (out of plane) twisting (out of plane)
At ground state the atoms are at the lowest possible energy (with the
spring in a neutral state) and are at a particular distance aka bond length apart
(the length of the spring). If the bond absorbs energy the atoms can move a small
distance closer together or further apart as the bond (spring) compresses or
expands. The more energy that is absorbed the larger the compression and
expansion. If sufficient energy is absorbed the bond will break. Breaking bonds
generally requires absorption of ultraviolet light, but infrared is sufficient energy to
get bonds vibrating back and forth.
0
Energy
Distance between Nucleii
Bond
Energy
Bond Length
Excited
Vibration States lowest energy
(ground state)
vibration state - A
Atoms can move back and forth between bond
distances when there is sufficient energy. The higher
the energy the greater the degree of freedom.
vibration state - B
vibration state - C
Covalent Bond Diagram
pf3
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University of California, Davis For use with UCD Chem 118 Series

Introduction to Spectroscopy I:

Infrared Spectroscopy

Basic Theory:

Covalent bonds exist as sharing of electrons between non-metal atoms.

These bonds act in many ways like springs with the atoms as weights that can

vibrate back and forth along the bond length or even wag off the bond axis.

These vibrations can be symmetrical, asymmetrical, they can stay in a plane or

twist out of a plane, and they can be between two bonded atoms or multiple

bonded atoms to give more complex harmonic oscillations.

stretching wagging^ symmetric stretch asymmetric stretch rocking scissoring (^) wagging (out of plane) (^) twisting (out of plane)

At ground state the atoms are at the lowest possible energy (with the

spring in a neutral state) and are at a particular distance aka bond length apart

(the length of the spring). If the bond absorbs energy the atoms can move a small

distance closer together or further apart as the bond (spring) compresses or

expands. The more energy that is absorbed the larger the compression and

expansion. If sufficient energy is absorbed the bond will break. Breaking bonds

generally requires absorption of ultraviolet light, but infrared is sufficient energy to

get bonds vibrating back and forth.

En er gy Distance between Nucleii Bond Energy Bond Length Excited Vibration States l (ogwroeusnt^ de nsetartgey) vibration state - A Atoms can move back and forth between bond distances when there is sufficient energy. The higher the energy the greater the degree of freedom. vibration state - B vibration state - C Covalent Bond Diagram

University of California, Davis For use with UCD Chem 118 Series

In order to be visible by IR spectroscopy a vibration must show a change

in dipole, an N 2 stretch will not show up in the IR as the electrons are evenly

distributed, but a CO stretch will show up as there is an overall dipole and the

distance between the areas of positive and negative charge changes as the bond

compresses/expands.

The frequency of light absorbed will be the natural oscillation frequency of

the bond as it expands and contracts. The frequencies associated with IR

spectroscopy are the mid-range infrared (~2.5- 25 μm). IR absorptions are usually

measured in wavenumbers or inverse wavelength (υ = 1/λ), which have the units

of cm-^1 and the range of wavenumbers we observe for IR spectroscopy is 4000 to

400 cm

. Since the wavenumber of a vibration is the resonance frequency of the

oscillation of the bond, it follows Hookeʼs Law of elasticity: where c = speed of

light, k = spring constant/bond strength, m 1 = mass of atom 1, m 2 = mass of atom

2, and υ = the wavenumber of the associated frequency.

m 1 m 2

m 1 + m 2

k

2 !c

" = x

Hookeʼs Law shows that the stronger the bond (large k), the larger the

frequency, the shorter the wavelength and the larger the wavenumber associated

with that resonance frequency. Decreasing the mass of the atoms (small m) will

also give a larger resonance frequency, a shorter wavelength and a larger

associated wavenumber.

Key Points:

• IR spectroscopy measures the vibration of covalent bonds.

• IR spectroscopy is typically measured as percent transmittance with a

scale of wavenumbers decreasing from left to right.

• Frequencies of light that are associated with a particular molecular

vibration are absorbed and show a low percent transmittance.

• Frequencies of light that are not absorbed pass through the sample and

show 100% transmittance of the light.

• Resonance frequencies are associated with bond strength and atomic

mass therefore each particular kind of bond will have its own resonance

frequencies. O-H is different from C-H which is different from C-C orC=C.

• IR spectroscopy allows identification of bond type (functional groups), but

not number of bonds or relative positioning of functional groups.

University of California, Davis For use with UCD Chem 118 Series

Peak Shape and intensity:

Intensity is also a factor in interpreting IR spectra. Peaks may be strong

(low %T) or weak (high %T). A C=O is typically a strong absorption (low %T)

while C-H is weak to medium. If the C=O peak is weaker than the C-H peak it

may imply there are many C-H, while if the C-H peak is weak compared to other

peaks, it may imply that there are relatively few C-H bonds in the molecule. This

will not allow assignment of the exact structure, but can along with other

information help narrow the possibilities.

Peak shape can also be relevant to assignment of functional groups.

Peaks may be sharp (narrow) or broad. Some peaks (NH 2 groups) are doubled.

The exact peak shape can help differentiate between an alkyne C-H (a short,

sharp peak at 3300 cm-^1 ) and an alcohol O-H (a broad deep peak at 3300 cm-^1 )

or a carboxylic acid O-H (a very broad, shallower peak, at 3150 cm

). Alcohols

tend to be distinct from the alkyl C-H, while acids tend to blur into the alkyl C-H.

! (wavenumbers) cm-^1

C H

C H C C

(sharp)

T

ra

ns

m

itt

an

ce

! (wavenumbers) cm-^1

C H

T

ra

ns

m

itt

an

ce

O

H

! (wavenumbers) cm-^1

C H

T

ra

ns

m

itt

an

ce

O

C

O

O

O

H

O

C

H

O

C

(broad)

(broad)