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MPC102 PHYSICAL METHODS IN CHEMISTRY. Course: M. Phil (Chemistry) Unit: I – PowerPoint PPT presentation

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Title: MPC102


1
Course M. Phil (Chemistry)

Unit I
UV - VISIBLE SPECTROSCOPY
  • Syllabus
  • Electronic transition
  • Chromophores and Auxochromes
  • Factors influencing position and intensity of
    absorption bands
  • Effect of solvent on spectra
  • Absorption spectra of Dienes, Polyene ,
    Unsaturated carbonyl compounds
  • Woodward Fieser rules

MPC102 PHYSICAL METHODS IN CHEMISTRY
2
Electromagnetic Waves - Terminologies
Electromagnetic wave parameters Wavelength (?)
Wavelength is the distance between the
consecutive peaks or crests

2
3
Electromagnetic Waves - Terminologies
Electromagnetic wave parameters
Frequency (?) Frequency is the number of waves
passing through any point per second.
3
4
Electromagnetic Waves - Terminologies
Electromagnetic wave parameters Wave number (
) Wave number is the number of waves per cm.
Wavelength, Wave number and Frequency are
interrelated as,
4
5
Electromagnetic Spectral regions
nm
103 to 105
10-4 to 10-2
10-2 to 100
100 to 102
102 to 103
105 to 107
107 to 109
UV
X-rays
g-rays
IR
Radio
Microwave
EM waves
5
6
Electromagnetic Spectrum
6
7
The Electromagnetic wave lengths Some examples
7
8
Electromagnetic radiation sources
EM radiation Spectral method Radiation source
Gamma rays Gamma spec. gamma-emitting nuclides
X-rays X-ray spec. Synchrotron Radiation Source (SRS), Betatron (cyclotron)
Ultraviolet UV spec. Hydrogen discharge lamp
Visible Visible spec. tungsten filament lamp
Infrared IR spec. rare-earth oxides rod
Microwave ESR spec. klystron valve
Radio wave NMR spec. magnet of stable field strength
8
9
Electromagnetic Spectrum Type of radiation and
Energy change involved
9
10
Electromagnetic Spectrum Type of radiation and
Energy change involved
10
11
Electromagnetic Spectrum Type of radiation and
Energy change involved
12
Effect of electromagnetic radiations on chemical
substances
The absorption spectrum of an atom often contains
sharp and clear lines.
Absorption spectrum of an atom Hydrogen
Energy levels in atom Hydrogen
12
13
Effect of electromagnetic radiations on chemical
substances
But, the absorption spectrum of a molecule is
highly complicated with closely packed lines
This is due to the fact that molecules have
large number of energy levels and certain amount
of energy is required for transition between
these energy levels.
Absorption spectrum of a molecule Eg H2O
13
14
Effect of electromagnetic radiations on chemical
substances
The radiation energies absorbed by molecules may
produce Rotational, Vibrational and Electronic
transitions.
14
15
Effect of electromagnetic radiations on chemical
substances
Rotational transition
Microwave and far IR radiations bring about
changes in the rotational energies of the
molecule
Example Rotating HCl molecule
15
16
Effect of electromagnetic radiations on chemical
substances
Vibrational transition
Infrared radiations bring about changes in the
vibration modes (stretching, contracting and
bending) of covalent bonds in a molecule
Examples
Example Vibrating HCl molecule
17
Effect of electromagnetic radiations on chemical
substances
Electronic transition
UV and Visible radiations bring about changes in
the electronic transition of a molecule
Example Cl2 in ground and excited states
18
Effect of electromagnetic radiations on chemical
substances
Cl2 in Ground state
19
Effect of electromagnetic radiations on chemical
substances
Cl2 in Excited state
20
The Ultraviolet region 10 800nm
The Ultraviolet region may be divided as follows,
  1. Far (or Vacuum) Ultraviolet region 10 200 nm
  2. Near (or Quartz) Ultraviolet region 200 380
    nm
  3. Visible region 380 - 800 nm

21
The Ultraviolet region
Far (or Vacuum) Ultraviolet region 10 200nm
  • Electromagnetic spectral region from 100 200nm
    can be studied in evacuated system and this
    regions is termed as vacuum UV
  • The atmosphere absorbs the hazardous high energy
    UV lt200nm from sunlight
  • Excitation (and maximum separation) of ? -
    electrons occurs in 120 200nm

Near (or Quartz) Ultraviolet region 200 - 380nm
  • Electromagnetic spectral region from 200 380nm
    normally termed as Ultraviolet region
  • The atmosphere is transparent in this region and
    quartz optics may be used to scan from 200
    380nm
  • Excitation of p and d orbital electrons, ? -
    electrons and ? - conjugation (joining together)
    systems occurs in 200 380nm

Example for ? conjugation
Benzene
22
The Visible region
Visible region 380 800nm
  • Electromagnetic spectral region from 380 800nm
    is termed as visible region
  • The atmosphere absorbs the hazardous high energy
    UV lt200nm from sunlight
  • Excitation of ?-conjugation occurs in visible
    region 380 800nm
  • Conjugation of double bonds lowers the energy
    required for the transition and absorption
    will move to longer wavelength (i.e., to low
    energy)

23
VISIBLE region in Electromagnetic Spectrum
Violet 380 - 420 nm Indigo 420 - 440 nm Blue 440 - 490 nm Green 490 - 570 nm Yellow 570 - 585 nm Orange 585 - 620 nm Red 620 - 800 nm
Violet 380 - 420 nm Indigo 420 - 440 nm Blue 440 - 490 nm Green 490 - 570 nm Yellow 570 - 585 nm Orange 585 - 620 nm Red 620 - 800 nm
23
24
UV - VISIBLE SPECTROSCOPY
  • In UV - Visible Spectroscopy, the sample is
    irradiated with the broad spectrum of the UV -
    Visible radiation
  • If a particular electronic transition matches the
    energy of a certain band of UV - Visible, it will
    be absorbed
  • The remaining UV - Visible light passes through
    the sample and is observed
  • From this residual radiation a spectrum is
    obtained with gaps at these discrete energies
    this is called an absorption spectrum

24
25
Lamberts law
fraction of the monochromatic light absorbed by a
homogeneous medium is independent of the
intensity of the incident light and each
successive unit layer absorbs an equal fraction
of the light incident on it
26
BeerLambert law / BeerLambert Bouguer law /
Lambert Beer law
log (I0/I) ? c l A
Where, I0 - the intensity of incident light I
- the intensity of transmitted light ? - molar
absorptivity / molar extinction coefficient in
cm2 mol-1 or L mol-1 cm-1. c - concentration in
mol L-1 l - path length in cm A - absorbance
(unitless)
Molar absorptivity
26
27
Absorption intensity ?
wavelength of light corresponding to maximum
absorption is designated as ?max and can be read
directly from the horizontal axis of the
spectrum Absorbance (A) is the vertical axis of
the spectrum A log (I0/I) I0 - intensity of the
incident light I - intensity of transmitted light
?max
27
28
Generalizations Regarding ?max
If spectrum of compound shows, Absorption band of
very low intensity (?max 10-100) in the
270-350nm region, and no other absorptions above
200 nm, Then, the compound contains a simple,
nonconjugated chromophore containing n electrons.
The weak band is due to n ? ? transitions. If
the spectrum of a compound exhibits many bands,
some of which appear even in the visible region,
the compound is likely to contain long-chain
conjugated or polycyclic aromatic chromophore.
If the compound is colored, there may be at
least 4 to 5 conjugated chromophores and
auxochromes. Exceptions some nitro-, azo-,
diazo-, and nitroso-compounds will absorb visible
light.
29
Generalizations Regarding ?max
If ?max 10,000 - 20,000 generally a simple
?, ?-unsaturated ketone or diene If ?max 1,000
- 10,000 normally an aromatic system Substitution
on the aromatic nucleus by a functional group
which extends the length of the chromophore may
give bands with ?max gt 10,000 along with some
which still have?max lt 10,000. Bands with ?max
lt 100 represent n ? ? transitions.
molar absorptivities vary by orders of
magnitude values of 104-106 are termed high
intensity absorptions values of 103 -104 are
termed low intensity absorptions values of 0 to
103 are the absorptions of forbidden transitions
30
BeerLambert law / BeerLambert Bouguer law /
Lambert Beer law
30
31
Electronic Energy Levels
  • Absorption of UV - Visible radiation by an
    organic molecule leads to electronic excitation
    among various energy levels within the molecule.
  • Electron transitions generally occur in between a
    occupied bonding or lone pair orbital and an
    unoccupied non-bonding or antibonding orbital.
  • The energy difference between various energy
    levels, in most organic molecules, varies from 30
    to 150 kcal/mole

32
? Bonding and anti-bonding formation from s
atomic orbitals (Eg H2 molecule)
Bonding between two hydrogen atoms
One molecular orbital with 2 electrons
2 atomic orbitals of 2 hydrogen atoms
According to Molecular Orbital Theory
One antibonding orbital without electrons and two
nuclei
One bonding orbital with 2 electrons
2 atomic orbitals of 2 hydrogen atoms
33
? Bonding and anti-bonding formation from s
atomic orbitals (Eg H2 molecule)
According to Molecular Orbital Theory
Higher energy than original atomic orbitals and
bonding orbital - Because of repulsion
Lower energy than original atomic orbitals
2 atomic orbitals of 2 hydrogen atoms
Bonding orbitals are lower in energy than its
original (atoms) atomic orbitals. Because, energy
is released when the bonding orbital is formed,
i.e., hydrogen molecule is more energetically
stable than the original atoms. However, an
anti-bonding orbital is less energetically stable
than the original atoms. A bonding orbital is
stable because of the attractions between the
nuclei and the electrons. In an anti-bonding
orbital there are no equivalent attractions -
instead of attraction you get repulsions. There
is very little chance of finding the electrons
between the two nuclei - and in fact half-way
between the nuclei there is zero chance of
finding electrons. There is nothing to stop the
two nuclei from repelling each other apart. So in
the hydrogen case, both of the electrons go into
the bonding orbital, because that produces the
greatest stability - more stable than having
separate atoms, and a lot more stable than having
the electrons in the anti-bonding orbital.
34
? Bonding and anti-bonding formation from p
atomic orbitals
35
? Bonding and anti-bonding formation from p
atomic orbitals
36
Electronic Energy Levels
  • ? - orbitals are the lowest energy occupied
    molecular orbitals
  • ? - orbitals are the highest energy unoccupied
    molecular orbitals
  • ? - orbitals are of somewhat higher energy
    occupied molecular orbitals
  • ? - orbitals are lower in energy (unoccupied
    molecular orbitals) than ?
  • n - orbitals Unshared pairs (electrons) lie at
    the energy of the original atomic orbital.
  • Most often n - orbitals energy is higher
    than ? and ?.
  • since no bond is formed, there is no
    benefit in energy

37
Electronic Energy Levels
Graphically,
38
Electronic Transitions
  • The valence electrons in organic molecules are
    involved in bonding as ? - bonds, ? - bonds or
    present in the non-bonding form (lone pair)
  • Due to the absorption of UV - Visible radiation
    by an organic molecule different electronic
    transitions within the molecule occurs depending
    upon the nature of bonding.
  • The wavelength of UV - Visible radiation causing
    an electronic transition depends on the energy of
    bonding and antibonding orbitals.
  • The lowest energy transition is typically that of
    an electron in theHighest Occupied Molecular
    Orbital (HOMO) to the
    Lowest Unoccupied Molecular Orbital
    (LUMO)

39
Types of Electronic Transitions
Transition between bonding molecular orbitals and
anti-bonding molecular orbitals
40
Types of Electronic Transitions
Transition between bonding molecular orbitals and
anti-bonding molecular orbitals
  • ? ? ? transition requires large energies in far
    UV region in 120-200nm range.
  • Molar absorptivity Low?max 1000 - 10000

41
Types of Electronic Transitions
Transition between bonding molecular orbitals and
anti-bonding molecular orbitals
? ? ? (bonding ? to anti-bonding ?)
42
Types of Electronic Transitions
Transition between bonding molecular orbitals and
anti-bonding molecular orbitals
  • ? ? ? occur in 200-700nm range.
  • Molar absorptivity High
  • ?max 1000 - 10000.

43
Types of Electronic Transitions
Transition between bonding molecular orbitals and
anti-bonding molecular orbitals
? ? ? (bonding ? to anti-bonding ?)
44
Types of Electronic Transitions
Transition between bonding molecular orbitals and
anti-bonding molecular orbitals
  • ? ? ? occur only in lt150 nm range.
  • Molar absorptivity Low

45
Types of Electronic Transitions
Transition between non-bonding atomic orbitals
and anti-bonding molecular orbitals
They are of two types
n ? ? n ? ?
  • n ? ? occur in 200-700nm range.
  • Molar absorptivity Low
  • ?max 10 - 100
  • Examples
  • Compounds with double bonds involving unshared
    pair(s) of electrons
  • Aldehydes, Ketones
  • CO, CS, NO etc.,

46
Types of Electronic Transitions
Transition between non-bonding atomic orbitals
and anti-bonding molecular orbitals
n ? ? (non-bonding n to anti-bonding ?)
47
Types of Electronic Transitions
  • Spectra of aldehydes or ketones exhibit two
    bands
  • A High intense band at 200-250nm due to ? ? ?
  • A low intense band at 300nm due to n ? ?
    transition

Consequently, the probability of jump of an
electron from n ? ? orbital is very low and in
fact zero according to symmetry selection rules.
But, vibrations of atoms bring about a partial
overlap between the perpendicular planes and so
n ? ? transition does occur, but only to a
limited extent.
48
Types of Electronic Transitions
Transition between non-bonding atomic orbitals
and anti-bonding molecular orbitals
  • Excitation of an electron in an unshared pair on
    Nitrogen, oxygen, sulphur or halogens to an
    antibonding ? orbital is called n ? ?
    transitions.
  • n ? ? occur in 150-250nm range.
  • Molar absorptivity Low
  • ?max 100 - 3000

Example Methanol ?max 183nm (?
500) 1-Iodobutane ?max 257nm (?
486) Trimethylamine ?max 227nm (? 900)
49
Types of Electronic Transitions
Transition between non-bonding atomic orbitals
and anti-bonding molecular orbitals
n ? ? (non-bonding n to anti-bonding ?)
50
Types of Electronic Transitions
s (anti-bonding)
p (anti-bonding)
n (non-bonding)
p (bonding)
s (bonding)
Energy required for various transitions obey the
order ? ? ? gt n ? ? gt ? ? ?gt n ? ?
51
Types of Electronic Transitions
  • From the molecular orbital diagram it is clear
    that, In all compounds other than alkanes there
    are several possible electronic transitions that
    can occur with different energies.

s
alkanes carbonyls unsaturated compounds O, N,
S, halogens carbonyls
s s p n n
s p p s p
150 nm
p
170 nm
180 nm
Energy
n
If conjugated
190 nm
p
300 nm
s
51
52
Selection Rules
  • Not all transitions that are possible in UV
    region are not generally observed.
  • For an electron to transition, certain quantum
    mechanical constraints apply these are called
    selection rules.
  • The selection rules are,
  • Rule - 1The transitions which involve an change
    in the spin quantum number of an
    electron during the transition are not allowed to
    take place or these are
    forbidden.
  • Rule - 2 singlet triplet transitions are
    forbidden
  • Multiplicity of states (2S1) Where, S
    is total spin quantum number.
  • Singlet state have electron spin paired
  • Triplet state have two spins parallel
  • Here,
  • For excited singlet state S0 therefore, 2S11
    - transition allowed
  • For excited triplet state S1 therefore,
    2S13 - transition forbidden

52
53
Selection Rules
Rule - 3 Symmetry of electronic states n ? ?
transition in formaldehyde is
forbidden by local symmetry. i.e., Energy is
always a function of molecular
geometry.
In formaldehyde (H2CO), In n ? ? excited state
an electron arrives at the antibonding ? orbital,
while the electron pair in the bonding ? orbital
is still present. Due to the third antibonding ?
electron, the CO bond becomes weaker and longer.
In the ? ? ? excited configuration, the
situation is somewhat worse because there is only
one ? electron in the bonding orbital, while the
other ? electron is anti-bonding (i.e. ?).
Consequently, the excited state bond lengths
will be longer than a genuine CO double bond but
shorter than a ? -type single C-O bond. In
other words, these excited states will have their
energy minima somewhere in between that of H2CO
and H3C-OH.
  • To further complicate matters, forbidden
    transitions are sometimes observed (albeit at low
    intensity) due to other factors.

53
54
Franck and Condon Principle
  • Electronic transitions will take place only when
    the inter-nuclear distances are not significantly
    different in the two states and where the nuclei
    have little or no velocity.
  • Thus, the forbidden transitions may arise when
    the inter-nuclear distances are significantly
    different in the two states and where the nuclei
    have significant velocity.

FranckCondon principle is the approximation that
an electronic transition is most likely to occur
without changes in the positions of the nuclei in
the molecular entity and its environment.
54
55
Origin and General appearance of UV bands
  • Electronic spectra is a graphical output of
    transitions between electronic energy levels.
  • We know that, electronic transitions are
    accompanied by changes in both vibrational and
    rotational states.
  • The wavelength of absorption depends on the
    energy difference between bonding/antibonding and
    non-bonding orbitals concerned.
  • When gaseous sample is irradiated with UV -
    Visible light and the spectrum is recorded, a
    spectrum with number of closely spaced fine
    structure line is obtained.
  • When the electronic spectrum of a solution is
    recorded, a absorption band is obtained in which
    closely spaced fine lines are merging together
    due to the solvent-solute interaction.
  • Usually electronic absorption spectrums are
    broader bands than IR or NMR bands.

55
56
Designation of UV bands
  • The absorption bands in the UV - Visible spectrum
    may be designated either by using electronic
    transitions ? ? ?, ? ? ?, ? ? ?, n ? ?, n ?
    ? or the letter designation as given below.

56
57
Designation of UV bands
B and E - bands
  • The B and E bands are characteristic of the
    spectra of aromatic or heteroaromatic molecules.
  • Examples
  • All benzenoid compounds exhibit E and B bands
    representing ? ? ? transitions.
  • In benzene, E1 and E2 bands occur near 180nm and
    200nm respectively and their molar absorptivity
    varies between (?max 2000 to ?max 14000).
  • The B-band occurs in the region from 250nm to
    255nm as a broad band containing multiple fine
    structure and represents a symmetry-forbidden
    transition which has finite but low probability
    due to forbidden transitions in high symmetrical
    benzene molecule.
  • The vibrational fine structure appears only in
    the B-band and disappears frequently in the more
    polar solvents.

57
58
Chromophores
The coloured substances owe their colour to the
presence of one or more unsaturated groups
responsible for electronic absorption. These
groups are called chromophores. Examples C
C, CC, C N, CN, C O, N N,
etc.. Chromophores absorb intensely at the short
wavelength But, some of them (e.g, carbonyl)
have less intense bands at higher wavelength due
to the participation of n electrons.
Methyl orange
59
Chromophores examples
Chromophore Example Excitation ?max, nm e Solvent
CC Ethene ? __gt ? 171 15,000 hexane
CC 1-Hexyne ? __gt ? 180 10,000 hexane
CO Ethanal n __gt ?? __gt ? 290180 1510,000 hexanehexane
NO Nitromethane n __gt ?? __gt ? 275200 175,000 ethanolethanol
C-X XBrXI Methyl bromideMethyl Iodide n __gt sn __gt s 205255 200360 hexanehexane
60
Auxochromes
  • An auxochromes is an auxillary group which
    interact with chromophore and deepens colour its
    presence causes a shift in the UV or visible
    absorption maximum to a longer wavelength
  • Examples NH2, NHR and NR2, hydroxy and alkoxy
    groups.
  • Property of an auxochromic group
  • Provides additional opportunity for charge
    delocalization and thus provides smaller
    energy increments for transition to excited
    states.
  • The auxochromic groups have atleast one pair of
    non-bonding electrons (lone pair) that can
    interact with the ? electrons and stabilizes the
    ? state

61
Auxochromes examples
Auxochrome Unsubstitued chromophore ?max (nm) Substituted chromophore ?max (nm)
-CH3 H2CCH-CH CH2 217 H2CCH-CHCHCH3 224
-OR H3C-CHCH-COOH 204 H3C-C(OCH3) CHCOOH 234
-C1 H2CCH2 175 H2C CHCl 185
62
Bathochromic shift (Red shift) - ?max to longer
wavelength
Shift of an absorption maximum to longer
wavelength is called bathochromic shift. Occurs
due to change of medium (? ? ? transitions
undergo bathochromic shift with an increase in
the polarity of the solvent) OR when an
auxochrome is attached to a carbon-carbon double
bond Example Ethylene ?max
175nm 1-butene / isobutene ?max 188 nm The
bathochromic shift is progressive as the number
of alkyl groups increases.
63
Hypsochromic shift (Blue shift) - ?max to Shorter
wavelength
Shift of absorption maximum to shorter wavelength
is known as hypsochromic shift. Occurs due to
change of medium (n ? ? transitions undergo
hypsochromic shift with an increase in the
polarity of solvent) OR when an auxochrome is
attached to double bonds where n electrons (eg
CO) are available Example Acetone ?max
279nm in hexane ?max 264.5nm in water This
blue shift results from hydrogen bonding which
lowers the energy of the n orbital.
64
Hyperchromic effect - increased (?max) absorption
intensity
It is the effect leading to increased absorption
intensity Example intensities of primary and
secondary bands of phenol are increased in
phenolate
Compound Compound Primary band Primary band Secondary band Secondary band
Compound Compound ?max (nm) ?max ?max (nm) ?max
Phenol C6H5OH 210 6200 270 1450
Phenolate anion C6H5O- 235 9400 287 2600
65
Hypochromic effect - decreased (?max) absorption
intensity
It is the effect leading to decreased absorption
intensity Example intensities of primary and
secondary bands of benzoic acid are decreased in
benzoate
Compound Compound Primary band Primary band Secondary band Secondary band
Compound Compound ?max (nm) ?max ?max (nm) ?max
Benzoic acid C6H5COOH 230 11600 273 970
Benzoate C6H5COO- 224 8700 268 560
66
Effect of substituents on ?max and ?max
Graphically,
Shift to increased ?max
Shift to shorter ?max
Shift to Longer ?max
Shift to decreased ?max
67
Isosbestic point
A point common to all curves produced in the
spectra of a compound taken at various pH values
is called isosbestic point. If one absorbing
species, X, is converted to another absorbing
species, Y, in a chemical reaction, then the
characteristic behaviour shown in the figure
below is observed.
If the spectra of pure X and pure Y cross each
other at any wavelength, then every spectrum
recorded during this chemical reaction will cross
at the same point, called an isosbestic point.
The observation of an isosbestic point during a
chemical reaction is good evidence that only two
principal species are present.
The aniline-anilinium or phenol-phenolate
conversion as a function of pH can demonstrate
the presence of the two species in equilibrium by
the appearance of an isosbestic point in the UV
spectrum.
68
UV Spectroscopy (Electronic Spectra) -
Terminologies
Beer-Lambert Law A ?.c.l
Absorbance A, a measure of the amount of radiation that is absorbed
Molar absorptivity ?, absorbance of a sample of molar concentration in 1 cm cell.
Extinction coefficicent An alternative term for the molar absorptivity.
concentration c, concentration in moles / litre
Path length l, the length of the sample cell in cm.
?max The wavelength at maximum absorbance
?max The molar absorbance at ?max
Band Term to describe a uv-vis absorption which are typically broad.
HOMO Highest Occupied Molecular Orbital
LUMO Lowest Unoccupied Molecular Orbital
Chromophore Structural unit responsible for the absorption.
Auxochrome A group which extends the conjugation of a chromophore by sharing of nonbonding electrons
Bathochromic shift The shift of absorption to a longer wavelength.
Hypsochromic shift shift of absorption to a shorter wavelength
Hyperchromic effect An increase in absorption intensity
Hypochromic effect A decrease in absorption intensity
Isosbestic point point common to all curves produced in the spectra of a compound taken at various pH
69
Instrumentation
log(I0/I) A
I0
I1
UV-VIS sources
sample
200
700
l, nm
I
detector
monochromator/ beam splitter optics
I0
I2
reference
70
Instrumentation
Radiation source, monochromator and detector Two
sources are required to scan the entire UV-VIS
band Deuterium lamp covers the UV
200-330 Tungsten lamp covers 330-700 The lamps
illuminate the entire band of UV or visible
light the monochromator (grating or prism)
gradually changes the small bands of radiation
sent to the beam splitter The beam splitter
sends a separate band to a cell containing the
sample solution and a reference solution The
detector (Photomultiplier, photoelectric cells)
measures the difference between the transmitted
light through the sample (I) vs. the incident
light (I0) and sends this information to the
recorder
70
71
Sample Handling
  • Virtually all UV spectra are recorded
    solution-phase
  • Only quartz is transparent in the full 200-700 nm
    range
  • plastic and glass are only suitable for visible
    spectra 380 800nm
  • Concentration 0.1 to 100mg
  • 10-5 to 10-2 molar concentration may
    safely be used
  • Percentage of light transmitted 20 to 65
  • At high concentrations, amount of light
    transmitted is low, increasing the possibility of
    error
  • A typical sample cell (commonly called a cuvet)
  • Cells can be made of plastic, glass or quartz
  • (standard cells are typically 1 cm in path
    length)

71
72
Solvents
  • Solvents must be transparent in the region to be
    observed
  • solvents must preserve the fine structure
  • solvents should dissolve the compound
  • Non-polar solvent does not form H-bond with the
    solute (and the spectrum is similar to the
    spectrum of compound at gaseous state)
  • Polar solvent forms H-bonding leading to
    solute-solvent complex and the fine structure may
    disappear.
  • The wavelength from where a solvent is no longer
    transparent is termed as cutoff
  • Common solvents and cutoffs nm
  • acetonitrile 190
  • chloroform 240
  • cyclohexane 195
  • 1,4-dioxane 215
  • 95 ethanol 205
  • n-hexane 201
  • methanol 205
  • isooctane 195
  • water 190

72
73
Factors affecting the position of UV bands 1.
Non-conjugated alkenes
  • A ?? ? transition can occur in simple
    non-conjugated alkene like ethene and other
    alkenes with isolated double bonds below 200 nm.

73
74
Factors affecting the position of UV bands 1.
Non-conjugated alkenes
  • Alkyl substitution of parent alkene moves the
    absorption to longer wavelengths.
  • From ?max di-, tri tetra substituted double
    bonds in acyclic and alicyclic systems can be
    identified

74
75
Factors affecting the position of UV bands 1.
Non-conjugated alkenes
  • This bathochromic effect of alkyl substitution
    is due to the extension of the chromophore,
    in the sense that there is a small interaction,
    due to hyperconjugation, between the ?
    electrons of the alkyl group and the chromophoric
    group.

Methyl groups also cause a bathochromic shift,
even though they are devoid of p-or
n-Electrons This effect is thought to be through
what is termed HYPERCONJUGATION or sigma bond
resonance
HYPERCONJUGATION
  • This effect is progressive as the number of
    alkyl groups increases.
  • The intensity of alkene absorption is
    essentially independent of solvent because of the
    non-polar nature of the alkene bond.

75
76
Factors affecting the position of UV bands 2.
Conjugated Dienes
A conjugated system requires lower energy for
the ?? ? transition than an unconjugated system.
Example Ethylene and Butadiene
In conjugated butadiene (?max217nm ?max
21000) ? and ? orbitals have energies much
closer together than those in ethylene, resulting
in a lower excitation energy
Ethylene has only two orbitals one ground
state ? bonding orbital and one excited state ?
antibonding orbital. The energy difference (??)
between them is about 176 kcal/mole.
76
77
Factors affecting the position of UV bands
i.e., From MOT, two atomic p orbitals, from two
sp2 hybrid carbons combine to form two MOs ? and
? in ethylene,
p
p
77
78
Factors affecting the position of UV bands - 2.
Conjugated Dienes
In butadiene, 4 p orbitals are mixing and 4
MOs of an energetically symmetrical distribution
compared to ethylene. Therefore, the following ?
and ? for ethylene and butadiene will be
obtained.
? 4
? 2
? 3
? 2
p
? 1
? 1
Ethylene
Butadiene
78
79
Factors affecting the position of UV bands - 2.
Conjugated Dienes
Butadiene, however, with four ? electrons has
four available ? orbitals, two bonding (?1 and
?2) and two antibonding (?3 and ?4)
orbitals. The ?1 bonding orbital encompasses
all the four ? electrons over the four carbon
atoms of the butadiene system and is somewhat
more stable than a single ? bonding orbital in
ethylene. The ?2 orbital is also bonding
orbital, but is of higher energy than the ?1
orbital. The two ? orbitals (?3 and ?4) are
respectively, more stable ((?3) and less stable
(?4) than the ? orbital of ethylene. Energy
absorption, with the appearance of an absorption
band, can thus occur by a ?2 (bonding) ? (?3
(antibonding transition. HOMO to LUMO), the
energy difference of which (136 kcal/mole) is
less than that of the simple ??? transition of
ethylene (176 kcal/mole) giving a ?max 217 nm
(i.e., at a longer wavelength). It is to be
expected that the greater the number of bonding ?
orbitals, the lower will be the energy between
the highest bonding ? orbital and the lowest
excited ? orbital. The obvious extension of
this in terms of ?max is that the greater the
number of conjugated double bonds, the longer the
wavelength of absorption.
80
Factors affecting the position of UV bands - 2.
Conjugated Dienes
? 4
? 2
? 3
136 kcal/mole
?? 176 kcal/mole
? 2
p
? 1
? 1
DE for the HOMO ? LUMO transition is REDUCED
80
81
Factors affecting the position of UV bands - 2.
Conjugated Dienes
Extending this effect out to longer conjugated
systems the energy gap becomes progressively
smaller For example
81
82
Factors affecting the position of UV bands - 2.
Conjugated Dienes - Types
  • Acyclic dienes 1,3-Butadiene with the
    structural formula
  • Homo-annular conjugated dienes Both conjugated
    double bonds are in same ring
  • Hetero-annular dienes Conjugated double bonds
    are not present in same ring

83
Factors affecting the position of UV bands - 2.
Conjugated Dienes - Types
  • Exocyclic and Endocyclic double bond

Endocyclic double bond
Exocyclic double bond
84
Factors affecting the position of UV bands - 2.
Conjugated Dienes - Types
  1. Acyclic diene or Heteroannular diene
  • Most acyclic dienes have transoid conformation
  • i.e. trans disposition of double bonds about a
    single bond.
  • Base ?max217 nm (?max 5000-20000).

Base ?max217 nm ?max 5000-20000
  • Heteroannular diene, is a conjugated system in
    which the two double bonds are confined to
    two different rings.
  • Base ?max 214 nm (?max 5000-20000).

Base ?max214 nm ?max 5000-20000
84
85
Factors affecting the position of UV bands - 2.
Conjugated Dienes - Types
2. Homoannular diene
In homoannular diene, the two conjugated double
bonds are confined to a single ring. i.e., the
cyclic dienes are forced into an s-cis (cisoid)
conformation. Base ?max 253 nm (?max
5000-8000). Homoannular dienes contained in
other ring sizes possess different base
absorption values. Example Cyclopentadiene
?max228nm Cycloheptadiene ?max 241nm
Base ?max253 nm ?max 5000-8000
85
86
Factors affecting the position of UV bands - 2.
Conjugated Dienes
When two or more CC units are conjugated, The
energy difference ?E between the highest bonding
? orbital (HOMO) and the lowest excited ?
orbital (LUMO) becomes small and results in a
shift of ?max to longer wavelength i.e.,
Bathochromic shift. This concept helps to
distinguish between the two isomeric diens,
1,5-hexadiene and 2, 4- hexadoeme, from the
relative positions of ?max. H2CCH-CH2-CH2-CHC
H2 CH3-CHCH-CHCH-CH3 1,5-Hexadiene
2,4-Hexadiene (non-conjugated diene)
(conjugated diene) ?max 178
nm ?max 227 nm
86
87
Factors affecting the position of UV bands - 2.
Conjugated Dienes
87
88
Factors affecting the position of UV bands - 2.
Conjugated Dienes - Types
As the number of double bonds in conjugation
increases, ?E for the excitation of an electron
continues to become small and consequently there
will be a continuous increase in the value of
?max
Longer wavelengths Lower energy
88
89
Factors affecting the position of UV bands - 2.
Conjugation with hetero atoms
Conjugation with a heteroatom N, O, S, X moves
the (? ? ?) absorption of ethylene to longer
wavelengths Example CH2CH-OCH3 (?max190nm)
- ?max10000 CH2CH-NMe2 (?max230nm) -
?max10000 Methyl vinyl sulphide absorbs at 228
nm (?max8000)
Here we create 3 MOs this interaction is not as
strong as that of a conjugated ?-system
90
Factors affecting the position of UV bands 3.
Effect of Geometrical isomerism - Steric effect
  • In compounds where geometrical isomerism is
    possible.
  • Example
  • trans - stilbene absorbs at longer wavelength
    ?max295 nm (low energy)
  • cis - stilbene absorbs at shorter wavelength
    ?max280 nm (high energy) due to the steric
    effects.
  • Coplanarity is needed for the most effective
    overlap of the ? - orbitals and increased ease of
    the ? ? ? transition. The cis-stilbene is
    forced into a nonplanar conformation due to
    steric effects.

91
  • UV spectroscopy is very sensitive to distortion
    of the chromophore and consequently the steric
    repulsions which oppose the coplanarity of
    conjugated ?-electron systems can easily be
    detected by comparing its UV spectrum with that
    of a model compound.
  • Distortion of the chromophore may lead to RED or
    BLUE shifts depending upon the nature of the
    distortion.

Example-1 Distortion leading to RED shift
The strained molecule Verbenene exhibits
?max245.5nm whereas the usual calculation shows
at ?max229 nm.
92
Example-2 Distortion leading to BLUE shift
The diene shown here might be expected to have a
maximum at 273nm. But, distortion of the
chromophore, presumably out of planarity with
consequent loss of conjugation, causes the
maximum to be as low as 220nm with a similar loss
in intensity (?max 5500).
Actual ?max 220nm Calculated ?max
273nm
93
Example-3 trans-azobenzene and the sterically
restricted cis-azobenzene
Absorption of Azobenzene (in ethanol)
Example ?? ? transition ?? ? transition n? ? transition n? ? transition
Example ?max ?max ?max ?max
trans-isomer 320 21300 443 510
cis-isomer 281 5260 433 1520
Such differences between cis and trans isomers
are of some diagnostic value
94
Factors affecting the position of UV bands 5.
Effect of Solvents
  • The position and intensity of an absorption band
    is greatly affected by the polarity of the
    solvent used for running the spectrum.
  • Such solvent shifts are due to the differences
    in the relative capabilities of the solvents
    to solvate the ground and excited states of a
    molecule.
  • Non-polar compounds like Conjugated dienes and
    aromatic hydrocarbons exhibit very little solvent
    shift,

95
Factors affecting the position of UV bands 5.
Effect of Solvents
  • The following pattern of shifts are generally
    observed for changes to solvents of
  • increased polarity
  • ?, ?-Un saturated carbonyl compounds display two
    different types of shifts.
  • n? ? Band moves to shorter wavelength (blue
    shift).
  • ?? ? Band moves to longer wavelength (red shift)

96
Factors affecting the position of UV bands 5.
Effect of Solvents
  • ?, ?-Un saturated carbonyl compounds - For
    increased solvent polarity
  • n? ? Band moves to shorter wavelength (blue
    shift).
  • In n? ? transition the ground state is more
    polar than excited state. The hydrogen bonding
    with solvent molecules takes place to a lesser
    extent with the carbonyl group in the excited
    state.

Example
?max 279nm in hexane
?max 264nm in water
97
Factors affecting the position of UV bands 5.
Effect of Solvents
?, ?-Un saturated carbonyl compounds - For
increased solvent polarity (ii) ? ? ? Band
moves to longer wavelength (Red shift). In ? ? ?
the dipole interactions with the solvent
molecules lower the energy of the excited state
more than that of the ground state. Thus, the
value of ?max in ethanol will be greater than
that observed in hexane. i.e., ? orbitals are
more stabilized by hydrogen bonding with polar
solvents like water and alcohol. Thus small
energy will be required for such a transition and
absorption shows a red shift.
Example
B
?
D
AB gt CD
?
A
C
Non-polar solvent
Polar solvent
Longer wavelength
98
Factors affecting the position of UV bands 5.
Effect of Solvents
  • ?, ?-Un saturated carbonyl compounds - For
    increased solvent polarity
  • (iii) In general,
  • If the group (carbonyl) is more polar in the
    ground state than in the excited state, then
    increasing polarity of the solvent stabilizes the
    non-bonding electron in the ground state due to
    hydrogen bonding. Thus, absorption is shifted to
    shorter wave length.

b) If the group (carbonyl) is more polar in the
excited state, the absorption is shifted to
longer wavelength with increase in polarity of
the solvent which helps in stabilizing the
non-bonding electrons in the excited state.
99
Factors affecting the position of UV bands 6.
Conformation and geometry in polyene systems
  • The position of absorption depends upon the
    length of the conjugated system.
  • Longer the conjugated system, higher will be the
    absorption maximum and larger
  • will be the value of the extinction
    coefficient.
  • If in a structure, the ? electron system is
    prevented from achieving coplanarity, In
    long-chain conjugated polyenes, steric hindrance
    to coplanarity can arise when cis-bonds are
    present.
  • This is illustrated by the naturally occurring
    bixin (all trans methyl carotenoid) and its
    isomer with a central cis-double bonds.
  • In the latter the long wavelength band is
    weakened and a diagnostically useful
    cis-band probably due to partial chromophore,
    appears at shorter wavelength.

100
Absorption spectra of Unsaturated carbonyl
compounds. Enones
unsaturated systems incorporating N or O can
undergo n ? ? transitions in addition to ? ?
? ? ? ? transitions ?max188 nm ?max
900 n ? ? transitions ?max285 nm ?max
15 Low intensity is due to the fact this
transition is forbidden by the selection
rules it is the most often observed and studied
transition for carbonyls Similar to alkenes and
alkynes, non-substituted carbonyls undergo the
? ? ? transition in the vacuum UV (?max188
nm ?max900) Both this transitions are also
sensitive to substituents on the carbonyl
100
101
Absorption spectra of Unsaturated carbonyl
compounds. Enones
p
Remember, the p ? p transition is allowed and
gives a high e, but lies outside the routine
range of UV observation The n ? p transition is
forbidden and gives a very low e, but can
routinely be observed
n
p
101
102
Absorption spectra of Unsaturated carbonyl
compounds. Enones
Carbonyls n ? ? transitions (285 nm) ? ? ?
(188 nm)
p
It has been determined from spectral studies,
that carbonyl oxygen more approximates sp rather
than sp2 !
n
p
sCO transitions omitted for clarity
102
103
Absorption spectra of Unsaturated carbonyl
compounds. Enones
For auxochromic substitution on the carbonyl,
pronounced hypsochromic (blue) shifts are
observed for the n ? p transition (lmax)
This is explained by the inductive withdrawal of
electrons by O, N or halogen from the carbonyl
carbon this causes the n-electrons on the
carbonyl oxygen to be held more firmly It is
important to note this is different from the
auxochromic effect on p ? p which extends
conjugation and causes a bathochromic shift In
most cases, this bathochromic shift is not enough
to bring the p ? p transition into the observed
range
103
104
Absorption spectra of Unsaturated carbonyl
compounds. Enones
  • Conversely, if the CO system is conjugated both
    the n ? p and p ? p bands are
  • Bathochromically (Red) shifted
  • Here, several effects must be noted
  • the effect is more pronounced for p ? p
  • if the conjugated chain is long enough, the much
    higher intensity p ? p band will overlap and
    drown out the n ? p band
  • the shift of the n ? p transition is not as
    predictable
  • For these reasons, empirical Woodward-Fieser
    rules for conjugated enones are for the higher
    intensity, allowed p ? p transition

104
105
Absorption spectra of Unsaturated carbonyl
compounds. Enones
Conjugation effects are apparent from the MO
diagram for a conjugated enone
105
106
Absorption spectra of Alkanes - Miscellaneous
  • Alkanes only posses s-bonds and no lone pairs
    of electrons, so only the high
  • energy s ? s transition is observed in the far
    UV
  • This transition is destructive to the molecule,
    causing cleavage of the s-bond

s
s
106
107
Absorption spectra of Aliphatic compounds -
Miscellaneous
  • Alcohols, ethers, amines and sulfur compounds
    in the cases of simple, aliphatic examples of
    these compounds the n ? s is the most often
    observed transition like the alkane s ? s it is
    most often at shorter l than 200 nm
  • Note how this transition occurs from the HOMO to
    the LUMO

sCN
nN sp3
sCN
107
108
Woodward Fieser rules
  • It is used for calculating ?max
  • Calculated ?max differs from observed values by
    5-6.
  • Effect of substituent groups can be reliably
    quantified by use Woodward Fieser Rule
  • Separate values for conjugated dienes and trines
    and a-ß-unsaturated ketnones are available

108
109
Woodward Fieser rules
Woodward-Fieser Rules Woodward and the
Fiesers performed extensive studies of terpene
and steroidal alkenes and noted similar
substituents and structural features would
predictably lead to an empirical prediction of
the wavelength for the lowest energy p ? p
electronic transition This work was distilled
by Scott in 1964 into an extensive treatise on
the Woodward-Fieser rules in combination with
comprehensive tables and examples (A.I. Scott,
Interpretation of the Ultraviolet Spectra of
Natural Products, Pergamon, NY, 1964) A more
modern interpretation was compiled by Rao in 1975
(C.N.R. Rao, Ultraviolet and Visible
Spectroscopy, 3rd Ed., Butterworths, London, 1975)
109
110
Woodward Fieser rules for Dienes
The rules begin with a base value for lmax of the
chromophore being observed For acyclic
butadiene 217 nm
or 214 nm
The incremental contribution of substituents is
added to this base value from the group tables
Group Increment
Extended conjugation 30
Each exo-cyclic CC 5
Alkyl 5
-OCOCH3 0
-OR 6
-SR 30
-Cl, -Br 5
-NR2 60
110
111
Woodward Fieser rules for Dienes Examples -1
2
Isoprene - acyclic butadiene 217 nm
one alkyl subs. 5 nm Calculated
value 222 nm Observed value 220
nm Allylidenecyclohexane - acyclic
butadiene 217 nm one exocyclic CC
5 nm 2 alkyl subs. 10 nm
Calculated value 232 nm Observed
value 237 nm
111
112
Woodward Fieser rules for Dienes Problem - 1
acyclic butadiene 217 nm
Solution
Group Increment
Extended conjugation 30
Each exo-cyclic CC 5
Alkyl 5
-OCOCH3 0
-OR 6
-SR 30
-Cl, -Br 5
-NR2 60
acyclic butadiene 217 nm
extended conjugation 30 nm
Calculated value 247 nm
112
113
Woodward Fieser rules for Dienes Example-3
113
114
Woodward Fieser rules for Cyclic Dienes
Heteroannular (transoid)
Homoannular (cisoid)
Base ?max 253
Base ?max 214
The increment table is the same as for acyclic
butadienes with a couple additions
Group Increment
Additional homoannular 39
Where both types of diene are present, the one with the longer l becomes the base
Group Increment
Extended conjugation 30
Each exo-cyclic CC 5
Alkyl 5
-OCOCH3 0
-OR 6
-SR 30
-Cl, -Br 5
-NR2 60
114
115
Woodward Fieser rules for Cyclic Dienes
Example-4
1,2,3,7,8,8a-hexahydro-8a-methylnaphthalene
115
116
Woodward Fieser rules for Dienes Problem - 2
Heteroannular diene 214 nm
Group Increment
Extended conjugation 30
Each exo-cyclic CC 5
Alkyl 5
-OCOCH3 0
-OR 6
-SR 30
-Cl, -Br 5
-NR2 60
Solution
Heteroannular diene 214 nm
Ring residues /
Alkyl substitution 3 x 5 15 nm
Exocyclic CC bond 1 x 5 5 nm
Calculated value 234 nm
Observed value 247 nm
116
117
Woodward Fieser rules for Cyclic Dienes
Example-5
117
118
Woodward Fieser rules for Cyclic Dienes
Example-6
heteroannular diene 214 nm 4 alkyl subs. (4 x
5) 20 nm 1 exo CC 5 nm 239 nm
abietic acid
118
119
Woodward Fieser rules for Cyclic Dienes
Example-7
homoannular diene 253 nm 4 alkyl subs. (4 x
5) 20 nm 1 exo CC 5 nm 278 nm
levopimaric acid
119
120
Woodward Fieser rules for Dienes Problem - 3
Homoannular diene 253 nm
Group Increment
Additional homoannular 39
Extended conjugation 30
Each exo-cyclic CC 5
Alkyl 5
-OCOCH3 0
-OR 6
-SR 30
-Cl, -Br 5
-NR2 60
Solution
Homoannular diene 253 nm
Extended conjugation 1 x 30 30 nm
Alkyl substitution 2 x 5 10 nm
Calculated value 293 nm
120
121
Woodward Fieser rules for Cyclic Dienes
Example-8
121
122
Woodward Fieser rules for Dienes Examples
9,10 11
122
123
Woodward Fieser rules for Cyclic Dienes
PRECAUTIONS
Be careful with your assignments three common
errors
This compound has three exocyclic double bonds
the indicated bond is exocyclic to two rings
This is not a heteroannular diene you would use
the base value for an acyclic diene
Likewise, this is not a homooannular diene you
would use the base value for an acyclic diene
123
124
Woodward Fieser rules for Enones
Group Increment
6-membered ring or acyclic enone Base 215 nm
5-membered ring parent enone Base 202 nm
Acyclic dienone Base 245 nm

Double bond extending conjugation 30
Alkyl group or ring residue a, b, g and higher 10, 12, 18
-OH a, b, g and higher 35, 30, 18
-OR a, b, g, d 35, 30, 17, 31
-O(CO)R a, b, d 6
-Cl a, b 15, 12
-Br a, b 25, 30
-NR2 b 95
Exocyclic double bond 5
Homocyclic diene component 39
125

Woodward Fieser rules for Enones
Aldehydes, esters and carboxylic acids have
different base values than ketones
Unsaturated system Base Value
Aldehyde 208
With a or b alkyl groups 220
With a,b or b,b alkyl groups 230
With a,b,b alkyl groups 242

Acid or ester
With a or b alkyl groups 208
With a,b or b,b alkyl groups 217
Group value exocyclic a,b double bond 5
Group value endocyclic a,b bond in 5 or 7 membered ring 5
125
126

Woodward Fieser rules for Enones
Unlike conjugated alkenes, solvent does have an
effect on ?max These effects are also described
by the Woodward-Fieser rules
Solvent correction Increment
Water 8
Ethanol, methanol 0
Chloroform -1
Dioxane -5
Ether -7
Hydrocarbon -11
126
127
Woodward Fieser rules for Enones Examples
12 13
Some examples keep in mind these are more
complex than dienes cyclic enone
215 nm 2 x b- alkyl subs. (2
x 12) 24 nm Calculated value 239
nm Experimental value 238
nm cyclic enone 215 nm extended
conj. 30 nm b-ring residue 12
nm d-ring residue 18 nm exocyclic
double bond 5 nm 280 nm Experiment
al 280 nm
127
128
Woodward Fieser rules for Enones Problem 4
Group Position Increment
6-membered ring or acyclic enone Base 215 nm
5-membered ring parent enone Base 202 nm
Acyclic dienone Base 245 nm

Double bond extending conjugation 30
Alkyl group or ring residue a, b, g and higher 10, 12, 18
-OH a, b, g and higher 35, 30, 18
-OR a, b, g, d 35, 30, 17, 31
-O(CO)R a, b, d 6
-Cl a, b 15, 12
-Br a, b 25, 30
-NR2 b 95
Exocyclic double bond 5
Homocyclic diene component 39
128
129
Woodward Fieser rules for Enones Solution for
Problem 4
Group Increment
6-membered ring or acyclic enone Base 215 nm
5-membered ring parent enone Base 202 nm
Acyclic dienone Base 245 nm

Double bond extending conjugation 30
Alkyl group or ring residue a, b, g and higher 10, 12, 18
-OH a, b, g and higher 35, 30, 18
-OR a, b, g, d 35, 30, 17, 31
-O(CO)R a, b, d 6
-Cl a, b 15, 12
-Br a, b 25, 30
-NR2 b 95
Exocyclic double bond 5
Homocyclic diene component 39
129
130
Woodward Fieser rules for Enones Example 14
130
131
UV Spectroscopy For Assignment
  1. Absorption spectra of Polyenes Lycopene,
    Carotene etc..
  2. Woodward Fieser rules for Polyenes Rules and
    calculation for atleast 2 polyenes
  3. Applications of UV spectra - with specific
    examples

131
132
UV Spectroscopy - References
  1. Spectroscopy of Organic Compounds, by P.S. Kalsi,
    2nd Edition, (1996), pp.750.
  2. Organic Spectroscopy Principles and
    Applications, by Jag Mohan, 2nd Edition, (2009),
    pp.119152.
  3. Spectrometric Identification of Organic
    Compounds, by Silverstein, Bassler, Morrill, 5th
    Edition, (1991), pp. 289315.
  4. Introduction to Spectroscopy, by Pavia, Lampman,
    Kriz, 3rd Edition, (2001), pp.353-389.
  5. Applied Chemistry, by K. Sivakumar, Ist Edition,
    (2009), pp.8.18.14.
  6. Instrumental Methods of Chemical Analysis, by
    Gurdeep.R. Chatwal, Sham Anand, Ist Edition,
    (1999), pp.180-198.
  7. Selected Topics in Inorganic Chemistry, by Wahid
    U. Malik, G.D. Tuli, R.D. Madan, (1996).
  8. Fundamentals of Molecular Spectroscopy, by C.N.
    Banwell, 3rd Edition, (1983).
  9. www.spectroscopyNOW.com

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