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ASSIGNMENT ON
RAMAN SPECTROSCOPY
Raman Spectroscopy
1923 – Inelastic light scattering is predicted by A.
Smekel.
1928 – Lands berg and Mandelstam see unexpected
frequency shifts in scattering from quartz
1928 – C.V. Raman and K.S. Krishnan see “feeble
fluorescence” from neat solvents
1930 – C.V. Raman wins Nobel Prize in Physics
1961 – Invention of laser makes Raman experiments
reasonable
1977 – Surface-enhanced Raman scattering (SERS) is
discovered
1997 – Single molecule SERS is possible
Raman Spectroscopy
1 in 107 photons is scattered inelastically
Infrared
(absorption)
Raman
(scattering)
v” = 0
v” = 1
virtual
state
Excitation
Scattered
Rotational Raman
Vibrational Raman
Electronic Raman
Classical Theory of Raman Effect
mind = aE
polarizability
max 0
max max 0
max max 0
( ) cos2
1
cos2 ( )
2
1
cos2 ( )
2
equil
z zz
zz
vib
zz
vib
t E t
d
r E t
dr
d
r E t
dr
m a 
a
  
a
  
 
  
 
r
r
r
Selection rule: v = ±1
Overtones: v = ±2, ±3, …
Raman Scattering
Must also have a change in polarizability
Classical Description does not suggest any difference
between Stokes and Anti-Stokes intensities
1
0
vibh
kT
N
e
N



Presentation of Raman Spectra
lex = 1064 nm = 9399 cm-1
Breathing mode:
9399 – 992 = 8407 cm-1
Stretching mode:
9399 – 3063 = 6336 cm-1
Raman Intensities
s(ex) – Raman scattering cross-section (cm2)
ex – excitation frequency
E0 – incident beam irradiance
ni – number density in state i
exponential – Boltzmann factor for state i
4
0α ( )
iE
kT
R ex ex iE n es  


Radiant power of Raman scattering:
s(ex) - target area presented by a molecule for
scattering
Raman Scattering Cross-Section
s(ex) - target area
presented by a
molecule for scattering
scattered flux/unit solid angle
indident flux/unit solid angle
d
d
d
d
d
s
s
s


 

Process Cross-Section of s (cm2)
absorption UV 10-18
absorption IR 10-21
emission Fluorescence 10-19
scattering Rayleigh 10-26
scattering Raman 10-29
scattering RR 10-24
scattering SERRS 10-15
scattering SERS 10-16
Raman Scattering Cross-Section
lex (nm) s ( x 10-28 cm2)
532.0 0.66
435.7 1.66
368.9 3.76
355.0 4.36
319.9 7.56
282.4 13.06
Table adapted from Aroca, Surface Enhanced
Vibrational Spectroscopy, 2006
CHCl3:
C-Cl stretch at 666 cm-1
Resonance Raman
Raman signal intensities can be enhanced by resonance
by factor of up to 105 => Detection limits 10-6 to 10-8 M.
Typically requires tunable laser as light source.
Kellner et al., Analytical Chemistry
Resonance Raman Spectra
lex = 441.6 nm
lex = 514.5 nm
Raman Instrumentation
Tunable Laser System Versatile Detection System
Made By:
Anita Malviya

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RAMAN SPECTROSCOPY

  • 2. Raman Spectroscopy 1923 – Inelastic light scattering is predicted by A. Smekel. 1928 – Lands berg and Mandelstam see unexpected frequency shifts in scattering from quartz 1928 – C.V. Raman and K.S. Krishnan see “feeble fluorescence” from neat solvents 1930 – C.V. Raman wins Nobel Prize in Physics 1961 – Invention of laser makes Raman experiments reasonable 1977 – Surface-enhanced Raman scattering (SERS) is discovered 1997 – Single molecule SERS is possible
  • 3. Raman Spectroscopy 1 in 107 photons is scattered inelastically Infrared (absorption) Raman (scattering) v” = 0 v” = 1 virtual state Excitation Scattered Rotational Raman Vibrational Raman Electronic Raman
  • 4. Classical Theory of Raman Effect mind = aE polarizability
  • 5. max 0 max max 0 max max 0 ( ) cos2 1 cos2 ( ) 2 1 cos2 ( ) 2 equil z zz zz vib zz vib t E t d r E t dr d r E t dr m a  a    a           r r r Selection rule: v = ±1 Overtones: v = ±2, ±3, … Raman Scattering Must also have a change in polarizability Classical Description does not suggest any difference between Stokes and Anti-Stokes intensities 1 0 vibh kT N e N   
  • 6. Presentation of Raman Spectra lex = 1064 nm = 9399 cm-1 Breathing mode: 9399 – 992 = 8407 cm-1 Stretching mode: 9399 – 3063 = 6336 cm-1
  • 7. Raman Intensities s(ex) – Raman scattering cross-section (cm2) ex – excitation frequency E0 – incident beam irradiance ni – number density in state i exponential – Boltzmann factor for state i 4 0α ( ) iE kT R ex ex iE n es     Radiant power of Raman scattering: s(ex) - target area presented by a molecule for scattering
  • 8. Raman Scattering Cross-Section s(ex) - target area presented by a molecule for scattering scattered flux/unit solid angle indident flux/unit solid angle d d d d d s s s      Process Cross-Section of s (cm2) absorption UV 10-18 absorption IR 10-21 emission Fluorescence 10-19 scattering Rayleigh 10-26 scattering Raman 10-29 scattering RR 10-24 scattering SERRS 10-15 scattering SERS 10-16
  • 9. Raman Scattering Cross-Section lex (nm) s ( x 10-28 cm2) 532.0 0.66 435.7 1.66 368.9 3.76 355.0 4.36 319.9 7.56 282.4 13.06 Table adapted from Aroca, Surface Enhanced Vibrational Spectroscopy, 2006 CHCl3: C-Cl stretch at 666 cm-1
  • 10. Resonance Raman Raman signal intensities can be enhanced by resonance by factor of up to 105 => Detection limits 10-6 to 10-8 M. Typically requires tunable laser as light source. Kellner et al., Analytical Chemistry
  • 11. Resonance Raman Spectra lex = 441.6 nm lex = 514.5 nm
  • 12. Raman Instrumentation Tunable Laser System Versatile Detection System
  • 13.