- Number of fundamental vibrations observed in IR will be influenced:
(1) Overtones
(2) Combination tones ⇒ increase the number of bands
(3) Fall outside 2.5-15 μm region
Too weak to be observed
Two peaks that are too close
Degenerate band
Lack of dipole change
⇒ reduce the number of bands- Calculation of approximate stretching frequencies:
ν = 2 π^1 c Kμ ⇒ ν (cm–1) = 4.12 Kμν = frequency in cm–1 c = velocity of light = 3 x 10^10 cm/secμ =
1 2
1 2
m mmm
+ masses of atoms in grams or( 1 2 )( 6. 02 x 1023 )1 2
M MM M
- masses of atoms
in amu
μ =
1 21 2
M MM M
+ where M^1 and M^2 are
atomic weightsK = force constant in dynes/cm
K = 5 x 10^5 dynes/cm (single)
= 10 x 10^5 dynes/cm (double)
= 15 x 10^5 dynes/cm (triple)(1) C=C bond:
ν = 4.12 Kμ K = 10 x 10^5 dynes/cm μ =
C CC C
M MM M
+ = 12 12( 12 )( 12 )
+ =^6ν = 4.12^10 x 6105
= 1682 cm–1 (calculated) ν = 1650 cm–1 (experimental)