(2)
C–H bond C–D bond
ν = 4.12 Kμ^ ν = 4.12 Kμ^
K= 5 x 10^5 dynes/cm K= 5 x 10^5 dynes/cm
μ =
C H
C H
M M
M M
+ = 12 1
( 12 )( 1 )
+ = 0.923 μ = C D
C D
M M
M M
+ = 12 2
( 12 )( 2 )
+ = 1.71
ν = 4.12^5 0.923 x^10
5
= 3032 cm–1 (calculated);
ν = 3000 cm–1 (experimental)
ν = 4.12^5 x 1.71^10
5
= 2228 cm–1 (calculated);
ν = 2206 cm–1 (experimental)
(3)
CC CC CC
2150 cm–1 1650 cm–1 1200 cm–1
increasingK
CH CC CO CCl CBr CI
3000 cm–1 1200 cm–1 1100 cm–1 800 cm–1 550 cm–1 ~500 cm–1
increasing μ
(4) Hybridization affects the force constant K:
sp sp^2 sp^3
CH CH CH
3300 cm–1 3100 cm–1 2900 cm–1
(5) K increases from left to the right across the periodic table:
C–H: 3040 cm–1 F–H: 4138 cm–1
(6) Bending motions are easier than stretching motions:
C–H stretching: ~ 3000 cm–1 C–H bending: ~ 1340 cm–1