(2)
C–H bond C–D bondν = 4.12 Kμ^ ν = 4.12 Kμ^K= 5 x 10^5 dynes/cm K= 5 x 10^5 dynes/cm
μ =
C HC H
M MM M
+ = 12 1( 12 )( 1 )
+ = 0.923 μ = C DC D
M MM M
+ = 12 2( 12 )( 2 )
+ = 1.71ν = 4.12^5 0.923 x^105
= 3032 cm–1 (calculated);
ν = 3000 cm–1 (experimental)ν = 4.12^5 x 1.71^105
= 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