Physical Chemistry Third Edition

A Tables of Numerical Data 1233

Table A.24 Characteristic Vibrational

Frequencies

Group Frequency/cm−^1

C−H (stretch) 2850 − 3000

C−H (bend) 1350 − 1450

O−H (stretch) 3600 − 3700

CC 1600 − 1680

C≡C 2200 − 2260

CO 1660 − 1870

C−Cl 600 − 800

C≡N ca. 2250

Table A.25 Characteristic Proton

Chemical Shifts Relative to Tetra-

methyl Silane (TMS)

Group δ/ppm

−CO 2 H11− 13

−CHO 9 − 10

Ar−H7− 8

−CCH 5 − 7

ROH 3 − 5

−CO 2 CH 3 4

RCOCH 3 3 − 4

Ar−CH 3 2 − 3

−CH 2 − 1 − 5

R−CH 3 1 − 2

Si(CH 3 ) 4 0.00

R stands for an aliphatic radical, Ar stands for

an aromatic radical.

Table A.26 Character Tables for a Few Common Point Groups

C2v EC 2 σyz σxz Function

A 1 1111 z,z^2

A 2 11 − 1 − 1 xy,Rz

B 1 1 − 1 − 11 xz,Ry

B 2 1 − 11 − 1 yz,Rx

C3v E 2 C 3 3 σv Function

A 1 111 z^2

A 2 11 − 1 Rz

E2− 10 x,y,Rx,Ry

D2h EC 2 (z) C 2 (y) C 2 (x) iσ(xy) σ(xz) σ(yz)

Ag 1 1 1 11111 z^2

B1g 11 − 1 − 11 1 − 1 −1xy

(continued)