482 A Point Group Character Tables Table A.14.Character table for group Dsh(hexagonal) D3h=D3⑧oh(6m2) E Oh 2C3 2S3 3C4 30r x2+,22 A 1 1 1 1 1 1 R A的 1 1 1 1 -1 -1 1 -1 1 -1 1 -1 A 1 -1 -1 -1 (x2-y2,xy） (x,y) 2 2 -1 -1 0 0 (xz,yz) (R:,Ry) ⊙。 2 -2 -1 0 0 Table A.15.Character table for group Ca(tetragonal) C4(4) E C2 Ca c x2+y2,2 R:,2 1 1 1 1 x2-y2,xy B -1 -1 (x,y) (xz,yz) ~1 -i (Rz;Ry) 1 -i Table A.16.Character table for group C4(tetragonal) C4v (4mm) E C2 2C4 20v 20d x2+y2,22 A1 1 1 1 R: A2 1 1 -1 -1 x2-y2 B1 1 1 -1 1 -1 工y B2 1 -1 -1 1 (xz,92) (x,） E -2 0 0 (Rx,Rg） 0 C4h=Cai(4/m)(tetragonal) Table A.17.Character table for group S4 (tetragonal) S4(④ E C2 SA 5 x2+,22 R: 1 1 1 1 B 1 1 -1 -1 (xz,yz) (x,y) E 1 -1 -i (x2-y2,xg) (Rz,Ry) -1 i i Table A.18.Character table for group D(tetragonal) D4(422) E C2=C 2C4 2C% 2C x2+2,z2 A1 1 R=,z A2 1 -1 -1 x2-2 B1 1 -1 1 -1 ry B2 -1 -1 (x,y) (x2,y2)】 E -2 0 0 0 (Rz;Ry) Dah =D4 i(4/mmm)(tetragonal)482 A Point Group Character Tables Table A.14. Character table for group D3h (hexagonal) D3h = D3 ⊗ σh (6m2) E σh 2C3 2S3 3C 2 3σv x2 + y2, z2 A 1 11 1 1 1 1 Rz A 2 11 1 1 −1 −1 A 1 1 −1 1 −1 1 −1 z A 2 1 −1 1 −1 −1 1 (x2 − y2, xy) (x, y) E 2 2 −1 −1 00 (xz, yz) (Rx, Ry) E 2 −2 −11 00 Table A.15. Character table for group C4 (tetragonal) C4 (4) E C2 C4 C3 4 x2 + y2, z2 Rz, z A 1 111 x2 − y2, xy B 1 1 −1 −1 (xz, yz) (x, y) (Rx, Ry) " E ( 1 1 −1 −1 i −i −i i Table A.16. Character table for group C4v (tetragonal) C4v (4mm) E C2 2C4 2σv 2σd x2 + y2, z2 z A1 11 1 11 Rz A2 11 1 −1 −1 x2 − y2 B1 1 1 −1 1 −1 xy B2 1 1 −1 −1 1 (xz, yz) (x, y) (Rx, Ry) " E 2 −2 000 C4h = C4 ⊗ i (4/m) (tetragonal) Table A.17. Character table for group S4 (tetragonal) S4 (4) E C2 S4 S3 4 x2 + y2, z2 Rz A 11 11 z B 1 1 −1 −1 (xz, yz) (x2 − y2, xy) " (x, y) (Rx, Ry) " E (1 1 −1 −1 i −i −i i Table A.18. Character table for group D4 (tetragonal) D4 (422) E C2 = C2 4 2C4 2C 2 2C 2 x2 + y2, z2 A1 1 111 1 Rz, z A2 1 11 −1 −1 x2 − y2 B1 1 1 −1 1 −1 xy B2 1 1 −1 −1 1 (xz, yz) (x, y) (Rx, Ry) " E 2 −200 0 D4h = D4 ⊗ i (4/mmm) (tetragonal)