480 A Point Group Character Tables Table A.4.Character table for group C2(monoclinic) C2(2) E C2 x2,2,22,xy R:,2 A 1 (E,y) E2,y2 B 1 (Rz,Ry) -1 Table A.5.Character table for group C2(orthorhombic) C2.(2mm) E C2 Gv 0% 2,y2,2 A1 1 1 1 y R: A2 1 1 -1 -1 Tz Ry:x B1 -1 1 -1 y2 Rr,y B2 1 -1 -1 1 Table A.6.Character table for group Cah(monoclinic) C2h(2/m) E C2 Oh i x2,2,22,y R Ag 1 1 1 1 Au 1 1 -1 -1 E2,y2 R:;Ry Bg -1 -1 1 x,y Bu 1 -1 1 -1 Table A.7.Character table for group D2=V (orthorhombic) D2(222) E C防 C嘡 C 2,y2,22 A1 1 1 1 1 y R:,2 B1 1 1 -1 -1 Cz Ryy B2 1 -1 1 -1 yz Rx,工 B3 1 -1 -1 1 Table A.8.Character table for group Dad Va (tetragonal) D2a(42m) E C2 2S4 2C% 20a x2+y2,2 A 1 1 1 1 1 R: A2 1 1 1 -1 -1 x2-2 B1 1 1 -1 1 -1 xy B2 1 1 -1 -1 1 (xz,yz) (x,) E 2 -2 0 0 0 (Rz:Ry) D2h D2 i (mmm)(orthorhombic)480 A Point Group Character Tables Table A.4. Character table for group C2 (monoclinic) C2 (2) E C2 x2, y2, z2, xy Rz, z A 1 1 xz, yz (x, y) (Rx, Ry) B 1 −1 Table A.5. Character table for group C2v (orthorhombic) C2v (2mm) E C2 σv σ v x2, y2, z2 z A1 1111 xy Rz A2 1 1 −1 −1 xz Ry, x B1 1 −1 1 −1 yz Rx, y B2 1 −1 −1 1 Table A.6. Character table for group C2h (monoclinic) C2h (2/m) E C2 σh i x2, y2, z2, xy Rz Ag 1111 z Au 1 1 −1 −1 xz, yz Rx, Ry Bg 1 −1 −1 1 x, y Bu 1 −1 1 −1 Table A.7. Character table for group D2 = V (orthorhombic) D2 (222) E Cz 2 Cy 2 Cx 2 x2, y2, z2 A1 1111 xy Rz, z B1 1 1 −1 −1 xz Ry, y B2 1 −1 1 −1 yz Rx, x B3 1 −1 −1 1 Table A.8. Character table for group D2d = Vd (tetragonal) D2d (42m) E C2 2S4 2C 2 2σd x2 + y2, z2 A1 11 1 1 1 Rz A2 11 1 −1 −1 x2 − y2 B1 1 1 −1 1 –1 xy z B2 1 1 −1 −1 1 (xz, yz) (x, y) (Rx, Ry) E 2 −20 00 D2h = D2 ⊗ i (mmm) (orthorhombic)