自分用にカスタマイズした指標表．
規則
C3v †
yz面を鏡映面とする．
| Irrps. | E | R | C3 | C3^2 | 3σv | basis | | A1 | 1 | 1 | 1 | 1 | 1 | z, x^2+y^2, z^2, y^3-3yx^2 | | A2 | 1 | 1 | 1 | 1 | -1 | sz, x^3-3xy^2 | | E | 2 | 2 | -1 | -1 | 0 | (sy,-sx), (x,y), (xz,yz), (2xy,x^2-y^2) | | E1/2 | 2 | -2 | 1 | -1 | 0 | (↑,↓) | | E3/2(1) | 1 | -1 | -1 | 1 | i | (x-iy)↑+(x+iy)↓ | | E3/2(2) | 1 | -1 | -1 | 1 | -i | (x-iy)↑-(x+iy)↓ |
積表
| A1 | A2 | E | E1/2 | E3/2(1) | E3/2(2) | | A1 | A1 | A2 | E | E1/2 | E3/2(1) | E3/2(2) | | A2 | | A1 | E | D1/2 | E3/2(2) | E3/2(1) | | E | | | A1+A2+E | E1/2+E3/2 | E1/2 | E1/2 | | E1/2 | | | | A1+A2+E | E | E | | E3/2(1)^* | | | | | A1 | A2 | | E3/2(2)^* | | | | | | A1 |
D4h †
指標表
| Irrps. | E | R | C4 | C4^3 | C4^2 | 2C2' | 2C2'' | I | S4 | σh | 2σv | 2σd | | A1g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | | A2g | 1 | 1 | 1 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | -1 | -1 | | B1g | 1 | 1 | -1 | -1 | 1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 | | B2g | 1 | 1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | 1 | -1 | 1 | | Eg | 2 | 2 | 0 | 0 | -2 | 0 | 0 | 2 | 0 | -2 | 0 | 0 | | A1u | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | | A2u | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | | B1u | 1 | 1 | -1 | -1 | 1 | 1 | -1 | -1 | 1 | -1 | -1 | 1 | | B2u | 1 | 1 | -1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | | Eu | 2 | 2 | 0 | 0 | -2 | 0 | 0 | -2 | 0 | 2 | 0 | 0 | | E1/2g | 2 | -2 | √2 | -√2 | 0 | 0 | 0 | 2 | √2 | 0 | 0 | 0 | | E3/2g | 2 | -2 | -√2 | √2 | 0 | 0 | 0 | 2 | -√2 | 0 | 0 | 0 | | E1/2u | 2 | -2 | √2 | -√2 | 0 | 0 | 0 | -2 | -√2 | 0 | 0 | 0 | | E3/2u | 2 | -2 | -√2 | √2 | 0 | 0 | 0 | -2 | √2 | 0 | 0 | 0 |
積表
| A1g | A2g | B1g | B2g | Eg | A1u | A2u | B1u | B2u | Eu | E1/2g | E3/2g | E1/2u | E3/2u | | A1g | A1g | A2g | B1g | B2g | Eg | A1u | A2u | B1u | B2u | Eu | E1/2g | E3/2g | E1/2u | E3/2u | | A2g | | A1g | B2g | B1g | Eg | A2u | A1u | B2u | B1u | Eu | E1/2g | E3/2g | E1/2u | E3/2u | | B1g | | | A1g | A2g | Eg | B1u | B2u | A1u | A2u | Eu | E3/2g | E1/2g | E3/2u | E1/2u | | B2g | | | | A1g | Eg | B2u | B1u | A2u | A1u | Eu | E3/2g | E1/2g | E3/2u | E1/2u | | Eg | | | | | A1g+A2g+B1g+B2g | Eu | Eu | Eu | Eu | A1u+A2u+B1u+B2u | E1/2g+E3/2g | E1/2g+E3/2g | E1/2u+E3/2u | E1/2u+E3/2u | | A1u | | | | | | A1g | A2g | B1g | B2u | Eg | E1/2u | E3/2u | E1/2g | E3/2g | | A2u | | | | | | | A1g | B2g | B1u | Eg | E1/2u | E3/2u | E1/2g | E3/2g | | B1u | | | | | | | | A1u | A2u | Eg | E3/2u | E1/2u | E3/2g | E1/2g | | B2u | | | | | | | | | A1g | Eg | E3/2u | E1/2u | E3/2g | E1/2g | | Eu | | | | | | | | | | A1g+A2g+B1g+B2g | E1/2u+E3/2u | E1/2u+E3/2u | E1/2g+E3/2g | E1/2g+E3/2g | | E1/2g | | | | | | | | | | | A1g+A2g+Eg | B1g+B2g+Eg | A1u+A2u+Eu | B1u+B2u+Eu | | E3/2g | | | | | | | | | | | | A1g+A2g+Eg | B1u+B2u+Eu | A1u+A2u+Eu | | E1/2u | | | | | | | | | | | | | A1g+A2g+Eg | B1g+B2g+Eg | | E3/2u | | | | | | | | | | | | | | A1g+A2g+Eg |
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