## C6h 点群

アーベル群, 8(12)既約表現
C6h点群の部分群: Cs, Ci, C2, C3, C6, C2h, C3h, S6

#### C6h点群の指標表

EC6(z)C3C2(C3)2(C6)5i(S3)5(S6)5σhS6S3linear,
rotations
Ag11111111111Rzx2+y2, z2
Bg1-11-11-11-11-11-1
E1g1
1
e
e*
-e*
-e
-1
-1
-e
-e*
e*
e
1
1
e
e*
-e*
-e
-1
-1
-e
-e*
e*
e
Rx+iRy
Rx-iRy
(xz, yz)
E2g1
1
-e*
-e
-e
-e*
1
1
-e*
-e
-e
-e*
1
1
-e*
-e
-e
-e*
1
1
-e*
-e
-e
-e*
(x2-y2, xy)
Au111111-1-1-1-1-1-1z
Bu1-11-11-1-11-11-11
E1u1
1
e
e*
-e*
-e
-1
-1
-e
-e*
e*
e
-1
-1
-e
-e*
e*
e
1
1
e
e*
-e*
-e
x+iy
x-iy
E2u1
1
-e*
-e
-e
-e*
1
1
-e*
-e
-e
-e*
-1
-1
e*
e
e
e*
-1
-1
e*
e
e
e*
e = exp(πi/3)

#### C6h点群の積表

AgBgE1gE2gAuBuE1uE2u
AgAgBgE1gE2gAuBuE1uE2u
BgBgAgE2gE1gBuAuE2uE1u
E1gE1gE2g2Ag+E2g2Bg+E1gE1uE2u2Au+E2u2Bu+E1u
E2gE2gE1g2Bg+E1g2Ag+E2gE2uE1u2Bu+E1u2Au+E2u
AuAuBuE1uE2uAgBgE1gE2g
BuBuAuE2uE1uBgAgE2gE1g
E1uE1uE2u2Au+E2u2Bu+E1uE1gE2g2Ag+E2g2Bg+E1g
E2uE2uE1u2Bu+E1u2Au+E2uE2gE1g2Bg+E1g2Ag+E2g

 C1 Cs Ci C2 C3 C4 C5 C6 C2v C3v C4v C5v C6v C2h C3h C4h C5h C6h D2 D3 D4 D5 D6 D2h D3h D4h D5h D6h D2d D3d D4d D5d D6d S4 S6 S8 S10 Td Oh Ih C∞v D∞h