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d5d - 点群対称性の指標表


Nonaxial
C1
Cs
Ci
Cn
C2
C3
C4
C5
C6
Cnv
C2v
C3v
C4v
C5v
C6v
Cnh
C2h
C3h
C4h
C5h
C6h
Dn
D2
D3
D4
D5
D6
Dnh
D2h
D3h
D4h
D5h
D6h
Dnd
D2d
D3d
D4d
D5d
D6d
Sn
S4
S6
S8
S10
より高い
Td
Oh
Ih
線形
C∞v
D∞h

D5d 点群

非アーベル群, 8(12)既約表現
D5d点群の部分群: Cs, Ci, C2, C5, D5, C5v, S10

D5d点群の指標表
E 2C5 2(C5)2 5C'2 i 2(S10)3 2S10 d linear,
rotations
quadratic
A1g 1 1 1 1 1 1 1 1 x2+y2, z2
A2g 1 1 1 -1 1 1 1 -1 Rz
E1g 2 2cos(2π/5) 2cos(4π/5) 0 2 2cos(2π/5) 2cos(4π/5) 0 (Rx, Ry) (xz, yz)
E2g 2 2cos(4π/5) 2cos(2π/5) 0 2 2cos(4π/5) 2cos(2π/5) 0 (x2-y2, xy)
A1u 1 1 1 1 -1 -1 -1 -1
A2u 1 1 1 -1 -1 -1 -1 1 z
E1u 2 2cos(2π/5) 2cos(4π/5) 0 -2 -2cos(2π/5) -2cos(4π/5) 0 (x, y)
E2u 2 2cos(4π/5) 2cos(2π/5) 0 -2 -2cos(4π/5) -2cos(2π/5) 0

D5d点群の積表
 A1gA2gE1gE2gA1uA2uE1uE2u
A1gA1gA2gE1gE2gA1uA2uE1uE2u
A2gA2gA1gE1gE2gA2uA1uE1uE2u
E1gE1gE1gA1g+A2g+E2gE1g+E2gE1uE1uA1u+A2u+E2uE1u+E2u
E2gE2gE2gE1g+E2gA1g+A2g+E2gE2uE2uE1u+E2uA1u+A2u+E2u
A1uA1uA2uE1uA2uA1gA2gE1gE2g
A2uA2uA1uE1uE2uA2gA1gE1gE2g
E1uE1uE1uA1u+A2u+E2uE1u+E2uE1gE1gA1g+A2g+E2gE1g+E2g
E2uE2uE2uE1u+E2uA1u+A2u+E2uE2gE2gE1g+E2gA1g+A2g+E2g

印刷可能なD5d点群
D5d点群の印刷可能な指標表
D5d点群の印刷可能な積表

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