Character Tables for Point Groups单词卡 | Quizlet

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57 Terms

1

E

C1

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2

E, C2

C2

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3

E, C3, C32

C3

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4

E, C4, C2, C43

C4

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5

E, C5, C52, C53, C54

C5

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6

E, C6, C3, C2, C32, C65

C6

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7

E, C7, C72, C73, C74, C75, C76

C7

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8

E, C8, C4, C83, C2, C85, C43, C87

C8

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9

E, C2(z), C2(y), C2(x)

D2

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10

E, 2C3(z), 3C2'

D3

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11

E, 2C4(z), C2(z), 2C2', 2C2''

D4

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12

E, 2C5(z), 2C52, 5C2'

D5

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13

E, 2C6(z), 2C3(z), C2(z), 3C2', 3C2''

D6

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14

E, 2C7, 2C72, 2C73, 7C2'

D7

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15

E, 2C8, 2C4, 2C83, C2, 4C2', 4C2''

D8

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16

E, C2(z), σv(xz), σv(yz)

C2v

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17

E, 2C3(z), 3σv

C3v

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18

E, 2C4(z), C2(z), 2σv, 2σd

C4v

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19

E, 2C5(z), 2C52, 5σv

C5v

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20

E, 2C6(z), 2C3(z), C2(z), 3σv, 3σd

C6v

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21

E, 2C7, 2C72, 2C73, 7σv

C7v

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22

E, 2C8, 2C4, 2C83, C2, 4σv, 4σd

C8v

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23

E, σh

Cs

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24

E, i

Ci

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25

E, C2(z), i, σh

C2h

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26

E, C3(z), C32, σh, S35, S3

C3h

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27

E, C4(z), C2, C43, i, S43, σh, S4

C4h

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28

E, C5, C52, C53, C54, σh, S59, S57, S53, S5

C5h

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29

E, C6(z), C3, C2, C32, C65, i, S65, σh, S35, S3, S6

C6h

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30

E, C2(z), C2(y), C2(x), i, σ(xy), σ(xz), σ(yz)

D2h

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31

E, 2C3(z), 3C2', σh(xy), 2S3, 3σv

D3h

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32

E, 2C4(z), C2(z), 2C2', 2C2'', i, 2S4, σh, 2σd, 2σv

D4h

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33

E, 2C5(z), 2C52, 5C2', σh, 2S5, 2S53, 5σv

D5h

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34

E, 2C6(z), 2C3(z), C2(z), 3C2', 3C2'', i, 2S6, 2S3, σh, 3σd, 3σv

D6h

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35

E, 2C7, 2C72, 2C73, 7C2', σh, 2S7, 2S75, 2S73, 7σv

D7h

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36

E, 2C8, 2C4, 2C83, C2, 4C2', 4C2'', i, 2S8, 2S4, σh, 2S83, 4σd, 4σv

D8h

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37

E, 2C2', C2(z), 2S4, 2σd

D2d

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38

E, 2C3, 3C2', i, 2S6, 3σd

D3d

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39

E, 2C4, 4C2', C2, 2S8, 2S83, 4σd

D4d

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40

E, 2C5, 2C52, 5C2', i, 2S10, 2S103, 5σd

D5d

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41

E, 2C6, 2C3, 6C2', C2, 2S12, 2S125, 2S4, 6σd

D6d

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42

E, 2C7, 2C72, 2C73, 7C2', i, 2S14, 2S143, 2S145, 7σd

D7d

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43

E, 2C8, 2C4, 2C83, 8C2', C2, 2S16, 2S163, 2S165, 2S167, 8σd

D8d

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44

E, S4, S43, C2

S4

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45

E, C3, C32, i, S6, S65

S6

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46

E, S8, S83, S85, S87, C2, C4, C43

S8

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47

E, C5, C52, C53, C54, i, S10, S109, S103, S107

S10

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48

E, S12, S1211, S125, S127, S4, S43, C2, C6, C65, C32, C3

S12

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49

E, 4C3, 4C32, 3C2

T

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50

E, 4C3, 4C32, 3C2, i, 4S65, 4S6, 3σh

Th

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51

E, 8C3, 3C2, 6S4, 6σd

Td

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52

E, 8C3, 3C2 (= 3C42), 6C2', 6C4

O

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53

E, 8C3, 3C2 (= 3C42), 6C2', 6C4, i, 6S4, 8S6, 3σh, 6σd

Oh

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54

E, 12C5, 12C52, 20C3, 15C2

I

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55

E, 12C5, 12C52, 20C3, 15C2, i, 12S10, 12S103, 20S6, 15σ

Ih

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56

E, 2C∞, ..., ∞σv

C∞v

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57

E, 2C∞, ..., ∞σv, i, 2S∞, ..., ∞C2'

D∞h

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