Some Common Character Tables

Some Common Character Tables - Some common Character Tables...

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Some common Character Tables D 2 E C 2 (z) C 2 (y) C 2 (x) A 1 1 1 1 x 2 , y 2 , z 2 B 1 1 1 -1 -1 z, R z , xy B 2 1 -1 1 -1 y, R y , xz B 3 1 -1 -1 1 x, R x , yz D 3 E 2C 3 3C 2 C S E σ h A 1 1 1 1 x 2 +y 2 , z 2 A’ 1 1 A 2 1 1 -1 z, R z x, y, R z , x 2 , y 2 , z 2 , xy E 2 -1 0 (x,y) (R x , R y ) (x 2 -y 2 , xy) (xz, yz) A” 1 -1 z, R x , R y , yz, xz D 4 E 2C 4 C 4 2 2C 2 2C 2 A 1 1 1 1 1 1 x 2 +y 2 , z 2 A 2 1 1 1 -1 -1 z, R z B 1 1 -1 1 1 -1 x 2 -y 2 B 2 1 -1 1 -1 1 xy E 2 0 -2 0 0 (x,y) (R x , R y ) (xz, yz)
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C i E i C 2 E C 2 A g 1 1 R x , R y , R z , x 2 , y 2 , z 2 , xy, xz, yz A 1 1 z, R z , x 2 , y 2 , z 2 , xy A u 1 -1 x, y, z B 1 -1 x, y, R x , R y , yz, xz D 6 E 2C 6 2C 3 C 2 3C 2 3C 2 A 1 1 1 1 1 1 1 x 2 +y 2 , z 2 A 2 1 1 1 1 -1 -1 z, R z B 1 1 -1 1 -1 1 -1 B 2 1 -1 1 -1 -1 1 E 1 2 1 -1 -2 0 0 (x,y) (R x , R y ) (xz, yz) E 2 2 -1 -1 2 0 0 (x 2 -y 2 , xy) T d E 8C 3 3C 2 6S 4 6 σ d A 1 1 1 1 1 1 x 2 +y 2 +z 2 A 2 1 1 1 -1 -1 E 2 -1 2 0 0 (2z 2 -x 2 -y 2 , x 2 -y 2 ) T 1 3 0 -1 1 -1 (R x , R y , R z ) T 2 3 0 -1 -1 1 (x, y, z) (xy, xz, yz)
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O h E 8C 3 6C 2 6C 4 3C 4 2 i 6S 4 8S 6 3 σ h 6 σ d A 1g 1 1 1 1 1 1 1 1 1 1 x 2 +y 2 +z 2 A 2g
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This note was uploaded on 01/22/2011 for the course CHM 2311 taught by Professor Richardson during the Winter '09 term at University of Ottawa.

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Some Common Character Tables - Some common Character Tables...

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