1. Consider the C3 point group. The 2x2 matrices shown below form a matrix representation of this group. Use these matrices to evaluate the following combinations of multiple symmetry operations within this group. For example, Êô,ô, = Ê. C3 2 C3² √√3 - & ( ) 9) 2 2 √3 (a) ông Cg ốn (b) C30"Ĉ3 √3 2 1 ôv (₂) ô₂' 2 √3 2 √√3 2 1 2 ô₂" 2 2 - √√3 2 1 2
1. Consider the C3 point group. The 2x2 matrices shown below form a matrix representation of this group. Use these matrices to evaluate the following combinations of multiple symmetry operations within this group. For example, Êô,ô, = Ê. C3 2 C3² √√3 - & ( ) 9) 2 2 √3 (a) ông Cg ốn (b) C30"Ĉ3 √3 2 1 ôv (₂) ô₂' 2 √3 2 √√3 2 1 2 ô₂" 2 2 - √√3 2 1 2
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Transcribed Image Text:1. Consider the C3 point group. The 2x2 matrices shown below form a matrix representation
of this group. Use these matrices to evaluate the following combinations of multiple
symmetry operations within this group. For example, Êôô, = Ê.
Ĉ3
Ê
1
(9)
1
(a) ô₂Ĉ30₂'
(b) Ĉ3ôv"Ĉ3
2
√3
2
√3
2
1
2
2
Ĉ3²
1
2
√3
2
√3
2
1
2.
ôv
0
(19₂)
ô₂'
2
√3
2
√3
2
1
2
ô₂"
√3
2
2
√3 1
2
2
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