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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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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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