Question: a) Consider the molecule trans-[CrBr 4 Cl 2 ] 3- . All its symmetry operations are listed in the character table in Cotton on pg

a) Consider the molecule trans-[CrBr₄Cl₂]^3-. All its symmetry operations are listed in the character table in Cotton on pg 431. Label one of the Br atoms. Perform every symmetry operation on it and show how the label moves in each case.

b) Determine the matrices for all the operations of the Cartesian coordinates (x,y,z) in C_4v. Use these to determine the irreducible representations of the Cartesian coordinates. Verify your work using the character tables.

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