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In: Chemistry

Mn (CO)5Cl belongs in the C4v point group and has 2A1+B1+E CO stretching modes 1) determine...

Mn (CO)5Cl belongs in the C4v point group and has 2A1+B1+E CO stretching modes
1) determine the linear combination of the two A1 modes
2) show that the results in a are mutually orthogonal

Solutions

Expert Solution

Orthogonality relation for the rows of character table_

<i,j>=0 for i not equal to j and

<i,j>=1 for i=j

C4v character table gives the following values for A1 irreducible characters-

               E    2C4(z)     C2     2 v       2d              

A1          +1        +1        +1       +1         +1

A1*A1=   1          1            1         1            1

as i=j ,so A1*A1 is mutually orthogonal


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