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

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

queen_honey_blossom answered 2 years ago

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