In: Chemistry
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
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