Square pyramidal MX4 molecule belongs to C4v point group and symmetry elements are E, 2C4, C2, 2σv, 2σd the trace for the reducible representation is-
a) 5 1 1 1 3
b) 5 1 1 1 1
c) 1 1 1 1 1
d) 4 1 1 1 3
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511113 this is the answer in this question ❓⁉️
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SQUARE PYRAMIDAL
Explanation ;
E ;
Here operation E means identity operation . when we operate
identity the whole molecule remain same . so here no of atoms intact is 5 .
2C4 ;
The C4(rotation of 90 degree) axis will be perpendicular to the molecule and through the metal center . As the molecule here rotated by 90 degree only the metal center remain intact . So here the no of atoms unaltered is 1 .
C2 ;
The C2( rotation of 180 degree) axis will be in the same position as C4 . So here also 1 atom (metal center) will be unaltered i.e. no of atom unaltered is 1 .
sigma (v) ;
by this operation no of atoms unaltered is 1 .
sigma (d) ;
So here the no of atoms unaltered is 3 .
The Reducible representation will be 51113
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