Consider the 3?? 2 orbital of the central atom of a molecule with symmetry C2v. To which symmetry representation does 3?? 2 belong to? Justify graphically your answer. the answer is attched but can you please give the reasonings because im not understanding it Z3dz²XE d(z²)=d(z²), character 1C2 d(z²) = d(z²), character 1o(xz) d(z²) = d(z²), character 1o(yz) d(z²) = d(z²), character 1The 3d(z²) orbital has characters (1, 1, 1, 1) and therefore belongs to thesymmetric representation A1 of the C2 point group.

In molecular symmetry, different molecular orbitals can be categorized into symmetry representations…

Answered: Consider the 3?? 2 orbital of the…

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Consider the 3?_? 2 orbital of the central atom of a molecule with symmetry C2v. To which symmetry representation does 3?_? 2 belong to? Justify graphically your answer. the answer is attched but can you please give the reasonings because im not understanding it

Z
3dz²
X
E d(z²)=d(z²), character 1
C2 d(z²) = d(z²), character 1
o(xz) d(z²) = d(z²), character 1
o(yz) d(z²) = d(z²), character 1
The 3d(z²) orbital has characters (1, 1, 1, 1) and therefore belongs to the
symmetric representation A1 of the C2 point group.

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