The UF_6 molecule is octahedral and falls in the O_h point group; you may consul

Question

The UF_6 molecule is octahedral and falls in the O_h point group; you may consult the right side of the O_h character table to answer these questions. (a) In which irreducible representation does the uranium f_xyz orbital fall? Explain what the capital letter in the label for this irreducible representation means. Explain what the lower case letter in the label for this irreducible representation means. (b) In which irreducible representation does the uranium f_z^3 orbital fall? Explain what the capital letter in the label for this irreducible representation means. Symmetry operations of this point group interchange the f_z^3 orbital with which other f orbital(s)?

Explanation / Answer

A) the irreducible representation the uranium f(xyz) orbital fall = A1u

B) the Irreducible representation the uranium f(z3) orbital fall = T1u

In Octahedral character table,

    A and B are single degenerate representation, with the formal transforming symmetrically around the principle axis of the group and later symmetrically. E,T,G, H are doubly, triply, quadruply, quintaply degenerate representation.

g and u subscripts donates symmetry and antisymmetry, with respective to centre of inversion.

"1" and "2" subscripts donates symmetry and antisymmetry with respective to non rotational axis

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