Determine the resulting representations for the following products of irreducible representations.
(a) In
(b) In
(c) In
(d) In
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Physical Chemistry
- Draw the shape of the PF5 molecule and answer the following questions: Does the molecule have σh mirror plane(s)? If so, how many? (v) Does the molecule have σv mirror plane(s)? If so, how many? (vi) Does the molecule have σd mirror plane(s)? If so, how many? (vii) What is the point group of the PF5 molecule? (viii) WhatistheorderofthepointgroupofthePF5molecule? (ix) Using symmetry criteria, predict if the PF5 molecule is polar or non-polar. (x) Using symmetry criteria, predict if the PF5 molecule is chiral or non-chiral.arrow_forward(a) to (c)arrow_forward(A)Write the Hückel Hamiltonian matrix for benzene. (B) The pictures below represent a top view of the π molecular orbitals for benzene. They are labeled from A to F, in no order. Place the labels A, B, C, etc., in the boxes according to their energy. SHOW THE NODES. (B)arrow_forward
- A set of basis functions is found to span a reducible representation of the group D2 with characters 6,−2,0,0 (in the order of operations in the character table in the Resource section). What irreducible representations does it span?arrow_forward1. Find the point groups of the following shapes, interpreting (a) as a square and (b)-(p) as derivatives with lines perpendiarrow_forwardFind the representatives of the operations of the group Td in a basis of four H1s orbitals, one at each apex of a regular tetrahedron (as in CH4). You need give the representative for only one member of each class.arrow_forward
- (A)Write the Hückel Hamiltonian matrix for benzene. (B)The pictures below represent a top view of the molecular orbitals for benzene. They are labeled from A to F, in no order. Place the labels A, B, C, etc., in the boxes according to their energy. SHOW THE NODES. (B)arrow_forwardGive an example, with justification, of a non-trivial irreducible representation of D4.arrow_forwardDiscuss the meaning of the symbols in the following space group classification (image)arrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,