1.Provided the following character table for the point group D3h,in the reducibledetermine the irreducible representations containedrepresentation r. Show your work.D, (6m2)3C236yh = 12E2C,2S,3h3A111x² + y², z²-11-1R.E'22(x, y)(x² – y², xy)1-1-1-1-1-11E"2-1-21(R,, R,)(zx, yz)63-2-1-22.

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1. Provided the following character table for the point group D3h, the irreducible representations contained determine in the reducible representation r. Show your work. D3h (6m2) E 2C, 3C, 25, 30, h = 12 A x² + y°, z? 1 1 1 1 1 1 A 1 1 -1 1 1 -1 R. E' -1 -1 (x, y) (x² – y², xy) A" A" 1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 E" -1 -2 1 (R,, R,) (zx, yz) 6 3 -2 2 -1 -2

1. Provided the following character table for the point group D3h, the irreducible representations contained determine in the reducible representation r. Show your work. D3h (6m2) E 2C, 3C, 25, 30, h = 12 A x² + y°, z? 1 1 1 1 1 1 A 1 1 -1 1 1 -1 R. E' -1 -1 (x, y) (x² – y², xy) A" A" 1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 E" -1 -2 1 (R,, R,) (zx, yz) 6 3 -2 2 -1 -2

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter13: Introduction To Symmetry In Quantum Mechanics

Section: Chapter Questions

Problem 13.27E: Determine the point group of the following molecules. a cis1,2 Dichloroethylene b trans1,2...

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