Reduce the following reducible representation to irreducible representations:Oh E 8C3 6C₂ 6C4 3C₂ i 6S4 8S6 30h 60aT6 002200042Hint:OhA18A28EgTigT28AIRAzuEuTIMTzuE11233112338C3 6C₂ 6C41111-1Number of irreduciblerepresentations ofa given type0011-100-101T0-11-10-1T0-1order3C₂(=C4²)11212-1-1i11233-1انه نیک نیک-2-3-3numberof operations Xin the class654 856111-1-101-1-110-1100L7-1100character ofreduciblerepresentation30h112TT-21160 d1-10-11-1101-1character ofirreduciblerepresentation(R, Ry, R.)(x, y, z)x² + y² +z²(2z²x²-1², x² - y²)(xy, xz, yz)

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Reduce the following reducible representation to irreducible representations: Oh E 8C3 6C₂ 6C4 3C₁₂ i 6S4 8S6 8S6 30h 30h 60d T600 2 0004 2 Hint: Oh A18 A28 Eg Tig T28 AI Azu Eu TIM T₂M E 1 1 2 3 3 1 1 2 3 3 8C3 1 Number of irreducible representations of a given type -1 0 0 1 1 1 -1 0 0 0 6C₂ 6C₁ 1 1 1 1 0 -1 1 -1 0 0 1 -1 3C₂(=C₁³) 1 1 2 1 2 order -1 i 1 1 2 3 3 -1 200 number character of of operations X reducible in the class 654 1 -1 0 1 -1 -1 1 0 1 856 1 1 -1 0 0 -1 1 0 0 representation 30 1 1 2 -1 -1 -1 -1 -2 1 1 60₁ 1 -1 0 -1 1 -1 1 0 1 -1 X character of irreducible representation (R₂, Ry, R.) (x, y, z) x² + y² +2² (2z²x² - y2²₁x² - y²) (xy, xz, yz)

Reduce the following reducible representation to irreducible representations: Oh E 8C3 6C₂ 6C4 3C₁₂ i 6S4 8S6 8S6 30h 30h 60d T600 2 0004 2 Hint: Oh A18 A28 Eg Tig T28 AI Azu Eu TIM T₂M E 1 1 2 3 3 1 1 2 3 3 8C3 1 Number of irreducible representations of a given type -1 0 0 1 1 1 -1 0 0 0 6C₂ 6C₁ 1 1 1 1 0 -1 1 -1 0 0 1 -1 3C₂(=C₁³) 1 1 2 1 2 order -1 i 1 1 2 3 3 -1 200 number character of of operations X reducible in the class 654 1 -1 0 1 -1 -1 1 0 1 856 1 1 -1 0 0 -1 1 0 0 representation 30 1 1 2 -1 -1 -1 -1 -2 1 1 60₁ 1 -1 0 -1 1 -1 1 0 1 -1 X character of irreducible representation (R₂, Ry, R.) (x, y, z) x² + y² +2² (2z²x² - y2²₁x² - y²) (xy, xz, yz)

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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