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P10B.3 Consider the H,O molecule, which belongs to the group C, Take the molecule to lie in the yz-plane, with z directed along the C, axis; the mirror plane o, is the yz-plane, and ơ, is the xz-plane. Take as a basis the two Hls orbitals and the four valence orbitals of the O atom and set up the 6x 6 matrices that represent the group in this basis. (a) Confirm, by explicit matrix is reducible and spans 3A, + B, + 2B,. (Please help with part (b) I want to understand)

P10B.3 Consider the H,O molecule, which belongs to the group C, Take the molecule to lie in the yz-plane, with z directed along the C, axis; the mirror plane o, is the yz-plane, and ơ, is the xz-plane. Take as a basis the two Hls orbitals and the four valence orbitals of the O atom and set up the 6x 6 matrices that represent the group in this basis. (a) Confirm, by explicit matrix is reducible and spans 3A, + B, + 2B,. (Please help with part (b) I want to understand)

Chemistry
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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P10B.3 Consider the H,O molecule, which belongs to the group C, Take the molecule to lie in the yz-plane, with z directed along the C, axis; the mirror plane o, is the yz-plane, and ơ, is the xz-plane. Take as a basis the two Hls orbitals and the four valence orbitals of the O atom and set up the 6x 6 matrices that represent the group in this basis. (a) Confirm, by explicit matrix is reducible and spans 3A, + B, + 2B,. (Please help with part (b) I want to understand)
Transcribed Image Text:P10B.3 Consider the H,O molecule, which belongs to the group C, Take the molecule to lie in the yz-plane, with z directed along the C, axis; the mirror plane o, is the yz-plane, and ơ, is the xz-plane. Take as a basis the two Hls orbitals and the four valence orbitals of the O atom and set up the 6x 6 matrices that represent the group in this basis. (a) Confirm, by explicit matrix is reducible and spans 3A, + B, + 2B,. (Please help with part (b) I want to understand)
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