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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 & Chemical Reactivity
Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter12: The Solid State
Section: Chapter Questions
Problem 19PS: Considering only the molecular orbitals formed by combinations of the 2s atomic orbitals, how many...
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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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