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where ) are the spinors of s, i.e. |+) = and |-) = angle. The spin of electron 2 is in a spin state given by (1) and a is a polar angle and 3, an azimuthal |s2, ms₂) = cos a₂+) + sin a₂e¹₂|-) Find the probability that the two-electron spin state is in a triplet state (total s = 1).

where ) are the spinors of s, i.e. |+) = and |-) = angle. The spin of electron 2 is in a spin state given by (1) and a is a polar angle and 3, an azimuthal |s2, ms₂) = cos a₂+) + sin a₂e¹₂|-) Find the probability that the two-electron spin state is in a triplet state (total s = 1).

Principles of Modern Chemistry
Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter20: Molecular Spectroscopy And Photochemistry
Section: Chapter Questions
Problem 51AP
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Q3.2) Answer question completely and with much detail as possible. Need to understand the concept.
Consider a two electrons system, where the spin of each electron points in an arbitrary direction (see Quan- tum Spin notes pp 20-22). The spin of electron 1, is in a state described by |81, msı) = cos ɑ1|+) + sin a1e' () where |+) are the spinors of ŝz, i.e. |+) = and |-) = and a is a polar angle and 3, an azimuthal angle. The spin of electron 2 is in a spin state given by |s2, ms2) = cos a2|l+) + sin aze®²|–) Find the probability that the two-electron spin state is in a triplet state (total s = 1).
Transcribed Image Text:Consider a two electrons system, where the spin of each electron points in an arbitrary direction (see Quan- tum Spin notes pp 20-22). The spin of electron 1, is in a state described by |81, msı) = cos ɑ1|+) + sin a1e' () where |+) are the spinors of ŝz, i.e. |+) = and |-) = and a is a polar angle and 3, an azimuthal angle. The spin of electron 2 is in a spin state given by |s2, ms2) = cos a2|l+) + sin aze®²|–) Find the probability that the two-electron spin state is in a triplet state (total s = 1).
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