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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).

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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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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