Using the Boltzmann’s law, show that, for a spin-1/2 nucleus at thermal equilibrium at temperature T in a magnetic field Bo, the probabilities of finding it in the a and ß states are: yhBo e kT ; Pg 1 Pa yhBo 1+e kT yhBo 1+e kT

Using the Boltzmann’s law, show that, for a spin-1/2 nucleus at thermal equilibrium at temperature T in a magnetic field Bo, the probabilities of finding it in the a and ß states are: yhBo e kT ; Pg 1 Pa yhBo 1+e kT yhBo 1+e kT

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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Question

Using the Boltzmann’s law, show that, for a spin-1/2 nucleus at thermal
equilibrium at temperature T in a magnetic field Bo, the probabilities of finding it in the a and ß states
are:
yħBo
e kT
1
yhBo
1+е kт
Pa
; Pg :
yhBo
1+е kT

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