The populations p of the up and down spin states of electrons in a magnetic field B

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The populations p of the up and down spin states of electrons in a magnetic field B are given byPdown = 1 + e 1   and Pup = -  1 + e

where DE = 2μBB is the energy difference between the two spin states. (See Exercise 4.53.) Plot these two populations as a function of temperature for B = 1 T. 


Exercise 4.53

The molar entropy of electron spins in a magnetic field B is'm  = R <  ledi /  1 In(1  e-/)

where ΔE = 2μBB is the separation in energy of the two spin states in a magnetic field, and μB is the Bohr magneton, μB = 9.274 * 10–24 J · T–1. Plot this function against temperature for the following values of B: 0.1 T, 1 T, 10 T, and 100 T. 

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Chemical Principles The Quest For Insight

ISBN: 9781464183959

7th Edition

Authors: Peter Atkins, Loretta Jones, Leroy Laverman

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