The exchange coupling mentioned in Module 32-8 as being responsible for ferromagnetism is not the mutual magnetic interaction between two elementary magnetic dipoles. To show this, calculate (a) the magnitude of the magnetic field a distance of 10 nm away, along the dipole axis, from an atom with magnetic dipole moment 1.5 * 10-23 J/T (cobalt), and (b) the minimum energy required to turn a second identical dipole end for end in this field. (c) By comparing the latter with the mean translational kinetic energy of 0.040 eV, what can you conclude?

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter8: Atomic Structure
Section: Chapter Questions
Problem 49P: Show that U=B . (Hint: An infinitesimal amount of work is done to align the magnetic moment with the...
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The exchange coupling mentioned in Module 32-8 as
being responsible for ferromagnetism is not the mutual magnetic
interaction between two elementary magnetic dipoles. To show
this, calculate (a) the magnitude of the magnetic field a distance of
10 nm away, along the dipole axis, from an atom with magnetic
dipole moment 1.5 * 10-23 J/T (cobalt), and (b) the minimum
energy required to turn a second identical dipole end for end in
this field. (c) By comparing the latter with the mean translational
kinetic energy of 0.040 eV, what can you conclude?

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