Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 5, Problem 5.31P
To determine

The cohesive energy for a three-dimensional metal, including the effects of spin by repeating the analysis of Problem 2.58.

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For a mole of gaseous oxygen (O₂) at room temperature and atmospheric pressure, compute the following: U, H, F, G, S, and u. (The rotational constante for O₂ is 0.00018 eV. The electronic ground state has a degeneracy of 3.)
There is a one-dimensional solid lattice with two basis atoms of mass m and M, respectively (lattice constant = a). Let the interaction between atoms act only on adjacent atoms, and let the bonding force coefficient be C (Fig.). M C C a a) Draw the Brillouin zone and the approximate phonon dispersion w=w(K), and write the name of each phonon branch b) When K = TT/a, write down the normal mode energy and discuss the relative motion of adjacent atoms. c) If two atoms are of the same kind (m = M), plot the Brillouin %3D zone and phonon dispersion w=w(K).
Problem 5.5. A superconducting alloy has Hea = 150 koe and K = 96. Find the energy of an isolated vortex in this alloy. Compare it with the condensation energy stored in the normal core of the vortex.
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