By R. F. Wallis
ISBN-10: 1483198383
ISBN-13: 9781483198385
Read Online or Download Lattice Dynamics. Proceedings of the International Conference Held at Copenhagen, Denmark, August 5–9, 1963 PDF
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Extra resources for Lattice Dynamics. Proceedings of the International Conference Held at Copenhagen, Denmark, August 5–9, 1963
Example text
The anomalous behaviour of the [ζζζ] branches near ζ = 0-45 has the appearance of a very pronounced Kohn anomaly but does not fit in with this simple idea of the shape of the Fermi surface. These anomalies may, however, be evidence for the sections of the Fermi sur face for the rf-electrons; this Fermi surface may bear some similarity to that discussed by LOMER ( 2 3 ) for the chromium group metals. (4) The frequency distribution function The frequency distribution function, g(v), can be calculated directly for niobium from the eighth neighbour Born-von Kärmän model which was fitted to the observed v(q).
The slope of heavy lines indicates the velocities of sound as calculated from elastic constants. The smooth curves were hand drawn through the experimental data. being (furtherwork is underway) itwas assumed that only central interactions up to the third nearest neighbours exist, which means (using Collins's notation) that: A1 = A2 = A3 = Bx = E2 = 0. i = £ i zinc single crystals (11) cut parallel to the (0002) plane, and the wavelength of the incident neu trons was 1-53 Ä. Two cylindrical zinc single crystals 4-5 and 7-5 cm in dia.
The first term on the right hand side in each case is the ordinary Coulomb contribution, and the other terms are the compensating ion-elec tron-ion contributions, including the electronelectron contribution. In these expressions G(Q) = f\Q) S(Q) where f(Q) is essentially a form factor related to the effective potential for the electron in the unit cell. Following Toya we have used BARDEEN'S expression for this factor. (6) The quantity S(Q) is a screening factor due to the electrons; we have used the expression quoted by Toya.
Lattice Dynamics. Proceedings of the International Conference Held at Copenhagen, Denmark, August 5–9, 1963 by R. F. Wallis
by William
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