Identification of force constants in β-brass

J. C. Norvell; Jens Aage Als-Nielsen

doi:10.1088/0022-3719/2/10/322

Identification of force constants in β-brass

J. C. Norvell, Jens Aage Als-Nielsen

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Abstract

The phonon dispersion curves of β-brass have previously been measured by Gilat and Dolling and a fit was obtained to a Born-von Kármán model with forces extending to the fourth nearest neighbours. Although a factor of 10 was found between the second-nearest-neighbour Cu-Cu and Zn-Zn force constants, the data did not allow an identification of these constants. By comparisons of neutron group intensities from two β-brass crystals, one with normal Cu and the other isotopically enriched with 65Cu, we are able to identify conclusively these force constants: αZn-Zn2nd similar, equals 10αCu-Cu2nd.

Original language	English
Journal	Journal of Physics C: Solid State Physics
Volume	2
Issue number	10
Pages (from-to)	1872-1876
ISSN	0022-3719
DOIs	https://doi.org/10.1088/0022-3719/2/10/322
Publication status	Published - 1969

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title = "Identification of force constants in β-brass",

abstract = "The phonon dispersion curves of β-brass have previously been measured by Gilat and Dolling and a fit was obtained to a Born-von K{\'a}rm{\'a}n model with forces extending to the fourth nearest neighbours. Although a factor of 10 was found between the second-nearest-neighbour Cu-Cu and Zn-Zn force constants, the data did not allow an identification of these constants. By comparisons of neutron group intensities from two β-brass crystals, one with normal Cu and the other isotopically enriched with 65Cu, we are able to identify conclusively these force constants: αZn-Zn2nd similar, equals 10αCu-Cu2nd.",

author = "Norvell, {J. C.} and Als-Nielsen, {Jens Aage}",

year = "1969",

doi = "10.1088/0022-3719/2/10/322",

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journal = "Journal of Physics C: Solid State Physics",

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T1 - Identification of force constants in β-brass

AU - Norvell, J. C.

AU - Als-Nielsen, Jens Aage

PY - 1969

Y1 - 1969

N2 - The phonon dispersion curves of β-brass have previously been measured by Gilat and Dolling and a fit was obtained to a Born-von Kármán model with forces extending to the fourth nearest neighbours. Although a factor of 10 was found between the second-nearest-neighbour Cu-Cu and Zn-Zn force constants, the data did not allow an identification of these constants. By comparisons of neutron group intensities from two β-brass crystals, one with normal Cu and the other isotopically enriched with 65Cu, we are able to identify conclusively these force constants: αZn-Zn2nd similar, equals 10αCu-Cu2nd.

AB - The phonon dispersion curves of β-brass have previously been measured by Gilat and Dolling and a fit was obtained to a Born-von Kármán model with forces extending to the fourth nearest neighbours. Although a factor of 10 was found between the second-nearest-neighbour Cu-Cu and Zn-Zn force constants, the data did not allow an identification of these constants. By comparisons of neutron group intensities from two β-brass crystals, one with normal Cu and the other isotopically enriched with 65Cu, we are able to identify conclusively these force constants: αZn-Zn2nd similar, equals 10αCu-Cu2nd.

U2 - 10.1088/0022-3719/2/10/322

DO - 10.1088/0022-3719/2/10/322

M3 - Journal article

SN - 0022-3719

VL - 2

SP - 1872

EP - 1876

JO - Journal of Physics C: Solid State Physics

JF - Journal of Physics C: Solid State Physics

IS - 10

ER -

Identification of force constants in β-brass

Abstract

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