Simple refinements of Brillouin zone integration

Calculations of thermodynamic properties of crystals by means of quasi-harmonic lattice dynamics require numerical integrations over the Brillouin zone, using successively finer grids to achieve convergence to the required precision; but for complex crystals convergence may be uneconomically slow. A...

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Autor principal: Bruno, J.A.O
Otros Autores: Allan, N.L, Barron, T.H.K
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2000
Acceso en línea:Registro en Scopus
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Registro en la Biblioteca Digital
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100 1 |a Bruno, J.A.O. 
245 1 0 |a Simple refinements of Brillouin zone integration 
260 |c 2000 
270 1 0 |m Bruno, J.A.O.; Departamento de Química Inorgánica, Analítica y Química Física, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina 
506 |2 openaire  |e Política editorial 
504 |a Barron, T.H.K., (1998) Thermal Expansion of Solids (CINDAS Data Series on Material Properties Vol I-4), 1-4. , ed C Y Ho (Materials Park, OH: ASM International) ch 1 
504 |a Barron, T.H.K., Gibbons, T.G., (1974) J. Phys. C: Solid State Phys., 7, p. 3287 
504 |a Barron, T.H.K., Pasternak, A., (1987) J. Phys. C: Solid State Phys., 20, p. 215 
504 |a Barron, T.H.K., White, G.K., (1999) Heat Capacity and Thermal Expansion at Low Temperatures, , New York: Kluwer/Plenum 
504 |a Bruno, J.A.O., Allan, N.L., Barron, T.H.K., Turner, A.D., (1998) Phys. Rev. B, 58, p. 8416 
504 |a Chadi, D.J., Cohen, M.L., (1973) Phys. Rev. B, 8, p. 5747 
504 |a Cunningham, S.L., (1974) Phys. Rev. B, 10, p. 4988 
504 |a Dal Corso, A., (1996) Quantum-Mechanical Ab-Initio Calculation of the Properties of Crystalline Materials (Springer Lecture Notes in Chemistry Vol 67), 67, p. 77. , ed C Pisani (Berlin: Springer) 
504 |a Gilat, G., (1976) Vibrational Properties of Solids (Methods in Computational Physics Vol 15), 15, p. 317. , ed G Gilat (London: Academic) 
504 |a Lacks, D., Rutledge, G.C., (1994) J. Phys. Chem., 98, p. 1222 
504 |a Monkhorst, H.J., Pack, J.D., (1976) Phys. Rev. B, 13, p. 5188 
504 |a Taylor, M.B., Barrera, G.D., Allan, N.L., Barron, T.H.K., (1997) Phys. Rev. B, 56, p. 14380 
504 |a Wallace, D.C., (1972) Thermodynamics of Crystals, , New York: Wiley 
520 3 |a Calculations of thermodynamic properties of crystals by means of quasi-harmonic lattice dynamics require numerical integrations over the Brillouin zone, using successively finer grids to achieve convergence to the required precision; but for complex crystals convergence may be uneconomically slow. A model for orthorhombic polyethylene is used to show how convergence may be improved (1) at low temperatures by taking successively finer grids close to the origin of reciprocal space, and (2) at all temperatures by using a three-dimensional Simpson's rule. © 2000 IOP Publishing Ltd.  |l eng 
593 |a Departamento de Química Inorgánica, Analítica y Química Física, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina 
593 |a School of Chemistry, University of Bristol, Cantock's Close, Bristol BS8 1TS, United Kingdom 
700 1 |a Allan, N.L. 
700 1 |a Barron, T.H.K. 
773 0 |d 2000  |g v. 12  |h pp. 549-558  |k n. 5  |p J Phys Condens Matter  |x 09538984  |w (AR-BaUEN)CENRE-311  |t Journal of Physics Condensed Matter 
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