Artículo

Barrera, G.D.; Bruno, J.A.O.; Barron, T.H.K.; Allan, N.L. "Negative thermal expansion" (2005) Journal of Physics Condensed Matter. 17(4):R217-R252
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Abstract:

There has been substantial renewed interest in negative thermal expansion following the discovery that cubic ZrW2O8 contracts over a temperature range in excess of 1000 K. Substances of many different kinds show negative thermal expansion, especially at low temperatures. In this article we review the underlying thermodynamics, emphasizing the roles of thermal stress and elasticity. We also discuss vibrational and non-vibrational mechanisms operating on the atomic scale that are responsible for negative expansion, both isotropic and anisotropic, in a wide range of materials.

Registro:

Documento: Artículo
Título:Negative thermal expansion
Autor:Barrera, G.D.; Bruno, J.A.O.; Barron, T.H.K.; Allan, N.L.
Filiación:Departamento de Química, Univ. Nacional de la Patagonia SJB, Ciudad Universitaria, 9000 Cotnodoro Rivadavia, Argentina
Universidad de Buenos Aires, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón 2, 1428 Buenos Aires, Argentina
School of Chemistry, University of Bristol, Cantock's Close, Bristol BS8 1TS, United Kingdom
Palabras clave:Anisotropy; Computer simulation; Dilatometers; Elasticity; Electronic structure; Free energy; Lattice vibrations; Mathematical models; Microstructure; Molecular dynamics; Perturbation techniques; Specific heat; Thermal stress; Thermodynamics; Thin films; Isotropy; Multilayer relaxations; Negative thermal expansion; Vibrational mechanisms; Thermal expansion
Año:2005
Volumen:17
Número:4
Página de inicio:R217
Página de fin:R252
DOI: http://dx.doi.org/10.1088/0953-8984/17/4/R03
Título revista:Journal of Physics Condensed Matter
Título revista abreviado:J Phys Condens Matter
ISSN:09538984
CODEN:JCOME
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09538984_v17_n4_pR217_Barrera

Referencias:

  • Mary, T.A., Evans, J.S.O., Vogt, T., Sleight, A.W., (1996) Science, 272, p. 90
  • Evans, J.S.O., Mary, T.A., Vogt, T., Subramanian, M.A., Sleight, A.W., (1996) Chem. Mater., 8, p. 2809
  • Sleight, A.W., (1998) Annu. Rev. Mater. Sci., 28, p. 29
  • Evans, J.S.O., (1999) J. Chem. Soc. Dalton Trans., p. 3317
  • Collins, J.G., White, G.K., (1964) Prog. Low Temp. Phys., 4, p. 450
  • Barron, T.H.K., (1970) J. Appl. Phys., 41, p. 5044
  • Yates, B., (1972) Thermal Expansion, , New York: Plenum
  • Krishnan, R.S., Srinivasan, R., Devanarayanan, S., (1979) Thermal Expansion of Crystals, , Oxford: Pergamon
  • Barron, T.H.K., Collins, J.G., White, G.K., (1980) Adv. Phys., 29, p. 609
  • Alamo, J., Roy, R., (1984) J. Am. Ceram. Soc., 67, pp. C78
  • Chu, C.N., Saka, N., Sun, N.P., (1987) Mater. Sci. Eng., 95, p. 303
  • Roy, R., Agrawal, D.K., McKinstry, H.A., (1989) Annu. Rev. Mater. Sci., 19, p. 59
  • Agrawal, D.K., (1994) J. Mater. Ed., 16, p. 139
  • Barron, T.H.K., White, G.K., (1999) Heat Capacity and Thermal Expansion at Low Temperatures, , New York: Kluwer
  • Aleksandrovskii, A.N., Eselson, V.B., Manzhelii, V.G., Udovidchenko, B.G., Soldatov, A.V., Sundqvist, B., (1997) Low Temp. Phys., 23, p. 943
  • Adenstedt, H., (1936) Ann. Phys., Lpz., 26, p. 69
  • Agrawal, D.K., Roy, R., McKinstry, H.A., (1987) Mater. Res. Bull., 22, p. 83
  • Agrawal, D.K., Halliyal, A., Belsick, J., (1988) Mater. Res. Bull., 23, p. 159
  • Ashcroft, N.W., Mermin, N.D., (1976) Solid State Physics, , New York: Holt, Rinehart and Winston
  • Pippard, A.B., (1964) The Elements of Classical Thermodynamics, , Cambridge: Cambridge University Press
  • Grüneisen, E., (1926) Handb. Phys., 10, p. 1
  • Barron, T.H.K., (1998) Thermal Expansion of Solids (CINDAS Data Series on Material Properties), I-4. , (ed C Y Ho) ed R E Taylor (Materials Park, OH: ASM International) chapter 1
  • Born, M., Huang, K., (1954) Dynamical Theory of Crystal Lattices, , Oxford: Clarendon
  • Barron, T.H.K., Klein, M.L., (1974) Dynamical Properties of Solids, 1. , ed G K Horton and A A Maradudin (Amsterdam: North-Holland) chapter 7
  • Fornasini, P., (2001) J. Phys.; Condens. Matter, 13, p. 7859
  • Barron, T.H.K., Gibbons, T.G., (1974) J. Phys. C: Solid State Phys., 7, p. 3260
  • Barron, T.H.K., Gibbons, T.G., (1974) J. Phys. C: Solid State Phys., 7, p. 3269
  • Barron, T.H.K., Gibbons, T.G., (1974) J. Phys. C: Solid State Phys., 7, p. 3287
  • Barron, T.H.K., (1955) Phil. Mag., 46, p. 720
  • Barron, T.H.K., (1957) Ann. Phys., 1, p. 77
  • Bruno, J.A.O., Allan, N.L., Barron, T.H.K., Turner, A.D., (1998) Phys. Rev. B, 58, p. 8416
  • Blackman, M., (1958) Phil Mag., 3, p. 831
  • Sikka, S.K., (2004) J. Phys.: Condens. Matter, 16, pp. S1033
  • Simon, M.E., Varma, C.M., (2001) Phys. Rev. Lett., 86, p. 1781
  • Phillips, J.C., (1970) Rev. Mod. Phys., 42, p. 317
  • White, M.A., Lushington, K.J., Morrison, J.A., (1978) J. Chem. Phys., 69, p. 4227
  • Schafer, W., Kirfel, A., (2002) Appl. Phys. A, 74, pp. S1010
  • Tiano, W., Dapiaggi, M., Artioli, G., (2003) J. Appl. Crystallogr., 36, p. 1461
  • Beccara, S., Dalba, G., Fornasini, P., Grisenti, R., Sanson, A., (2002) Phys. Rev. Lett., 89, p. 025503
  • Pryde, A.K.A., Hammonds, K.D., Dove, M.T., Heine, V., Gale, J.D., Warren, M.C., (1996) J. Phys.: Condens. Matter, 8, p. 10973
  • Giddy, A.P., Dove, M.T., Pawley, G.S., Heine, V., (1993) Acta Crystallogr. A, 49, p. 697
  • Pryde, A.K.A., Dove, M.T., Heine, V., (1998) J. Phys.: Condens. Matter, 10, p. 8417
  • Welche, P.L.R., Heine, V., Dove, M.T., (1998) Phys. Chem. Miner., 26, p. 63
  • Heine, V., Welche, P.R.L., Dove, M.T., (1999) J. Am. Ceram. Soc., 82, p. 1793
  • Dove, M.T., Hammonds, K.D., Harris, M.J., Heine, V., Keen, D.A., Pryde, A.K.A., Trachenko, K., Warren, M.C., (2000) Miner. Mag., 64, p. 377
  • Tao, J.Z., Sleight, A.W., (2003) J. Phys. Chem. Solids, 64, p. 1473
  • Ernst, G., Broholm, C., Kowach, G.R., Ramirez, A.P., (1998) Nature, 396, p. 147
  • Mittal, R., Chaplot, S.L., Schober, H., Mary, T.A., (2001) Phys. Rev. Lett., 86, p. 4692
  • Ramirez, A.P., Kowach, G.R., (1998) Phys. Rev. Lett., 80, p. 4903
  • Mittal, R., Chaplot, S.L., (1999) Phys. Rev. B, 60, p. 7234
  • Ravindran, T.R., Arora, A.K., Mary, T.A., (2000) Phys. Rev. Lett., 84, p. 3879
  • Cao, D., Bridges, F., Kowach, G.R., Ramirez, A.P., (2002) Phys. Rev. Lett., 89, p. 215902
  • Drymiotis, F.R., Ledbetter, H., Betts, J.B., Kimura, T., Lashley, J.C., Migliori, J.C., Ramirez, A., Van Duijn, J., (2004) Phys. Rev. Lett., 93, p. 025502
  • David, W.I.F., Evans, J.S.O., Sleight, A.W., (1999) Europhys. Lett., 46, p. 661
  • Allen, S., Evans, J.S.O., (2003) Phys. Rev. B, 68, p. 134101
  • Nakajima, N., Yamamura, Y., Tsuji, T., (2003) Solid Sate Commun., 128, p. 193
  • Korthuis, V., Khosrovani, N., Sleight, A.W., Roberts, N., Dupree, R., Warren, W.W., (1995) Chem. Mater., 7, p. 412
  • Taylor, D., (1984) Br. Ceram. Trans. J., 83, p. 129
  • Khosrovani, N., Korthuis, V., Sleight, A.W., Vogt, T., (1996) Inorg. Chem., 35, p. 485
  • Carlson, S., Krogh Andersen, A.M., (2001) J. Appl. Crystallogr., 34, p. 7
  • Yamahara, K., Okazaki, K., Kawamura, K., (2001) J. Non-Cryst. Solids, 291, p. 32
  • Achary, S.N., Jayakumar, O.D., Tyagi, A.K., Kulshresththa, S.K., (2003) J. Solid State Chem., 176, p. 37
  • Couves, J.W., Jones, R.H., Parker, S.C., Tschaufeser, P., Catlow, C.R.A., (1993) J. Phys.: Condens. Matter, 5, pp. L329
  • Tschaufeser, P., Parker, S.C., (1995) J. Phys. Chem., 99, p. 10609
  • Attfield, M.P., Sleight, A.W., (1998) Chem. Commun., p. 601
  • Huang, L.P., Kieffer, J., (2004) Phys. Rev. B, 69, p. 224204
  • Phillips, W.A., (1972) Low Temp. Phys., 7, p. 351
  • Anderson, P.W., Halperin, B.I., Varma, C.M., (1972) Phil. Mag., 25, p. 1
  • Molina, M.I., Mattis, D.C., (1991) Phys. Lett. A, 159, p. 337
  • Bailey, A.C., Yates, B., (1970) J. Appl. Phys., 41, p. 5088
  • Barron, T.H.K., Gibbons, T.G., (1974) J. Phys. C: Solid State Phys., 7, p. 3287
  • Barron, R.M., Barron, T.H.K., Mummery, P.M., Sharkey, M., (1988) Can. J. Chem., 66, p. 718
  • Thurston, R.N., (1964) Physical Acoustics, 1 A, p. 1. , ed W P Mason (New York: Academic)
  • Barron, T.H.K., Munn, R.W., (1967) Phil. Mag., 15, p. 85
  • Barron, T.H.K., Munn, R.W., (1970) Pure Appl. Chem., 22, p. 527
  • Wallace, D.C., (1970) Solid State Phys., 25, p. 301
  • Munn, R.W., (1972) J. Phys. C: Solid State Phys., 5, p. 535
  • Wallace, D.C., (1972) Thermodynamics of Crystals, , New York: Wiley
  • Hearmon, R.F.S., (1979) Landolt-börnstein, 3 (11). , ed K-H Hellwege (Berlin: Springer) chapter I
  • Ibach, H., (1969) Phys. Status Solidi, 33, p. 257
  • Yates, B., Cooper, R.F., Kreitman, M.M., (1971) Phys. Rev. B, 4, p. 1314
  • Dantl, G., (1962) Z. Phys., 166, p. 115
  • Riley, D.P., (1945) Proc. Phys. Soc., 57, p. 486
  • Kellet, E.A., Richards, B.P., (1964) J. Nucl. Mater., 12, p. 184
  • Yates, B., Overy, M.J., Pirgon, O., (1975) Phil. Mag., 32, p. 847
  • White, G.K., (1972) J. Phys. C: Solid State Phys., 5, p. 2731
  • Taylor, J.B., Bennett, S.L., Heyding, R.D., (1965) J. Phys. Chem. Solids, 26, p. 69
  • Munn, R.W., (1969) Adv. Phys., 18, p. 515
  • Soriano, M.R., Barrera, G.D., Allan, N.L., (2001) Chem. Phys. Lett., 350, p. 543
  • Baughman, R.H., (1973) J. Chem. Phys., 58, p. 2976
  • Gibbons, T.G., (1974) J. Chem. Phys., 60, p. 1094
  • Grosse, R., Krause, P., Meissner, M., Tausend, A., (1978) J. Phys. C: Solid State Phys., 11, p. 45
  • Arnold, U., Grosse, P., (1968) Phys. Status Solidi, 28, pp. K93
  • Gibbons, T.G., (1973) Phys. Rev. B, 7, p. 1410
  • Lacks, D.J., Rutledge, G.C., (1994) J. Phys. Chem., 98, p. 1222
  • Lacks, D.J., Rutledge, G.C., (1994) Macromolecules, 27, p. 7197
  • Lacks, D.J., Rutledge, G.C., (1995) Macromolecules, 28, p. 1115
  • Tasumi, M., Simanouchi, T., (1965) J. Chem. Phys., 43, p. 1245
  • Dadobaev, G., Slutsker, A.I., (1981) Sov. Phys. - Solid State, 23, p. 1131
  • White, G.K., Choy, C.L., (1984) J. Polym. Sci. Polym. Phys. Edn, 22, p. 835
  • White, G.K., Smith, T.F., Birch, J.A., (1976) J. Chem. Phys., 65, p. 554
  • White, G.K., Collocott, S.J., Collins, J.G., (1990) J. Phys.: Condens. Matter, 2, p. 7715
  • Li, J., Yokochi, A., Amos, T.G., Sleight, A.W., (2002) Chem. Mater., 14, p. 2602
  • Krivovichev, S.V., Filatov, S.K., Burns, P.C., (2002) Can. Mineral., 40, p. 1185
  • White, G.K., Roberts, R.B., (1988) Aust. J. Phys., 41, p. 791
  • Stevens, R., Woodfield, B.F., Boerio-Goates, J., Crawford, M.K., (2004) J. Chem. Thermodyn., 36, p. 349
  • Wright, A.F., (1976) 4th Int. Conf. on Phys. Non-crystalline Solids, p. 598. , ed G H Frischat (Aedermannsdorf, Switzerland: Trans. Tech. Publications)
  • Wright, A.F., Lehmann, M.S., (1981) J. Solid State Chem., 36, p. 371
  • Kihara, K., (2001) Phys. Chem. Miner., 28, p. 365
  • Smirnov, M.B., (1999) Phys. Rev. B, 59, p. 4036
  • Barron, T.H.K., Pasternak, A., (1987) J. Phys. C: Solid State Phys., 20, p. 215
  • Aliouane, N., Gagou, Y., Elkaim, E., Lauriat, J.P., Badeche, T., Saint-Gregoire, P., (2002) Ferroelectrics, 269, p. 279
  • Kosten, K., Arnold, H., (1980) Z. Kristallogr., 152, p. 119
  • Mittal, R., Chaplot, S.L., Kolesnikov, A.I., Loong, C.-K., Jayakumar, O.D., Kulshreshtha, S.K., (2002) Phys. Rev. B, 66, p. 174304
  • Chang, Z.-P., Barsch, G.R., (1976) IEEE Trans. Sonics Ultrason., 23, p. 127
  • Gale, J.D., (1998) J. Phys. Chem. B, 102, p. 5423
  • Lightfoot, P., Woodcock, D.A., Maple, M.J., Villaescusa, L.A., Wright, P.A., (2001) J. Mater. Chem., 11, p. 212
  • Tao, J.Z., Sleight, A.W., (2003) J. Phys. Chem. Solids, 64, p. 1473
  • Villaescusa, L.A., Lightfoot, P., Teat, S.J., Morris, R.E., (2001) J. Am. Chem. Soc., 123, p. 5453
  • Bull, I., Lightfoot, P., Villaescusa, L.A., Bull, L.M., Gover, R.K.B., Evans, J.S.O., Morris, R.E., (2003) J. Am. Chem. Soc., 125, p. 4342
  • Marinkovic, B.A., Jardim, P.M., Saavedra, A., Lau, L.Y., Baehtz, C., De Avillez, R.R., Rizzo, F., (2004) Microporous Mesoporous Mater., 71, p. 117
  • Evans, J.S.O., Hu, Z., Jorgensen, J.D., Argyriou, D.N., Short, S., Sleight, A.W., (1997) Science, 275, p. 61
  • Jorgensen, J.D., Hu, Z., Teslic, S., Argyriou, D.N., Short, S., Evans, J.S.O., Sleight, A.W., (1999) Phys. Rev. B, 59, p. 215
  • Abrahams, S.C., (1966) J. Chem. Phys., 45, p. 2745
  • Evans, J.S.O., Mary, T.A., Sleight, A.W., (1998) J. Solid State Chem., 137, p. 148
  • Evans, J.S.O., Mary, T.A., (2000) Int. J. Inorg. Mater., 2, p. 143
  • Evans, J.S.O., Mary, T.A., Sleight, A.W., (1998) Physica B, 241-243, p. 311
  • Tyagi, A.K., Achary, S.N., Mathews, M.D., (2002) J. Alloys Compounds, 339, p. 207
  • Forster, P.M., Yokochi, A., Sleight, A.W., (1998) J. Solid State Chem., 140, p. 157
  • Woodcock, D.A., Lightfoot, P., Ritter, C., (2000) J. Solid State Chem., 149, p. 92
  • Sumithra, S., Umarji, A.M., (2003) Proc. Indian Acad. Sci. Chem. Sci., 115, p. 695
  • Evans, J.S.O., Mary, T.A., Sleight, A.W., (1997) J. Solid State Chem., 133, p. 580
  • Imanaka, N., Hiraiwa, M., Adachi, G., Dabkowska, H., Dabkowski, A., (2000) J. Cryst. Growth, 220, p. 176
  • Mary, T.A., Sleight, A.W., (1999) J. Mater. Res., 14, p. 912
  • Shen, R., Wang, T.M., (2004) Rare Metal Mater. Eng., 33, p. 91
  • Hummel, F.A., (1948) Foote Prints Chemicals Metals Alloys Ores, 20, p. 3
  • Hummel, F.A., (1951) J. Am. Ceram. Soc., 34, p. 235
  • Collocot, S.J., (1985) J. Non-cryst. Solids, 70, p. 291
  • Woodcock, D.A., Lightfoot, P., Smith, R.I., (1998) Mater. Res. Soc. Symp. Proc., 547, p. 191
  • Limaye, S.Y., Agrawal, D.K., McKinstry, H.A., (1987) J. Am. Ceram. Soc., 70, pp. C232
  • Roy, R., Agrawal, D.K., Alamo, J., Roy, R.A., (1984) Mater. Res. Bull., 19, p. 471
  • Woodcock, D.A., Lightfoot, P., Ritter, C., (1998) Chem. Commun., p. 107
  • Alamo, J., (1993) Solid State Ion., 63-65, p. 547
  • Roy, R., Agrawal, D.K., (1997) Nature, 388, p. 433
  • Amos, T.G., Yokochi, A., Sleight, A.W., (1998) J. Solid State Chem., 141, p. 303
  • Amos, T.G., Sleight, A.W., (2001) J. Solid State Chem., 160, p. 230
  • Launay, S., Wallez, G., Quarton, M., (2001) Chem. Mater., 13, p. 2833
  • Hohn, F., Pantenburg, I., Ruschewitz, U., (2002) Chem. Eur. J., 8, p. 4536
  • Landert, M., Kelly, A., Steam, R.J., Hine, P.J., (2004) J. Mater. Sci., 39, p. 3563
  • Ott, H.R., Lüthi, B., (1977) Z. Phys. B, 28, p. 141
  • Ott, H.R., (1975) Solid State Commun., 16, p. 1355
  • Dobbs, J.N., Foote, M.C., Anderson, A.C., (1986) Phys. Rev. B, 33, p. 4178
  • Heberlein, D.C., Adams, E.D., (1970) J. Low Temp. Phys., p. 3115
  • Loktev, V.M., (1999) Low Temp. Phys., 25, p. 823
  • White, G.K., (1972) J. Phys. F: Met. Phys., 2, p. 865
  • Mukherjee, G.D., Bansal, C., Chatterjee, A., (1996) Phys. Rev. Lett., 76, p. 1876
  • Andres, K., (1968) Phys. Rev., 170, p. 614
  • White, G.K., (1962) Cryogenics, 2, p. 292
  • Harding, G.L., Lanchester, P.C., Street, R., (1971) J. Phys. C: Solid State Phys., 4, p. 2923
  • Hunter, B.A., Kennedy, B.J., Vogt, T., (2004) Phys. Rev. B, 69, p. 020410
  • White, G.K., (1989) J. Phys.: Condens. Matter, 1, p. 6987
  • Guillaume, C.E., (1897) C. R. Acad. Sci., 125, p. 235
  • Collocott, S.J., White, G.K., (1986) Cryogenics, 26, p. 402
  • Wasserman, E.F., (1989) Phys. Scr. T, 25, p. 209
  • Wasserman, E.F., (1990) Ferromagnetic Materials, 5. , ed K H J Buschow and E P Wohlfarth (Amsterdam: North-Holland) chapter 3
  • Wassermann, E.F., (1991) J. Magn. Magn. Mater., 100, p. 346
  • Shiga, M., (1994) Material Science and Technology Part II, 3 B, p. 159. , ed R W Cahn, P Haasen and E J Kramer (Weinheim: VCH)
  • Wassermann, E.F., (1997) The Invar Effect: a Centennial Symposium, p. 51. , ed J Wittenauer (Warrendale, PA: Minerals, Metals and Materials Society)
  • Van Schilfgaarde, M., Abrikosov, I.A., Johansson, B., (1999) Nature, 400, p. 46
  • Khmelevskyi, S., Turek, I., Mohn, P., (2003) Phys. Rev. Lett., 91, p. 037201
  • Khmelevskyi, S., Mohn, P., (2004) Phys. Rev. B, 69, p. 140404
  • Arvanitidis, J., Papagelis, K., Margadonna, S., Prassides, K., Fitch, A.N., (2003) Nature, 425, p. 599
  • Sleight, A., (2003) Nature, 425, p. 674
  • Mattens, W.C.M., Hölscher, H., Tuin, G.J.M., Moleman, A.C., De Boer, F.R., (1980) J. Magn. Magn. Mater., 15-18, p. 982
  • Mook, H., Holtzberg, F., (1981) Valence Fluctuations in Solids, p. 113. , ed L M Falicov, W Hanke and M B Maple (Amsterdam: North-Holland)
  • Salvador, J.R., Guo, F., Hogan, T., Kanatzidis, M.G., (2003) Nature, 425, p. 702
  • Kuznetsov, A.Yu., Dmitriev, V.P., Bandilet, O.I., Weber, H.-P., (2003) Phys. Rev. B, 68, p. 064109
  • Anshukova, N.V., Bulychev, B.M., Golovashkin, A.I., Ivanova, L.I., Krynetskii, I.B., Minakov, A.A., Rusakov, A.P., (2003) J. Exp. Theor. Phys., 97, p. 70
  • Ott, H.R., (1987) Prog. Low Temp. Phys., 11, p. 215
  • Andres, K., Graebner, J.E., Ott, H.R., (1975) Phys. Rev. Lett., 35, p. 1779
  • Ribault, M., Benoit, A., Flouquet, J., Palleau, P., (1979) J. Physique Lett., 40, pp. L413
  • Ott, H.R., Rudigier, H., Fedder, E., Fisk, Z., Smith, J.L., (1986) Phys. Rev. B, 33, p. 126
  • Springford, M., (1997) Electron, a Centenary Volume, , ed M Springford (Cambridge: Cambridge University Press) chapter 8
  • Mikkelsen, A., Jiruse, J., Adams, D.L., (1999) Phys. Rev. B, 60, p. 7796
  • Busch, B.W., Gustafsson, T., (2000) Phys. Rev. B, 61, p. 16097
  • Ismail, Plummer, E.W., Lazzeri, M., De Gironcoli, S., (2001) Phys. Rev. B, 63, p. 233401
  • Ismail, Hofmann, Ph., Baddorf, A.P., Plummer, E.W., (2002) Phys. Rev. B, 66, p. 245414
  • Marzari, N., Vanderbilt, D., De Vita, A., Payne, M.C., (1999) Phys. Rev. Lett., 82, p. 3296
  • Lazzeri, M., De Gironcoli, S., (2002) Phys. Rev. B, 65, p. 245402
  • Li, W.-H., Wu, S.Y., Yang, C.C., Lai, S.K., Lee, K.C., Huang, H.L., Yang, H.D., (2002) Phys. Rev. Lett., 89, p. 135504
  • Kwon, Y.-K., Berber, S., Tománek, D., (2004) Phys. Rev. Lett., 92, p. 015901
  • Swenson, C.A., (1998) Thermal Expansion of Solids (CINDAS Data Series on Material Properties), I-4. , (ed C Y Ho) ed R E Taylor (Materials Park, OH: ASM International) chapter 8
  • Taylor, M.B., Barrera, G.D., Allan, N.L., Barron, T.H.K., (1997) Phys. Rev. B, 56, p. 14380
  • Taylor, M.B., Barrera, G.D., Allan, N.L., Barron, T.H.K., Mackrodt, W.C., (1998) Comput. Phys. Commun., 109, p. 135
  • Melchiona, S., Briganti, G., Londei, P., Cammarano, P., (2004) Phys. Rev. Lett., 92, p. 158101
  • Pan, Y.S., Birkedal, H., Pattison, P., Brown, D., Chapuis, G., (2004) J. Phys. Chem. B, 108, p. 6458
  • Kainuma, R., Wang, J.J., Omori, T., Sutou, Y., Ishida, K., (2002) Appl. Phys. Lett., 80, p. 4348
  • Zel'dovich, V.I., Frolova, N.Y., Khomskaya, I.V., Epanechnikov, E.A., (2003) J. Physique IV, 112, p. 773

Citas:

---------- APA ----------
Barrera, G.D., Bruno, J.A.O., Barron, T.H.K. & Allan, N.L. (2005) . Negative thermal expansion. Journal of Physics Condensed Matter, 17(4), R217-R252.
http://dx.doi.org/10.1088/0953-8984/17/4/R03
---------- CHICAGO ----------
Barrera, G.D., Bruno, J.A.O., Barron, T.H.K., Allan, N.L. "Negative thermal expansion" . Journal of Physics Condensed Matter 17, no. 4 (2005) : R217-R252.
http://dx.doi.org/10.1088/0953-8984/17/4/R03
---------- MLA ----------
Barrera, G.D., Bruno, J.A.O., Barron, T.H.K., Allan, N.L. "Negative thermal expansion" . Journal of Physics Condensed Matter, vol. 17, no. 4, 2005, pp. R217-R252.
http://dx.doi.org/10.1088/0953-8984/17/4/R03
---------- VANCOUVER ----------
Barrera, G.D., Bruno, J.A.O., Barron, T.H.K., Allan, N.L. Negative thermal expansion. J Phys Condens Matter. 2005;17(4):R217-R252.
http://dx.doi.org/10.1088/0953-8984/17/4/R03