Elastic phase transitions in metals at high pressures

Yu.Kh. Vekilov, O.M. Krasil’nikov, M.P. Belov, A.V. Lugovskoy
National University of Science and Technology "MISIS", Leninskii prosp. 4, Moscow, 119049, Russian Federation

Crystalline lattice can become unstable to the uniform shear strains which may lead to a structural transformation to less symmetric structures. The transitions of these types were called the elastic phase transitions. In the present paper the elastic phase transitions in metals with cubic and hexagonal structures are considered. The relation between the elastic constants of second, third and fourth order corresponding to the case of the first order elastic phase transition are given. As an example the structural transformation in vanadium which is experimentally observed at P ≈ 69 GPa, and a possibility of the structural transformation in molybdenum at P higher than 700 GPa are analyzed.

PACS: 61.50.Ks, 61.66.Bi, 62.20.D−, 62.50.−p (all)
DOI: 10.3367/UFNe.0184.201409d.0967
URL: https://ufn.ru/en/articles/2014/9/d/
Web of Science

000346959600004
Scopus

2-s2.0-84937001753
ADS NASA

2014PhyU...57..897V
Citation: Vekilov Yu Kh, Krasil’nikov O M, Belov M P, Lugovskoy A V "Elastic phase transitions in metals at high pressures" Phys. Usp. 57 897–902 (2014)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 3rd, December 2013, revised: 19th, December 2013, accepted: 20th, December 2013

Оригинал: Векилов Ю Х, Красильников О М, Белов М П, Луговской А В «Деформационные фазовые переходы в металлах при высоких давлениях» УФН 184 967–973 (2014); DOI: 10.3367/UFNr.0184.201409d.0967

References (34) ↓ Cited by (6) Similar articles (5)

Kolobyanina T N Usp. Fiz. Nauk 172 1361 (2002); Kolobyanina T N Phys. Usp. 45 1203 (2002)
Maksimov E G, Magnitskaya M V, Fortov V E Usp. Fiz. Nauk 175 793 (2005); Maksimov E G, Magnitskaya M V, Fortov V E Phys. Usp. 48 761 (2005)
Katzke H, Tolédano P Phys. Rev. B 71 184101 (2005)
Dubrovinsky L et al. Nature Commun. 3 1163 (2012)
Bushman A V, Fortov V E Usp. Fiz. Nauk 140 177 (1983); Bushman A V, Fortov V E Sov. Phys. Usp. 26 465 (1983)
Katsnelson M I et al. Phys. Rev. B 61 14420 (2000)
Khmel’nitskii D E Fiz. Tverd. Tela 16 3188 (1974); Khmel’nitskii D E Sov. Phys. Solid State 16 2079 (1975)
Liakos J K, Saunders G A Philos. Mag. A 50 569 (1984)
Indenbom V L Kristallogr. 5 (1) 115 (1960); Indenbom V L Sov. Phys. Crystallogr. 5 106 (1960)
Cowley R A Phys. Rev. B 13 4877 (1976)
Landau L D, Lifshits E M Statisticheskaya Fizika Vol. 1 (M.: Nauka, 1976); Landau L D, Lifshitz E M Statistical Physics Vol. 1 (Oxford: Pegramon Press, 1980)
Sakhnenko V P, Talanov V M Fiz. Tverd. Tela 21 2435 (1979); Sakhnenko V P, Talanov V M Sov. Phys. Solid State 21 1401 (1979); Sakhnenko V P, Talanov V M Fiz. Tverd. Tela 22 785 (1980)
Wallace D C Solid State Physics Vol. 25 (Eds H Ehrenreich, F Seitz, D Turnbull) (New York: Academic Press, 1970) p. 301
Krasil’nikov O M, Vekilov Yu Kh, Mosyagin I Yu Zh. Eksp. Teor. Fiz. 142 266 (2012); Krasil’nikov O M, Vekilov Yu Kh, Mosyagin I Yu JETP 115 237 (2012)
Krasil’nikov O M i dr. Zh. Eksp. Teor. Fiz. 139 281 (2011); Krasil’nikov O M et al. JETP 112 240 (2011)
Sin’ko G V, Smirnov N A Pis’ma ZhETF 75 217 (2002); Sin’ko G V, Smirnov N A JETP Lett. 75 184 (2002)
Grimvall G et al. Rev. Mod. Phys. 84 945 (2012)
Huntington H B Solid State Phys. 7 213 (1958); Khantington G Usp. Fiz. Nauk 74 303 (1961)
Chung D Y, Li Y Acta Cryst. A 30 1 (1974)
Bir G L, Pikus G E Simmetriya i Deformatsionnye Effekty v Poluprovodnikakh (M.: Nauka, 1972); Bir G L, Pikus G E Symmetry And Strain-Induced Effects In Semiconductors (New York: Wiley, 1974)
Krumhansl J A, Gooding R J Phys. Rev. B 39 3047 (1989)
Brugger K Phys. Rev. 133 A1611 (1964)
Martin J W J. Phys. C Solid State Phys. 8 2837 (1975)
Ding Y et al. Phys. Rev. Lett. 98 085502 (2007)
Landa A et al. J. Phys. Condens. Matter 18 5079 (2006)
Koči L et al. Phys. Rev. B 77 214101 (2008)
Krasilnikov O M et al. J. Phys. Condens. Matter 24 195402 (2012)
Luo W et al. Proc. Natl. Acad. Sci. USA 104 16428 (2007)
Krasilnikov O M et al. Comput. Mater. Sci. 81 313 (2014)
Belonoshko A B et al. Phys. Rev. Lett. 92 195701 (2004)
Belonoshko A B et al. Phys. Rev. Lett. 100 135701 (2008)
Mikhaylushkin A S et al. Phys. Rev. Lett. 101 049602 (2008)
Wang B, Zhang G B, Wang Y X J. Alloys Compounds 556 116 (2013)
Shieh S R, Duffy T S, Li B Phys. Rev. Lett. 89 255507 (2002)