Authors:
Year: 2021
Pages: 146
ISBN: 978-966-360-448-0
Publication Language: English
Edition: 150
Publisher: PH “Akademperiodyka”
Place Published: Kyiv
Web of Science Core Collection: https://www.webofscience.com/wos/woscc/full-record/WOS:001521432300012
Physicochemical data on the influence of interstitial atoms of hydrogen isotopes on the properties of face-centred cubic, body-centred cubic and hexagonal close-packed metals are reviewed on the basis of statistical thermodynamic theory of long- and short-range atomic order. Examples of the application of metal—hydrogen alloys are given.
This brochure is intended for physical materials science specialists. It can be useful for both postgraduate students and lecturers of universities of engineering-physical specialties.
REFERENCES:
Part I
- A.G. Khachaturyan. Theory of Structural Transformations in Solids (New York: Wiley-Interscience: 1983) A.G. Khachaturyan. Phys. Status Solidi (b), 60: 9-38 (1973). https://doi.org/10.1002/pssb.2220600102
- I.G. Ratishvili, P. Vajda. ‘Ordering in the system β-TbD2+x’. Phys. Rev. B, 47, No. 21: 14062-14069 (1993). https://doi.org/10.1103/PhysRevB.47.14062
- V.K. Fedotov, V.G. Fedotov, M.E. Kost, R.G. Ponyatovskii. Fiz. Tverd. Tela, 24: 2201 (1982).
- I.G. Ratishvili. ‘Low temperature stable states of some transition metal hydrides’. Phys. Status Solidi (a), 78: 223-232 (1982). https://doi.org/10.1515/9783112494981-028
- G. André, O. Blaschko, W. Schwarz, J.N. Daou, P. Vajda. Phys. Rev. B, 46: 8644 (1992). https://doi.org/10.1103/PhysRevB.46.8644
- P. Vajda, J.N. Daou. In: ‘Hydrogen-Metal Systems’ (eds. A. Aladjem, F.A. Le wis) (VCH Veinheim: 1995), vol. 1, ch. 3a.
- I.G. Ratishvili, P. Vajda, A. Boukraa. ‘Order-disorder transition in the system CeH2+x’. J. Phys. Chem. Sol., 54: 1055-1059 (1993). https://doi.org/10.1016/0022-3697(93)90013-H
- I.G. Ratishvili, P. Vajda, A. Boukraa, N.Z. Namoradze. ‘Ordering processes in monophase CeH2+x’. Phys. Rev. B, 49: 15461-15469 (1994). https://doi.org/10.1103/PhysRevB.49.15461
- J. Scheffer, P. Fischer, W. Hälg, J. Osterwalder, L. Schlapbach, J.D. Jorgensen. J. Phys. C, 17: 1575 (1984). https://doi.org/10.1088/0022-3719/17/9/014
- G.G. Libowitz. Berlin. Bunsengess, 76: 837 (1972). https://doi.org/10.1002/bbpc.19720760854
- I.G. Ratishvili, P. Vajda, N.Z. Namoradze. ‘Low-temperature states in the β-CeH2+x phase’. J. Alloys Comp., 231: 115-120 (1995). https://doi.org/10.1016/0925-8388(95)01784-4
- J.P. Burger, P. Vajda, J.N. Daou. J. Phys. Chem. Solids, 52: 779 (1991). https://doi.org/10.1016/0022-3697(91)90076-C
- A. Abeln. KFA-Julich (Germany), Report July-2152 August (1987).
- E. Boroch, E. Kaldis. Z. Phys. Chem. Neue Folge, 163: 117 (1989). https://doi.org/10.1524/zpch.1989.163.Part_1.0117
- I.O. Bashkin, M.E. Kost, E.G. Ponyatovskii. Phys. Status Solidi (a), 83: 461 (1984). https://doi.org/10.1002/pssa.2210830206
- I.G. Ratishvili, P. Vajda. ‘Phase diagrams of the β-RH2+x systems (R = La, Ce, Tb). Results of mean-fi eld calculations’. J. Alloys Comp., 253-254: 171- 174 (1997). https://doi.org/10.1016/S0925-8388(96)02926-X
- I.G. Ratishvili, P. Vajda. ‘Hydrogen ordering in superstoichiometric rareearth hydrides for a system with an energy constants ratio p = V2 /V1 < 1: LaH2+x'. Phys. Rev. B, 53, No. 2: 581-587 (1996).
- A.K. Cheetham, B.E.F. Fender, J. Phys. C, 5: L35 (1972). https://doi.org/10.1088/0022-3719/5/5/003
- C.G. Titcomb, A.K. Cheetham, B.E.F. Fender. J. Phys. C, 7: 2409 (1974). https://doi.org/10.1088/0022-3719/7/14/005
- G. André, O. Blaschko, W. Schwarz, J.N. Daou, P. Vajda. Phys. Rev. B, 46: 8644 (1992). https://doi.org/10.1103/PhysRevB.46.8644
- E. Boroch, K. Conder, C. Ru-Xiu, E. Kaldis. J. Less-Common Met., 156: 259 (1989). https://doi.org/10.1016/0022-5088(89)90424-4
- K. Conder, L. Wang, E. Boroch, E. Kaldis, J. Schefer. Eur. J. Solid State Inorg. Chem., 28: 487 (1991).
- P. Klavins, R. N. Shelton, R.G. Barnes, B.J. Beaudry. Phys. Rev. B, 29: 5349 (1984). https://doi.org/10.1103/PhysRevB.29.5349
- T.J. Udovic, Q. Huang, J.J. Rush, J. Schefer, I.S. Anderson. Phys. Rev. B, 51: No. 12, 116 (1995).
- Z. Bieganski, M. Drulis. Phys. Status Solidi (a), 44: 91 (1977). https://doi.org/10.1002/pssa.2210440109
- M.R. Chowdhury, G.A. Styles, E.F.W. Seymore, S.F.J. Cox, C.A. Scott, G.H. Eaton. J. Phys. Condens. Matter, 1: 4659 (1989). https://doi.org/10.1088/0953-8984/1/28/015
- I.G. Ratishvili. ‘Stepped ordering in binary solid solutions’. Phys. Status Solidi (b), 87: 461-471 (1978). https://doi.org/10.1002/pssb.2220870207
- A.C. Switendick. ‘The change in electronic properties on hydrogen alloying and hydride formation’. In: ‘Hydrogen in Metals I’ (Topics in Applied Physics, vol. 28) (Berlin-Heidelberg-New York: Springer Verlag: 1978), pp. 101-129. https://doi.org/10.1007/3540087052_44
- R.G. Barnes, C.-T. Chang, M. Belhoul, D.R. Torgeson, R.J. Schoenberger, B.J. Beaudry, E.P.W. Seymour, J. Less-Common Met., 172-174: 411-418 (1991). https://doi.org/10.1016/0022-5088(91)90474-I
- J.H. Huiberts, R. Grissen, J.H. Rector, R.J. Wijngarden, J.P. Dekker, D.G. de Groot, N. J. Koeman. ‘Yttrium and lanthanum hydride films with switchable optical properties’. Nature, 380: 231-234 (1996). https://doi.org/10.1038/380231a0
- P. Ngene, Ts. Radeva, M. Slaman, R.J. Westerwaal, H. Schreuders, B. Dam. ‘Seeing hydrogen in colors: low-cost and highly sensitive eye readable hydrogen detectors’. Advanced Functional Materials, 2013 (Wiley-VCH Verlag GmbH&Co. KGaA, Weinheim). Report at the Gordon Research Conference ‘Hydrogen-Metal Systems’ (Lucca, Barga, Italy, 2013). https://doi.org/10.1002/adfm.201303065
- W.E. Wallace. ‘Magnetic properties of metal hydrides and hydrogenated intermetallic compounds’. In: ‘Hydrogen in Metals I’ (Topics in Applied Physics, vol. 28), (Berlin-HeidelbergNew York: Springer Verlag: 1978), pp. 169-195. https://doi.org/10.1007/3540087052_46
- V.E. Antonov, T.E. Antonova, I.T. Belash, O.V. Jarikov, A.I. Latinin, A.V. Palnichenko, V.I. Raschupkin. ‘Superconductivity of the solid solutions of hydrogen in the compounds Nb3 M with a structure A-15 (M = Au, Pt, Ir, Os)’. Fiz. Tverd. Tela, 31, No. 10: 12-20 (1989) (in Russian).
- D.T. Peterson, S.J. Kim. ‘Th ermoelectric power of H-Nb and H-Ta alloys as a function of H concentration’. Scripta Metallurgica, 22: 365-368 (1988). https://doi.org/10.1016/S0036-9748(88)80206-0
- I.G. Ratishvili, P. Vajda, N.Z. Namoradze. ‘Heat capacity associated with hydrogen ordering in superstoichiometric rare-earth dihydrides: the case of LaH2+x-like systems’. J. Phys. Chem. Sol., 58, No. 1: 59-62 (1997). https://doi.org/10.1016/S0022-3697(96)00102-3
- I.G. Ratishvili, N.Z. Namoradze. ‘Heat capacity associated with hydrogen ordering in superstoichiometric rare-earth dihydrides. CeH2+x-like systems’. Bull. Georg. Acad. Sci., 158: 229-232 (1998).
- Z. Bieganski, W. Fesenko, B. Stalinski. ‘Low-temperature heat capacity of cerium trihydride. Crustal field effects in rare-earth hydrides. II’. Bull. Acad. Polon. Sci. Ser. Sci. Chim., XIII, No. 3: 227-230 (1965).
- N. Namoradze, I. Ratishvili. ‘Ordering effects in the heat capacity of light rare-earth superstoichiometric dihydrides. CeH2.86. Bull. Georgia Nat. Acad. Sci., 6, No. 2: 51-54 (2012).
- I.G. Ratishvili. ‘Phase transition type change in order-order and order-disorder transformations of LaH2+c-like superstoichiometric dihydrides’. phys. status solid (b), 213: 297-315 (1999). https://doi.org/10.1002/(SICI)1521-3951(199906)213:2<297::AID-PSSB297>3.0.CO;2-0
- I.G. Ratishvili, N.Z. Namoradze. ‘Heat capacity anomalies associated with phase transition type change in CeH2+x-like superstoichiometric rare-earth dihydrides’. J. Phys. Chem. Sol., 61: 1827-1838 (2000). https://doi.org/10.1016/S0022-3697(00)00063-9
- I.G. Ratishvili, N.Z. Namoradze. ‘Heat capacity anomalies associated with phase transition type change in LaH2+x-like superstoichiometric rare-earth dihydrides’. phys. status solidi (b), 225: 1-14 (2001). https://doi.org/10.1002/(SICI)1521-3951(200105)225:1<1::AID-PSSB1>3.0.CO;2-W
- I.G. Ratishvili, N.Z. Namoradze. ‘Change in the order of the phase transition in ordering rareearth hydrides: a heat capacity anomaly’. Th e Physics of Metals and Metallography, 89, No. 2: 145-149 (2000).
- J.M. Rowe. ‘A neutron scattering study of the vibrational and diffusional motions of deuterium in the α and β phases of VD0.5’. Solid State Commun., 11: 1299-1302 (1972). https://doi.org/10.1016/0038-1098(72)90847-2
- N.Z. Namoradze, I.G. Ratishvili. ‘Influence of interstitial atoms on the heat capacity of the host metal lattice’. Metallofi z. Noveishie Tekhnol., 31, No. 6: 869-875 (2009).
- I.G. Ratishvili, N.Z. Namoradze. ‘Temperature dependence of hydrogen mobility in ordering rare-earth dihydrides’. Bull. Georg. Nat. Acad. Sci., 3, No. 3: 70-75 (2009).
- I.G. Ratishvili, N.Z. Namoradze. ‘Temperature dependence of local mode frequencies in ordering metal hydrides. The case of b.c.c. metal lattices’. Metallofi z. Noveishie Tekhnol., 33, No. 7: 919-936 (2011).
- N.Z. Namoradze, I.G. Ratishvili. ‘The particle weighting effect in the heat capacity temperature dependence of the V2 D ordering interstitial alloys’. Metallofiz. Noveishie Tekhnol., 39, No. 5: 579-511 (2017). https://doi.org/10.15407/mfint.39.05.0579
- R.M. Cotts. ‘Nuclear magnetic resonance on metal-hydrogen systems’. In: ‘Hydrogen in Metals I’ (eds. G. Alefeld, J. Völkl) (Berlin: Springer-Verlag: 1964), pp. 227-288. https://doi.org/10.1007/3540087052_48
- Y. Fukai, S. Kazama. ‘NMR studies of anomalous diffusion of hydrogen and phase transition in vanadium-hydrogen alloys’. Acta Metall., 25, No. 1: 59-70 (1977). https://doi.org/10.1016/0001-6160(77)90246-2
- R.G. Barns. In: ‘Hydrogen in Metalls III’ (ed. H. Wipf) (Berlin-Heidelberg-New York: SpringerVerlag: 1995), pp. 93-151.
- Y. Fukai. ‘The Metal-Hydrogen System: Basic Bulk Properties’ (Springer series in materials science, vol. 21) (Berlin-Heidelberg-New York: Springer-Verlag: 1993). https://doi.org/10.1007/978-3-662-02801-8
- I.G. Ratishvili, N.Z. Namoradze. ‘Influence of hydrogen ordering on the spin-lattice relaxation time in metal-hydrides. I. The high-temperature limit’. Bull. Georg. Acad. Sci., 169, No. 2: 279- 281 (2004).
- I.G. Ratishvili, N.Z. Namoradze. ‘Influence of hydrogen ordering on the spin-lattice relaxation time in metal-hydrides. II. The low-temperature limit’. Bull. Georg. Acad. Sci., 169, No. 3: 481- 483 (2004).
- N.Z. Namoradze, I.G. Ratishvili. ‘Influence of hydrogen ordering on the proton spin-lattice relaxation time in lanthanum superstoichiometric dihydrides LaH2+c’. In: ‘Hydrogen Materials Science and Chemistry of Carbon Nanomaterials’ (eds. T.N. Veziroglu, S.Y. Zaginaichenko, D.V. Schur, B. Baranowski, A.P. Shpak, V.V. Skorokhod, A. Kale) (Dordrecht, Netherlands: Springer: 2007), pp. 87-94; https://doi.org/10.1007/978-1-4020-5514-0
- I.G. Ratishvili, N.Z. Namoradze. ‘Temperature dependence of hydrogen mobility in the ordering rare-earth dihydrides’. Bull. Georg. Nat. Acad. Sci., 3, No. 3: 70-75 (2009).
- T.-T. Phua, B.J. Beaudry, D.T. Peterson, D.R. Torgeson, R.G. Barns, M. Belhoul, G.A. Styles, E.F.W. Seymour. ‘Paramagnetic impurity effects in NMR determinations of hydrogen diffusion and electronic structure in metal hydrides: Gd3+ in YH2 and LaH2.25’. Phys. Rev., 28, No. 11: 6227 (1983).
- G.I. Mamniashvili, N.Z. Namoradze, I.G. Ratishvili, Yu.G. Sharimanov. ‘Proton spin-lattice relaxation time in ordering VHx alloys’. J. Phys. Chem. Solids, 66: 1192-1199 (2005). https://doi.org/10.1016/j.jpcs.2005.01.011
- I. Ratishvili, N. Namoradze. ‘Physical properties of some metal hydrides applicable for hydrogen detectors: brief review’. In: ‘Black See Energy Resource Development and Hydrogen Energy Problems’ (eds. Ayfer Veziroğlu, M. Tsitskishvili) (Dordrecht, Netherlands: Springer: 2013), ch. 32, pp. 373-389; https://doi.org/10.1007/978-94-007-6152-0
- N.Z. Namoradze, I.G. Ratishvili. ‘Hydrogen ordering induced resistivity anomalies in the superstoichiometric light rare-earth dihydrides’. J. Alloys Comp., 446-447: 429-435 (2007). https://doi.org/10.1016/j.jallcom.2006.12.005
- J.M. Ziman. ‘Principles of the Theory of Solids’ (Cambridge: University Press: 1964).
- H. Jones. ‘Theory of electrical and thermal conductivity in solids’. In: ‘Encyclopedia of Physics’ (ed. S. Flugge) (Berlin: Springer: 1956), vol. 19, pp. 227-315. https://doi.org/10.1007/978-3-642-62039-3_3
- A.A. Smirnov. ‘Theory of Electrical Resistivity of Alloys’ (Kiev: AS of the Ukr. SSR Publishing: 1960). 148 p. (in Russian)
- P. Vajda, J.N. Daou. Mod. Phys. Lett. B, 6: 251 (1992). https://doi.org/10.1142/S0217984992000338
- J.N. Daou, A. Loucasson, P. Vajda, J.P. Burger. J. Phys. F: Met. Phys., 14: 2983 (1984). https://doi.org/10.1088/0305-4608/14/12/019
- A. Loucasson, P. Vajda, J.P. Burger, J.N. Daou. Sol. State Commun., 54: 807-810 (1985). https://doi.org/10.1016/0038-1098(85)90291-1
- H. Lütgemeier, R.R. Arons, H.G. Bohn. ‘Proton spin-lattice relaxation time in niobiumhydrogen system’. J. Magn. Reson., 8: 74-79 (1972). https://doi.org/10.1016/0022-2364(72)90024-8
- Yu.G. Sharimanov, R. Grossescu. ‘Temperature dependence of pronon spin-lattice relaxation time in the niobium hydride’. Fiz. Tverd. Tela, 24, No. 1: 310-311 (1982) (in Russian).
- M.A. Pick, R. Baush. ‘The determination of the force-dipole tensor of hydrogen in niobium’. J. Phys. F: Metal Phys., 6, No. 10: 1751-1763 (1976). https://doi.org/10.1088/0305-4608/6/10/008
- I. Ratishvili, N. Namoradze. ‘Switchable magnetic properties of hydrogenated metal alloys’. In: ‘Progress in Clean Energy’ (Cham, Switzerland: Springer: 2015) (eds. I. Dincer, I. Dincer, C. Colpan, O. Kizilkan, M. Ezan), vol. 1. ch. 55, pp. 751-761; https://doi.org/10.1007/978-3- 319-16709-1_55
- A.M. Clogstone, B. Matthias, M. Peter, H. Williams, R. Correnzwit, R. Sherwood. ‘Localized magnetic moments of iron atoms dissolved in different transition metal alloys’. Phys. Rev., 125: 541 (1962). https://doi.org/10.1103/PhysRev.125.541
- I.G. Ratishvili. ‘The orientational model of hydrides ordering’. Fiz. Met. Metalloved., 1991, No. 10: 74-86 (in Russian).
- N.Z. Namoradze, I.G. Ratishvili. ‘Formation of linear structures in metal-hydrogen interstitial alloys’. In: ‘Carbon Nanomaterials in Clean Energy Hydrogen Systems’ (eds. B. Baranowski, S.Yu. Zaginaichenko, D.V. Schur, V.V. Skorokhod, Ayfer Veziroglu) (Dordrecht, Netherlands: Springer: 2008), pp. 549-572; https://doi.org/10.1007/978-1-4020-8898 -8
Part II
- M.A. Krivoglaz, Difraktsiia Rentgenovskikh Lucheĭ i Neĭtronov v Neideal’nykh Kristallakh (X-Ray and Neutron Diffraction in Nonideal Crystals) (Kiev: Naukova Dumka: 1983) (in Russian).
- M.A. Krivoglaz, Diffuznoye Rasseianie Rentgenovskikh Lucheĭ i Neĭtronov na Fluktuatsionnykh Neodnorodnostiakh v Neideal’nykh Kristallakh (Diffuse Scattering of X-Rays and Neutrons on Fluctuation Heterogeneities in Nonideal Crystals) (Kyiv: Naukova Dumka: 1984) (in Russian).
- A.G. Khachaturyan. Phys. Status Solidi (b), 60: 9 (1973). https://doi.org/10.1002/pssb.2220600102
- A.G. Khachaturyan, B.I. Pokrovskii, Progress in Materials Science, 29, Iss. 1-2: 1 (1985); https://doi.org/10.1016/0079-6425(85)90008-8
- A.G. Khachaturyan, Theory of Structural Transformations in Solids (Mineola, NY: Dover Publications, Inc.: 2008).
- K.H. Jack, Acta Cryst., 5: 404 (1952). https://doi.org/10.1107/S0365110X52001258
- M. Hirabayashi, S. Yamaguchi, H. Asano, K. Hiraga, Reine und Angew. Metall. Einzeldarstel. (ed. H. Warlimont) (Berlin: Springer-Verlag: 1974), vol. 24, p. 206.
- V. Seetharaman, D. Sundararaman, Mater. Sci. Forum, 3: 433 (1985). https://doi.org/10.4028/www.scientific.net/MSF.3.433
- S.I. Morozov, Issledovanie Primesnykh Kolebaniy Atomov Vnedreniya v Tsirkonii i Titane Metodom Neuprugogo Rasseyaniya Medlennykh Neutronov (Study of Impurity Oscillations of Interstitial Atoms in Zirconium and Titanium by the Method of Inelastic Scattering of Slow Neutrons) (Abstract of a Thesis for Cand. Phys.-Math. Sci.) (Obninsk: Physical-Energetic Inst.: 1989) (in Russian).
- V.N. Bugaev, V.A. Tatarenko, Vzaimodeistvie i Raspredelenie Atomov v Splavakh Vnedreniya na Osnove Plotnoupakovannykh Metallov (Interaction and Arrangement of Atoms in Interstitial Alloys Based on Close-Packed Metals) (Kyiv: Naukova Dumka: 1989) (in Russian).
- V.A. Tatarenko, C.L. Tsinman, Metallofi z. Noveishie Tekhnol., 19, No. 11: 9 (1997) (in Russian).
- P.V. Gel’d, R.A. Ryabov, L.P. Mokhracheva, Vodorod i Fizicheskie Svoistva Metallov i Splavov (Hydrogen and Physical Properties of Metals and Alloys) (Moscow: Nauka: 1985) (in Russian).
- R.A. Andrievskiy, Ya.S. Umanskiy, Fazy Vnedreniya (Interstitial Phases) (Moscow: Nauka: 1977) (in Russian).
- E. Fromm, E. Gebhardt, Gase und Kohlenstoff in Metallen (Gases and Carbon in Metals). 26 Band (Berlin-Heidelberg: Springer-Verlag: 1976) (in German). https://doi.org/10.1007/978-3-642-80943-9
- G. Leibfried, Mikroskopicheskaya Teoriya Mekhanicheskikh i Teplovykh Svoistv Kristallov (Microscopic Theory of Mechanical and Thermal Properties of Crystals) (Moscow-Leningrad: Fizmatgiz: 1963) (Russian translation).
- V.A. Tatarenko, Deformatsionnoye Vzaimodeistvie i Raspredelenie Primesnykh Atomov v Kristallakh s Plotnoupakovannoy Strukturoy (Strain-Induced Interaction and Arrangement of Impurity Atoms in Crystals with Close-Packed Structure) (Abstract of a Thesis for Cand. Phys.-Math. Sci.) (Kyiv: A.S. of the Ukr.S.S.R. Inst. for Metal Physics: 1986) (in Russian).
- E.G. Brovman, A. Kholas, Metod Odnorodnoy Deformatsii dlya Opredeleniya Moduley Uprugosti Mnogoatomnykh Reshyotok (The Method of Homogeneous Deformation for Definition of the Moduli of Elasticity of Polyatomic Lattices) (Moscow: 1977) (Prepr./A.S. U.S.S.R. I.V. Kurchatov IAE; No. 2868) (in Russian).
- A.M. Kosevich, Fizicheskaya Mekhanika Real’nykh Kristallov (Physical Mechanics of Real Crystals) (Kyiv: Naukova Dumka: 1981) (in Russian).
- I.N. Frantsevich, F.F. Voronov, S.A. Bakuta, Uprugie Postoyannyye i Moduli Uprugosti Metallov i Nemetallov: Spravochnik (Elastic Constants and Moduli of Elasticity for Metals and Nonmetals: Handbook) (Kyiv: Naukova Dumka: 1982) (in Russian).
- O.M. Ivasishin, N.S. Kosenko, S.V. Shevchenko, V.A. Tatarenko, C.L. Tsinman, Metallofi z. Noveishie Tekhnol., 19, No. 1: 8 (1997) (in Russian).
- A.A. Maradudin, S.H. Vosko, Rev. Mod. Phys., 40: 1 (1968). https://doi.org/10.1103/RevModPhys.40.1
- J.L. Warren, Rev. Mod. Phys., 40: 38 (1968). https://doi.org/10.1103/RevModPhys.40.38
- S.V. Beiden, V.G. Vaks, N.E. Zein, G. D. Samolyuk, Fiz. Met. Metalloved., 77, No. 5: 17 (1994) (in Russian).
- D.J. Chadi, M.L. Cohen, Phys. Rev. B, 8: 5747 (1973). https://doi.org/10.1103/PhysRevB.8.5747
- A.A. Katsnel’son, A.I. Olemskoi, Mikroskopicheskaya Teoriya Neodnorodnykh Struktur (Microscopic Theory of Nonhomogeneous Structures) (Moscow: Izd. MGU: 1987) (in Russian).
- Z.A. Gursky, Fizika Mnogochastichnykh Sistem , Iss. 4: 59 (1983) (in Russian). https://doi.org/10.1515/juru.1983.1983.7.265
- D. de Fontaine, Solid State Physics (eds. H. Ehrenreich, F. Seitz, D. Turnbull) (New York: Academic Press: 1979), vol. 34, p. 73.
- J.M. Sanchez, D. Gratias, D. de Fontaine, Acta Cryst. A, 38, Pt. 2: 214 (1982). https://doi.org/10.1107/S0567739482000485
- M.F. Zhorovkov, Simmetriynyy Analiz Sverkhstruktur Zameshcheniya v Geksagonal’noy Plotnoupakovannoy Reshyotke (Symmetry Analysis of Substitutional Superstructures in Hexagonal Close-Packed Lattice) (Dep./VINITI: 11.03.91, No. 1023-B91, Izv. Vyssh. Uchebn. Zaved. Fizika: Tomsk: 1991) (in Russian).
- M.F. Zhorovkov, Izv. Vyssh. Uchebn. Zaved. Fizika, 36, No. 8: 13 (1993) (in Russian).
- V.N. Bugaev, R.V. Chepul’skii, Acta Cryst. A, 51, Pt. 4: 456 (1995). https://doi.org/10.1107/S0108767394012213
- M. Dechamps, A. Quivy, G. Baur, P. Lehr, Scr. Met., 11: 941 (1977). https://doi.org/10.1016/0036-9748(77)90243-5
- E.S. Fisher, M.H. Manghani, J. Phys. Chem. Solids, 32: 657 (1971). https://doi.org/10.1016/S0022-3697(71)80406-7
- E.S. Fisher, M.H. Manghani, T.J. Sokolowski, J. Appl. Phys., 41: 2991 (1970). https://doi.org/10.1063/1.1659351
- M.D. Silver, P.A. Farrar, K.L. Komarek, Trans. AIME, 227: 876 (1963).
- E.S. Fisher, C.J. Renken, Phys. Rev. A, 135: 482 (1964). https://doi.org/10.1103/PhysRev.135.A482
- W. Trzebiatowski, J. Rudzinski, Z. Chem., 2, No. 5: 158 (1962). https://doi.org/10.1002/zfch.19620020517
- N. Wakabayashi, R.H. Scherm, H.G. Smith, Phys. Rev. B, 25: 5122 (1982). https://doi.org/10.1103/PhysRevB.25.5122
- G.R. Love, C.C. Koch, H.L. Whaley, Z.R. McNutt, J. Less-Common Metals, 20, No. 1: 73 (1970). https://doi.org/10.1016/0022-5088(70)90039-1
- V.A. Frenkel’, I.I. Papirov, Fiz. Met. Metalloved., 26: 1108 (1968) (in Russian).
- W.D. Rowland, J.S. White, J. Phys. F: Metal Phys., 2: 231 (1972). https://doi.org/10.1088/0305-4608/2/2/011
- J.-P. Bars, D. David, E. Etchessahar, J. Debuigne, Metall. Trans. A, 14: 1537 (1983). https://doi.org/10.1007/BF02654379
- D. Douglas, Metallovedenie Tsirkoniya (Physical Metallurgy of Zirconium) (Moscow: Atomizdat: 1975) (Russian translation).
- V.P. Glazkov, A.V. Irodova, V.A. Somenkov, S.Sh. Shil’shtein, Fiz. Tverd. Tela, 26: 3261 (1984) (in Russian).
- A.R. Kaufmann, P. Gordon, D.W. Lillie, Trans. ASM, 42: 785 (1950).
- K.V. Mirskaya, I.E. Kozlova, V.F. Bereznitskaya, Phys. Status Solidi. B, 62: 291 (1974) https://doi.org/10.1002/pssb.2220620131
- S. Sokolowski, Mol. Phys., 75: 999 (1992). https://doi.org/10.1080/00268979200100781
- T.-S. Kuan, A. Warshel, O. Schnepp, J. Chem. Phys., 52: 3012 (1970). https://doi.org/10.1063/1.1673432
- R.M. Martin, Phys. Rev. B, 6: 4546 (1972). https://doi.org/10.1103/PhysRevB.6.4546
- S.F. Ahmad, H. Kieft e, M.J. Clouter, M.D. Whitemore, Phys. Rev. B, 26: 4239 (1982). https://doi.org/10.1103/PhysRevB.26.4239
- R. Kohlhaas, Ph. Dunner, N. Schmitz-Pranghe, Z. Angew. Phys., 23, No. 4: 245 (1967).
- J. Zarestky, C. Stassis, Phys. Rev. B, 35: 4500 (1987). https://doi.org/10.1103/PhysRevB.35.4500
- S. Nagakura, K. Tanehashi, J. Phys. Soc. Jap., 25: 840 (1968). https://doi.org/10.1143/JPSJ.25.840
- G.G. Dvoryankina, Z.G. Pinsker, Kristallografiya, 5, No. 2: 253 (1960) (in Russian).
- H.A. Wriedt, N.A. Gokcen, R.H. Nafziger, Bull. Alloy Phase Diagrams, 8, No. 4: 355; 409 (1987). https://doi.org/10.1007/BF02869273
- V.A. Tatarenko, C.L. Tsinman, Metal Physics and Advanced Technologies, 17, No. 11: 1243 (1999).
- M.A. Krivoglaz, Diff use Scattering of X-Rays and Neutrons by Fluctuations (Berlin-Heidelberg-New York: Springer-Verlag: 1996).
- A.G. Khachaturyan, Theory of Structural Transformations in Solids (New York: John Wiley and Sons: 1983).
- V.A. Tatarenko, Konfi guratsiyni Ehfekty Rozmirnoi Nevidpovidnosti i Blokuvannya Atomiv u Nestekhiometrychnykh Fazakh Vtilennya i Zamishchennya (Configurational Effects of Size Mismatch and Blocking of Atoms in Nonstoichiometric Interstitial and Substitutional Phases) (Abstract of a Thesis for Dr. Phys.-Math. Sci.) (Kyiv: N.A.S. of Ukr. G.V. Kurdyumov Inst. for Metal Physics: 2002) (in Ukrainian).
- J.P. Burger, J.N. Daou, A. Lucasson, P. Lucasson, P. Vajda, Z. Phys. Chem. (BRD), 143: 111 (1985). https://doi.org/10.1524/zpch.1985.143.143.111
- O. Blaschko, G. Krexner, J.N. Daou, P. Vajda, Phys. Rev. Lett., 55: 2876 (1985). https://doi.org/10.1103/PhysRevLett.55.2876
- J.E. Bonnet, D.K. Ross, D.A. Faux, I.S. Anderson, J. Less-Common Metals, 129, Pt. 1: 287 (1987). https://doi.org/10.1016/0022-5088(87)90063-4
- O. Blaschko, J. Less-Common Metals, 172-174, Pt. A, Nos. 1/2: 237 (1991). https://doi.org/10.1016/0022-5088(91)90453-B
- C. Koudou, C. Minot, C. Demangeat, Europhys. Lett., 13: 263 (1990). https://doi.org/10.1209/0295-5075/13/3/012
- B.J. Min, K.-M. Ho, Phys. Rev. B, 40: 7532 (1989).
- S.E. Weber, Feng Liu, S.N. Khanna, B.K. Rao, P. Jena, J. Less-Common Metals, 172/174, Pt. B: 485 (1991). https://doi.org/10.1016/S0022-5088(06)80286-9
- G. Leibfried, N. Breuer, Point Defects in Metals I: Introduction to the Theory (Berlin-Heidelberg: Springer-Verlag: 1978).
- M.A. Krivoglaz, X-Ray and Neutron Diffraction in Nonideal Crystals (Berlin-Heidelberg: Springer-Verlag: 1996). https://doi.org/10.1007/978-3-642-74291-0
- O.M. Ivasishin, M.S. Kosenko, S.V. Shevchenko, V.A. Tatarenko, C.L. Tsinman, Metal Physics and Advanced Technologies, 17, No. 1: 13 (1998).
- V.A. Tatarenko, K.L. Tsinman, Metal Physics and Advanced Technologies, 18, No. 3: 273 (1999).
- V.A. Tatarenko, C.L. Tsinman, Metallofiz. Noveishie Tekhnol., 20, No. 3: 25 (1998) (in Russian).
- A. Katsnelson, A. Olemskoi, Microscopic Theory of Nonhomogeneous Structures (New York: American Institute of Physics: 1991).
- I.R. Yukhnovskii, Z.A. Gurskii, Kvantovo-Statisticheskaya Teoriya Neuporyadochennykh Sistem (Quantum-Statistical Th eory of Disordered Systems) (Kyiv: Naukova Dumka: 1991) (in Russian).
- D. De Fontaine, Acta Metallurgica, 34, Iss. 5: 553 (1975). https://doi.org/10.1016/0001-6160(75)90096-6
- F.H. Spedding, B.J. Beaudry, J. Less-Common Metals, 25, No. 1: 61 (1971). https://doi.org/10.1016/0022-5088(71)90066-X
- R.G. Leisure, R.B. Schwarz, A. Migliori, Ming Lei, Phys. Rev. B, 48: 1276 (1993). https://doi.org/10.1103/PhysRevB.48.893
- S.J. Savage, S.B. Palmer, D. Fort, R.G. Jordan, D.W. Jones, J. Phys. F: Metal Phys., 10: 347 (1980). https://doi.org/10.1088/0305-4608/10/3/005
- M. Dechamps, A. Quivy, G. Baur, P. Lehr, Scr. Met., 11: 941 (1977). https://doi.org/10.1016/0036-9748(77)90243-5
- E.S. Fisher, M.H. Manghnani, J. Phys. Chem. Solids, 32: 657 (1971). https://doi.org/10.1016/S0022-3697(71)80406-7
- E. Fromm, E. Gebhardt, Gazy i Uglerod v Metallakh (Gases and Carbon in Metals) (Moscow: Metallurgiya: 1980) (Russian translation).
- E.S. Fisher, M.H. Manghnani, T.J. Sokolowski, J. Appl. Phys., 41: 2991 (1970). https://doi.org/10.1063/1.1659351
- C.K. Saw, B.J. Beaudry, C. Stassis, Phys. Rev. B, 27: 7013 (1983). https://doi.org/10.1103/PhysRevB.27.7013
- B.J. Beaudry, F.H. Spedding, Metal. Trans. B, 6: 419 (1975) https://doi.org/10.1007/BF02913827
- A. Chretien, W. Freundlich, M. Bichara, C. r. Acad. sci. (Paris), 238: 1423 (1954).
- S.R. MacEwen, C.E. Coleman, C.E. Ells, J. Faber, Jr., Acta Met., 33: 753 (1985). https://doi.org/10.1016/0001-6160(85)90098-7
- C.N. Tome, A.M. Monti, E.J. Savino, Phys. Status Solidi. B, 92: 323 (1979). https://doi.org/10.1002/pssb.2220920138
- L. Lichty, R.J. Schoenberger, D.R. Torgeson, R.G. Barnes, J. Less-Common Metals, 129, Pt. 1: 31 (1987). https://doi.org/10.1016/0022-5088(87)90030-0
- B. Khoda-Bakhsh, D.K. Ross, J. Phys. F: Metal Phys., 12: 15 (1982). https://doi.org/10.1088/0305-4608/12/1/003
- A. San-Martin, F.D. Manchester, Bull. Alloy Phase Diagr., 8, No. 1: 30 (1987). https://doi.org/10.1007/BF02868888
- E. Zuzek, J.P. Abriata, A. San-Martin, F.D. Manchester, Bull. Alloy Phase Diagr., 11, No. 4: 385 (1990). https://doi.org/10.1007/BF02843318
- V.E. Arkhipov, S.F. Dubinin, V.E. Naish, T.V. Novosyolova, S.B. Pupyshev, N.P. Ratslav, I.V. Sagaradze, S.G. Teploukhov, Fiz. Met. Metalloved., 78, Iss. 5: 147 (1994) (in Russian).
- P. Vajda, Handbook on the Physics and Chemistry of Rare Earths (eds. K.A. Gschneidner, Jr., L. Eyring) (Amsterdam: Elsevier Science B. V.: 1995), vol. 20, Chapt. 137, p. 207.
- M.A. Krivoglaz, Tyu Khao, Defekty i Svojstva Kristallicheskoj Reshyotki (Imperfections and Properties of Crystalline Lattice) (Kyiv: Naukova Dumka: 1968), p. 63 (in Russian).
- A.G. Khachaturyan, Teoriya Fazovykh Prevrashcheniy i Struktura Tvyordykh Rastvorov (The Theory of Phase Transformations and Structure of Solid Solutions) (Moscow: Nauka: 1974) (in Russian).
- A.G. Khachaturyan, Progress in Materials Science, 22, Iss. 1-2: 1 (1978); https://doi.org/10.1016/ 0079-6425(78)90003-8 https://doi.org/10.1016/0079-6425(78)90003-8
- L.D. Landau, E.M. Lifshitz, Statisticheskaya Fizika (Statistical Physics), Part 1. (Moscow: Nauka: 1976) (in Russian).
- Yu.V. Shulepov, E.V. Aksenenko, Reshyotochnyj Gaz. Vvedenie v Teoriyu i Izbrannyye Prilozheniya (Lattice Gas. Introduction to the Th eory and Selected Applications) (Kyiv: Naukova Dumka: 1981) (in Russian).
- D.A. Badalyan, Fiz. Tverd. Tela, 21: 2017 (1979) (in Russian).
- A.J. Pertsin, A.I. Kitaigorodsky, Th e Atom-Atom Potential Method: Applications to Organic Molecular Solids (Berlin-Heidelberg-New York: Springer-Verlag: 1987). https://doi.org/10.1007/978-3-642-82712-9
- V.N. Bugaev, R.V. Chepul’skii, Acta Cryst. A, 31, Pt. 4: 463 (1995). https://doi.org/10.1107/S0108767394012171
- R.V. Chepulskii, V.N. Bugaev, Sol. State Commun., 105: 615 (1998). https://doi.org/10.1016/S0038-1098(97)10203-4
- R.V. Chepulskii, J. Phys.: Condens. Matter, 10: 1505 (1998). https://doi.org/10.1088/0953-8984/10/7/005
- D. Khatamian, F.D. Manchester, Bull. Alloy Phase Diagr., 9, No. 3: 252, 307 (1988). https://doi.org/10.1007/BF02881276
- Feng Liu, M. Challa, S.N. Khanna, P. Jena, Phys. Rev. Lett., 63: 1396 (1989). https://doi.org/10.1103/PhysRevLett.63.1396
- F. Cordero, Phys. Rev. B, 47: 7674 (1993). https://doi.org/10.1103/PhysRevB.47.7674

