Abstract
It is shown that amorphization of substances under pressure can be related to the fundamental property of the isobaric-isothermal potential surface as a function of temperature and pressure: its convexity. Amorphization is cold melting. The peaks in the pressure dependences of the melting temperature are not anomalies but a manifestation of the general case, whose implementation is limited by polymorphism. A model of the amorphous state near the absolute zero of temperature is proposed: specifically, nanoceramics formed according to the mechanism of polysynthetic twinning.
Similar content being viewed by others
References
O. Mishima, L. D. Calvert, and E. Whalley, Nature 314, 76 (1985).
P. Richet, Nature 331, 56 (1988).
V. V. Brazhkin and A. G. Lyapin, High Pressure Res. 15, 9 (1996).
G. Tammann, Lehrbuch der Heterogenen Gleichgewichte (Vieweg, Braunschweig, 1924).
G. Tammann, J. Soc. Glass Technol. 9, 166 (1925).
R. A. Hollmann, On Thermodynamics of Saturated Solutions (Tipografiya soyuza pechatnogo dela, Saratov, 1917) [in Russian].
J. W. Gibbs, Thermodynamics. Statistical Mechanics (Nauka, Moscow, 1982).
P. P. Fedorov, Zh. Neorg. Khim. 52(1), 41 (2007) [Russ. J. Inorg. Chem. 52 (1), 116 (2007)].
P. P. Fedorov, Kristallografiya 40(2), 308 (1995) [Crystallogr. Rep. 40, 278 (1995)].
V. M. Glazov, V. B. Lazarev, and V. V. Zharov, Phase Diagrams of Simple Substances (Nauka, Moscow, 1980) [in Russian].
A. V. Storonkin, Thermodynamics of Heterogeneous Systems (Leningr. Gos. Univ., Leningrad, 1967) [in Russian].
P. P. Fedorov, Zh. Fiz. Khim. 73(9), 1561 (1999) [Russ. J. Phys. Chem. 73 (9), 1381 (1999)].
R. D. Shannon, Acta Crystallogr., Sect. A: Cryst. Phys., Diffr., Theor. Gen. Crystallogr. 32, 751 (1976).
P. P. Fedorov, L. V. Medvedeva, O. S. Bondareva, and B. P. Sobolev, Bull. Soc. Cat. Cien. 13(1), 241 (1992).
P. P. Fedorov, Zh. Neorg. Khim. 44(11), 1791 (1999) [Russ. J. Inorg. Chem. 44 (11), 1703 (1999)].
S. M. Stishov, Geokhimiya, No. 11, 989 (1962).
S. M. Stishov, Usp. Fiz. Nauk 31(1), 93 (1988).
V. V. Kechin, in Proc. of the Institute of High-Pressure Physics, RAN, Annual (1994), Part II, p. 18.
V. P. Skripov, in Metastable States and Phase Transitions (Izd-vo ITF URO RAN, Yekaterinburg, 1997), No. 1, p. 21 [in Russian].
L. E. Fried and W. M. Howard, Phys. Rev. 61(13), 8734 (2000).
G. Hagg, J. Chem. Phys. 3, 42 (1935).
C. H. L. Goodman, Phys. Chem. Glasses 26, 1 (1985).
G. N. Greaves, J. Non-Nryst. Solids 71, 203 (1985).
S. A. Dembovskiĭ and E. A. Chechetkina, Glass Formation (Nauka, Moscow, 1990) [in Russian].
P. P. Fedorov, Kristallografiya 42(6), 1141 (1997) [Crystallogr. Rep. 42, 1064 (1997)].
Ya. I. Frenkel’, Kinetic Theory of Liquids (Nauka, Leningrad, 1975) [in Russian].
P. A. Tick, N. F. Borelli, and I. M. Reaney, Opt. Mater. 15, 81 (2000).
D. R. MacFarline, J. Javorniczky, and P. J. Newman, J. Non-Cryst. Solids 256–257, 366 (1999).
F. C. Guinhos, P. C. Nobrega, and P. A. Santa-Cruz, J. Alloys Compd. 323–324, 358 (2001).
M. Mortier, A. Monteville, G. Patriarche, et al., Opt. Mater. 16, 255 (2001).
Ya. E. Geguzin, Physics of Sintering (Nauka, Moscow, 1967) [in Russian].
F. K. Volynets, Izv. Akad. Nauk SSSR, Ser. Fiz. 45(2), 315 (1981).
J. Lu, M. Probhu, J. Song, et al., Appl. Phys. B 71(10), 469 (2000).
A. A. Kaminskiĭ, M. Sh. Akchurin, V. I. Alshits, et al., Kristallografiya 48(3), 562 (2003) [Crystallogr. Rep. 48, 515 (2003)].
A. A. Kaminskiĭ, M. Sh. Akchurin, R. V. Gaĭnutdinov, et al., Kristallografiya 50(5), 935 (2005) [Crystallogr. Rep. 50, 869 (2005)].
P. A. Popov, I. A. Mironov, A. N. Smirnov, et al., Dokl. Akad. Nauk 412(2), 185 (2007) [Dokl. Phys. 52, 7 (2007)].
M. E. Msall, W. Dietsche, R. Beane, et al., Phys. Status Solidi B 1, 2983 (2004).
J. P. Laval, J. Non-Cryst. Solids 161, 123 (1993).
B. Reppich and G. Streb, Phys. Status Solidi A 15, 77 (1973).
G. Streb and B. Reppich, Phys. Status Solidi A 16, 493 (1973).
W. M. Sherry and J. B. Vandersande, J. Mater. Sci. 16, 1477 (1981).
M. V. Klassen-Neklyudova, Mechanical Twinning of Crystals (Akad. Nauk SSSR, Moscow, 1960; Consultants Bureau, New York, 1964).
M. Sh. Akchurin, Doctoral Dissertation in Mathematical Physics (IK RAN, Moscow, 2001).
M. Sh. Akchurin and R. M. Zakalyukin, Kristallografiya 51(6), 1059 (2006) [Crystallogr. Rep. 51 (6), 994 (2006)].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © P.P. Fedorov, 2008, published in Kristallografiya, 2008, Vol. 53, No. 1, pp. 117–121.
Rights and permissions
About this article
Cite this article
Fedorov, P.P. Tammann paradox and amorphization of substances under pressure. Crystallogr. Rep. 53, 116–120 (2008). https://doi.org/10.1134/S1063774508010148
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063774508010148