Original Paper
Bipolaron States of Electrons and Magnetic Properties of Metal–Ammonia Systems
V.K. Mukhomorov,
V.K. Mukhomorov
Agrophysical Institute, 14 Grazhdanskii Pr., 195220 St. Petersburg, Russia
Search for more papers by this authorV.K. Mukhomorov,
V.K. Mukhomorov
Agrophysical Institute, 14 Grazhdanskii Pr., 195220 St. Petersburg, Russia
Search for more papers by this authorFirst published: 14 June 2000
Citations: 12
Abstract
A theoretical approach is proposed to describe the concentration and temperature dependences of the static magnetic susceptibility of a metal–ammonia system. A mechanism is also suggested to explain the transition of the system from the paramagnetic to the diamagnetic state. The theory is based on the assumption that both single-particle (polarons) and two-electron bound singlet formations of the bipolaron type exist in the system. It is shown that diamagnetism is due to the electron orbital motion and to the relative motion of the quasiparticles.
References
- [1] E. Huster, Ann. Phys. (Leipzig) 33, 477 (1938).
- [2] S. Freed and N. Sugarman, J. Chem. Phys. 11, 354 (1943).
- [3] A. Demortier and G. Lepoutre, C.R. Acad. Sci., (France) 268, 453 (1969).
- [4] M.F. Deigen, Zh. Eksper.Teor. Fiz. 26, 300 (1954).
- [5] J.C. Thompson, Electrons in Liquid Ammonia, Oxford University Press, Oxford 1979.
- [6] R. Caterall and M.C.R. Symons, J. Chem. Soc. A 3763 (1965); J. Chem. Soc. A 13 (1966).
- [7] W.H. Koehler and J.J. Lagovski, J. Phys. Chem. 73, 2329 (1969).
- [8] V.K. Mukhomorov, Optika i Spektroskopiya 69 (1990), 71, Russian Phys. — Optics and Spectroscopy 69, 43 (1990).
- [9] N. Kestner and D.A. Copeland, in: Proc. Internat. Conf. Metal–Ammonia Solutions, Eds. J.J. Lagovski and M.J. Sienko, Butterworths, London 1970 (p. 27).
- [10] J. Zimbric and L. Kevan, J. Amer. Chem. Soc. 89, 2484 (1967).
- [11] S. Shettler and G. Lepoutre, J. Phys. Chem. 79, 2823 (1975).
- [12] T.L. Hill, J. Chem. Phys. 16, 394 (1948).
- [13] R.A. Ogg, J. Amer. Chem. Soc. 68, 155 (1948).
- [14] R.H. Land and D.E. O'Relly, J. Chem. Phys. 46, 4496 (1967).
- [15] N.F. Mott, Metal–Insulator Transitions, Taylor & Francis, London 1974.
- [16] E. Amold and A. Paterson, J. Chem. Phys. 41, 3089 (1964).
- [17] L. Onsager, Rev. Mod. Phys. 40, 710 (1968).
- [18] F. Tehan, M. Lok, and J. Dye, in: Proc. 165th Nat. Meeting American Chemical Society, Dallas, 1973, Amer. Chem. Soc.
- [19] D.F. Burow and J.J. Lagowski, Adv. Chem. Ser. 50, 125 (1965).
- [20] C.A. Hutchinson and R. Pastor, Rev. Mod. Phys. 25, 285 (1953).
- [21] V.K. Mukhomorov, Optika i Spektroskopiya 74 (1993), 1083, Russian Phys. — Optics and Spectroscopy 74, 644 (1993).
- [22] V.K. Mukhomorov, Fiz. Tekh. Poluprov. 14, 1587 (1980); 16 (), 1095, Soviet Phys. — Semicond. 14, 940 (1982); 16 (1980), 700 (1982).
- [23] V.K. Mukhomorov, Khim. Fiz. 2, 642 (1983); Optika i Spektroskopiya 55 (1983), 246, Soviet Phys. — Optics and Spectroscopy 55, 145 (1983).
- [24] J. Jortner, J. Chem. Phys. 30, 839 (1959).
- [25] V.N. Shubin and S.A. Kabaktchi, Theory and Methods of Radiation Chemistry of Water, Izd. Nauka, Moscow 1969 (in Russian).
- [26] Yu.T. Mazurenko and V.K. Mukhomorov, Optika i Spektroskopiya 41 (1976), 930, Soviet Phys. — Optics and Spectroscopy 41, 550 (1976).
- [27] J. Jortner and S. Rice, Adv. Chem. Ser. 50, 7 (1965).
- [28] I.Z. Fisher, Statistical Theory of Liquids, University of Chicago Press, Chicago 1964.
- [29] A.I. Gubanov, Quantum Electron Theory of Amorphous Conductors. Consultants Bureau, New York 1965.
- [30] V.K. Mukhomorov, Fiz. Tverd. Tela 34 (1992), 2766, Soviet Phys. — Solid State 34, 1480 (1992).
- [31] V.K. Mukhomorov, Fiz. Tverd. Tela 29 (1987), 2902, Soviet Phys. — Solid State 29, 1668 (1987).
- [32] W.B. da Costa and F.M. Peeters, J. Phys.: Condensed Matter 7, 1293 (1995).
- [33] N.N. Bogolyubov, Ukr. Mat. Zh. 2, 3 (1950).
- [34] S.V. Tyablikov, Zh. Eksper. Teor. Fiz. 21, 377 (1951).
- [35] A. Anderson and S.A. Walmsley, Mol. Phys. 9, 1 (1965).
- [36] Ya.G. Dorfman, Diamagnetism and the Chemical Bond, Elsevier, New York 1965.
- [37] V.K. Mukhomorov, Optika i Spektroskopiya 77 (1994), 21, Russian Phys. — Optics and Spectroscopy 77, 28 (1994).
- [38] T. Imbo, A. Pagnamenta, and U. Sukhatme, Phys. Rev. D 29, 1669 (1984).
- [39] R. Kubo, Statistical Mechanics: an Advanced Course with Problems and Solutions, North-Holland Publ. Co., Amsterdam 1965.
- [40] R.A. Newmark, J.C. Stephenson, and J.S. Waugh, J. Chem. Phys. 46, 3514 (1967).
