Abstract
The shape of NMR absorption line for typical ionic crystals, molecular crystals, and glasses is studied. The proposed theory and available experimental results suggest that the shape of NMR spectra of conventional dielectric crystals (and even molecular) is the convolution of a frequency-truncated nearly-rectangle-shaped function (characteristic oscillations in free precession signals) and a Gaussian-like function. A Gaussian-like shape of the spectra of glasses with a rigid structure (no oscillations in the free precession signal) is probably associated with a random scatter of interatomic distances. The results are interpreted within the framework of the proposed theory. It is demonstrated that, at least for solids the lattice of which contains no isolated groups of nuclei and are not quasi-one-dimensional, the structure only weakly affects the shape of the spectrum, which in turn is associated with the onset of dynamic chaos in the spin system.
Similar content being viewed by others
References
N. Bloembergen, E. M. Purcell, and R. V. Pound, Phys. Rev. 73, 679 (1948).
A. Abragam, Principles of Nuclear Magnetism, International Series of Monographs on Physics (Clarendon, Oxford, 1983).
P. W. Anderson, Phys. Rev. 82, 342 (1951).
R. Kubo and K. Tomita, J. Phys. Soc. Jpn. 9, 888 (1954).
I. J. Lowe and R. Norberg, Phys. Rev. 157, 46 (1957).
V. O. Zavel’sky and E. I. Fedin, Zh. Strukt. Khim. 14, 58 (1972).
V. O. Zavel’sky and E. I. Fedin, in Proceedings of the 11th European Congress on Molecular Spectroscopy, Tallinn, 1973, p. 292.
A. A. Lundin and B. N. Provotorov, Sov. Phys. JETP 43, 1149 (1976).
N. V. Zavarnitskii and I. S. Solodovnikov, J. Exp. Theor. Phys. 87, 546 (1998).
V. E. Zobov, M. A. Popov, Yu. N. Ivanov, and A. I. Lifshits, J. Exp. Theor. Phys. 88, 157 (1999).
K. Lefman, B. Buras, E. J. Pedersen, et al., Phys. Rev. B 50, 15623 (1995).
J. Jensen, Phys. Rev. B 52, 9611 (1995).
E. G. Sorte, B. V. Fine, and B. Saam, Phys. Rev. B 83, 064302 (2011).
C. M. Sanchez, P. R. Levstein, R. A. Acosta, and A. K. Chattah, Phys. Rev. A 80, 012328 (2009).
B. Meier, J. Kohlrautz, and J. Haase, Phys. Rev. Lett. 108, 177602 (2012).
S. W. Morgan, V. Oganesyan, and G. S. Boutis, Phys. Rev. B 86, 214410 (2012).
P. Gaspard, Lecture Notes for the International Summer School on Fundamental Problems in Statistical Physics XI (Leuven, Belgium, 2005). arxiv: cond-matter, 2006
P. Gaspard, in Proceedings of the Symposium of Henri Poincare, Ed. by P. Gaspard, M. Henneaux, and F. Lambert (Int. Solvay Inst. for Phys. and Chem., Brussels, 2007), p. 97.
P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge Univ. Press, Cambridge, 1998).
D. Ruelle, Phys. Rev. Lett. 56, 405 (1986).
V. E. Zobov and A. A. Lundin, J. Exp. Theor. Phys. 103, 904 (2006).
G. A. Alvarez and D. Suter, Phys. Rev. Lett. 104, 230403 (2010).
S. I. Doronin, E. B. Fel’dman, and F. I. Zenchuk, J. Chem. Phys. 134, 034102 (2011).
F. Lado, J. D. Memory, and G. W. Parker, Phys. Rev. B 4, 1406 (1971).
V. L. Bodneva and A. A. Lundin, J. Exp. Theor. Phys. 108, 992 (2009).
M. Munovitz and A. Pines, Adv. Chem. Phys. 6, 1 (1987).
R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of NMR in One and Two Dimensions (Mir, Moscow, 1990; Clarendon, Oxford, 1987).
A. A. Lundin, J. Exp. Theor. Phys. 83, 759 (1996).
M. A. Lavrent’ev and B. V. Shabat, Methods of Complex Variable Function Theory (Nauka, Moscow, 1987), Chap. 7 [in Russian].
A. A. Lundin and A. V. Makarenko, Sov. Phys. JETP 60, 570 (1984).
A. A. Lundin, Sov. Phys. JETP 75, 187 (1992).
M. Engelsberg and I. J. Lowe, Phys. Rev. B 12, 3547 (1975).
V. D. Fedotov and N. A. Abdrashitova, Vysokomol. Soedin. A 22, 624 (1980).
R. E. Fornes, G. W. Parker, and I. D. Memory, Phys. Rev. B 1, 4228 (1970).
B. T. Gravely and I. D. Memory, Phys. Rev. B 3, 3426 (1971).
D. Metzger and J. Gaines, Phys. Rev. 142, 644 (1966).
A. I. Kitaigorodskii, Molecular Crystals (Nauka, Moscow, 1971) [in Russian].
S. Hayashi, J. Mater. Chem. 7, 1043 (1997).
V. O. Zavelsky, N. I. Bezmen, and V. A. Zharikov, J. Non-Cryst. Solids 224, 225 (1998).
B. C. Schmidt, T. Riemer, S. C. Kohn, H. Behrens, and R. Dupree, Geochim. Cosmochim. Acta 64, 513 (2000).
V. O. Zavelsky and T. P. Salova, Geochem. Int. 39, 748 (2010).
V. O. Zavelsky, T. P. Salova, M. B. Epelbaum, N. I. Bezmen, and L. N. Zavelskaya, Phys. Chem. Glasses 41, 182 (2000).
V. O. Zavel’sky, T. P. Salova, A. A. Lundin, and N. I. Bezmen, Russ. J. Phys. Chem. A 78, 602 (2004).
W. van der Lugt and W. J. Caspers, Phys. Rev. 30, 1658 (1964).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.O. Zavel’skii, A.A. Lundin, 2016, published in Khimicheskaya Fizika, 2016, Vol. 35, No. 5, pp. 6–15.
Rights and permissions
About this article
Cite this article
Zavel’skii, V.O., Lundin, A.A. Effect of the structure of solid compounds on the shape of their NMR spectra and manifestations of dynamic chaos in paramagnetic spin systems. Russ. J. Phys. Chem. B 10, 379–387 (2016). https://doi.org/10.1134/S1990793116030118
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1990793116030118