Abstract
For performing lattice dynamical model calculations it is necessary to impose a number of constraints on the force constants, i.e. a number of invariance conditions and the Huang-conditions. For lattices with point masses, these have been derived by Born and Huang [1]. In this paper, the above mentioned conditions are obtained for lattices containing rigid molecules on a way somewhat different to that of W. Ludwig [11–13]. The formalism used here leads to shorter expressions for the final results which, moreover, satisfy the same symmetry relations as the corresponding results for lattices with point masses.
Similar content being viewed by others
References
Born, M., Huang, K.: Dynamical Theory of Crystal Lattices, at the Clarendon press Oxford 1954
Leibfried, G.: Handbuch der Physik, 7/1, Springer-Verlag Berlin 1955
Hedin, L.T.: Arkiv för Fysik18, 369 (1960)
Leibfried, G., Ludwig, W.: Z. Physik160, 80 (1960)
Lax, M.: J. Phys. Chem. Solids, Suppl.1, 583 (1965)
Wallace, D.C.: Revs. Mod. Phys.37, 57 (1965)
Ludwig, W.: Springer Tracts in Mod. Physics43 (1967)
Cran, G.C., Sangster, M.J.L.: J. Phys. C: Solid St. Phys.5, 1008 (1972)
Cran, G.C., Sangster, M.J.L.: J. Phys. C: Solid St. Phys.7, 4213 (1974)
Venkataraman, G., Sahni, V.C.: Revs. Mod. Phys.42, 409 (1970)
Falter, C., Ludwig, W.: Z. Physik242, 276 (1971)
Ludwig, W.: Archives of Mechanics—Archiwum Mechaniki Stosowanej28, 501, Warszawa 1976
Ludwig, W.: Theory of elastic constants in lattices with additional degrees of freedom (preprint)
Nicklow, R., Wakabayashi, N., Smith, H.G.: Phys. Rev. B5, 4951 (1972)
Geick, R., Lehner, N., Strobel, K.H.: Il Nuovo Cimento38B, 309 (1977)
Cowley, R.A.: Phys. Rev.134, A981 (1964)
Stirling, W.G.: J. Phys. C. Solid State5, 2711 (1972)
Piseri, L.: J. Phys. C: Solid St. Phys.6, 1521 (1973)
Pawley, G.S., Reynolds, P.A., Kjems, K.J., White, J.W.: Sol. State Comm.9, 1353 (1971)
Thomas, M.W., Ghosh, R.E.: Molecular Physics29, 1489 (1975)
Pawley, G.S.: phys. stat. sol. (b)49, 475 (1972)
Rousseau, M., Nouet, J., Zarembowitch, A.: Journal Physics and Chemistry of Solids35, 921 (1974)
Strobel, K., Geick, R.: J. Phys. C: Solid State9, 4223 (1976)
Sarkar, S.K., Sengupta, S.: phys. stat. sol. (b)83, 263 (1977)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Geick, R. Invariance and stability conditions in lattices with rigid molecules. Z Physik B 32, 5–13 (1978). https://doi.org/10.1007/BF01322180
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01322180