Abstract
Harmonic dynamical behaviour of thallous halides (TlCl and TlBr) have been studied using the new van der Waals three-body force shell model (VTSM), which incorporates the effects of the van der Waals interaction along with long-range Coulomb interactions, three-body interactions and short-range second neighbour interactions in the framework of rigid shell model (RSM). Phonon dispersion curves (PDC), variations of Debye temperature with absolute temperature and phonon density of state (PDS) curves have been reported for thallous halides using VTSM. Comparison of experimental values with those of VTSM and TSM are also reported in the paper and a good agreement between experimental and VTSM values has been found, from which it may be inferred that the incorporation of van der Waals interactions is essential for the complete harmonic dynamical behaviour of thallous halides.
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References
Y Fuzi, J. Phys. Soc. Jpn 44, 1237 (1978)
E R Cowley and A Okazaki, Proc. R. Soc. London A300, 45 (1965)
A D Redaumond and B Yates, J. Phys. C5, 1589 (1972)
R M Brade and B J Yates, J. Phys. C4, 417 (1971)
R Kamal and R G Mandiratta, J. Phys. Soc. Jpn 26, 621 (1969)
M Krauzmann, C.R. Acad. Sci. (France) B268, 14 (1969)
J M Brom Jr and H F Frazen, J. Chem. Phys. 54, 2874 (1971)
S Hausshal, Phys. Rev. 165, 959 (1968)
R P Lowndes and D H Martin, Proc. R. Soc. London A308, 473 (1969)
G E Morse and A W Lawson, J. Phys. Chem. Solids 26, 939 (1969)
H N Gupta and R S Upadhyaya, Phys. Status Solidi B93, 781 (1979)
H N Gupta and R S Upadhyaya, Phys. Status Solidi B102, 143 (1980)
H H Lal, Three-body forces and lattice dynamics of halides of some heavy monovalent metals, Ph.D. Thesis (Banaras Hindu University, 1971) Unpublished
R K Singh and H N Gupta, Proc. R. Soc. London 349, 289 (1976)
Vipasha Mishra, S P Sanyal and R K Singh, Phil. Mag. A55, 583 (1981)
R K Singh, H N Gupta and S P Sanyal, IL Nuovo Cemento 60, 89 (1980)
H H Lal and M P Verma, J. Phys. C5, 543 (1972)
E W Kellarmann, Phil. Trans. Roy. Soc. (London) A238, 513 (1940); Proc. Roy. Soc. A178, 17 (1941)
A M Karo and J R Hardy, J. Chem. Phys. 48, 3173 (1968)
B G Dick and A W Overhauser, Phys. Rev. 112, 90 (1958)
A D B Woods, W Cochran and B N Brockhouse, Phys. Rev. 119, 980 (1960)
U Schroder, Solid State Commun. 4, 347 (1966)
A N Basu and S Sengupta, Phys. Status Solidi 29, 367 (1968)
M P Verma and R K Singh, Phys. Status Solidi 33, 769 (1969); 36, 335 (1969); 38, 851 (1970)
R K Singh, H N Gupta and M K Agrawal, Phys. Rev. B17, 894 (1978)
K S Upadhyaya, M Yadav and G K Upadhyaya, Phys. Status Solidi B229, 1129 (2002)
M Blackmann, Z. Phys. 82, 421 (1933); Trans. Roy. Soc. A236, 102 (1955)
C Smart, G R Wilkinson, A M Karo and J R Hardy, Lattice dynamics edited by R F Wallis (Pergamon Press, Oxford, 1965)
E Burstein and M Lax, Phys. Rev. 97, 39 (1955)
R P Lowndes and D H Martin, Proc. R. Soc. London A308, 473 (1969)
J R Tessman, A Kahn and W Schokley, Phys. Rev. 92, 890 (1953)
R Z Bachrach and F C Brown, Phys. Rev. B1, 818 (1970)
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Tiwari, S.K., Shukla, L.J. & Upadhyaya, K.S. Harmonic dynamical behaviour of thallous halides. Pramana - J Phys 74, 793–804 (2010). https://doi.org/10.1007/s12043-010-0099-3
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DOI: https://doi.org/10.1007/s12043-010-0099-3