Lattice Dynamics of B.C.C. Transition Metals

作者: S. K. Mishra , T. N. Singh

DOI: 10.1002/PSSB.2221490211

关键词: Transition metalPotential energyLattice dynamicsDebyeThermodynamicsValence force fieldChemistryCondensed matter physicsPhonon

摘要: A theoretical model for the lattice dynamics of b.c.c. metals is develoed. Contribution to ion-ion interaction evaluated applying valence force field. The contribution potential energy from ion-electron considered by a screened Coulomb potential. Computed phonon dispersion curves and Debye characteristic temperatures α-iron tungsten on basis compare well with experimental results. Cauchy discrepancy expressed in terms an angle-dependent present model. Es wird ein theoretisches Modell fur die Gitterdynamik der k.r.z. Metalle entwickelt. Durch Anwendung des Valenzkraftfeldes Beitrag Ionen-Ionen-Wechselwirkung berechnet. Der Ionen-Elektronenwechselwirkung zur Potentialenergie durch abgeschirmtes Coulombpotential berucksichtigt. Die berechneten Phononendispersionskurven und charakteristischen Debye-Temperaturen α-Eisen Wolfram auf Basis Modells stimmen gut mit experimentellen Ergebnissen uberein. Cauchy-Diskrepanz im angegebenen einer winkelabhangigen ausgedrackt.

参考文章(18)
D H Parkinson, The specific heats of metals at low temperatures Reports on Progress in Physics. ,vol. 21, pp. 226- 270 ,(1958) , 10.1088/0034-4885/21/1/307
F. H. Featherston, J. R. Neighbours, Elastic Constants of Tantalum, Tungsten, and Molybdenum Physical Review. ,vol. 130, pp. 1324- 1333 ,(1963) , 10.1103/PHYSREV.130.1324
G. Duyckaerts, Chaleurs spécifiques du fer de 1,5 à 20°K Physica D: Nonlinear Phenomena. ,vol. 6, pp. 401- 408 ,(1939) , 10.1016/S0031-8914(39)90596-3
Millard F. Manning, Electronic Energy Bands in Body-Centered Iron Physical Review. ,vol. 63, pp. 190- 202 ,(1943) , 10.1103/PHYSREV.63.190
C. Zwikker, Messungen der spezifischen Wärme von Wolfram zwischen 90 und 2600 0 abs European Physical Journal. ,vol. 52, pp. 668- 677 ,(1928) , 10.1007/BF01369650
B.N. Brockhouse, H.E. Abou-Helal, E.D. Hallman, Lattice vibrations in iron at 296°K Solid State Communications. ,vol. 5, pp. 211- 216 ,(1967) , 10.1016/0038-1098(67)90258-X
S.H. Chen, B.N. Brockhouse, Lattice vibrations of tungsten Solid State Communications. ,vol. 2, pp. 73- 77 ,(1964) , 10.1016/0038-1098(64)90043-2
V. K. Thakur, T. N. Singh, Lattice Dynamics of Transition Metals Physica Status Solidi B-basic Solid State Physics. ,vol. 138, pp. 407- 414 ,(1986) , 10.1002/PSSB.2221380204