Summary
Frequencyvs. wave vector dispersion relations along three principal symmetry directions [00ζ], [0ζζ] and [ζζζ] and temperature variation of Debye-Waller factors in five face-centred cubic metals, copper, silver, gold, nickel and aluminium, have been computed on the basis of a lattice-dynamical model which considers short-range pairwise forces effective up to second neighbours and long-range Coulomb forces on the lines of Krebs model, and also describes the ionic lattice to be in equilibrium in a medium of electrons. A comparison of theoretical results obtained with the experimental findings indicates that the model gives a reasonably satisfactory description of the lattice-dynamical behaviour in face-centred cubic metals.
Riassunto
Si sono calcolate le relazioni di dispersione della frequenza rispetto al vettore d'onda lungo le tre principali direzioni di simmetria [00ζ], [0ζζ] e [ζζζ] e la variazione di temperatura dei fattori di Debye e Waller in cinque metalli cubici con facce centrate (rame, argento, oro, nickel e alluminio) sulla base di un modello a dinamica reticolare che considera forze appaiate a corto raggio efficaci fino ai secondi vicini e forze di Coulomb a largo raggio in accordo con il modello di Krebs, e descrive inoltre il reticolo ionico in equilibrio in un mezzo di elettroni. Un confronto dei risultati teorici ottenuti con le scoperte sperimentali indica che il modello dà una descrizione ragionevolmente soddisfacente del comportamento a dinamica reticolare in metalli cubici con facce centrate.
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Kumar, M., Hemkar, M.P. Lattice vibrations and Debye-Waller factors in f.c.c. metals. Nuov Cim B 44, 451–468 (1978). https://doi.org/10.1007/BF02726807
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DOI: https://doi.org/10.1007/BF02726807