M. Ayadi et al., CALCUL OF THE BAFCL SPECIFIC-HEAT BY USING THE SHELL-MODEL, European journal of solid state and inorganic chemistry, 34(1), 1997, pp. 1-7
The shell model has been developped by Dick, Overhauser [1], and Cochr
an [2,3,4]. It takes account of the electronic density deformation dur
ing the ions movement. The layer electrons form a shell that follow in
stantaneously the hearts of ions. The movement equations are obtained
by considering the heart-heart, heart-shell and shell-shell interactio
ns. The application of this model requires the introduction of sixteen
parameters (ten parameters for the short-range interactions, three pa
rameters for the shell charges Y-i and three spring constants K-i betw
een the core and the shell of the same ion i). The force constants are
determined by an adjustement of the dynamical matrix eigenvalues and
the experimental values of the different modes in the Brillouin zone c
enter. This has allowed US to plot the dispersion curves following two
principal directions (Lambda(0,0,q(z)) and Delta(0,q(y),0)), to plot
the density of states and to plot the specific heat.