Evolution of discrete local levels into an impurity band in solidified inert gas solution

Abstract

The density of states g( ) w of disordered solutions of solidified inert gases have been calculated using the Jacobian matrix method. The transformation of a discrete vibrational level into an impurity zone at a growing concentration of light impurity atoms has been investigated. It is shown that a 1-10% change in the impurity concentration leads to smearing the local discrete level into an impurity band. As this occurs, additional resonance levels appear which carry important information about the impurity-impurity and impurity-basic lattice force interactions in such solutions.

Local vibrational states in real crystals with impurities near the surface

“…The Al admixture to Ag behaves as a light isotopic substitutional impurity [21]. Curve 3 in this figure corresponds to the function S(ω, ε) = −2/(ω ε) [10,23] with ε ≈ −0.749 87. The ω-values at which this curve crosses the G (76) (ω) and G (1) (ω) curves, being the local frequencies, coincide within ∼10 −4 .…”

“…The local frequencies ω l /ω m , where according to [26] 2πω m ≈ 5.537 THz, along with their intensities at the impurity μ 0 and in the first coordination sphere μ 1 are displayed in figure 3 as functions of the parameter α 0 for an Al impurity in Ag. Solid lines represent the calculations using equations ( 7), (9), and ( 13)- (16). The points on the curves indicate the calculated poles of the functions G(76) (λ, α 0 , ε) and the residues at these poles.…”

“…For over six decades LVS have been investigated both theoretically (see e.g., [1][2][3][4][5][6][7][8][9][10]) and experimentally [5,6,[11][12][13][14][15][16][17]. The results obtained in this area can be found in monographs on crystal lattice dynamics, for example in [18][19][20][21][22].…”