Liquid Semiconductors by Melvin Cutler

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By Melvin Cutler

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O n e can derive from S(Q) the pair distribution function g(r). The probability of finding a second particle in a volume element dQ at a distance r from the first particle is (N/Q)g(r) dQ, where Ν/Ω is the average density of particles. 11) In determining S(Q), a number of corrections need to be m a d e which are discussed in detail in Ender by s review (Taue, 1974). Also, experimental limita­ tions lead to a maximum in the available range of Q, so that the calculation of g{r) requires a "termination correction" in the integral.

2) Β where : /Ά = - μ Β = (dG/dx) . TtP This leads to a relationship for A G which will be used later: m AG (x) = χ [ μ ( χ ) - μ (1)] + (1 - χ ) [ μ ( χ ) - μ (0)]. 3) has the form: AS = -R[x In χ + (1 - x) ln(l - x)]. 4) Although many alloys deviate appreciably from ideal mixtures, they often are qualitatively in agreement with Eq. 5. The quantity AH is effectively the energy of interaction between Α - B neighboring atoms, as compared to Α-A neigh­ bors and B - B neighbors. For weak interactions between A and B, AH is comparable to the thermal energy KT.

7. The quantity AS * is defined as the height of AS above secants drawn between compositions tellurium and T l T e and between T l T e and Tl. It is seen that there is good agreement with the theoretical dashed curve for T l T e + Tl, and poorer agreement for T l T e + Te. This supports the view that the Tl-rich alloy is a mixture of Tl and T l T e . It also suggests that the Te-rich alloy may not be a simple mixture of T l T e and atomic Te. Bhatia and Hargrove (1973) use a more elaborate model in which three species occur in the liquid at all compositions, T l T e , Tl, and Te, and each is described by a chemical potential μ derived from the theory of solutions.

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