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Electron Dispersion in Liquid Alkali Metals

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EN
A local pseudopotential in the second-order perturbation theory is used to study the electron dispersion relation, the Fermi energy and deviation in the Fermi energy from free electron value for the liquid alkali metals. The influence of the five different forms of the local field correction functions on the aforesaid electronic properties is examined explicitly, which reflects the varying effects of screening. The depth of the first negative hump in the electron dispersion curves of the liquid alkali metals increases in the order Na, K, Rb, Cs.
EN
A detailed study of the total crystal energy and heat of solution of ten alkali based alloys is made within the framework of the second order perturbation theory and employing the pseudo alloy atom model. Three different forms of the local field correction functions, viz. Harrison, Taylor, and Ichimaru and Utsumi, are used to incorporate the exchange and correlation effects while computing the band structure part of the total energy. Reasonable agreement with the experimental values of the total energy of pure components is found (corresponding to the concentration factor x=0 or 1). It is observed that for all the systems, for small impurity concentration factors, the alloys form very good homogeneous solid solutions. Also the interaction parameter Δ E/x(1-x) does not depend on x, whenever the difference in the atomic sizes of the two components making up the alloy is small.
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