Construction of muffin-tin potentials for liquid metals

Mukhopadhyay, Goutam; Jain, Arohi; Ratti, V K

doi:10.1016/0038-1098(73)90252-4

Cited by 57 publications

(29 citation statements)

References 10 publications

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“…In some papers [17][18][19] the values of the electrical resistivity calculated with the extended Ziman theory are found to be in very good agreement with corresponding data. But most of these papers are somewhat liable to the question of the internal consistency of the calculations.…”

Section: Introductionsupporting

confidence: 65%

Electronic Transport Properties of Liquid Less-Simple Metals

Sharmin

Bhuiyan

Khaleque

et al. 2002

phys. stat. sol. (b)

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PACS: 72.15.Jf; 72.15.Lh; 72.15.Cz Electronic transport properties, namely the electrical resistivity and the thermoelectric power, of liquid less-simple metals, Zn, Cd, Hg, In, Tl, Sn, Pb, Sb, and Bi, are calculated using Ziman's theory. The effective electron-ion and ion-ion interactions are described by the Bretonnet-Silbert model. The static structure factors are evaluated by the self-consistent Variational Modified Hypernetted Chain (VMHNC) integral equation of liquids. The results for the electrical resistivity are fairly good when compared with experimental data, but the agreement improves significantly when the blurring of the Fermi surface due to the finite electron mean free path is accounted for. The values of the thermoelectric power, for most systems, have the same sign and order of magnitude as the experimental ones. The results for the thermopower also show that the contribution of the energy dependent term of the electron-ion potential is significant for the concerned systems.

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Section: Introductionsupporting

confidence: 65%

Electronic Transport Properties of Liquid Less-Simple Metals

Sharmin

Bhuiyan

Khaleque

et al. 2002

phys. stat. sol. (b)

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“…The muffin-tin potential in the molten state used in our calculation was constructed from the pair distribution function directly obtained by X-ray diffraction according to the formula proposed by Kukhopadhyay, Jain and Ratti 28 . The method of numerical calculation was identical to the one described in the original papers of Ziman 25 and Ratti and Evans 27 .…”

Section: Application To Electron-transport Propertiesmentioning

confidence: 99%

Structure of Molten Mg, Ca, Sr, and Ba by X-ray Diffraction

Waseda

Yokoyama

Suzuki

1975

Zeitschrift Für Naturforschung A

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X-ray diffraction patterns have been measured on molten alkaline earth metals (Mg, Ca, Sr, and Ba) in the temperature range from the melting points to 880 °C. In all cases the structure factors obtained were temperature insensitive. By the usual Fourier transformation of the structure factors, the atomic radial distribution functions were evaluated. From these the interatomic distances and coordination numbers were estimated. The structural information was applied to a discussion of the electron-transport properties using the Ziman theory.

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“…We start by constructing the muffin potentials necessary to the electrons scattering. The muffin tin potentials building following the method of Mukhopadhyay [22] is explained in reference [23]. We calculate the resistivity for liquid bismuth at 300, 550 and 800°C with the two sets of valencies 5 and 3.…”

Section: Resultsmentioning

confidence: 99%