Ordering Energy and Effective Pairwise Interactions in a Binary Alloy of Simple Metals

Hayes, Timothy M.; Brooks, Harvey; Bienenstock, Arthur

doi:10.1103/physrev.175.699

Cited by 53 publications

(5 citation statements)

References 18 publications

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“…Not only has the pseudopotential theory been proved to be an effective tool for the prediction of the thermal, mechanical and electronic properties of metals and binary alloys [1][2][3][4][5], but it has also been found to work well in predicting the superconducting state properties of such systems [6 -8]. The application of pseudopotential theory to a binary alloy or glass involves the assumption of pseudoions with average properties, which are assumed to replace two types of ions in the binary system, and a gas of free electrons is assumed to permeate through them.…”

Section: Introductionmentioning

confidence: 99%

Screening dependence of superconducting state parameters of Cu–Zr metallic glasses

Sharma¹,

Khan²,

Sharma

2004

Physica Status Solidi (b)

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The screening dependence of superconducting state parameters (λ, µ*, T c , α and N 0 V) of nine metallic glasses of the Cu-Zr system has been studied in the BCS-Eliashberg-McMillan framework by employing five forms of dielectric screening function in conjunction with Ashcroft's potential. It is observed that the electron-phonon coupling strength (λ) and transition temperature (T c ) are quite sensitive to the form of the dielectric screening, whereas the Coulomb pseudopotential (µ*), isotope effect exponent (α ) and effective interaction strength (N 0 V) show weak dependences on screening function. The RPA form of dielectric screening is observed to yield the best results for all the glasses of the Cu-Zr system studied in the present work. Present computations yield almost linear variation of T c with concentration x of Cu in the Cu-Zr system, which is in agreement with the experimental data. A linear T c equation is proposed by fitting the present results for RPA screening, which is in conformity with other results for the experimental data.

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Section: Introductionmentioning

confidence: 99%

Screening dependence of superconducting state parameters of Cu–Zr metallic glasses

Sharma¹,

Khan²,

Sharma

2004

Physica Status Solidi (b)

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“…As regards ordering energy, it is independent of concentration but may depend upon temperature and pressure. In principle, w can be determined [44,45] from the first principle by using pairwise interactions of the pseudopotential method but very little work has been done in that direction. Contrary to this, w can be determined very easily from the observed excess free energy of mixing value at equi-atomic composition through the relation,…”

Section: Al-zn and Al-sn Systemsmentioning

confidence: 99%

Thermodynamics of liquid Al–Sn–Zn alloys and concerned binaries in the light of soldering characteristics

Prasad

Mikula

2006

Physica B: Condensed Matter

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“…The integration in (5) is over the k-space unit cell. S k is the volume in the reoiprocal space corresponding to the region of integration.…”

Section: Statistical-pseudopotential Thoory €Or Sromentioning

confidence: 99%

A Statistical‐Pseudopotential Approach to the Calculation of Atomic Short‐Range Order in Solid Solutions

Khwaja

Razmi

1981

Physica Status Solidi (b)

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A method to calculate the atomic short-range order (SRO) for any number of coordination spheres is described in the framework of a statistical-pseudopotential approximation. Calculations are carried out using second-and third-order perturbation expansion of the ionic potential for A1-10 at% Zn, Ni,Fe, and a series of Ni and Pt solid solutions. The numerical results obtained for the SRO parameters on the first three coordination spheres in the two cases are compared with the experimentally measured values. It is found that the third-order theory gives a reasonable agreement with experiment. Es wird eine Methode zur Berechnung der atomaren Nahordnung (SRO) fur jede Anzahl vonKoordinationsspharen im Rahmen der statistischen Pseudopotentialnaherung beschrieben. Rechnungen mit Storungsentwicklung zweiter und dritter Ordnung des Ionenpotentials werden fur AIL10 Atyo Zn, Ni3Fe und einer Reihe von Ni-und Pt-Legierungen durchgefuhrt. Die in diesen beiden Fallen fur die SRO-Parameter fur die ersten drei Koordinationsspharen erhaltenen numerischen Ergebnisse werden mit experimentell gemessenen Werten verglichen. Es wird gefunden, da13 die Theorie dritter Ordnung vernunftige tfbereinstimmung mit dem Experiment gibt.

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Ordering Energy and Effective Pairwise Interactions in a Binary Alloy of Simple Metals

Cited by 53 publications

References 18 publications

Screening dependence of superconducting state parameters of Cu–Zr metallic glasses

Screening dependence of superconducting state parameters of Cu–Zr metallic glasses

Thermodynamics of liquid Al–Sn–Zn alloys and concerned binaries in the light of soldering characteristics

A Statistical‐Pseudopotential Approach to the Calculation of Atomic Short‐Range Order in Solid Solutions

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