Electrical resistivity and absolute thermoelectric power of liquid indium-nickel-manganese ternary alloys

Auchet, J.; Rhazi, A; Gasser, J.G.

doi:10.1088/0953-8984/11/15/010

Cited by 3 publications

(3 citation statements)

References 13 publications

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“…If we plot the resistivity of caesium and sodium versus energy (figure 17) (Zrouri's thesis [22]), it shows clearly that adding sodium to caesium increases the Fermi energy, thus moves the resistivity of caesium into an η 2 resonance due to d electrons, and explains at least qualitatively the sharp increase. Similarly, some interesting results have been found and explained for Ni-Mn-In ternary alloys by Rhazi et al [23,24]. Schematically, the resistivity of binary In-Ni and In-Mn is represented in figure 18.…”

Section: Discussionsupporting

confidence: 57%

Understanding the resistivity and absolute thermoelectric power of disordered metals and alloys

Gasser

2008

J. Phys.: Condens. Matter

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We recall definitions of the electronic transport properties, direct coefficients like electrical and thermal transport conductivities and crossed thermoelectric coefficients like the Seebeck, Peltier and Thomson coefficients. We discuss the links between the different electronic transport coefficients and the experimental problems in measuring these properties in liquid metals. The electronic transport properties are interpreted in terms of the scattering of electrons by 'pseudo-atoms'. The absolute thermoelectric power (ATP), thermopower or Seebeck coefficient is known as the derivative of the electrical resistivity versus energy. The key is to understand the concept of resistivity versus energy. We show that the resistivity follows approximately a 1/E curve. The structure factor modulates this curve and, for a Fermi energy corresponding to noble and divalent metals, induces a positive thermopower when the free electron theory predicts a negative one. A second modulation is introduced by the pseudopotential squared form factor or equivalently by the squared t matrix of the scattering potential. This term sometimes introduces an anti-resonance (divalent metals) which lowers the resistivity, and sometimes a resonance having an important effect on the transition metals. Following the position of the Fermi energy, the thermopower can be positive or negative. For heavy semi-metals, the density of states splits into an s and a p band, themselves different from a free electron E(0.5) curve. The electrons available to be scattered enter the Ziman formula. Thus if the density of states is not a free electron one, a third modulation of the [Formula: see text] curve is needed, which also can change the sign of the thermopower. For alloys, different contributions weighted by the concentrations are needed to explain the concentration dependent resistivity or thermopower. The formalism is the same for amorphous metals. It is possible that this mechanism can be extended to high-temperature crystalline alloys or even disordered semiconductors since we can separate the transport coefficients between the effect of the number of charge carriers and a scattering term linked to carrier mobility.

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Section: Discussionsupporting

confidence: 57%

Understanding the resistivity and absolute thermoelectric power of disordered metals and alloys

Gasser

2008

J. Phys.: Condens. Matter

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“…Thermoelectric power of Na-K mixture at various compositions is not available in the literature. Nevertheless, since the trend of the variation of the thermoelectric power with composition is usually the opposite to that of the resistivity, 87 here to perform a qualitative analysis, we assume that the trend of variation of the thermoelectric power in N-K is inversely proportional to that of the resistivity curve of Na-K given in ref. 86.…”

Section: Discussionmentioning

confidence: 99%

Modeling of thermodiffusion in liquid metal alloys

Eslamian

Sabzi

Saghir

2010

Phys. Chem. Chem. Phys.

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In this paper following the linear non-equilibrium thermodynamics approach, an expression is derived for the calculation of the thermodiffusion factor in binary liquid metal alloys. The expression is comprised of two terms; the first term accounts for the thermally driven interactions between metal ions, a phenomenon similar to that of the non-ionic binary mixtures, such as hydrocarbons; the second term is called the electronic contribution and is the mass diffusion due to an internal electric field that is induced as a result of the imposed thermal gradient. Both terms are formulated as functions of the net heats of transport. The ion-ion net heat of transport is simulated by the activation energy of viscous flow and the electronic net heat of transport is correlated with the force acting on the ions by the rearrangement of the conduction electrons and ions. A methodology is presented and used to estimate the liquid metal properties, such as the partial molar internal energies, enthalpies, volumes and the activity coefficients used for model validation. The prediction power of the proposed expression along with some other existing thermodiffusion models for liquid mixtures, such as the Haase, Kempers, Drickamer and Firoozabadi formulas are examined against available experimental data obtained on ground or in microgravity environment. The proposed model satisfactorily predicts the thermodiffusion data of mixtures that are composed of elements with comparable melting points. It is also potentially and qualitatively able to predict a sign change in thermodiffusion factor of Na-K liquid mixture. With some speculation, the sign change is attributed to an anomalous change in thermoelectric power of Na-K mixture with composition.

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“…Apart from the Esposito method there are also the Dreirach one [7] and several other propositions [8,20], where the authors notice that the obtained resistivity may significantly differ from experiment and even the free electron model calculations may result in better agreement [21].…”

Section: Fermi Energymentioning

confidence: 99%

Electrical resistivity of liquid binary and ternary alloys

Ornat

Paja

2010

Appl. Phys. A

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New method of calculation of the electrical resistivity of liquid and amorphous alloys is presented. The method is based on the Morgan-Howson-Saub (MHS) model but the pseudopotentials are replaced by the scattering matrix operators. The Fermi energy is properly determined by the accurate values of the phase shifts. The model depends on a very small number of universal parameters and gives stable results. The calculated values of the resistivity agree well with available experimental data for a substantial number of binary alloys. Moreover, the results for some ternary alloys were also obtained.

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Electrical resistivity and absolute thermoelectric power of liquid indium-nickel-manganese ternary alloys

Cited by 3 publications

References 13 publications

Understanding the resistivity and absolute thermoelectric power of disordered metals and alloys

Understanding the resistivity and absolute thermoelectric power of disordered metals and alloys

Modeling of thermodiffusion in liquid metal alloys

Electrical resistivity of liquid binary and ternary alloys

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