Residual resistivity of clusters in solid solutions

Luiggi, Ney; Simon, Jean Paul; Guyot, P.

doi:10.1088/0305-4608/10/5/016

Cited by 31 publications

(10 citation statements)

References 13 publications

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“…According to the theory developed here, we should observe a constant value of p at first, followed by a decrease at the onset of coalescence. This result, already mentioned in Luiggi (1979) without reference to the decomposition mechanism, is contrary to experiment, thus reaffirming the ideas of Radomsky and loffler (1979) in this respect, and in opposition to those of Mimault et a1 (1 978).…”

Section: Structural Parameters and Decomposition Kineticssupporting

confidence: 84%

“…In table 2 we summarise the characteristics of the theoretical curves of ab initio calculations which we consider are close to experiment (Luiggi et al 1980b) in the position or magnitude of the maximum. If we want to take refraction effects into account and still keep the same maximum we should use smaller values for the parameters C, and C, .…”

Section: Injluence Of the Zone Concentrationmentioning

confidence: 69%

“…This is reaffirmed in Luiggi (1979), where the anomalous evolution of the resistivity with time implies a time evolution of the size cp and/or of C,, but electron microscopy indicates constant values for both of these parameters, possibly implying demixing by means of spinodal decomposition. According to the theory developed here, we should observe a constant value of p at first, followed by a decrease at the onset of coalescence.…”

Section: Structural Parameters and Decomposition Kineticsmentioning

confidence: 74%

“…The latest attempts (see Aubauer (1978) and Luiggi (1979) for summaries) tend to centre on the earlier ideas of Rossiter and Wells (1971) and of Hillel er a1 (1975), who apparently propose a single physical mechanism to explain the anomaly but use different calculational methods (isotropic and anisotropic, respectively). These two methods are compatible only in the limit of small GP zones, where the increase in resistivity is due to the increase in the scattering cross section of atoms associated with a cluster (Wilkes 1968).…”

Section: Introductionmentioning

confidence: 99%

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Classification of Markov chains describing the evolution of random strings

Gairat¹,

Малышев²,

Menshikov³

et al. 1995

Russ. Math. Surv.

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We have calculated the residual resistivity of an AI-Zn alloy in the first stages of aging at 20 "C, determining the influence of numerous basic parameters (shape, density and concentration of Guinier-Preston (GP) zones, pseudopotentials and decomposition kinetics) on the resistivity anomaly. By considering the GP zones to be truly spherical and evolving temporally with a diameter proportional to the one-third power of the aging time we achieved agreement between experiment and theory. 0305-4608/84/112601 + 12%02.25 0 1984 The Institute of Physics

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Section: Structural Parameters and Decomposition Kineticssupporting

confidence: 84%

Section: Injluence Of the Zone Concentrationmentioning

confidence: 69%

Section: Structural Parameters and Decomposition Kineticsmentioning

confidence: 74%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Classification of Markov chains describing the evolution of random strings

Gairat¹,

Малышев²,

Menshikov³

et al. 1995

Russ. Math. Surv.

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“…Using Eqs (7), (8) and (9) the electrical resistivity of the Al 6.8% at Zn alloy were assessed. Figure 2 shows ρ as a function of the radius of GP zones for each of the scattering centers in the alloy for different concentrations of clusters or GP zones and keeping a fixed value of μ = 300.…”

Section: Boltzmann Transport Equationmentioning

confidence: 99%

Electrical resistivity anomaly: A consequence of nanometric particles in a metal matrix

Subero

Luiggi

2014

JCM

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The additament of an impurity to a metal matrix generates a shift in the local electron density of states due to a change in the local electric potential so that an electron or electron beam will be scattered upon interaction with the ensuing potential, causing its wave function measured at a distance far removed from the source to show a quantum phase change. This phenomenon, reflected in Friedel's law, permits to relate the quantum phase shifts with both the density of states at the Fermi level and the transport properties of the system. This work calculates the electric resistivity of nanometric clusters in an aluminiumsupercell, emulating the formation of Guinier-Preston zones during pre-precipitation in an Al-Zn alloy. The density of states is evaluated each time a new atom of solute is added to the Al supercell using the ab initio method of the Density Functional Theory or DFT in its GGA and LDA approximations via the Dmol 3 package of Materials Studio Software. A resistivity anomaly is obtained when, in concordance with literature reports for diluted AlZn alloys, the supercell contains 25 atoms, thus confirming that the electric resistivity anomaly during cluster formation is a consequence of both density of states variations and quantum transitions at the Fermi Level for a nanometric size in particular. The results are contrasted with those obtained via the transport equation.

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Calculation of the extra‐resistivity of GPZ using the T‐matrix formalism

Gläser

1984

Cryst. Res. Technol.

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I t is well known froiii experiiiient, that the foriiiutiori of GPZ is accotnpaiiied with characteristic changes in the residual resistivity. Brorri theoreticul point of view this supposecl stateinerit becoriies a coiiiplicutetl problem of the electronic structure of alloys. A series of triodels have beerr developed during the last twenty years (see for exaniple HILLEL, HOSSITER; LUIGQI et al. ; RICHTER, SCKUBERT). Although soiiie progress was uchieved in both the detailed calculations for real systerns (HILLEL, ItOSSITER; LUIGCI e t al.) un(1 the iiiodel calculations (RICHTER, SCHUBERT) soiiie essential points remained unclear : (i) What is the physical reason for the extra resistivity? (ii) How deteriiiines the sign of Lhe extra resistivity? (iii) The lack of calculations for real systetns without fitting any etiipirical paraineters.These three points are closely related to each other and the aim of the present paper is to contribute to answer these questions.The residual resistivity of alloys of simple rnetals can be described within the Zirnan upproximation ( 0'I'hrts in the fraule of the present iiiodel the extra resistivity is cuused by the coherent scattering of the iftipurities within a Gl'Z. It nmy be positive or negative depending on the interference terms I( It) ant1 the pair distribution n( ft), i.e. the size, shape anti crystallic structure of the GI'Z. Pigure 1 contuiris the interference term for apair of ZII utouis in at1 A1 host. l t is a quickly oscillutirig function of lt with inagnitudes not larger thun about 3 % of the residuul resistivity per atoiii in the interesting region up from nearest rieighbour distance. Note that uccording to (3) only discrete values of f < contribute to the extra resistivity. Jhie to the oscillations sign and magnitude of the interference terms depend very sensitively on the scattering properties of the impurities. This means that the extru resistivity is Inuch more influenced by details of the electronic structure than the residual resistivity itself.On the other hand the existing practical calculations of the extra resistivity use severul pseudopotentials, in the case of AlZn the Harrisson forrnfactor ( HARRISSON) 4 n ) = ( 4 n s 2 Z h 2 + B)lQo/42) ( 4)

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Residual resistivity of clusters in solid solutions

Cited by 31 publications

References 13 publications

Classification of Markov chains describing the evolution of random strings

Classification of Markov chains describing the evolution of random strings

Electrical resistivity anomaly: A consequence of nanometric particles in a metal matrix

Calculation of the extra‐resistivity of GPZ using the T‐matrix formalism

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