Methods of investigating metals and their applications

Krishtal, M. A.; Mokrov, A. P.

doi:10.1007/bf00664966

Cited by 5 publications

(6 citation statements)

References 1 publication

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“…[3][4][5][6][7] Since these coefficients are nor- Manuscript submitted April 24, 1998. mally composition dependent, the use of analytical solutions has been restricted to small concentration ranges. [8,9,10] The objective of this article is to present a new approach in which the four ternary interdiffusion coefficients are determined over selected composition ranges from a single diffusion couple experiment. In this analysis, interdiffusion fluxes of all components are determined directly from the experimental concentration profiles and integrated over selected regions in the diffusion zone; from such flux integration, independent relations are set up for the evaluation of the four ternary interdiffusion coefficients treated as constants and considered as average values over the selected composition ranges.…”

Section: Introductionmentioning

confidence: 99%

A new analysis for the determination of ternary interdiffusion coefficients from a single diffusion couple

Dayananda

Sohn

1999

Metall Mater Trans A

130

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Concentration profiles that develop in a ternary diffusion couple during an isothermal anneal can be analyzed directly for average ternary interdiffusion coefficients. A new analysis is presented for the determination of average values for the main and cross-interdiffusion coefficients over selected regions in the diffusion zone from an integration of interdiffusion fluxes, which are calculated directly from experimental concentration profiles. The analysis is applied to selected isothermal diffusion couples investigated with ␣ (fcc) Cu-Ni-Zn alloys at 775 ЊC, ␤ (bcc) Fe-Ni-Al alloys at 1000 ЊC, and ␥ (fcc) Ni-Cr-Al alloys at 1100 ЊC. Average ternary interdiffusion coefficients treated as constants are calculated over composition ranges on either side of the Matano plane and examined for the diffusional interactions among the diffusing components. The ternary interdiffusion coefficients determined from the new analysis are observed to be consistent with those determined by the Boltzmann-Matano analysis at selected compositions in the diffusion zone. The ternary interdiffusion coefficients are also employed in analytical solutions based on error functions for the generation of concentration profiles for the selected diffusion couples. The generated profiles are a good representation of the experimental profiles including those exhibiting uphill diffusion or zero-flux plane (ZFP) development for the individual components. Uncertainties in the values of the interdiffusion coefficients calculated on the basis of the new analysis are found to be minimal.

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Section: Introductionmentioning

confidence: 99%

A new analysis for the determination of ternary interdiffusion coefficients from a single diffusion couple

Dayananda

Sohn

1999

Metall Mater Trans A

130

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“…If we multiply (17), (18) by Ω 1 , Ω 2 , respectively, and add both equations, we get (by virtue of (16)):…”

Section: Darken Methods For Interdiffusion With Volume Changementioning

confidence: 99%

“…Generally, the interdiffusion coefficients depend on composition. Several methods have been proposed for calculating the concentration-dependent diffusivities based on experimental data [11,13,15,16,18,21,24]. All of them use Matano's concept of determining the diffusion coefficient for a given concentration of a curve c = c(x) in a solid [20].…”

Section: Introductionmentioning

confidence: 99%

Generalization of Matano's method: interdiffusion in solutions with volume change

Danielewski¹,

Leszczyński²

2015

ijma

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We present the formalism of Matano's method and an effective expression for the Matano plane position in finite systems. The flux formula for mixtures with volume change avoids the specific assumptions of Sauer and Freise. The classical case of diffusion between two semiinfinite media, with a concentration discontinuity as the initial condition is extended to finite diffusion couple and can also be applied if a volume change occurs. The formulae related to the diffusion coefficient and Matano plane position are independent of the origin of the coordinate system. The paper explains which assumptions are important and natural in this theory.

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“…It becomes, therefore, practically impossible to determine the diffusivity matrix in the case of multicomponent systems using this approach. In order to overcome such difficulties, a number of attempts were made by various researchers to devise methods to evaluate the diffusion coefficient of multicomponent systems, i.e., Fujita and Gosting [12] for composition independent diffusion coefficient in ternary systems, Krishtal et al, [13,14] Sauer and Freise, [15] and Roper and Whittle. [16] Dayananda and coworkers [17][18][19] have put forward an alternative approach to solving the problem.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Characteristics of Interdiffusion between 17-4 PH Steel and Nickel

Laik

Gawde

Bhanumurthy

et al. 2008

Metall Mater Trans A

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The characteristics of interdiffusion between precipitation-hardened 17-4 PH grade stainless steel and nickel were studied in the temperature range of 900°C to 1100°C, using diffusion couples of these two materials. The diffusion coefficients of the major diffusing elements Fe, Ni, Cr, and Cu were evaluated for this multicomponent system. The diffusion paths plotted on the Fe-Ni-Cr isotherm showed a flat ''S'' shape, suggesting insignificant interaction among the diffusing species. The temperature dependence of the diffusion coefficients for each element was evaluated, and the activation energies for diffusion were determined. The asymmetric nature of concentration variation of the elements at the diffusion zone was observed and was explained by the difference in diffusivities of the diffusing species. The activation energy for diffusion of Ni was found to be lower than that of Fe and Cr.

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Methods of investigating metals and their applications

Cited by 5 publications

References 1 publication

A new analysis for the determination of ternary interdiffusion coefficients from a single diffusion couple

A new analysis for the determination of ternary interdiffusion coefficients from a single diffusion couple

Generalization of Matano's method: interdiffusion in solutions with volume change

Characteristics of Interdiffusion between 17-4 PH Steel and Nickel

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