Lattice-parameter change induced by accommodation of precipitate/matrix misfit; misfitting nitrides in ferrite

Akhlaghi, Maryam; Steiner, Tobias; Meka, Sai Ramudu; Leineweber, Andreas; Mittemeijer, E. J.

doi:10.1016/j.actamat.2015.07.017

Cited by 35 publications

(26 citation statements)

References 41 publications

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“…2). Upon nitriding, initially the elastic accommodation of the matrix/precipitate volume misfit causes long-range strains in the matrix which lead to an overall matrix expansion which causes the ferrite reflections to shift to lower diffraction angles [75]. A system composed of such fine nitride platelets and the ferrite matrix can diffract coherently, i.e.…”

Section: Formation Of Ternary (Cr ½ Mo ½ )N ¾ Plateletsmentioning

confidence: 99%

Continuous and discontinuous precipitation in Fe-1 at.%Cr-1 at.%Mo alloy upon nitriding; crystal structure and composition of ternary nitrides

Steiner

Meka

Rheingans

et al. 2016

Philosophical Magazine

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. Continuous and discontinuous precipitation in Fe-1 at.%Cr-1 at.%Mo alloy upon nitriding; crystal structure and composition of ternary nitrides. Philosophical Magazine, 96(15) nitride particles within the ferrite lamellae. The observed structural and compositional changes of the ternary nitrides have been attributed to the thermodynamic and kinetic constraints for the internal precipitation of (misfitting) nitrides in the ferrite matrix.

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Section: Formation Of Ternary (Cr ½ Mo ½ )N ¾ Plateletsmentioning

confidence: 99%

Continuous and discontinuous precipitation in Fe-1 at.%Cr-1 at.%Mo alloy upon nitriding; crystal structure and composition of ternary nitrides

Steiner

Meka

Rheingans

et al. 2016

Philosophical Magazine

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“…The precipitation of finely distributed misfitting nitride platelets in a ferrite matrix leads to hydrostatic expansion of the ferrite matrix lattice [11,12]. This lattice expansion was quantified with a model based on elastic accommodation of the misfit.…”

Section: Introductionmentioning

confidence: 99%

“…This lattice expansion was quantified with a model based on elastic accommodation of the misfit. The model was validated recently by comparison of its predictions for the lattice parameter changes with the lattice parameter changes as measured by XRD performed on homogeneously nitrided Fe-Cr and Fe-V alloys [12].…”

Section: Introductionmentioning

confidence: 99%

Diffraction-line shifts and broadenings in continuously and discontinuously coarsening precipitate-matrix systems: coarsening of initially coherent nitride precipitates in a ferrite matrix

et al. 2015

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The initial precipitation of misfitting particles can be accompanied by elastic accommodation of the precipitate/matrix misfit leading to considerable matrix lattice dilatation/contraction and variable lattice microstrain. In this stage, the entire assembly of matrix and precipitate particles, as a whole, can diffract coherently. Upon aging of the system, relaxation of the accommodated misfit can occur by continuous and/or discontinuous coarsening of the precipitates. These processes are associated with distinctly different, characteristic diffraction phenomena, also involving a transition from coherent to incoherent diffraction of precipitates and matrix. For the case of, initially fully coherent, alloying element nitrides in a homogeneously nitrided ferrite matrix, these effects have been identified and analyzed, thus allowing tracing of misfitrelaxation processes.

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“…Experimental 'ferrite' lattice-parameter change [dots; data from Akhlaghi et al (2015)] as a function of vol.% of (a) CrN precipitates and (b) VN precipitates and the predictions on the basis of equation (4) The values of the constant lattice parameter of the ferrite matrix at this stage of prolonged aging at room temperature, i.e. after all N has precipitated, as recorded from specimens containing different amounts of nitrogen, are shown as a function of the volume fraction of developed 00 precipitates in Fig.…”

Section: Figurementioning

confidence: 99%

“…The formulae presented below describe the changes of the relative volume/lattice parameters of the matrix, of the misfitting particles and of the assembly, i.e. matrix plus misfitting particles [for more information see Akhlaghi et al (2015)]. …”

Section: Lattice-parameter Changes Due To Elastically Accommodated MImentioning

confidence: 99%

Misfit-induced changes of lattice parameters in two-phase systems: coherent/incoherent precipitates in a matrix

et al. 2016

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Elastic accommodation of precipitation-induced or thermally induced misfit leads to lattice-parameter changes in crystalline multi-phase systems. Formulae for calculation of such misfit-induced lattice-parameter changes are presented for the aggregate (matrix + second-phase particles) and for the individual matrix and second phase, recognizing the occurrence of either coherent or incoherent diffraction by the matrix and second-phase particles. An overview and an (re)interpretation on the above basis is presented of published lattice-parameter data, obtained by X-ray diffraction analyses of aggregates of matrix plus secondphase particles. Examples for three types of systems consisting of a matrix with misfitting second-phase particles are dealt with, which differ in the origin of the misfit (precipitation or thermally induced) and in the type of diffraction (coherent or incoherent diffraction of matrix plus second-phase particles). The experimental data are shown to be in good to very good agreement with predictions according to the current treatment.

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Lattice-parameter change induced by accommodation of precipitate/matrix misfit; misfitting nitrides in ferrite

Cited by 35 publications

References 41 publications

Continuous and discontinuous precipitation in Fe-1 at.%Cr-1 at.%Mo alloy upon nitriding; crystal structure and composition of ternary nitrides

Continuous and discontinuous precipitation in Fe-1 at.%Cr-1 at.%Mo alloy upon nitriding; crystal structure and composition of ternary nitrides

Diffraction-line shifts and broadenings in continuously and discontinuously coarsening precipitate-matrix systems: coarsening of initially coherent nitride precipitates in a ferrite matrix

Misfit-induced changes of lattice parameters in two-phase systems: coherent/incoherent precipitates in a matrix

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