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Misfit‐induced changes of lattice parameters in two‐phase systems: coherent/incoherent precipitates in a matrix
Author(s) -
Akhlaghi Maryam,
Steiner Tobias,
Meka Sai Ramudu,
Mittemeijer Eric Jan
Publication year - 2016
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s1600576715022608
Subject(s) - diffraction , lattice (music) , matrix (chemical analysis) , phase (matter) , materials science , condensed matter physics , electron diffraction , optics , statistical physics , physics , quantum mechanics , acoustics , composite material
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 second‐phase 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.