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Change of Lattice Parameters in Highly Disperse Nickel Powders
Author(s) -
Gamarnik M. Ya.
Publication year - 1991
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221680202
Subject(s) - lattice (music) , ion , crystal structure , empty lattice approximation , nickel , electron , lattice energy , particle in a one dimensional lattice , materials science , lattice constant , particle size , nearly free electron model , lattice diffusion coefficient , condensed matter physics , chemistry , crystallography , lattice field theory , physics , diffraction , metallurgy , optics , particle physics , gauge theory , acoustics , magnetic resonance imaging , quantum mechanics , radiology , medicine , organic chemistry , effective diffusion coefficient
A monotonous increase of the lattice parameters with the decrease of particle size is established by an X‐ray study for highly disperse nickel powders in the interval of sizes from 4.9 to 35 nm. The relative changes of lattice parameters are from 4.9 × 10 −3 ± 5 × 10 −4 up to 3 × 10 −4 ± 1 × 10 −4 . The effect is explained by the decrease of the intracrystalline pressure in small particles stipulated by electrostatic interaction of the elements of crystal charge lattice. A calculated dependence of the lattice parameters which agrees with experimental curve is obtained in the frameworks of the model suggested by the charge lattice represented by an ion—electron lattice of positive ions and collectivized electrons with regard of the lattice of atomic neutral cores (the contribution of the latter is proved very small as found from the calculations).