2017
DOI: 10.1063/1.4995435
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Nearest-neighbour distribution of distances in crystals from extended X-ray absorption fine structure

Abstract: Extended X-ray absorption fine structure (EXAFS) is a powerful probe of the distribution of nearest-neighbour distances around selected atomic species. We consider here the effect of vibrational disorder in crystals. The potential of EXAFS for the accurate evaluation of the coefficient of bond thermal expansion and its temperature dependence is discussed, with the aim of stimulating and facilitating the comparison with the results from total scattering experiments. The meaning of the distribution asymmetry in … Show more

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Cited by 31 publications
(46 citation statements)
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“…The asymmetry parameter C 3 , which also increases with increasing temperature, was described using the corresponding Einstein model expression with terms to third order [31], yielding values up to 10 −4Å 3 at room temperature in good agreement with previous work [33,35]. All higher cumulants were set to zero because a full anharmonic fit using the fourth-order terms up to the fourth cumulant [36] showed no significant difference of the resulting bond-stretching force constants but strongly reduced the stability of the fit.…”
Section: Discussionsupporting
confidence: 87%
“…The asymmetry parameter C 3 , which also increases with increasing temperature, was described using the corresponding Einstein model expression with terms to third order [31], yielding values up to 10 −4Å 3 at room temperature in good agreement with previous work [33,35]. All higher cumulants were set to zero because a full anharmonic fit using the fourth-order terms up to the fourth cumulant [36] showed no significant difference of the resulting bond-stretching force constants but strongly reduced the stability of the fit.…”
Section: Discussionsupporting
confidence: 87%
“…As a consequence, the reduction of the bond distance is progressively smaller than the reduction of the crystallographic distance (proportional to the lattice parameters), so that the bond compressibility becomes progressively smaller than the lattice compressibility. The complex relationships between force constants, cumulants and asymmetry parameter is discussed on general grounds in [9]. We suggest here that the slight increase of asymmetry when the pressure increases can be somewhat connected to the perpendicular vibrations and in particular to the increase of vibrational anisotropy (to be further discussed in Section 5.2.2), which would progressively enhance the contribution of the larger distances to the distribution.…”
Section: Bond and Lattice Compressibilitiesmentioning
confidence: 72%
“…The effective pair potential is in principle dependent on temperature and pressure. In constant-pressure measurements as a function of temperature, the effective force constants k i can be generally considered as independent of temperature [39]; a rigid shift of the effective potential has anyway to be taken into account, which significantly contributes to the bond expansion measured by the first cumulant [9].…”
Section: Bond and Lattice Compressibilitiesmentioning
confidence: 99%
“…Mechanism (iv) involves some change in symmetry or space group of a crystal [28][29][30]. As to the mechanism (v), earlier, Barron et al [1,15,20,22,[31][32][33] argued qualitatively that the tension effect is responsible for the NTE in ZB and diamond semiconductors. Upon heating, transverse motion causes the bond to shorten and decreases volume in solids.…”
Section: Introductionmentioning
confidence: 99%