In this review work we discuss applicability of Bragg scattering to examination of nanocrystals. We approximate the structure of nanograins by a commonly accepted core-shell model. We show that, for principal reasons, the Bragg equation is not applicable directly to nanocrystals. We use the Bragg relation through application of the apparent lattice parameter (alp) concept which we use to evaluate quantitatively the core-shell model. We also introduce a new parameter of the structure, Equivalent Cubic Lattice Parameter (EClp), which quantifies deviation of the real (trigonal) lattice from its parent fcc structure which is due to the lattice deformation (e.g. by the stacking faults). We show examples of an analysis of experimental X-ray and neutron diffraction data based on the alp methodology and on the theoretical patterns calculated for various core-shell models.
%0 Journal Article
%1 Palosz2007
%A Palosz, Bogdan
%A Stelmakh, Svetlana
%A Grzanka, Ewa
%A Gierlotka, Stanislaw
%A Palosz, Witold
%C LEKTORAT MINT, POSTFACH 80 13 60, D-81613 MUNICH, GERMANY
%D 2007
%I OLDENBOURG VERLAG
%J Zeitschrift für Kristallographie
%K XRD lattice_expansion nanoparticles
%N 11
%P 580-594
%R 10.1524/zkri.2007.222.11.580
%T Application of the apparent lattice parameter to determination of the core-shell structure of nanocrystals
%V 222
%X In this review work we discuss applicability of Bragg scattering to examination of nanocrystals. We approximate the structure of nanograins by a commonly accepted core-shell model. We show that, for principal reasons, the Bragg equation is not applicable directly to nanocrystals. We use the Bragg relation through application of the apparent lattice parameter (alp) concept which we use to evaluate quantitatively the core-shell model. We also introduce a new parameter of the structure, Equivalent Cubic Lattice Parameter (EClp), which quantifies deviation of the real (trigonal) lattice from its parent fcc structure which is due to the lattice deformation (e.g. by the stacking faults). We show examples of an analysis of experimental X-ray and neutron diffraction data based on the alp methodology and on the theoretical patterns calculated for various core-shell models.
@article{Palosz2007,
abstract = {In this review work we discuss applicability of Bragg scattering to examination of nanocrystals. We approximate the structure of nanograins by a commonly accepted core-shell model. We show that, for principal reasons, the Bragg equation is not applicable directly to nanocrystals. We use the Bragg relation through application of the apparent lattice parameter (alp) concept which we use to evaluate quantitatively the core-shell model. We also introduce a new parameter of the structure, Equivalent Cubic Lattice Parameter (EClp), which quantifies deviation of the real (trigonal) lattice from its parent fcc structure which is due to the lattice deformation (e.g. by the stacking faults). We show examples of an analysis of experimental X-ray and neutron diffraction data based on the alp methodology and on the theoretical patterns calculated for various core-shell models.},
added-at = {2010-08-19T14:26:54.000+0200},
address = {LEKTORAT MINT, POSTFACH 80 13 60, D-81613 MUNICH, GERMANY},
affiliation = {Palosz, B (Reprint Author), Polish Acad Sci, Inst High Pressure Phys UNIPRESS, Ul Sokolowska 29-37, PL-01142 Warsaw, Poland. [},
author = {Palosz, Bogdan and Stelmakh, Svetlana and Grzanka, Ewa and Gierlotka, Stanislaw and Palosz, Witold},
biburl = {https://www.bibsonomy.org/bibtex/25ef0cff3efad71f693ae612429986d05/pmd},
category = {Crystallography},
cited = {7},
doi = {10.1524/zkri.2007.222.11.580},
email = {Palosz@unipress.waw.pl},
file = {Palosz2007.pdf:Palosz2007.pdf:PDF},
groups = {public},
interhash = {504395040f968ed7aa25d17aebc364c7},
intrahash = {5ef0cff3efad71f693ae612429986d05},
iso = {Z. Kristall.},
issn = {0044-2968},
journal = {Zeitschrift für Kristallographie},
keywords = {XRD lattice_expansion nanoparticles},
language = {English},
misc_id = {ISI:000252330100003},
number = 11,
pages = {580-594},
plus = {X-RAY-DIFFRACTION; PAIR DISTRIBUTION FUNCTION; RANGE ATOMIC ORDER; NANOSTRUCTURED MATERIALS; POWDER DIFFRACTION; NEUTRON-DIFFRACTION; THERMAL VIBRATIONS; COMPLEX MATERIALS; NANOPARTICLES; REFINEMENT},
publisher = {OLDENBOURG VERLAG},
references = {50},
timestamp = {2011-09-27T11:23:26.000+0200},
title = {Application of the apparent lattice parameter to determination of the core-shell structure of nanocrystals},
type = {Article},
username = {pmd},
volume = 222,
year = 2007
}