“…It shows that an immediate response to shortening (or elongation) of interatomic distances at the grain edge is an elongation (and shortening) of corresponding distances just underneath the grain surface. The strong shortening of interatomic distances between the first two layers (they determine the surface strain) relaxes along the plate radius in a wavy manner which is similar to the density waves found in spherical diamond grains [7].…”
Section: Change Of the Nearest Neighbor Interatomic Distances R 1 And...supporting
confidence: 61%
“…(a) bulk diamond grains with highly symmetric shapes: sphere, cube and octahedrons terminated by ( 111) and (110) planes, (b) plate-shaped grains with one type of basal planes (100), (110), (111)A, or (111)B. We discern between (111)A surface which is terminated by one and (111)B which is terminated by three dangling bonds [5,7]. tive Bragg intensities similar to that of (111)A terminated plates.…”
Section: Experimental Diffraction Data Analysis: Determination Of The...mentioning
confidence: 99%
“…Figures 8 and 9 present experimental I(Q) exper , G(r) exper and δ(r) exper functions and their relation to that calculated for the related MD models. Diffraction data analysis was performed using NanoPDF64 program [7]. Detail procedure of matching experimental to theoretical data was the same as that described in reference [5,6].…”
Section: Structure Of Plate Shaped Diamond Nanocrystals Under Examina...mentioning
confidence: 99%
“…To identify strains and describe their distribution in plate shaped nanodiamonds we use the procedure similar to that applied for identification of density waves in spherical grains [7]. Here we examine changes of in-plane interatomic distances r 2 and inter-planar distances r 1 between pairs of neighboring atomic layers.…”
Section: A Model Of Relaxation Of Strains In Plate-shaped Diamond Grainsmentioning
confidence: 99%
“…Recently we showed that the real space diffraction analysis assisted by molecular dynamics (MD) is a strong tool in search for atomic structure of nanocrystals [4][5][6]. Using this approach a model of distribution of strains in spherical diamond grains in the form of density waves was recently proposed [7]. The analysis was based on examination of experimental differential interatomic distance diagrams δ(r) [8] which were compared to theoretical diagrams of MD simulated models.…”
Atomic structure of plate-shaped nanodiamonds synthesized from chloroadamantane was identified with application of large-Q powder diffraction data. Both reciprocal and real space methods of experimental data analysis were applied. Theoretical atomistic models of nanodiamonds were obtained with application of molecular dynamics (MD) simulations. It was found that examined nanodiamond samples with average grain size from 1.2 up to 2.5 nm are plates build from only six hexagonal carbon layers and they are terminated by (111)B surfaces with three dangling bonds. MD simulations showed that as a result of relaxation of surface stresses there appears a complex system of compressive and tensile strains across and parallel to the surface of the plate-nanodiamonds. Identification of the internal structure of nanodiamond was performed based on the analysis of differential interatomic distance diagrams derived from pair distribution functions G(r). Based on MD simulations an atomic model of plate-grains of diamond was elaborated. Usefulness of lattice parameters determined in a routine diffraction data analysis for characterization of nanodiamonds is questioned. As an alternative the application of the apparent lattice parameter is recommended. A dependence of the overall apparent lattice parameter 〈alp〉 on the size and shape of nanodiamond grains terminated by low index crystal faces is presented.
“…It shows that an immediate response to shortening (or elongation) of interatomic distances at the grain edge is an elongation (and shortening) of corresponding distances just underneath the grain surface. The strong shortening of interatomic distances between the first two layers (they determine the surface strain) relaxes along the plate radius in a wavy manner which is similar to the density waves found in spherical diamond grains [7].…”
Section: Change Of the Nearest Neighbor Interatomic Distances R 1 And...supporting
confidence: 61%
“…(a) bulk diamond grains with highly symmetric shapes: sphere, cube and octahedrons terminated by ( 111) and (110) planes, (b) plate-shaped grains with one type of basal planes (100), (110), (111)A, or (111)B. We discern between (111)A surface which is terminated by one and (111)B which is terminated by three dangling bonds [5,7]. tive Bragg intensities similar to that of (111)A terminated plates.…”
Section: Experimental Diffraction Data Analysis: Determination Of The...mentioning
confidence: 99%
“…Figures 8 and 9 present experimental I(Q) exper , G(r) exper and δ(r) exper functions and their relation to that calculated for the related MD models. Diffraction data analysis was performed using NanoPDF64 program [7]. Detail procedure of matching experimental to theoretical data was the same as that described in reference [5,6].…”
Section: Structure Of Plate Shaped Diamond Nanocrystals Under Examina...mentioning
confidence: 99%
“…To identify strains and describe their distribution in plate shaped nanodiamonds we use the procedure similar to that applied for identification of density waves in spherical grains [7]. Here we examine changes of in-plane interatomic distances r 2 and inter-planar distances r 1 between pairs of neighboring atomic layers.…”
Section: A Model Of Relaxation Of Strains In Plate-shaped Diamond Grainsmentioning
confidence: 99%
“…Recently we showed that the real space diffraction analysis assisted by molecular dynamics (MD) is a strong tool in search for atomic structure of nanocrystals [4][5][6]. Using this approach a model of distribution of strains in spherical diamond grains in the form of density waves was recently proposed [7]. The analysis was based on examination of experimental differential interatomic distance diagrams δ(r) [8] which were compared to theoretical diagrams of MD simulated models.…”
Atomic structure of plate-shaped nanodiamonds synthesized from chloroadamantane was identified with application of large-Q powder diffraction data. Both reciprocal and real space methods of experimental data analysis were applied. Theoretical atomistic models of nanodiamonds were obtained with application of molecular dynamics (MD) simulations. It was found that examined nanodiamond samples with average grain size from 1.2 up to 2.5 nm are plates build from only six hexagonal carbon layers and they are terminated by (111)B surfaces with three dangling bonds. MD simulations showed that as a result of relaxation of surface stresses there appears a complex system of compressive and tensile strains across and parallel to the surface of the plate-nanodiamonds. Identification of the internal structure of nanodiamond was performed based on the analysis of differential interatomic distance diagrams derived from pair distribution functions G(r). Based on MD simulations an atomic model of plate-grains of diamond was elaborated. Usefulness of lattice parameters determined in a routine diffraction data analysis for characterization of nanodiamonds is questioned. As an alternative the application of the apparent lattice parameter is recommended. A dependence of the overall apparent lattice parameter 〈alp〉 on the size and shape of nanodiamond grains terminated by low index crystal faces is presented.
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