Computer simulation of shifts of an atomic plane in a two-dimensional crystal lattice

1999 ◽  
Vol 35 (1) ◽  
pp. 132-135 ◽  
Author(s):  
L. Yu. Kozak
Keyword(s):  
Computer Simulation ◽  
Crystal Lattice ◽  
Atomic Plane ◽  
Two Dimensional ◽  
Dimensional Crystal

Stability of ideal infinite two-dimensional crystal lattice

2012 ◽  
Vol 57 (2) ◽  
pp. 92-95 ◽  
Author(s):  
E. A. Podolskaya ◽  
A. M. Krivtsov ◽  
A. Yu. Panchenko ◽  
P. V. Tkachev
Keyword(s):  
Crystal Lattice ◽  
Two Dimensional ◽  
Dimensional Crystal

scholarly journals Diffraction of X-rays by Two-Dimensional Crystal Lattice

Nature ◽  
1929 ◽  
Vol 124 (3117) ◽  
pp. 125-125 ◽  
Author(s):  
W. L. BRAGG
Keyword(s):  
Crystal Lattice ◽  
X Rays ◽  
Two Dimensional ◽  
Dimensional Crystal

scholarly journals Algorithm of reconstruction of a three-dimensional crystal structure from two-dimensional projections

2019 ◽  
Vol 43 (2) ◽  
pp. 324-331 ◽  
Author(s):  
D.V. Kirsh ◽  
A.S. Shirokanev ◽  
A.V. Kupriyanov
Keyword(s):  
Crystal Lattice ◽  
Three Dimensional ◽  
Analytical Calculation ◽  
Reconstruction Error ◽  
Identification Accuracy ◽  
Two Dimensional ◽  
Reconstruction Algorithms ◽  
Total Reconstruction ◽  
Dimensional Crystal

The article deals with a problem of three-dimensional crystal lattice reconstruction, which is an important stage in the X-ray structural analysis. The accuracy of parametric and structural identification of crystals directly depends on the quality of crystal lattice reconstruction. The proposed algorithm of reconstruction of a three-dimensional crystal lattice is based on minimizing the distances from each node to a line projected onto a specified plane. Three sets of two-dimensional node coordinates, obtained from three two-dimensional projections, are used as input data. We performed an analytical calculation of the reconstruction error, allowing the total reconstruction accuracy to be estimated. The results of computational experiments confirmed the high quality of the proposed reconstruction algorithms and its stability against the distortion of node coordinates. In addition, we revealed a problem of lattice system separability, with the identification accuracy for monoclinic, rhombic and tetragonal systems found to be 34%, 53% and 10%, respectively.

Diffraction of X-rays by Two-dimensional Crystal Lattice

Nature ◽  
1929 ◽  
Vol 123 (3103) ◽  
pp. 604-605 ◽  
Author(s):  
W. LINNIK
Keyword(s):  
Crystal Lattice ◽  
X Rays ◽  
Two Dimensional ◽  
Dimensional Crystal

Continuum model of two-dimensional crystal lattice of metamaterials

2017 ◽  
Vol 26 (3) ◽  
pp. 224-237 ◽  
Author(s):  
Yahong Zhou ◽  
Peijun Wei ◽  
Yueqiu Li ◽  
Li Li
Keyword(s):  
Crystal Lattice ◽  
Continuum Model ◽  
Two Dimensional ◽  
Dimensional Crystal
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