scholarly journals Researching methods of reconstruction of three-dimensional crystal lattice from images of projections

2015 ◽  
Author(s):  
A.S. Shirokanev ◽  
◽  
D.V. Kirsh ◽  
A.V. Kupriyanov ◽  
◽  
...  
Keyword(s):  
Crystal Lattice ◽  
Three Dimensional ◽  
Methods Of Reconstruction ◽  
Dimensional Crystal

scholarly journals A method for extracting crystal grain boundary using three-dimensional crystal lattice model

2009 ◽  
Vol 29-1 (2) ◽  
pp. 1103-1103
Author(s):  
Tomoko ENDO ◽  
Naomichi SAKAMOTO ◽  
Takuya YASUNO ◽  
Naoki MUKAWA
Keyword(s):  
Grain Boundary ◽  
Crystal Lattice ◽  
Lattice Model ◽  
Three 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.

scholarly journals Moving an atom by swapping places across a crystal lattice without vacancies

2021 ◽  
Vol 2056 (1) ◽  
pp. 012023
Author(s):  
V I Askerova ◽  
E V Kalashnikov
Keyword(s):  
Crystal Lattice ◽  
Three Dimensional ◽  
One Dimensional ◽  
Dimensional Crystal

Abstract The mechanism of moving an atom through a crystal lattice without vacancies is considered. This situation can be observed when all sites of the lattice are occupied by atoms of the same type, or when some of them are occupied by isotopes of the same atoms. It is shown that in a three-dimensional crystal lattice constructed from identical atoms without vacancies, one-dimensional motion of the own atom along the lattice chain is possible. This movement is realized as a Frenkel-Kontorova soliton.

An Image Reconstruction System Applied to High Voltage Microscopy

1975 ◽  
Vol 33 ◽  
pp. 292-293
Author(s):  
D. E. Johnson
Keyword(s):  
High Voltage ◽  
Prior Information ◽  
Block Diagram ◽  
Three Dimensional ◽  
Real Space ◽  
Two Dimensional ◽  
Efficient Manner ◽  
Fourier Methods ◽  
Tilt Series ◽  
Methods Of Reconstruction

Increased specimen penetration; the principle advantage of high voltage microscopy, is accompanied by an increased need to utilize information on three dimensional specimen structure available in the form of two dimensional projections (i.e. micrographs). We are engaged in a program to develop methods which allow the maximum use of information contained in a through tilt series of micrographs to determine three dimensional speciman structure.In general, we are dealing with structures lacking in symmetry and with projections available from only a limited span of angles (±60°). For these reasons, we must make maximum use of any prior information available about the specimen. To do this in the most efficient manner, we have concentrated on iterative, real space methods rather than Fourier methods of reconstruction. The particular iterative algorithm we have developed is given in detail in ref. 3. A block diagram of the complete reconstruction system is shown in fig. 1.

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