Development of a vector algorithm of three-dimensional crystal lattice parametric identification based on estimation of the spacing between adjacent lattice planes

The analysis of a crystal nanostructure is provided by the information obtained from the electron microscopy. Mathematically, a crystal structure is described by unit cells - minimum building blocks, which form the entire crystal lattice by parallel transfer. Parametric identification is an important problem in the field of three-dimensional crystal lattice research. Application of the constant step size gradient descent method to solve this problem ensured sufficient increase of the identification accuracy. However, computational complexity of the applied algorithm significantly exceeds the computational complexity of the existing parametric identification algorithms, which has caused substantial increment of the execution time. In order to eliminate such disadvantage this work proposes vector algorithm of crystal lattice parametric identification implemented with CUDA technology.