TY - JOUR A1 - Gorfman, S. V. A1 - Tsirelson, Vladimir G. A1 - Pietsch, Ullrich T1 - X-ray diffraction by a crystal in a permanent external electric field : general considerations N2 - The variations of X-ray diffraction intensities from a crystal in the presence of a permanent external electric field is modeled analytically using a first-order stationary perturbation theory. The change in a crystal, induced by an external electric field, is separated into two contributions. The first one is related to a pure polarization of an electron subsystem, while the second contribution can be reduced to the displacements of the rigid pseudoatoms from their equilibrium positions. It is shown that a change of the X-ray diffraction intensities mainly originates from the second contribution, while the influence of the pure polarization of a crystal electron subsystem is negligibly small. The quantities restored from an X-ray diffraction experiment in the presence of an external electric field were analyzed in detail in terms of a rigid pseudoatomic model of electron density and harmonic approximation for the atomic thermal motion. Explicit relationships are derived that link the properties of phonon spectra with E-field-induced variations of a structure factor, pseudoatomic displacements and piezoelectric strains. The displacements can be numerically estimated using a model of independent atomic motion if the Debye - Waller factors and pseudoatomic charges are known either from a previous single-crystal X-ray diffraction study or from density functional theory calculations. The above estimations can be used to develop an optimum strategy for a data collection that avoids the measurements of reflections insensitive to the electric-field-induced variations Y1 - 2005 SN - 0108-7673 ER - TY - JOUR A1 - Pietsch, Ullrich A1 - Tsirelson, Vladimir G. A1 - Gorfan, S. V. T1 - X-ray scattering amplitude of an atom in a permanent external electric field Y1 - 2003 ER - TY - JOUR A1 - Tsirelson, Vladimir G. A1 - Abramov, Yury Fedorovich A1 - Zavodnik, Valerie E. A1 - Stash, Adam I. A1 - Belokoneva, Elena L. A1 - Stahn, Jochen A1 - Pietsch, Ullrich A1 - Feil, Dirk T1 - Critical pionts in a crystal an procrystal Y1 - 1998 ER - TY - JOUR A1 - Avilov, Anatoly S. A1 - Kulygin, Alexander K. A1 - Pietsch, Ullrich A1 - Spence, John C. H. A1 - Tsirelson, Vladimir G. A1 - Zuo, Ming J. T1 - Scanning system for high-energy electron diffractometry Y1 - 1999 UR - http://www3.interscience.wiley.com/journal/118518709/home?CRETRY=1&SRETRY=0 U6 - https://doi.org/10.1107/S0021889899006755 SN - 0021-8898 ER - TY - JOUR A1 - Avilov, Anatoly S. A1 - Lepeshov, G. G. A1 - Pietsch, Ullrich A1 - Tsirelson, Vladimir G. T1 - Multipole analysis of the electron density and electrostatic potential in Germanium by high-resolution electron diffraction Y1 - 2001 SN - 0022-3697 ER - TY - JOUR A1 - Tsirelson, Vladimir G. A1 - Avilov, Anatoly S. A1 - Lepeshov, G. G. A1 - Kuligin, A. K. A1 - Stahn, Jochen A1 - Pietsch, Ullrich A1 - Spence, J. C. H. T1 - Quantitative Analysis of the Inner-Crystal Electrostatic Potential of several Rock-Salt-Structure Crystals Using Accurate Electron-Diffraction Data Y1 - 2001 SN - 1089-5647 ER - TY - JOUR A1 - Gorfman, Semen A1 - Tsirelson, Vladimir A1 - Pucher, Andreas A1 - Morgenroth, Wolfgang A1 - Pietsch, Ullrich T1 - X-ray diffraction by a crystal in a permanent external electric field : electric-field-induced structural response in alpha-GaPO4 N2 - For the first time, site-selective distortion has been investigated for two different structural units in the ternary compound alpha-GaPO4 under the influence of a permanent external electric field. Based on 54 measured reflection intensities, the electric-field-induced distortion of PO4 and GaO4 tetrahedra in alpha-GaPO4 crystals is evaluated using a model of pseudoatomic displacements introduced recently [Gorfman, Tsirelson & Pietsch (2005). Acta Cryst. A61, 387- 396]. A stronger variation of the P-O bond lengths in the PO4 tetrahedron was found compared to the bonds in the GaO4 tetrahedron. The different distortions of the tetrahedra owing to the electric field were analysed in terms of the valence charge density of alpha-GaPO4 and its topological characteristics. The larger charge of the P pseudoatom compared to the Ga atom was recognized as the main reason for the higher sensitivity of the PO4 tetrahedron to a permanent external electric field Y1 - 2006 UR - http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1600-5724 U6 - https://doi.org/10.1107/S0108767305036111 SN - 0108-7673 ER -