21 - 29 of 29 articles
A simple non-iterative process to solve in 2D, 3D and hyperspaces the problem of the tangency of spheres is presented and proved. Solutions are obtained immediately with high numerical precision.
TEM reveals (0001) stacking faults and periodic superstructures in cancrinite-related minerals, afghanite and franzinite, which are interpreted as aperiodic or periodic displacements of the hexagonal (Si,Al)6O12 ring units. Franzinite also shows a superstructure when the structure is projected...
An analysis of the intensity errors from imperfectly spherical crystals with an inhomogeneous incident X- ray beam is presented. The crystals are considered to have either no absorption or strong absorption. The inhomogeneity of the incident beam profile is represented by three possible models:...
A weighting scheme for use in tangent-formula phase development and refinement is derived by application of joint probability distribution functions. It may easily be incorporated in existing computer programs. A weighting scheme for Fourier synthesis is also described; it takes into account the...
The probability density of phase angles for structures with one or more atoms on known positions Sim (1959). Acta Cryst. 12, 813-818 is expressed in terms of normalized difference-structure factors, and used to calculate standard deviations of phases and expectation values for amplitudes (|Er|)...
A procedure is described whereby crude atomic coordinates obtained from a medium-resolution electron density map (~3-4 A) with the aid of Watson-Kendrew models may be refined to native data of near-atomic resolution using only a limited subset of the data and non-interactive computer graphics....
The temperature effect of X-ray integrated reflection intensities is discussed theoretically in the energy region near the absorption edge of Ga in GaAs perfect crystal. From the calculation based on the dynamical theory of diffraction, it is concluded that the integrated intensity of in the...
Neumann's principle is applied for drawing an analogy between the constant intensity curves of critical scattering and the von Laue diagrams of X-ray scattering in single crystals.
A recurrence relationship allows structure factors to be rapidly calculated for a trial structure translated to alternative sites in the unit cell.
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