| 1 | Author
| Thomas Wieder | Requires cookie* | | Title
| A Generalized Debye Scattering Formula and the Hankel Transform  | | | Abstract
| The diffracted intensity of an x-ray or neutron diffraction experiment is expressed as an integral over an atomic position distribution function. A generalized Debye scattering formula results. Since this distribution function is expanded into a series of spherical harmonics, an inverse Hankel transform of the intensity allows the calculation of the expansion coefficients which describe the atomic arrangement completely. The connections between the generalized Debye scattering formula and the original Debye formula as well as the Laue scattering formula are derived. | | |
Reference
| Z. Naturforsch. 54a, 124—130 (1999); received December 15 1998 | | |
Published
| 1999 | | |
Keywords
| X-ray Scattering, Debye Formula, Hankel Transform | | |
Similar Items
| Find | | DEBUG INFO
| | | | TEI-XML for
| default:Reihe_A/54/ZNA-1999-54a-0124.pdf | | | Identifier
| ZNA-1999-54a-0124 | | | Volume
| 54 | |
2 | Author
| Z. Naturforsch | Requires cookie* | | Title
| A Neutron and X-ray Diffraction Study of the Structure of Nd Phosphate Glasses  | | | Abstract
| Diffraction experiments were performed on two (Nd203)x(P205)i_ x glasses for studying the en vironmental order of the Nd3+ cations. In case of the metaphosphate glass (x = 0.25) a combination of X-ray and neutron diffraction data was used to separate the N d-0 and 0 -0 first neighbor peaks. An N d-0 coordination number of 6.6±0.3 and a mean N d-0 distance of (0.239±0.001) nm were determined. In the ultraphosphate glass studied (x = 0.20) these values increase to 6.9±0.3 and (0.240±0.001) nm where the N d-0 coordination number is equal to the number of terminal oxygen atoms (0 T) which are available for coordination of each Nd3+ cation. This indicates the formation of NdOn polyhedra not sharing any O atom where also all 0 T's are in N d-0T-P positions. In the metaphosphate glass the NdO" polyhedra have to share some 0 T sites. | | |
Reference
| Z. Naturforsch. 56a, 237—243 (2001); received January 8 2001 | | |
Published
| 2001 | | |
Keywords
| Neutron Scattering, X-ray Scattering, Short-range Order, Phosphate Glasses | | |
Similar Items
| Find | | DEBUG INFO
| | | | TEI-XML for
| default:Reihe_A/56/ZNA-2001-56a-0237.pdf | | | Identifier
| ZNA-2001-56a-0237 | | | Volume
| 56 | |
|