A novel geometry for powder X-ray diffraction (XRD), termed ‘focal construct geometry’ (FCG) is introduced and developed with both non-ideal samples and non-ideal sample conditions. FCG utilises an annular beam that has the unique feature of ‘focusing’ scattering maxima at single loci along a primary axis, hence offering diffraction data of enhanced intensity. This main advantage of FCG can be used within fields in need of rapid material identification, such as security screening in airports. A theoretical comparison between FCG and conventional transmission mode XRD showed that even though FCG suffers from broader diffraction peaks, an alternative approach to FCG data interpretation has the potential to provide narrower scattering maxima than conventional XRD. However, in order to employ this approach, discrimination between converging and diverging FCG scattering maxima is essential. Peak broadening was investigated by altering various aspects of FCG instrumentation components by either pencil beam XRD or FCG, indicating broad diffraction peaks independent of the beam geometry employed. Development of FCG resulted in the successful analysis of non-ideal samples, such as non-crystalline liquid samples, samples exhibiting preferred orientation and samples with large grain size, demonstrating advantages over conventional XRD. Furthermore, ideal samples (in terms of crystallinity, preferred orientation and grain size) were analysed by FCG under non-ideal conditions. This involved randomly orientating a single planar sample with respect to the primary axis, contrary to previous research that present FCG with a single planar sample normal to the primary axis. Sample rotation resulted in FCG scattering maxima with different xyz coordinates depending on the degree, axis and direction of rotation. Moreover, FCG analysis of multiple samples (normal to the primary axis) showed that as with all XRD arrangements, a priori knowledge of the samples’ position along the primary axis is required for effective data analysis. Investigation into the ability of FCG’s annular beam to act as a pre-sample coded aperture demonstrated an alternative method to interpret FCG images by recovering conventional XRD data. Additionally, two novel post-sample encoders (linear wire and Archimedean spiral) were considered. This enabled spatial discrimination of unknown samples along a primary axis and material identification for conventional XRD techniques. Combination of FCG with an absorbing edge post-sample encoder indicated discrimination between converging and diverging FCG scattering maxima. This ability can enable interpretation of single FCG images, as well as depth information of unknown samples within an inspection volume (e.g. airport luggage), hence enabling material identification. / © Cranfield University 2014

A novel geometry for powder X-ray diffraction (XRD), termed ‘focal construct geometry’ (FCG) is introduced and developed with both non-ideal samples and non-ideal sample conditions. FCG utilises an annular beam that has the unique feature of ‘focusing’ scattering maxima at single loci along a primary axis, hence offering diffraction data of enhanced intensity. This main advantage of FCG can be used within fields in need of rapid material identification, such as security screening in airports. A theoretical comparison between FCG and conventional transmission mode XRD showed that even though FCG suffers from broader diffraction peaks, an alternative approach to FCG data interpretation has the potential to provide narrower scattering maxima than conventional XRD. However, in order to employ this approach, discrimination between converging and diverging FCG scattering maxima is essential. Peak broadening was investigated by altering various aspects of FCG instrumentation components by either pencil beam XRD or FCG, indicating broad diffraction peaks independent of the beam geometry employed. Development of FCG resulted in the successful analysis of non-ideal samples, such as non-crystalline liquid samples, samples exhibiting preferred orientation and samples with large grain size, demonstrating advantages over conventional XRD. Furthermore, ideal samples (in terms of crystallinity, preferred orientation and grain size) were analysed by FCG under non-ideal conditions. This involved randomly orientating a single planar sample with respect to the primary axis, contrary to previous research that present FCG with a single planar sample normal to the primary axis. Sample rotation resulted in FCG scattering maxima with different xyz coordinates depending on the degree, axis and direction of rotation. Moreover, FCG analysis of multiple samples (normal to the primary axis) showed that as with all XRD arrangements, a priori knowledge of the samples’ position along the primary axis is required for effective data analysis. Investigation into the ability of FCG’s annular beam to act as a pre-sample coded aperture demonstrated an alternative method to interpret FCG images by recovering conventional XRD data. Additionally, two novel post-sample encoders (linear wire and Archimedean spiral) were considered. This enabled spatial discrimination of unknown samples along a primary axis and material identification for conventional XRD techniques. Combination of FCG with an absorbing edge post-sample encoder indicated discrimination between converging and diverging FCG scattering maxima. This ability can enable interpretation of single FCG images, as well as depth information of unknown samples within an inspection volume (e.g. airport luggage), hence enabling material identification.

QC 351 A7 no. 07 / The Meinel Reducing Camera for the U. S. Naval Observatory's 60-inch telescope, Flagstaff, Arizona, comprises an f /10 collimator designed by Meinel and Wilkerson, and a Leica 50-mm f/2 Summicron camera lens. The collimator consists of a thick, 5-inch field lens located close to the focal plane of the telescope, plus four additional elements extending toward the camera. The collimator has an efl of 10 inches, yielding a 1-inch exit pupil that coincides with the camera's entrance pupil, 1.558 inches beyond the final surface of the collimator. There is room between the facing lenses of the collimator and camera to place filters and a grating. The collimated light here is the best possible situation for interference filters. Problems of the collimator design work included astigmatism due to the stop's being so far outside the collimator, and field curvature. Two computer programs were used in development of the collimator design. Initial work, begun in 1964, was with the University of Rochester's ORDEALS program (this was the first time the authors had used such a program) and was continued through July, 1965. Development subsequently was continued and completed on the Los Alamos Scientific Laboratory's program, LASL. The final design, completed January 24, 1966, was evaluated with ORDEALS. This project gave a good opportunity to compare ORDEALS, an "aberration" program, with LASL, a "ray deviation" program. It was felt that LASL was the superior program in this case, and some experimental runs beginning with flat slabs of glass indicated that it could have been used for the entire development of the collimator. Calculated optical performance of the design indicated that the reducing camera should be "seeing limited" for most work. Some astigmatism was apparent, but the amount did not turn out to be harmful in actual astronomical use. After the final design was arrived at, minor changes were made to accommodate actual glass indices of the final melt, and later to accommodate slight changes of radii and thicknesses of the elements as fabricated. An additional small change in spacing between two of the elements was made at the observatory after the reducing camera had been in use for a short time. The fabricated camera is working according to expectations. Some photographs are included in the report to illustrate its performance and utility.