To date, various types of constrained interpolation profile (CIP) analysis have been proposed. In this study, the authors first examined the calculation accuracy of two-dimensional (2-D) acoustic field analysis by the CIP-conservative semi-Lagrangian of the second-order (CIP-CSL2) method, in which values of the acoustic field and the integrals between two neighboring points are used, whereas the CIP method involves the use of the values of the acoustic field and their derivatives at grid points. The results obtained by the CIP-CSL2 method, type-M CIP method, and type-C CIP method were compared for a 2-D acoustic field. The results indicate that CIP-CSL2 analysis provides high accuracy of the same order as that of the type-C CIP method. We also investigated the run-time and memory required for this method.
The high-pressure behaviour of LiGdF 4 scheelite (I 4 1 /a, Z = 4) was studied by measuring its angle-dispersive x-ray powder diffraction patterns as a function of pressure and temperature in a diamond anvil cell and a large-volume Paris-Edinburgh cell using a synchrotron radiation source. Upon compression to about 11 GPa at room temperature, the stable structure is of the scheelite type. At higher pressures and T = 298 K, new reflections occur that cannot be explained with the fergusonite structural model previously observed for LiYF 4 . Associated with this is the growth of an amorphous component. All the transformations are largely irreversible upon decompression. Annealing of the sample at 13.1 GPa led to a nucleation of a solid solution series Li y Gd 1−y F 3−2y (P6 3 /mmc, Z = 2) and traces of LiF. The new material Li y Gd 1−y F 3−2y (P6 3 /mmc, Z = 2) was recovered to ambient conditions but back-transformed to a YF 3 -type phase (Pnma, Z = 4) after regrinding at room temperature for several hours. These observations are discussed in relation to the high-pressure high-temperature systematics of the AMX 4 -type compounds.
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