Debye—Waller factors of stoichiometric and Al-rich γ-TiAl alloys

Autor: A. G. Fox, E. S. K. Menon
Rok vydání: 1998
Předmět:
Zdroj: Philosophical Magazine A. 77:577-592
ISSN: 1460-6992
0141-8610
DOI: 10.1080/01418619808224070
Popis: Average room temperature Debye-Waller factors B and individual (isotropic) temperature factors B Ti and B Al of γ-TiAl alloys containing 51, 54 and 56 at.% Al have been determined by conventional powder X-ray diffraction. The B values for Ti-50 at.% Al and Ti-56 at.% Al were also measured by the critical voltage method in electron diffraction. The temperature factors were calculated from the X-ray intensities using both free-atom relativistic Hartree-Fock structure factors as well as a set of structure factors obtained from first principles local density calculations for the equiatomic γ-TiAl alloy. The B values determined from the X-ray intensities using the free-atom structure factors were found to be in poor agreement with those determined by electron diffraction whereas the B values calculated from the X-ray intensities using structure factors obtained from first-principles calculations were found to be in good agreement with the electron diffraction data. This difference appears to arise because many of the low-angle structure factors of γ-TiAl (up to hkl = 224) are significantly different from the free-atom values owing to crystal bonding. It was found to be difficult to determine the individual temperature factors B Ti and B Al with high accuracy, particularly for the 54 and 56 at.% Al alloys. This is ascribed to the static contributions to the Debye-Waller factors associated with the excess Al atoms on Ti sites and to the ordering of these excess Al atoms on the Ti sublattice as discussed in recent single-crystal X-ray work on this topic.
Databáze: OpenAIRE