On the relationship among `fʹ texture factors for the principal planes of zirconium, hafnium and titanium alloys

Previous work on the relationship among f0 0 0 2, f1 0 1̄ 0 and f1 1 2̄ 0 in hexagonal materials is examined, and a single cell analysis is described that provides further insight on this subject. The analysis is extended to show the general relationship between f0 0 0 2 and `fʹ for any plane in the system. Also presented is a method for computation of f1 0 1̄ 0 and f1 1 2̄ 0 from inverse pole figure data. Results are consistent with results from direct pole figure data.