Institute of Metals Division - On Kurdjumow-Sachs Orientation Relationship in Successive Phase Transformations

Based on Kurdjumoiv-Sachs orientation relationship for the fee bee transformation in metals, the jirzal crystal orientation resulting from successive transformations of bee-fee-bee has been analyzed mathematically. There are 528 different variants; many of ther are crystallograpyically equirvalent. Specific examples show that, for equal probability of all the variants, the principal crystallographic axes [100 ], [110], and [111] of the initial bcc crystal can be transformed into vairous axes in the fina1 crystal However, fur each of these principal crystallographic axes, a continuous range of orientation within certain regions of the unit triangle is completely avoided by the finctl Crystals. For uses of higher indices, the final orientations are more uniformly distributed throughout the unit triangle. Results from the PI-esent analysis are in good agreement with preferred Oientations Observed in a zone-meltecl iron bar. THE allotropic forms of iron are characterized by the unusual fact that at both high and low temperatures a bcc structure is stable, whereas at intermediate temperatures (1400" to 910°C) the metal is fcc. Hence, during cooling from its melting temperature, iron undergoes successive phase transformations ofd—? —a with corresponding changes in the crystal structure of bcc — fcc -bcc. while numerous studies have been made in the past of the 1 — a transformation in iron and in various iron-base alloys, no information is available in the literature as to the mechanism of 6 — l transformation and the lattice orientation relationship between these two phases. Experimental difficulties have apparently prevented researchers from undertaking these studies. The laltice orientation relationship between the parent and the new phases of iron resulting from