Part VIII – August 1969 – Communications - On the Plotting of Electron Diffraction Patterns from Single Crystals Containing Oriented Second Phases

DURING an electron microscope study of the w phase in zirconium-base alloys,1 a stereographic technique was devised which allows the synthesis of high energy electron diffraction patterns from a single crystal containing several variants of a second phase. The technique will be described using as an example the w phase which forms in a bcc matrix. The w phase was suggested by Silcock et al.2 and Bagaryatskii et al.3 to have a hexagonal structure with (0001)111(111)^, [001]B//[110]B* *The subscripts B and 1 are used to refer to the bcc phase and one particular orientation of the w phase, respectively. and with cell parameters aw = v2aB, where a^ is the lattice parameter of the bcc struc-ture. Since there are four <lll>B directions there should be four orientations of the w phase. In approaching this problem the question to be answered is, "What reciprocal lattice vectors from the B phase and the four w variants lie in the particular reciprocal lattice plane of interest?" One may restate the question in the form, "What plane normals from the B phase and the four w variants lie in the particular reciprocal lattice plane of interest?" The question is answered and the desired diffraction patterns are plotted using the following stereographic technique. Knowing the cw/aw ratio (=0.613 for the as-quenched form of the w phase), a stereographic projection of plane normals from one w variant can be constructed relative to a cubic projection using the above orientation relations, with the direction of the projection along the [001]B direction, Fig. 1. Let us now synthesize the diffraction pattern observed by looking along