3D reconstruction for Bravais lattice of hexagonal crystal using single EBSD pattern

A computer program for Bravais lattice determination from single electron backscatter diffraction(EBSD) pattern has been developed on the basis of several well-established algorithms.In the present approach,a reciprocal primitive cell is first reconstructed according to the information obtained from the width and azimuth of the Kikuchi bands in the EBSD pattern.The effect of the measurement errors on 3D reconstruction is minimized by using the least-squares of a series of overdetermined equations,which are established according to the width of the bands and the angle between the bands.Following the reduction procedures,the Bravais lattice in reciprocal space is determined and further transformed into that in real space.The indices of all Kikuchi bands and zone axes can be indexed and displayed by the program.