Twin Calculator

With Twin Calculator, determine the relative orientation of crystals whose orientation matrices have been determined at the same time by single-crystal diffraction. This will work not only for twins but also for any pair of crystals that are in the same sample and have been measured on the same mount. So, use it for twins, inclusions, and any co-existing single crystals.

First enter the UB matrix for the first crystal on the left and push the Read UB button. Do the same for the UB of the second crystal on the right hand side. (You can use any definition of UB matrix, provided the definition is the same for both crystals).

To calculate which planes of one crystal are parallel to the other, just enter an hkl in one of the boxes hkl1 or hkl2. Pushing the button Index hkl1 as Crystal2 will then calculate the indices of the plane in crystal 2 that is parallel to the plane indexed as hkl1 in crystal1, and display the result in the box hkl2. The transformation matrix from crystal 1 to crystal 2 is also displayed.