Fixed exit DC-monochromator of general position for side (or top) beam line

We develop an idea of a fixed exit double-crystal monochromator of general position (or skew DC-mono), in which the lines of entering and exit beams (both being fixed) do not lie in one plane, i.e., are in general position. ases of identical and not identical crystals are considered, and exact solutions are obtained describing valid positions and orientations of both crystals. Special attention is paid to the case of small lattice mismatch between the first and the second crystal (e.g., due to temperature difference) and small angle of “skewness” (that is to say, an angle between skew lines of entrance and exit beams is much less than unity). o derive some useful formulations describing beam profile change after two reflections (whose reflection planes are nonparallel).