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Angle calculations are derived for the operation of a `4S+2D' six-circle X-ray or neutron diffractometer. The six degrees of freedom [four sample-orienting (`4S') and two detector-orienting (`2D')] of the diffractometer are used to control the scattering vector and a reference vector in the laboratory frame of reference. Several modes of operation unavailable in other types of diffractometer are presented.
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