The possibility of finding, for a given X-ray wavelength, the conditions fo
r obtaining multiple coplanar reflections in a single block of crystal is i
nvestigated. It is found that by introducing a small relative tilt between
two parts of the crystal, the conditions for a high-resolution X-ray monoch
romator for conventional and synchrotron X-ray sources can be obtained. The
design of a new high-resolution monochromator-collimator based on a single
crystal, which takes advantage of the existence for almost any wavelength
of n and m planes in the single crystal that lie near the Bragg condition,
is presented. A weak link between the two reflecting surfaces is used to al
ign the crystal planes and to obtain efficient reflections in the dispersiv
e configuration. DuMond diagrams are used to evaluate the total diffracted
intensity and the resolution of such a monochromator. The experimental resu
lts obtained from prototypes made of single crystals of silicon and germani
um are in good agreement with theoretical predictions. This new type of mon
ochromator offers the advantages of a compact design and simple alignment.