Muon capture in deuterium, mu(-) + D --> nu(mu) + n + n, is a weak process
of fundamental importance. The capture rate depends critically on the spin
configuration of the initial (mu D) state, which is in turn related closely
to the availability of having two nearby deuteron nuclei. In this paper, w
e calculate the capture rates from the doublet (J = 1/2) and quartet (J = 3
/2) mu(-) D hyperfine states. In addition to using the gaseous or liquid de
uterium target, we wish also to propose to employ the deuterated target suc
h as PdD or TiD to carry out the muon capture measurement, since it is know
n that the transition metals such as palladium (Pd) or titanium (Ti) has un
usually high deuteron (hydrogen) absorption properties.