Muon catalyzed fusion in deuterium traditionally has been studied in g
aseous and liquid targets. The TRIUMF solid-hydrogen-layer target syst
em has been used to study the fusion reaction rates in the solid phase
of D-2 at a target temperature of 3 K. Products of two distinct branc
hes of the reaction were observed: neutrons by a liquid organic scinti
llator and protons by a silicon detector located inside the target sys
tem. The effective molecular formation rate from the upper hyperfine s
tate of mu d and the hyperfine transition rate have been measured: <(l
ambda)over tilde> 3/2 = 2.71(7)(stat)(32)(syst)mu s(-1) and <(lambda)o
ver tilde> 31/22 = 34.2(8)(stat)(1)(syst)mu s(-1). The molecular forma
tion rate is consistent with other recent measurements, but not with t
he theory for isolated molecules. The discrepancy may be due to incomp
lete thermalization, an effect that was investigated by Monte Carlo ca
lculations. Information on branching ratio parameters for the s and p
wave d+d nuclear interaction has been extracted.