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{ital J}=1 to {ital J}=0 molecular rotational time constants for {ital J}=1 D{sub 2} in solid D-T at 1.8 to 14 K have been obtained by analyzing the longitudinal relaxation times {ital T}{sub 1} of the tritons in the same sample. The inherent time constant in the electric quadrupole theory of {ital T}{sub 1} is a function of both the {ital J}=1 T{sub 2} and {ital J}=1 D{sub 2} concentrations. By subtracting out the {ital J}=1 T{sub 2} behavior as obtained from pure T{sub 2} samples, the {ital J}=1 to {ital J}=0 D{sub 2} time constants remain. From 10 to 14 K, the D{sub 2} time constants are longer than those for T{sub 2} at constant temperature by the ratio of the nuclear magnetic moments. From 1.8 to 5.3 K, the two time constants are identical at about 5 h. A time-constant minimum occurs at about 10 K for both hydrogens. A rate-equation theory of rotational catalysis by free hydrogen atoms created by the tritium radioactivity is presented.