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Solar-type prestellar cores and protostars display large amounts ofdeuterated organic molecules. Recent findings on CHD$_2$OH and CD$_3$OH towardIRAS 16293-2422 suggest that even fully deuterated methanol, CD$_3$OD, may bedetectable as well. However, searches for CD$_3$OD are hampered in particularby the lack of intensity information from a spectroscopic model. The objectiveof the present investigation is to develop a spectroscopic model of CD$_3$OD inlow-lying torsional states that is sufficiently accurate to facilitate searchesfor this isotopolog in space. We carried out a new measurement campaign forCD$_3$OD involving two spectroscopic laboratories that covers the 34 GHz-1.1THz range. A torsion-rotation Hamiltonian model based on the rho-axis methodwas employed for our analysis. Our resulting model describes the ground andfirst excited torsional states of CD$_3$OD well up to quantum numbers $J \leq51$ and $K_a \leq 23$. We derived a line list for radio-astronomicalobservations from this model that is accurate up to at least 1.1 THz and shouldbe sufficient for all types of radio-astronomical searches for this methanolisotopolog. This line list was used to search for CD$_3$OD in data from theProtostellar Interferometric Line Survey of IRAS 16293$-$2422 obtained with theAtacama Large Millimeter/submillimeter Array. While we found several emissionfeatures that can be attributed largely to CD$_3$OD, their number is still notsufficiently high enough to establish a clear detection. Nevertheless, theestimate of 2$\times 10^{15}$ cm$^{-2}$ derived for the CD$_3$OD column densitymay be viewed as an upper limit that can be compared to column densities ofCD$_3$OH, CH$_3$OD, and CH$_3$OH. The comparison indicates that the CD$_3$ODcolumn density toward IRAS 16293-2422 is in line with the enhanced D/H ratiosobserved for multiply deuterated complex organic molecules.

Investigation of the rotational spectrum of CD$_3$OD and an astronomical search toward IRAS 16293$-$2422