DCO${}^{+}$ and DCN 1-0 survey toward a sample of Planck cold clumps

Deuterated molecules can be used to study the physical conditions and the astro-chemical evolution of molecular clouds. large-sample surveys for deuterated molecules are needed to understand the enhancement of deuterated molecules from diffuse molecular gas to cold cores. A single-pointing survey toward the 559 Planck cold clumps of the Early Cold Core Catalogue (ECC) has been conducted using the Arizona Radio Observatory 12-meter telescope, focusing on the $J$=1-0 transitions of DCO${}^{+}$ and DCN. The survey included observations of 309 cores for DCO${}^{+}$ and DCN 1-0 simultaneously, followed by 71 of these cores where DCO${}^{+}$ 1-0 was detected for H${}^{13}$CO${}^{+}$ and H${}^{13}$CN 1-0 simultaneously, aiming to determine the deuterated fraction ($D_{\mathrm{f}\mathrm{r}\mathrm{a}\mathrm{c}}$). Additionally, 250 cores were observed for DCO${}^{+}$, DCN, H${}^{13}$CO${}^{+}$ and H${}^{13}$CN 1-0 simultaneously. Among the 309 sources, DCO${}^{+}$ and DCN 1-0 were detected in 79 and 11 sources, with a detection rates of 25.6 % and 3.6 % respectively. In the 250 sources observed for all four species, DCO${}^{+}$, DCN, H${}^{13}$CO${}^{+}$ and H${}^{13}$CN 1-0 were detected in 58, 9, 57 and 13 sources, with a detection rate of 23.2 %, 3.6 %, 22.8 % and 5.2 % respectively. The $D_{\mathrm{f}\mathrm{r}\mathrm{a}\mathrm{c}}$(HCO${}^{+}$) values in 112 sources range from 0.89 % to 7.4 % with a median value of 3.1 %, while $D_{\mathrm{f}\mathrm{r}\mathrm{a}\mathrm{c}}$(HCN) values in 11 sources range from 1.5 % to 5.5 % with a median value of 2.3 %. The line widths of DCO${}^{+}$ and H${}^{13}$CO${}^{+}$ 1-0 detections are mostly within 1 km s${}^{-1}$. The similarity in $D_{\mathrm{f}\mathrm{r}\mathrm{a}\mathrm{c}}$ values between HCO${}^{+}$ and HCN indicates that the higher detection rate of DCO${}^{+}$ 1-0 compared with DCN 1-0 is due to the lower critical density of DCO${}^{+}$ 1-0. We suggest that the enhancement of DCO${}^{+}$ and DCN likely begins in the early diffuse stage of the molecular cloud, rather than during the cold core formation stage.