ATOMS: ALMA Three-millimeter Observations of Massive Star-forming regions -XIV. Properties of resolved UC Hii regions

Hydrogen recombination lines (RRLs) are one of the major diagnostics of the physical properties of H{\sc ii} regions. We use RRL H40$\alpha$, He40$\alpha$ and 3 mm continuum emission to investigate the properties of a large sample of resolved UC H{\sc ii} regions identified in the ATOMS survey. In total, we identify 94 UC H{\sc ii} regions from H40$\alpha$ emission. The basic parameters for these UC H{\sc ii} regions such as electron density, emission measure, electron temperature, ionic abundance ratio (n${}_{\mathrm{H}{\mathrm{e}}^{+}}$/n${}_{{\mathrm{H}}^{+}}$), and line width are derived. The median electron density and the median n${}_{\mathrm{H}{\mathrm{e}}^{+}}$/n${}_{{\mathrm{H}}^{+}}$ ratio of these UC H{\sc ii} regions derived from RRLs are $\sim$9000 cm${}^{-3}$ and 0.11, respectively. Within UC H{\sc ii} regions, the n${}_{\mathrm{H}{\mathrm{e}}^{+}}$/n${}_{{\mathrm{H}}^{+}}$ ratios derived from the intensity ratio of the He40$\alpha$ and H40$\alpha$ lines seems to be higher in the boundary region than in the center. The H40$\alpha$ line width is mainly broadened by thermal motion and microturbulence. The electron temperature of these UC H{\sc ii} regions has a median value of $\sim$6700 K, and its dependence on galactocentric distance is weak.