New experimental measurement of Ernat(n,γ) cross sections between 1 and 100 eV

$^{162}\mathrm{Er}$ and $^{164}\mathrm{Er}$ are two of the 35 $p$ nuclei, and their ($n,\ensuremath{\gamma}$) cross sections are important input parameters in nuclear astrophysics network calculations. The neutron capture cross section in the resonance region of isotopes and even the natural erbium ($^{\mathrm{nat}}\mathrm{Er}$) sample has not been measured experimentally according to the EXFOR database. The ($n,\ensuremath{\gamma}$) cross section of $^{\mathrm{nat}}\mathrm{Er}$, using ${\mathrm{C}}_{6}{\mathrm{D}}_{6}$ liquid scintillator and pulse height weighting techniques to measure prompt $\ensuremath{\gamma}$ rays, has been measured in the energy range of 1--100 eV using a back streaming white neutron facility at China Spallation Neutron Source. The deduced neutron capture cross sections matches the evaluation databases ENDF/B-VIII.0, ENDF/B-VII.1, JENDL-4.0, and ROSFOND-2010, and resonance parameters extracted from the $R$-matrix code in the 1--100 eV region.