There have been several reported values for the nuclear quadrupole moment of ${}^{43}\mathrm{Ca}$, but significant discrepancies exist among these reported values, ranging from $-0.0408\left(8\right)$ b to $-0.065\left(20\right)$ b. In this work we perform an accurate calculation of the electric-field gradients of the $4s4p{}^3{P}_1, 4s4p{}^3{P}_2$, and $4s3d{}^1{D}_2$ states in the ${}^{43}\mathrm{Ca}$ atom using a hybrid method. This hybrid method integrates the advantages of the configuration-interaction method and the coupled-cluster method and can simultaneously account for core-core, core-valence, and valence-valence correlations. By combining our calculated results with the experimental values of the electric quadrupole hyperfine-structure constants of these three states, an accurate and reliable nuclear quadrupole moment of ${}^{43}\mathrm{Ca}$ is determined to be $-0.0479\left(6\right)$ b, which could be recommended as a reference for ${}^{43}\mathrm{Ca}$.

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• Atomic spectra
• Fine & hyperfine structure