We carried out high-resolution (0.02 $\mathrm{c}{\mathrm{m}}^{-1}$) measurements of the photoluminescence (PL) spectra of $\mathrm{CaW}{\mathrm{O}}_4$:${\mathrm{Ho}}^{3+}$, including in a magnetic field, and performed the spectral modeling. Well-resolved hyperfine structure was observed in the luminescence spectra of $\mathrm{CaW}{\mathrm{O}}_4$:${\mathrm{Ho}}^{3+}$ for the first time. Energies of several crystal-field levels were specified, and $g$ factors were determined. We show that the PL spectra are much more sensitive to lattice strains in $\mathrm{CaW}{\mathrm{O}}_4$:${\mathrm{Ho}}^{3+}$ than the absorption spectra. Zeeman spectroscopy offers an additional sensitive tool for detecting random lattice deformations. The spectra were simulated using refined crystal-field parameters and taking into account both hyperfine and deformation interactions. Here, we used the previously obtained distribution function of random strains induced by point lattice defects in an elastically anisotropic $\mathrm{CaW}{\mathrm{O}}_4$ crystal. Luminescence cryothermometry and magnetometry based on $\mathrm{CaW}{\mathrm{O}}_4$:${\mathrm{Ho}}^{3+}$ are discussed.

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• Crystal-field excitations
• Electronic structure
• Electronic transitions
• Fine & hyperfine structure
• Luminescence
• Optical materials & elements
• Zeeman effect
• Rare-earth doped crystals
• Single crystal materials
• Crystal growth
• Crystal-field theory
• Fluorescence spectroscopy
• Fourier transform infrared spectroscopy
• Liquid helium cooling
• Photoluminescence