The polarized absorption spectra, polarized fluorescence spectra and fluorescence decay curve of Nd~(3+): LiLuF_4 crystals are measured at room temperature. The peak absorption cross-sections are 6.944 times; 10~(-20) cm~2 and 1.664 times; 10~(-20) cm ~2 at around 795 nm with full-width at half-maximum of 3.4 nm and 3.2 nm for π-polarization and σ-polarization, respectively. Based on Judd-Ofelt theory, the spectral parameters of Nd~(3+) in LiLuF _4 crystals are investigated. The emission probabilities, branching ratio and radiative lifetime for the transitions from ~4F _(3/2) are calculated. The radiative lifetime, fluorescence lifetime and quantum efficiency are 536 μs, 489 μs and 91%, respectively. Its spectroscopic parameters are also compared with those of some other important Nd~(3+)-doped laser crystals.
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