This study presents a spectroscopic investigation of \(\text {Kr}^{24+}\) ion, generated via a krypton impurity seeding experiment in the Large Helical Device, aimed at supporting Extreme Ultraviolet (EUV) diagnostics of high-temperature fusion plasma. EUV spectral lines corresponding to fine-structure transitions among the \(\text {2p}^{6}\text {3s}^{2}\text {,} \, \text {2p}^{6}\text {3s3p,} \, \text {2p}^{6}\text {3s3d,}\) and \(\text {2p}^{6}\text {3p}^{2}\) configurations were observed in the 12–25 nm wavelength range. To systematically analyze the measured emission lines, extensive relativistic atomic structure calculations were carried out over a broad configuration space, spanning more than 40 configurations, including core-excited and correlation-dominated states up to \(\text {n}\le {7}\) and \(\ell \le {4}\) . Bound-state wave functions were obtained using the relativistic many-body perturbation theory and configuration interaction method, implemented via the Flexible Atomic Code. Parallel calculations based on the relativistic multiconfiguration Dirac-Hartree-Fock method with configuration interaction were performed using the GRASP-2018 code to ensure numerical consistency. This article presents fine-structure-resolved excitation energies and transition parameters, including oscillator strengths and transition probabilities, for the relevant spectroscopic configurations up to \(3\ell\) . Moreover, electron impact excitation and ionization cross-sections from the ground state ( \(\text {2p}^{6}\text {3s}^{2} \, {}^{1}\text {S}_{0}\) ) as well as from selected excited states to higher-lying levels were calculated using the relativistic distorted wave method from the respective thresholds over a wide energy range. The corresponding Maxwellian averaged rate coefficients for excitation, de-excitation, ionization, and three-body recombination were evaluated over fusion-relevant electron temperatures. The results are presented for the prominent spectroscopic transitions up to \(3\ell\) . These complete atomic and electron-collision datasets were incorporated into a suitable collisional-radiative model, accounting for the dominant population and depopulation processes, including electron impact excitation, de-excitation, ionization, radiative decay, and three-body recombination. The theoretically modeled EUV spectrum, calculated at \(\text {n}_\text {e}\text {=5.5}\times \text {10}^\text {19} \, \text {m}^\text {-3}\) and \(\text {T}_\text {e}\text {=578} \, \text {eV}\) , shows good agreement with experimental observations, validating the accuracy of the calculated atomic structure, and electron-collision parameters. The resulting atomic dataset and modeling framework enable detailed spectral analysis of highly charged \(\text {Kr}^{24+}\) ion under magnetically confined fusion plasma conditions.
