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Based on the density functional theory (DFT), the first-principles methods are used to study and compare the electronic structures and optical properties of Mg-, Sr-doped $CaF_2$ systems with those of $CaF_2$ bulk in detail. In contrast to $CaF_2$ bulk, the band gaps of doped systems become narrower and the new peaks of density states appear. The orbital interactions between $Mg,$ $Sr$ atoms and $Ca$ atom are enhanced near the Fermi level, besides, the doped systems all show single dielectric properties and their absorption coefficients for ultraviolet light are reduced greatly, for $Ca_7SrF_{16}$ system, there is a small absorption peak at 25.44 eV. Compared with $CaF_2$ bulk, doped systems have much lower extinction coefficients and much higher light transmittance in the ultraviolet region. In addition, their reflection and loss peaks all display red shift and the peak value reduce.
}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.072813.091013a}, url = {http://global-sci.org/intro/article_detail/jams/8314.html} }Based on the density functional theory (DFT), the first-principles methods are used to study and compare the electronic structures and optical properties of Mg-, Sr-doped $CaF_2$ systems with those of $CaF_2$ bulk in detail. In contrast to $CaF_2$ bulk, the band gaps of doped systems become narrower and the new peaks of density states appear. The orbital interactions between $Mg,$ $Sr$ atoms and $Ca$ atom are enhanced near the Fermi level, besides, the doped systems all show single dielectric properties and their absorption coefficients for ultraviolet light are reduced greatly, for $Ca_7SrF_{16}$ system, there is a small absorption peak at 25.44 eV. Compared with $CaF_2$ bulk, doped systems have much lower extinction coefficients and much higher light transmittance in the ultraviolet region. In addition, their reflection and loss peaks all display red shift and the peak value reduce.