Escola de Ciências e Tecnologia, Universidade Federal do Rio Grande do Norte, 59072-970 Natal, Rio Grande do Norte, Brazil.
J Phys Condens Matter. 2010 Nov 3;22(43):435801. doi: 10.1088/0953-8984/22/43/435801. Epub 2010 Oct 11.
CdSnO(3) ilmenite and perovskite crystals were investigated using both the local density and generalized gradient approximations, LDA and GGA, respectively, of the density functional theory (DFT). The electronic band structures, densities of states, dielectric functions, optical absorption and reflectivity spectra related to electronic transitions were obtained, as well as the infrared absorption spectra after computing the vibrational modes of the crystals at q = 0. Dielectric optical permittivities and polarizabilities at ω = 0 and ∞ were also calculated. The results show that GGA-optimized geometries are more accurate than LDA ones, and the Kohn-Sham band structures obtained for the CdSnO(3) polymorphs confirm that ilmenite has an indirect band gap, while perovskite has a direct band gap, both being semiconductors. Effective masses for both crystals are obtained for the first time, being highly isotropic for electrons and anisotropic for holes. The optical properties reveal a very small degree of anisotropy of both crystals with respect to different polarization planes of incident light. The phonon calculation at q = 0 for perovskite CdSnO(3) does not show any imaginary frequencies, in contrast to a previous report suggesting the existence of a more stable crystal of perovskite CdSnO(3) with ferroelectric properties.
采用密度泛函理论(DFT)中的局域密度近似(LDA)和广义梯度近似(GGA),分别对 CdSnO(3)钙钛矿和钛铁矿晶体进行了研究。得到了晶体的电子能带结构、态密度、介电函数、与电子跃迁相关的光吸收和反射谱,以及在计算晶体在 q = 0 处的振动模式后得到的红外吸收谱。还计算了ω = 0 和 ∞ 时的介电光折射率和极化率。结果表明,GGA 优化的几何形状比 LDA 更准确,CdSnO(3)多晶型的 Kohn-Sham 能带结构证实钛铁矿具有间接带隙,而钙钛矿具有直接带隙,均为半导体。首次获得了两种晶体的有效质量,对于电子是高度各向同性的,而对于空穴是各向异性的。光学性质表明,两种晶体对于不同的入射光偏振面具有很小的各向异性程度。对于钙钛矿 CdSnO(3),在 q = 0 处的声子计算没有显示任何虚频,这与之前的报告形成对比,该报告表明存在具有铁电性质的更稳定的钙钛矿 CdSnO(3)晶体。