In this paper the authors investigate hypersurfaces M of a semi-Euclidean space E9n+1, n > 4, satisfying (aC + BR) .H = LkQ(g, Hk), k = 1,2, 3. Using obtained results they show additional curvature properties of in...In this paper the authors investigate hypersurfaces M of a semi-Euclidean space E9n+1, n > 4, satisfying (aC + BR) .H = LkQ(g, Hk), k = 1,2, 3. Using obtained results they show additional curvature properties of investigated hypersurfaces.展开更多
A number of publications containing structural data, characteristics of nonlinear optical properties of pure and doped crystals of potassium titanyl phosphate (KTP) family have been reviewed to analyze the structural ...A number of publications containing structural data, characteristics of nonlinear optical properties of pure and doped crystals of potassium titanyl phosphate (KTP) family have been reviewed to analyze the structural and symmetry conditionality of nonlinear optical properties of these crystals. The pseudosymmetric features of KTP-type crystals with respect to inversion are investigated. Specifically, pseudoinversion distribution maps are calculated;pseudoinversion extrema and coordinates of pseudoinversion centres are found;and the distributions of pure and doped KTP-type structures and their individual atomic sublattices over the degree of pseudoinversion are analyzed. A correlation between the characteristics of nonlinear optical properties of a number of crystals belonging to the KTP family and the degree of pseudoinversion of their atomic structures is demonstrated.展开更多
基金a grant of the Uludag University in Bursa(Turkey)and the grant 234 GW 2000 of the Agricultural University of Wroclaw(Poland)for the second named author
文摘In this paper the authors investigate hypersurfaces M of a semi-Euclidean space E9n+1, n > 4, satisfying (aC + BR) .H = LkQ(g, Hk), k = 1,2, 3. Using obtained results they show additional curvature properties of investigated hypersurfaces.
文摘A number of publications containing structural data, characteristics of nonlinear optical properties of pure and doped crystals of potassium titanyl phosphate (KTP) family have been reviewed to analyze the structural and symmetry conditionality of nonlinear optical properties of these crystals. The pseudosymmetric features of KTP-type crystals with respect to inversion are investigated. Specifically, pseudoinversion distribution maps are calculated;pseudoinversion extrema and coordinates of pseudoinversion centres are found;and the distributions of pure and doped KTP-type structures and their individual atomic sublattices over the degree of pseudoinversion are analyzed. A correlation between the characteristics of nonlinear optical properties of a number of crystals belonging to the KTP family and the degree of pseudoinversion of their atomic structures is demonstrated.
