The inter-relation between zero-field splitting （ZFS） parameters and local lattice structures of the （CrSe4）6 clusters in ZnSe semiconductors has been established by using the complete diagonalization （of the ene...The inter-relation between zero-field splitting （ZFS） parameters and local lattice structures of the （CrSe4）6 clusters in ZnSe semiconductors has been established by using the complete diagonalization （of the energy matrix） method. On the basis of this, the local lattice distortions, the ZFS parameters D, a, F and the optical spectrum for Cr2＋ ions doped into ZnSe are theoretically investigated, and the contributions of the spin singlets have been taken into account. The calculated ZFS parameters are in good agreement with the experimental values. From our calculations, the tetragonal distortion parameters AR = 0.091A and Aθ = 4.28° of Cr2＋ in ZnSe are acquired, and the results suggest that there exists a tetragonal expansion distortion for the local lattice structure of （CrSe4）6- clusters in ZnSe crystals. The influence of the spin singlets on ZFS parameters is also discussed, indicating that the contributions to ZFS parameters a and F cannot be ignored.展开更多
The recent discovery of the novel boron-framework in boron-rich metal borides with complex structures and intriguing features under high pressure has stimulated the search into the unique boron-network in the metal mo...The recent discovery of the novel boron-framework in boron-rich metal borides with complex structures and intriguing features under high pressure has stimulated the search into the unique boron-network in the metal monoborides or boron-deficient metal borides at high pressure.Herein,based on the particle swarm optimization algorithm combined with first-principles calculations,we thoroughly explored the structural evolution and properties of TiB up to 200 GPa.This material undergoes a pressure-induced phase transition of Pnma→Cmcm→Pmmm.Besides of two known phases Pnma and Cmcm,an unexpected orthorhombic Pmmm structure was predicted to be energetically favored in the pressure range of 110.88–200 GPa.Intriguingly,the B covalent network eventually evolved from a one-dimensional zigzag chain in Pnma-TiB and Cmcm-TiB to a graphene-like B-sheet in Pmmm-TiB.On the basis of the microscopic hardness model,the calculated hardness(H_(v))values of Pnma at 1 atm,Cmcm at 100 GPa,and Pmmm at 140 GPa are 36.81 GPa,25.17 GPa,and15.36 GPa,respectively.Remarkably,analyses of the density of states,electron localization function and the crystal orbital Hamilton population(COHP)exhibit that the bonding nature in the three TiB structures can be considered as a combination of the B–B and Ti–B covalent interactions.Moreover,the high hardness and excellent mechanical properties of the three Ti B polymorphs can be ascribed to the strong B–B and Ti–B covalent bonds.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.11274235 and 11104190)the Doctoral Education Fund of Education Ministry of China(Grant No.20110181120112)
文摘The inter-relation between zero-field splitting （ZFS） parameters and local lattice structures of the （CrSe4）6 clusters in ZnSe semiconductors has been established by using the complete diagonalization （of the energy matrix） method. On the basis of this, the local lattice distortions, the ZFS parameters D, a, F and the optical spectrum for Cr2＋ ions doped into ZnSe are theoretically investigated, and the contributions of the spin singlets have been taken into account. The calculated ZFS parameters are in good agreement with the experimental values. From our calculations, the tetragonal distortion parameters AR = 0.091A and Aθ = 4.28° of Cr2＋ in ZnSe are acquired, and the results suggest that there exists a tetragonal expansion distortion for the local lattice structure of （CrSe4）6- clusters in ZnSe crystals. The influence of the spin singlets on ZFS parameters is also discussed, indicating that the contributions to ZFS parameters a and F cannot be ignored.
基金supported by the National Natural Science Foundation of China(Grant No.11804031)the Scientific Research Project of Education Department of Hubei Province,China(Grant No.Q20191301)+1 种基金Youth Science Foundation of Jiangxi Province,China(Grant No.20171BAB211009)Henan Province Key Research and Development and Promotion of Special Scientific and Technological Research Project(Grant No.222102320283)。
文摘The recent discovery of the novel boron-framework in boron-rich metal borides with complex structures and intriguing features under high pressure has stimulated the search into the unique boron-network in the metal monoborides or boron-deficient metal borides at high pressure.Herein,based on the particle swarm optimization algorithm combined with first-principles calculations,we thoroughly explored the structural evolution and properties of TiB up to 200 GPa.This material undergoes a pressure-induced phase transition of Pnma→Cmcm→Pmmm.Besides of two known phases Pnma and Cmcm,an unexpected orthorhombic Pmmm structure was predicted to be energetically favored in the pressure range of 110.88–200 GPa.Intriguingly,the B covalent network eventually evolved from a one-dimensional zigzag chain in Pnma-TiB and Cmcm-TiB to a graphene-like B-sheet in Pmmm-TiB.On the basis of the microscopic hardness model,the calculated hardness(H_(v))values of Pnma at 1 atm,Cmcm at 100 GPa,and Pmmm at 140 GPa are 36.81 GPa,25.17 GPa,and15.36 GPa,respectively.Remarkably,analyses of the density of states,electron localization function and the crystal orbital Hamilton population(COHP)exhibit that the bonding nature in the three TiB structures can be considered as a combination of the B–B and Ti–B covalent interactions.Moreover,the high hardness and excellent mechanical properties of the three Ti B polymorphs can be ascribed to the strong B–B and Ti–B covalent bonds.
