Cs2 NaMF6(M=Al,Ga):Cr3+络合分子体系局域结构和基态分裂的理论研究

采用双自旋轨道耦合系数模型并结合完全能量矩阵的方法对Cs₂NaMF₆(M=Al, Ga):Cr³⁺ 体系中Cr³⁺ 离子的基态分裂和局域结构进行了研究.通过模拟光谱和EPR谱确定了Cr³⁺ 取代 M³⁺ 形成的两种占位结构的畸变角,发现用双自旋轨道耦合系数模型与单自旋轨道耦合系数模型计算出的畸变角Δθ存在较大的差异.这表     

掺入Ni2+和V3+对α-Al2O3晶体光谱精细结构、晶体局域结构和零场分裂参量的影响

应用晶体场理论和不可约张量算符方法构造了3d2/3d8态离子在C3v对称晶场中包含自旋-轨道相互作用、自旋-自旋相互作用、自旋-其它轨道相互作用和其它轨道-其它轨道相互作用四种微观磁效应的45阶可完全对角化的能量哈密顿矩阵.利用该矩阵,计算了V³⁺∶α-Al₂O₃和Ni²⁺∶α-Al₂O₃晶体的光谱精细结构、晶体局域结构和零场分裂参量,研究了掺入两种互补态离子Ni²⁺和V³⁺对同种晶体的光谱精细结构、晶体局域结构和零场分裂参量的影响,理论计算值和实验值相符.研究发现：掺杂没有改变晶体的光谱精细结构和能级分裂条数,但改变了能级间距|掺杂也没有改变晶体的对称性,但使晶体局域结构发生了一定程度的畸变| Ni²⁺∶α-Al₂O₃晶体局域结构的伸长畸变量大于V³⁺∶α-Al₂O₃晶体,键角的变化量小于V³⁺∶α-Al₂O₃晶体.     

Al2O3:V3+晶体局域结构及其自旋哈密顿参量研究

提出了解释掺杂离子局域结构畸变的配体平面移动模型，建立了此模型下晶体微观结构与自旋哈密顿参量之间的定量关系.在考虑自旋与自旋、自旋与另一电子轨道和轨道与轨道作用等微小磁相互作用的基础上，采用全组态完全对角化方法，对Al₂O₃晶体中V³⁺的局域结构和自旋哈密顿参量进行了系统的研究.结果表明，V³⁺掺入Al₂O₃晶体后，上下配体氧平面间距离增大了0.0060 nm.从而成功地解释了Al₂O₃:V³⁺晶体的自旋哈密顿参量.在此基础上，研究了三角晶场下3d²离子自旋哈密顿参量的微观起源.研究发现，自旋三重态对自旋哈密顿参量的贡献是主要的，微小磁相互作用对自旋哈密顿参量的贡献只与自旋三重态有关.     

LiNbO3∶Fe3+晶体的光谱精细结构、零场分裂参量及Jahn-Teller效应

应用不可约张量方法和群的理论构造了三角对称晶场中3d⁵组态离子的252阶可完全对角化的微扰哈密顿矩阵，利用该矩阵计算了LiNbO₃∶Fe³⁺晶体的光谱精细结构、零场分裂、晶体结构、Jahn-Teller(J-T)效应，其理论计算值与实验值相符合，并研究了自旋四重态、自旋二重态分别对基态能级的影响，证明了自旋四重态对基态能级的贡献是主要的，自旋二重态对基态能级的贡献虽很小，但却是不可忽略的.在此基础上,进一步研究了自旋-轨道耦合作用、自旋-自旋耦合作用对LiNbO₃∶Fe³⁺晶体的光谱精细结构和零场分裂参量的影响，发现自旋-轨道耦合作用是最主要的，自旋-自旋耦合作用也是不可忽略的. 研究表明，该种物质的四重态光谱结构中含有J-T效应. 其产生原因是自旋-轨道耦合及三角畸变的共同作用的结果，两者缺一不可.     

双层反铁磁体K3Cu2F7 中轨道序驱动的自旋二聚化

基于自旋-轨道-晶格Hamilton量,应用团簇自洽场方法,研究了双层钙钛矿结构材料K₃Cu₂F₇基态的晶格、磁及轨道结构,发现近孤立的双层的对称破缺和Jahn-Teller晶格畸变使得Cu²⁺离子在每层内交替占据 z²-x²〉/ z²-y²〉轨道,进而导致双层的层间表现为强的反铁磁耦合,层内为弱的铁磁耦合.强反铁磁耦合导致层间     

EPR Study of Fe3+- and Ni2+-Doped Macroporous CaSiO3 Ceramics

Thermally stable macroporous CaSiO₃, Fe³⁺- and Ni²⁺-doped (0.5 to 5 mol%) ceramics have been prepared by solution combustion process by mixing respective metal nitrates (oxidizers), fumed silica. Diformol hydrazine is used as a fuel. The combustion products were identified by their X-ray diffraction and thermal gravimetry/differential thermal analysis. Single phases of β-CaSiO₃ and α-CaSiO₃ were observed at 950 and 1200 °C, respectively. The phase transition temperatures of combustion-derived CaSiO₃ were found to be lower compared to those obtained via solid-state reaction method. It is interesting to note that with an increase in the calcination temperature the samples become more porous with an increase in the pore diameter from 0.2 to 8 μm. The electron paramagnetic resonance (EPR) spectrum of Fe³⁺ ions in CaSiO₃ exhibits a weak signal at g = 4.20 ± 0.1 followed by an intense signal at g = 2.0 ± 0.1. The signal at g = 4.20 is ascribed to isolated Fe³⁺ ions at rhombic site. The signal at g = 2.0 is due to Fe³⁺ coupled together with dipolar interaction. In Ni²⁺-doped CaSiO₃ ceramics the EPR spectrum exhibits a symmetric absorption at g = 2.23 ± 0.1. This deviation from the free electron g-value is ascribed to octahedrally coordinated Ni²⁺ ions with moderately high spin–orbit coupling. The number of spins participating in resonance and the paramagnetic susceptibilities have been evaluated from EPR data as a function of Fe³⁺ as well as Ni²⁺ content. The effect of alkali ions (Li, Na and K) on the EPR spectra of these ceramics has also been studied. Authors' address: R. P. Sreekanth Chakradhar, Glass Technology Laboratory, Central Glass and Ceramic Research Institute, Kolkata 700032, India     

94Mo高自旋态能级纲图

通过重离子融合蒸发反应¹⁶O(⁸²Se+4n)⁹⁴Mo布局了⁹⁴Mo核的高自旋态.利用多探头探测器阵列GASP进行了在束γ测量,从而重新研究了⁹⁴Mo核的高自旋态能级结构.基于新发现的一些重要的连接跃迁,对⁹⁴Mo核的高自旋态能级纲图做了重要修改.将新的能级结构与壳模型计算进行了比较和讨论.结果表明要正确的描述94?Mo核的高自旋态(自旋值大于14)能级结构,应考虑价中子在d_5/2,g_7/2和h_11/2轨道上的激发.     

针状纳米MnxNi0.5-xZn0.5Fe2O4的共沉淀法制备及表征

通过在碱液中共沉淀Mn²⁺、Ni²⁺和Fe²⁺后制备了棒状的前躯体,前躯体于不同温度煅烧后制得了Mn_xNi_0:5-xZn_0:5Fe₂O₄棒状体. 利用X射线衍射仪和透射电镜对棒状体的物相、形貌及粒径进行了表征,并利用振动样品磁强计对磁性能进行研究. 结果表明长径比大于15的棒状,随着x值的增加,Mn_xNi_0:5-xZn_0:5Fe₂O₄样品的直径增加,长度下降,长径比变小,当x=0.5时其直径在50 nm左右而长径比减小到7～8. 随着x值的增加,样品的矫顽力先增加后减少,x值达到0.4时样品的矫顽力再次增加,当煅烧温度为600 oC,x=0.5时样品的矫顽力最大为134.3 Oe. 饱和磁化强度随着x值的增加先增加后减少,当煅烧温度为800 oC和x=0.2时达到最大为68.5 Oe.     

O3+与H2碰撞中非解离电荷转移过程的全量子计算

应用全量子的分子轨道强耦合方法，研究了基态的O³⁺(2s²2p ²P)与氢分子碰撞的非解离电荷转移过程，计算了不同方位角(25°，45°，89°)，能量分别为100，500，1000和5000eV/u时的单电子俘获的振动分辨的态选择截面及相应的微分截面.分子轨道强耦合计算中采用了自旋耦合价带理论计算的三原子分子势能面和径向耦合矩阵元.对氢分子的自身转动，采用无限阶的冲量近似方法；对体系的电子运动同H₂或H^+<     

FeSiF66H2O晶体的基态能级和零场分裂参量

由单晶的中子衍射方法得到FeS_iF₆6H₂O的晶体结构,这种晶体结构可以用S_iF^6-和Fe(H₂O)⁺⁺两个离子来描述,而局域三角对称的Fe(H₂O)⁺⁺离子反映了这种晶体的主要光谱性质利用不可约张量的理论,构成了晶体场和自旋轨道相互作用哈密顿完全对角化矩阵因此,由完全对角化的晶体场和自旋轨道相互作用哈密顿矩阵和电子顺磁共振的理论公式来求出晶体FeS_iF₆6H₂O中Fe²⁺离子的电子顺磁共振零场分裂参量D和Fa并研究了低自旋³L态对电子顺磁共振(EPR)零场分裂参量的贡献结果显示低自旋³L态对电子顺磁共振的零场分裂参量的贡献是较强的理论计算的结果与实验值是相符的.     

Theoretical study of anisotropy spin-orbit coupling and local lattice structure for Fe<Superscript>3+</Superscript> ions in MgTiO<Subscript>3</Subscript>:Fe<Superscript>3+</Superscript> system

The anisotropy spin-orbit coupling matrices for a d⁵ configuration ion in a trigonal ligand-field have been established. On basis of the anisotropy spin-orbit coupling matrices, the ground state zero-field splitting of the Fe³⁺ ions in ilmenite-structure MgTiO₃:Fe³⁺ system has been studied. The calculated results show that the anisotropy of Fe³⁺ ions in the diamagnetic ilmenite MgTiO₃ is important and the EPR parameters depend sensitively on the anisotropy divergent parameter. Moreover, the effect of the anisotropy divergent parameter on the second-order parameter D is obviously larger than that on the fourth-order parameter (a-F). Based on this point, the local lattice structure of Fe³⁺ ion in MgTiO₃:Fe³⁺ system is determined by diagonalizing the complete energy matrices for a d⁵ configuration ion in a trigonal ligand-field and considering the second-order as well as the fourth-order EPR parameters D and (a-F) simultaneously. Our results are consistent with the experimental proposal that Fe³⁺ ions may locate at both the Mg²⁺ and Ti⁴⁺ sites.     

低对称性晶场中3d5离子零场劈裂常数的计算

作为文献[4]的自然推广,本文讨论了低对称性(C_4v或D_4h,C_3v或D_3h)晶场中3d⁵离子零场劈裂常数D值的计算。给出D值依赖于Racah参数、晶场参数和自旋-轨道耦合常数ξ的表示式。用于α-Al₂O₃晶体中Fe³⁺,离子D值的计算,结果与实验值能够较好地符合。 关键词：     

Theoretical investigations of the local distortion and electron paramagnetic resonance parameter for CdCl2：V^2＋ and CsMgX3：V^2＋（X=Cl,Br） systems

This paper systematically investigates the local distortion and electron paramagnetic resonance (EPR) parameter for CdCl 2 :V 2+ and CsMgX 3 :V 2+ (X=Cl, Br) systems on the basis of the complete energy matrix, in which not only the contributions due to the spin–orbit coupling of the central ions but also that of the ligands are considered. To describe the difference of overlapping between d-orbits and p orbit, two spin–orbit coupling coefficients are introduced. By simulating the crystal field parameter and EPR parameter, the local distortion parameters are studied and the relationships between the EPR parameter and the spin–orbit coupling coefficients as well as divergent parameter are discussed. These results show that the local structures exhibit compression distortion for CdCl 2 :V 2+ and elongation distortions for CsMgX 3 :V 2+ (X=Cl, Br), respectively. It notes that the empirical formula R ≈ R H + (r i-r h )/2 is not suitable for CdCl 2 :V 2+ and CsMgX 3 :V 2+ (X=Cl, Br) systems. The contributions of ligand to spin–orbit coupling interaction cannot be neglected for strong covalent systems, especially for V 2+ doped in CsMgBr 3 :V 2+ .     

Ni2+—6X-络合物g因子的双自旋—轨道耦合系数模型

本文提出一个计算Ni²⁺—6X^-络合物g因子的双自旋-轨道耦合系数模型,并用以计算NaCl:Ni²⁺和NaBr:Ni²⁺的g因子。计算中采用了一种半经验方法来确定分子轨道系数。结果表明,对Br^-或I^-这类具有大的自旋-轨道耦合系数的配体离子,配体自旋-轨道耦合作用对g因子的贡献不可忽略。这表明,对某些共价晶体,g因子的计算必须用双自旋-轨道耦合系数模型的理论公式而不能用只包括 关键词：     

New expressions for g—factors of the mixed ground state of 3d^9 ions with a compressional tetragonal symmetry and its application to NaCl：Ni^＋（I）

We deduce new expressions for g-factors of the 3d⁹ ions with a compressional tetragonal symmetry, in which we consider not only the contribution from the spin-orbit coupling of the central transition metal ion but also that of the ligand orbits as well as the admixture of ²B_1g into ²A_1g (ground state). By using the new formulae, the electron paramagnetic resonance g-factors for NaCl:Ni⁺(I) are studied. Thus, the puzzle that the g_‖-shift is positive is reasonably explained.     

Theoretical investigations of the EPR parameters and local structure for Cu2+ in BeO

The electron paramagnetic resonance (EPR) parameters (the anisotropic g factors, the hyperfine structure parameters and the quadrupole coupling constant Q) and local structure for Cu²⁺ in BeO are theoretically investigated from the perturbation formulas of these parameters for a 3d⁹ ion under trigonally distorted tetrahedra. The ligand orbital and spin-orbit coupling contributions are included in the basis of the cluster approach, in view of the strong covalency of the [CuO₄]^6? cluster. From the calculations, the impurity Cu²⁺ is suggested not to occupy exactly the ideal Be²⁺ site but to suffer a slight inward displacement (≈0.024 Å) toward the ligand triangle along the C₃ axis. The theoretical EPR parameters show good agreement with the experimental data.     

A model for high-spin/low-spin transitions in solids including the effect of lattice vibrations

A model for high-spin/low-spin transitions in solids is discussed including the effect of low symmetry ligand fields and spin-orbit coupling. These interactions are required in the calculation of quadrupole splitting and magnetic susceptibility. In addition, the contribution from lattice vibrations is taken into account within the approximation of the Debye model. The recently observed entropy change at the transition temperature may be easily explained on this basis. The model is applied in a detailed numerical fit of the experimental data of [Fe(4,7-(CH₃)₂-phen)₂(NCS)₂] where phen = 1,10-phenanthroline. The compound may be characterized by the parameter values Δ₁, = Δ₂ = 400 cm^?, λ = ?80 cm^?1, J = 196 cm^?1 (or J_tot = 205 cm^?1) and N = 10 experimentally based Debye temperatures Θ₁ = 140 K and Θ_h = 130 K have been employed.     

Energy levels,luminescence and electronic structure of ZnS:Tm3+

Energy levels, densities of states, electronic densities, electrostatic interaction integral parameters F_k and spin-orbit coupling parameters ζ_4f for ZnS: Tm³⁺ are calculated self-consistently, using both one-electron local density discrete variational non-relativistic Hartree-Fock-Slater (HFS) and relativistic Dirac-Slater (DS) cluster models. In these calculations, both spin-restricted and spin-polarized models are considered. The finite clusters calculated include TmS₄ and TmS₄Zn₁₂ clusters for cubic ZnS, which are embedded in the crystal environment. The spin-orbit coupling parameter ζ_4f derived from DS cluster calculations is equal to 2689 cm^-1, rather near the result of the relativistic Hartree-Fock free ion model. The parameters F_k and ζ_4f are further calculated from the 4f radial wave function obtained by solving the HFS and the DS atomic equations. It is shown that by decreasing the effective exchange-correlation potential, these parameters can be reduced to approximately match empirical values. A comparison of the excited energy level scheme of ZnS:Tm derived from the calculated parameters and the experimental spectra is presented.     

Absorption and magnetic circular dichroism spectra of Cs2ZrBr6: Os4+

High resolution absorption and magnetic circular dichroism (M.C.D.) spectra for Cs₂ZrBr₆ : Os⁴⁺ are reported at liquid helium temperature over the range 17 000–31 000 cm^-1. These results in conjunction with previous work on Cs₂ZrCl₆ : Os⁴⁺ provide a study of the Os⁴⁺ spectrum as a function of ligand spin-orbit coupling constant. The present results strongly support the previous ligand-to-metal charge-transfer interpretation formulated in the j-j limit, described by Piepho et al. [6]. The strong absorption bands can be assigned with confidence to specific, allowed charge-transfer transitions, and detailed assignments are suggested for the less intense features on the basis of forbidden (vibrationally-induced) charge-transfer transitions. Aside from the low energy region (? 16 000 cm^-1) not reported in this work, there seems to be no reason for assigning any important spectral features to d →d transitions.     

Investigations of the g factors for the trigonal [Ti(H2O)6] clusters in frozen solution from two microscopic spin Hamiltonian methods

The spin Hamiltonian parameters (SH) (g factors g_∥ and g_⊥) for the trigonal [Ti(H₂O)₆]³⁺ clusters in the rapidly frozen solutions of Ti³⁺ are calculated from the complete diagonalization (of energy matrix) method (CDM, which is established in this paper) and the perturbation theory method (PTM). The two methods are based on the two-spin-orbit-parameter model (where both the contribution due to the spin-orbit (SO) coupling parameter of central 3dⁿ ion and that of ligand are included) rather than the one-SO-parameter model in the conventional crystal-field theory (where only the contribution due to the SO coupling parameter of 3dⁿ ion is considered). The calculated results from both methods are not only consistent with the observed values, but also close to each other. This suggests that both methods can be effective in the studies of SH parameters.