三角对称晶场下d8电子组态的EPR参量的普遍公式及其应用

本文考虑到d⁸电子组态中所有自旋三重态和自旋单态对基态的影响,用高阶微扰法导出了d⁸电子组态在三角对称晶场下光谱和基态EPR普遍公式。发现在三角对称晶场下,d⁸电子组态离子的g_⊥ > g_‖或g_⊥ < g_‖和D > 0或D < 0是以立方对称晶场为界,晶体中顺磁离子的配体沿C₃轴伸长或压缩所致。利用所得公式计算了NiCl₂和NiSiF₆·6H₂O晶体的EPR参量,其结果与实验吻合较好。     

单晶变角EPR谱的解释I.掺Cr3+铝铵矾单晶的EPR

对本征场的计算方法作了新的分析,提出了新的计算方案,根据这方案编写了程序,并应用这一程序对掺Cr³⁺铝铵矾单晶变角的EPR谱作了解析,得到了更加可靠更为准确的自旋-Hamilton参数;D=0.04845cm^-1,g_x=g_y=1.9761,g₂=1.9752.用上述参数,对各个离子不同角度下的广义本征场计算的共振磁场与实验数据拟合很好.充分说明采用此法处理EPR的优越性.     

高次柱面反射型太阳能聚光镜的光学设计

提出了一种新型高效太阳能聚光镜, 这种聚光镜用一组特定系数, a₂, a₄, a₆, a₈, a₁₀, a₁₂, a₁₄, a₁₆ 与 C的高次柱面内壁的一部分作为反射镜. 利用高次柱面方程和光反射定律, 推导出了在高次柱面内壁上太阳反射光束的方向矢量与高次柱面系数C, a₂,a₄, a₆, a₈, a₁₀, a₁₂, a₁₄, a₁₆的关系, 通过优化设计这些系数, 可以使入射到高次柱面内壁上的太阳光束反射后全部聚焦在一条与柱面母线平行的宽度很窄的线段上, 形成线聚光. 这组特定系数用粒子群优化算法求得, 并经计算机模拟证明其聚焦效果. 用这组特定系数的高次柱面作为聚光镜, 其对光的压缩比可达148倍, 其线性光斑可作为一种强光源或高温光源. 高次柱面反射镜可由金属或玻璃直接磨制而成, 也可由高次柱面骨架和铺设在骨架上的镀铝聚酯薄膜构成. 关键词： 太阳能聚光镜 高次柱面 多项式系数优化 线性聚焦     

Cu1-xHxZr2(PO4)3中Cu2+的EPR谱和局域结构研究

本文采用Cu²⁺斜方对称电子顺磁共振（EPR）参量的高阶微扰公式计算了晶体Cu_1-xH_xZr₂（PO₄）₃中Cu²⁺的EPR参量（g因子和超精细结构常数A因子）．计算结果表明,晶体Cu_1-xH_xZr₂（PO₄）₃中[CuO₆]^10-基团的Cu-O键长分别为R_||≈0.241 nm,R_⊥≈0.215 nm,平面键角τ≈80.1°;由于对称性降低,中心金属离子基态²A_1g（θ）和²A_1g（ε）有一定程度混合,混合系数α≈0.995．所得EPR谱图的理论计算值与实验数据符合得很好．     

掺Gd3+钼酸盐AMoO4 (A=Ca,Sr, Ba,Pb)自旋哈密顿参量的理论计算

采用基于单电子晶体场机制的对角化能量矩阵方法, 计算了Gd³⁺在钼酸盐AMoO₄ (A=Ca, Sr, Ba, Pb)晶体中的自旋哈密顿参量(g因子g_//, g_⊥和零场分裂b₂⁰, b₄⁰, b₄⁴, b₆⁰, b₆⁴). 矩阵中的晶体场参量采用重叠模型计算. 计算结果显示, 应用三个合理的可调参量[即重叠模型中的内禀参量A₂ (R₀), A₄ (R₀)和A₆ (R₀)], 计算的七个自旋哈密顿参量与实验结果符合甚好, 表明该方法可用于计算或解释Gd³⁺在晶体中的自旋哈密顿参量. 关键词： AMoO₄ (A=Ca,Sr,Ba,Pb):Gd³⁺晶体')" href="#">AMoO₄ (A=Ca,Sr,Ba,Pb):Gd³⁺晶体 自旋哈密顿参量 晶体场理论 对角化能量矩阵     

非晶锂离子导体B2O3-Li2O-LiCl一Al2O3中VO2+的电子自旋共振

两种非晶锂离子导体B₂O₃-0.7Li₂O-0.7LiCl-xAl₂O₃-0.1V₂O₅(x=0.05和0.15)的电子自旋共振谱研究表明:(i)ESR线型是高斯型,证实V₂O₅添加量适当;(ii)超精细结构来源于VO²⁺络离子,具有四角对称性,属C_4v群。越精细耦合张量的平行分量平均值A_//=0.0175cm^-1,垂直分量A_⊥=0.0063cm^-1。由g_//(g_⊥)求出其基态²B_2g与第一激发态²E_g的能级间距△₁=2.46×10⁴ cm^-1,基态与第二激发态²B_1g的能级间距△₂=3.03×10⁴ cm^-1;(iii)变温实验证实:Al₂O₃组分较少(x=0.05)的非晶ESR强度比x=0.15的非晶高3倍至2倍,而Al₂O₃组分越多则ESR强度随温升下降越小。     

模糊聚类正交方法若干结果

本文提出一个新的模糊聚类方法:正交法,这种方法基于如下正交聚类原则:记截矩阵R_λ=(α₁,α₂,…,α_n),其中列向量α_j=(α_1j,α_2j,…,α_nj)^T,所谓向量α_i,α_j正交,指内积(α_i,α_j)=0。     

插层化合物LixTiS2中Li离子-空位二维有序结构稳定性的第一性原理研究

根据局域密度近似下的密度泛函理论，用第一性原理方法对TiS₂，LiTiS₂和Li_xTiS₂(x=1/4, 1/3, 1/2, 2/3, 3/4)有序系统进行了几何优化和总能量计算.将计算结果与已有的实验和理论结果进行了对比，得到的归一化结构参量增量Δa₀和Δc₀随离子浓度单调地增加，与实验结果符合较好.Li_{关键词： x}TiS₂')" href="#">Li_xTiS₂ 有序结构 第一性原理计算 密度泛函理论     

立方对称晶场中6S(3d5)态离子的磁相互作用及其自旋哈密顿参量的微观起源

基于完全对角化方法(complete diagonalization method, CDM), 研究了⁶S(3d⁵)态离子在立方对称晶场中的磁相互作用,分析了自旋哈密顿参量(a, g,Δg)的微观起源.研究中除了考虑研究者通常考虑的SO(spin-orbit)磁相互作用外,同时考虑了SS(spin-spin),SOO(spin-other-orbit),OO(orbit-orbit)磁相互作用.研究表明：⁶S(3d⁵)态离子在立方对称晶场中的自旋哈密顿参量起源于五种机理,即SO机理,SS机理,SOO机理,OO机理以及SO-SS-SOO-OO联合作用机理.文中研究了五种机理的相对重要性,结果表明：SO机理与SO-SS-SOO-OO联合作用机理在五种机理中最为重要.尽管SS,SOO,OO磁相互作用单独作用时对自旋哈密顿参量的贡献很小,但它们的联合作用SO-SS-SOO-OO机理对自旋哈密顿参量的贡献非常可观.此外研究表明：零场分裂参量a主要来自纯自旋四重态及自旋二重态与自旋四重态联合作用的贡献,而Zeemang(或者Δg)因子主要来自纯自旋四重态的贡献.纯自旋二重态对自旋哈密顿参量a与g(或者Δg)的贡献为零.在我们所选择的晶场区域,发现下列关系始终成立：a>0,a(-|Dq|)<a(|Dq|),g(-Dq)=g(Dq),a(-Dq,-ξ_d,B,C)=a(Dq,ξ_d, B,C),Δg(-Dq,-ξ_d, B, C)=Δg(Dq,ξ_d, B, C).作为本文理论的应用,研究了四种典型的Mn²⁺掺杂晶体材料,即Mn²⁺:KZnF₃,Mn²⁺: RbCdF₃,Mn²⁺: MgO,Mn²⁺: CaO,理论与实验测量符合很好. 关键词： 自旋哈密顿参量 6S(3d⁵)态离子')" href="#">⁶S(3d⁵)态离子 磁相互作用 完全对角化方法(CDM)     

一类带扰动的Sine-Gordon方程的谱方法

研究一类具扰动的Sine-Gordon方程u_tt-u_xx+αsinu-βu_xxt=g(u),t>0,-∞< x< ∞的周期初值问题,提出了谱方法,并用先验估计方法作了误差估计,证明了近似方法的收敛性,并得到了该问题广义解的存在、唯一性。     

一种EPR谱图模拟软件的研制

采用Microsoft Visual BASIC 4.0 for Windows 95编写了一个EPR谱图模拟软件.此软件采用鼠标控制命令按键进行程序过程.得到的图象分辨率和色彩优于用其他早期开发的BASIC语言编写的程序,打印的黑白图象质量也很好.运算时间小于20秒.这种软件可用于多种EPR模拟应用,包括自由基EPR谱图的模拟、过渡金属离子E PR谱图的模拟和二维EPR成像的模拟.EPR成像可以彩色强度图、等高线图或三维俯视图来表示.所有的模拟图象均可用激光打印机打印成黑白图片.自由基模拟程序的数据组有2560点.EPR成像的像素一般为128×128点.     

Investigations of the optical and EPR spectra for (NiX6) (X=Cl, Br, I) clusters

In this paper, the formulae of optical spectral levels and electron paramagnetic resonance (EPR) spectra in trigonal symmetry of 3d⁸ ions are established on the basis of strong field mechanism and a two spin-coupling (SO) parameters model. Unlike the classical crystal-field approach which has only taken the SO coupling of the central metal ions into account, the contribution of the SO coupling of the ligand ions to the optical and EPR spectra has been included in these formulae. When the optical and EPR spectra of the strong covalent crystals are calculated, the reasonable results can be obtained if the two SO parameters model has been put into action. As an application, the optical and EPR spectra of the (NiX₆)⁴⁻ clusters in CsMgX₃:Ni²⁺ (X=Cl, Br, I) crystals have been studied by the complete diagonalization (of energy matrix) method (CDM). The calculated results agree well with experimental findings. From the investigations, a more valid method to calculate the optical and EPR spectra for 3d⁸ ions clusters is provided.     

EPR diagnostics of laser materials based on ZnSe crystals doped with transition elements

The electron paramagnetic resonance (EPR) spectra observed in laser materials based on zinc selenide (ZnSe) crystals doped with transition elements have been analyzed and identified. It has been shown that, in addition to working impurities (Cr²⁺, Co²⁺, or Fe²⁺), the diffusion layer exhibits EPR spectra of accompanying impurities due to the diffusion of transition elements (chromium, cobalt, or iron) used in the preparation of active materials for quantum electronics (lasers, switches) operating in the mid-infrared range. EPR diagnostics of these impurities can be used in the development of appropriate regimes for minimizing concentrations of accompanying impurities that adversely affect the performance characteristics of laser materials. It has been found that, during the diffusion of transition metals, ions of the accompanying impurity Mn²⁺, which is characterized by extremely informative EPR spectra, are embedded in the crystal lattice. It has been proposed to use these ions as ideal markers to control, on the electronic level, the crystal structure of the active diffusion layer.     

Quantitative EPR studies of transition metal ions in oxide,aluminosilicate and polymer matrices

The importance of the proper choice of diamagnetic diluent used for preparation of standards for quantitative EPR measurements is shown by the example of CuSO₄ and VOSO₄ standards. The results of determination of the stability of chemical composition of VOSO₄-K₂SO₄ standards stored for various periods of time, performed by different analytical methods, are compared. The examples are given to illustrate application of quantitative EPR measurements in the studies of structure and properties of transition metal ions dispersed in various matrices. Changes in the coordination sphere of surface transition metal ions occurring upon adsorption of gas molecules, the degree of dispersion of these ions and the extent of Mⁿ⁺?Mⁿ⁺ interactions derived from quantitative EPR measurements are described. The results of investigation of the mechanism of adsorption and catalytic reactions occurring on dispersed transition metal ions are presented.     

液氦温度(4.2K)下LaOBr:Ce3+,Tb3+粉末的电子顺磁共振研究

本文研究了LaOBr:Ce+3,Tb3+粉末在液氦温度(4.2K)下的电子顺磁共振,并且进行了晶体场理论计算,理论与实验结果符合得较好,这表明Ce,Tb离子取代了基质中La离子形成发光中心。     

中国岫岩玉的致色机理及色度学研究

通过岫岩玉的成分、过渡金属离子的价态及配位状态来研究岫岩玉的致色机理。电感耦合等离子原子发射光谱(ICP-AES)结果显示样品中除了铁和锰,几乎没有其他过渡金属元素。电子顺磁共振谱(EPR)则揭示了位于八面体晶格上的Mn2+和位于四面体和八面体晶格上的Fe3+,而吸收光谱(OAS)则证实了Fe2+和Fe3+的共同存在。分析结果表明Fe2+对岫玉的绿色起主要作用而岫玉的黄色则是由Fe2+和Fe3+的共同作用决定的。此外通过漫反射光谱(DRS)计算出岫玉的色度坐标,对比发现人眼感觉颜色类似的样品其实色度坐标有很大差异。因此可以通过色度坐标来定量区分岫玉颜色的差异,这具有一定的学术价值和经济价值。     

Surface states and its influence on luminescence in ZnS nanocrystallite

In this pape,r the influence of surface effects on the self-activated (SA) luminescence in ZnS nanoparticles prepared by the wet-chemical method is presented. It is observed that the luminescence of SA decreases dramatically by rinsing with methanol. In the rinsed sample, the luminescence of SA increases more by ultraviolet (UV) light irradiation. To clarify its origin, the Raman spectra and electron paramagnetic resonance (EPR) are studied. The results demonstrate that the vibrational modes assigned to organic functional groups of -OH and -COO and -CH₃ decreases remarkably by rinsing, while the EPR signal originated from the unpaired electrons of some transition metal impurity ions including Mn²⁺ increases. It is suggested that the SA centers prefer to occupy the sites near the surface and that the donor of SA emission may be partly related to the organic functional groups of -OH and -COO adsorbed on the surface. The surface-dangling bonds caused by unpaired electrons of some transition metal impurity ions play a role of surface states, leading to the quenching of the SA emissions. The organic functional groups chemically combine with these surface-dangling bonds leading to the decrease in surface states and surface nonradiative relaxation channels and to the increase in the SA emissions.     

晶体NiX2(X=Cl,Br,I)的光谱和电子顺磁共振谱研究

在强场耦合图像中,采用双自旋-轨道耦合(SO)参量模型建立了过渡族3d2(3d8)离子的三角对称下全组态光谱能级和电子顺磁共振(EPR)公式.与经典的晶体场理论(仅考虑中心金属离子的自旋-轨道耦合作用)相比较,该公式还包括了配体离子的自旋-轨道耦合作用的贡献,这一模型在应用于计算共价性较强的晶体光谱和电子顺磁共振谱可得到合理的结果.作为验证,用完全对角化方法研究了品体NiX2(X=Cl,Br,I)的光谱和电子顺磁共振谱,结果表明,理论与实验很好地符合.建立的全组态谱能级和电子顺磁共振公式为更精确地计算光谱和电子顺磁共振谱提供了一条可行方法.     

CsMgX3：V^2＋（X=Cl,Br）中配体SO耦合对EPR参量的贡献

用双自旋－轨道耦合系数模型研究了晶体ＣｓＭｇＣｌ３和ＣｓＭｇＢｒ３中掺杂Ｖ２＋离子的ＥＰＲｇ因子和零场分裂Ｄ。计算中，用半经验方法确定了分子轨道系数。研究表明，对Ｂｒ－这类有强共价性和大ＳＯ耦合系数的配体，其ＳＯ耦合作用对络合物ＥＰＲ参量的贡献不可忽略。     

玻璃基质中ZnS纳米晶Mn2+的EPR谱

用融熔法制备分散有ZnS:Mn²⁺纳米晶的纳硼硅(Na₂O-B₂O₃-SiO₂)玻璃在不同温度、时间对样品进行退火处理,得到不同尺寸的纳米晶.研究了玻璃基质中ZnS:Mn²⁺纳米晶的EPR谱、微波功率饱和EPR谱及发射光谱,发现Mn²⁺有二种组态,即替位组态和间隙位组态.分析结果表明替位组态Mn²⁺及周围立方晶场的畸变程度直接影响光学发光特性.