钬铝石榴石晶场参数调整

利用比热实验值,对钬铝石榴石(Ho_3Al_5O_(12))晶体的晶场参数进行了调整,依此计算了Ho_3Al_5O_(12)晶体的晶场能谱、Zeeman劈裂能级和波函数.在外磁场H=0时,分别计算了Ho_3Al_5O_(12)晶体的总比热、总熵随温度的变化,以及外磁场H=10kOe时该晶体倒数磁化率的温度关系,理论计算结果均与已有实验数据符合较好.该工作为进一步探究该晶体的其它性质奠定了必要的理论基础,对实际生产和科学研究中磁制冷材料的优化选取也具有一定的现实意义.     

PrNi$lt;sub$gt;2$lt;/sub$gt;的磁和磁热性能研究

在一些磁性材料内, 磁性离子间交换作用和磁性离子的自旋涨落对材料磁性有影响. 本文根据磁比热实验值确定了晶场参数后, 利用包含自旋涨落的交换作用有效场H_m= n₀ (1 + γ T + β e^{ω T})M, 计算了PrNi₂晶体晶场能级的Zeeman劈裂. 在温度为3.8 K ≤T≤ 30 K范围内, 计算了该晶体多晶磁矩随外磁场的变化, 以及外磁场H=5000 Oe时磁化率倒数随温度的变化, 计算结果和实验值符合较好. 当外磁场在0–50000 Oe时, 计算的该晶体的磁熵变与已有文献的理论结果相似. 计算结果说明, 提出的包含自旋涨落的交换作用有效场不仅适合亚铁磁性晶体, 而且也适合顺磁性晶体. 关键词： 2')" href="#">PrNi₂ 磁比热 交换作用有效场 磁矩 磁熵变     

Cs_2NaYF_6:Ho~(3+)的电子光谱与能级结构分析

综合运用稀土光谱理论、量子力学、晶体场理论对高对称稀土离子Cs2NaYF6:Ho3+的电子光谱与能级结构展开了深入的研究。4600～24000cm-1范围内不同温度下的电子吸收光谱清楚的记录了从基态到不同激发态5FJ(J=7,6,5,4),5FS(S=5,4,3),5GP(P=6,5)及3K8的跃迁。这些跃迁表现为零声子线(ZPL)及丰富的振动结构。由光谱解析结果得到50个Ho3+的能级数据,还运用标准f-shell程序进行能级拟合及晶场分析,得到Cs2NaYF6:Ho3+能级的计算值及相应的哈密顿量参数。同时,对同类冰晶石晶格中不同配体(Cs2NaYF6:Ho3+,Cs2NaYCl6:Ho3+)的能级及拟合参数进行了对比。     

晶场二级效应与交换作用对PrF3晶体磁性及磁光性质的影响

研究了晶场二级效应在PrF3晶体中的作用,发现该效应可使Pr3+离子的晶场单态与其他态混合,对PrF3晶体磁化率产生明显影响.进一步研究了晶体内的交换作用有效场,其形式为Hin(1.9-0.02556T)×10-5M,在100-300 K 的温度范围内,以此计算的PrF3晶体的倒数磁化率和Verdet常数的倒数与实验值符合较好.结果表明,在PrF3晶体中,晶场二级效应与离子间的交换作用都不能忽略.     

Cr~(3 )∶MgAl_2O_4晶体的基态能级分裂及Jahn-Teller效应

构造了3d3/3d7离子在三角对称晶场中考虑自旋-轨道相互作用,自旋-自旋相互作用和自旋-其它轨道相互作用的120阶微扰哈密顿矩阵.利用完全对角化该矩阵的方法计算了Cr3 ∶MgAl2O4晶体的基态能级、零场分裂参量,理论计算值与实验值相符合.定量研究了自旋二重态对基态能级的贡献,证明该贡献是不可忽略的.定量研究了自旋-轨道相互作用、自旋-自旋相互作用和自旋-其它轨道相互作用对Cr3 ∶MgAl2O4晶体的光谱精细结构和零场分裂参量的影响,发现自旋-轨道和自旋-自旋相互作用对基态能级和零场分裂参量的影响的程度和方式是不同的,自旋-其它轨道相互作用的影响也是不可忽略的.通过理论计算值和实验值的比较,证实了在Cr3 ∶MgAl2O4晶体中Jahn-Teller效应的存在,解释了该晶体的光谱精细结构的成因.     

Cr3+∶MgAl2O4晶体的基态能级分裂及Jahn-Teller效应*

构造了3d3/3d7离子在三角对称晶场中考虑自旋-轨道相互作用,自旋-自旋相互作用和自旋-其它轨道相互作用的120阶微扰哈密顿矩阵.利用完全对角化该矩阵的方法计算了Cr3+∶MgAl2O4晶体的基态能级、零场分裂参量,理论计算值与实验值相符合.定量研究了自旋二重态对基态能级的贡献,证明该贡献是不可忽略的.定量研究了自旋-轨道相互作用、自旋-自旋相互作用和自旋-其它轨道相互作用对Cr3+∶MgAl2O4晶体的光谱精细结构和零场分裂参量的影响,发现自旋-轨道和自旋-自旋相互作用对基态能级和零场分裂参量的影响的程度和方式是不同的,自旋-其它轨道相互作用的影响也是不可忽略的.通过理论计算值和实验值的比较,证实了在Cr3+∶MgAl2O4晶体中Jahn-Teller效应的存在,解释了该晶体的光谱精细结构的成因.     

蓝宝石晶体的光谱精细结构、零场分裂参量及晶体结构

运用不可约张量算法和群理论构造了C3v对称晶场中3d5组念离子的252阶可完全对角化的微扰哈密顿矩阵.用此矩阵计算了Al2O3:Fe3 晶体的光谱精细结构、零场分裂参量(D,a-F)、品体结构,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.进一步研究了SO梢合作用、SS耦合作用对Al2O3:Fe3-品体的光谱精细结构和零场分裂参量的影响,结果发现SO耦合作用是最主要的,SS耦合作用也是不可忽略的.     

晶场二级效应与交换作用对PrF3晶体磁性及磁光性质的影响

研究了晶场二级效应在PrF₃晶体中的作用，发现该效应可使Pr³⁺离子的晶场单态与其他态混合，对PrF₃晶体磁化率产生明显影响.进一步研究了晶体内的交换作用有效场，其形式为H_in=(1.9-0.02556T)×10^-5M，在100—300 K的温度范围内，以此计算的PrF₃晶体的倒数磁化率和Verdet常数的倒数与实验值符合较好.结果表明，在PrF₃晶体中，晶场二级效应与离子间的交换作用都不能忽略. 关键词： 晶场二级效应 交换作用有效场 Verdet常数 3晶体')" href="#">PrF₃晶体     

Dy3Al5O12磁热性质研究

用量子理论计算了Dy₃Al₅O₁₂的晶场能谱、Zeeman劈裂能级和波函数. 在外磁场H_e为0<H_e<9 T, 温度为3<T<42 K 范围内, 计算了该晶体的磁矩、磁熵变, 计算结果与相关实验数据吻合较好. 该计算结果表明, Dy₃Al₅O₁₂内磁性离子间的交换作用非常微弱, 可以忽略. 从理论上给出了绝热退磁过程中温度变化ΔT与T的关系, 并与Gd₃Ga₅O₁₂晶体进行了比较, 发现不同外磁场下, Dy₃Al₅O₁₂和Gd₃Ga₅O₁₂的低温制冷性能在不同温区有差别. 在进行低温(T<10 K)制冷时, 若外磁场较低, 选择Dy₃Al₅O₁₂作为磁制冷材料较好; 若外磁场较高, 选择Gd₃Ga₅O₁₂作为磁制冷材料较好.     

HoIG中Ho3+离子低温下磁性各向异性现象的理论研究

基于量子理论计算了不同方向上HoIG中不同晶位上Ho3 离子的磁矩,继而求平均分别得到了[111],[110],[100]三个方向上在T=150～4.2K温度范围内HoIG中Ho3 离子的自发磁矩.计算结果显示Ho3 离子自发磁矩在低温下(T＜100K)明显出现了各向异性,并且随着温度的降低各向异性现象越来越明显,与实验结果符合较好,在理论上对HoIG中Ho3 离子自发磁矩在低温下出现各向异性现象做出了解释.     

On the behavior of Ho3+ in LaCl3 and the correlation with its absorption spectra

The crystal field (CF) energies of the electronic ground state of Ho³⁺ ions in a LaCl₃ host have been calculated with the set of CF parameters of Crosswhite et al. The magnetic anisotropy and the average susceptibility have been studied from room temperature down to liquid helium temperature. The g-values and the hyperfine structure parameters have been computed and compared with the experimental values. The Schottky and hyperfine heat capacities have also been determined and some interesting anomalies are predicted. All available observed properties are explained fairly well on the basis of the interaction of the ion with the CF proposed by Crosswhite et al.     

First Principles Calculation of the Crystal Field Splitting in Rare Earth Borocarbides

The crystal field (CF) interaction was calculated from first principles for the RNi₂B₂C (R = Pr, Nd, Sm and Er) borocarbides. The parameters of the CF hamiltonian were used to obtain the CF splitting of the ground state multiplets of the R³⁺ ions. This allows a comparison of the calculated specific heat of NdNi₂B₂C with the experiment yielding qualitatively good agreement.     

晶体C_3H_7NO_2:VO~(2+)的自旋哈密顿参数及局域结构

在晶体场理论(CF机制)和电荷转移机制(CT机制)的基础上,结合双自旋-轨道耦合参量模型、自旋哈密顿量的高阶微扰公式及晶场能量公式计算得到C_3H_7NO_2:VO~(2+)晶体的自旋哈密顿量(EPR参量)和吸收光谱,及电荷转移跃迁能级.对比只采用CF机制和采用双重机制下的计算结果,发现高价钒离子(V~(4+))掺杂在C_3H_7NO_2晶体中的CT机制对于其EPR参量的影响不能忽略.     

Investigations of the electron paramagnetic resonance spectra of VO<Superscript>2+</Superscript> in CaO-Al<Subscript>2</Subscript>O<Subscript>3</Subscript>-SiO<Subscript>2</Subscript> system

The EPR spectra for VO²⁺ in CaO-Al₂O₃-SiO₂ system are calculated using complete diagonalization method (CDM) and perturbation theory method (PTM). The calculated results are in good agreement with the observed values. By comparing the calculated results by CDM and PTM in a wide range of crystal field parameters, the validity of the PTM formulas has been studied. It is shown that, the PTM formulas are reasonable and reliable in a wide range of CF parameters.     

Neutron crystal-field spectroscopy of RNi 2 11 B2C (R = Ho,Er, Tm)

Inelastic neutron scattering experiments of the crystal-field (CEF) splitting of the R³⁺ ions (R = Ho, Er, Tm) in the superconductor RNi ₂ ¹¹ B₂C have been performed in the paramagnetic as well as in the magnetically ordered state in order to deduce the CEF parameters which in turn determine the thermodynamic magnetic properties of these systems. The calculated ordered magnetic moments are in agreement with magnetic neutron diffraction results, i.e. both the easy axis and the size of the zero-field moments are correctly reproduced. In addition, the entropy involved in the magnetic ordering obtained from specific heat measurements is in correspondence with the number of low-lying CEF states observed in this study. Our CEF parameter set also reproduces both the behavior and the anisotropy in M/H measured for single crystals.     

Electronic and magnetic properties of rare-earth ions in REBa2Cu3O7-x (RE=Dy,Ho, Er)

Heat capacity, resistivity, and magnetic susceptability data have been obtained for the compounds REBa₂Cu₃O_7-x, where RE = Dy, Ho or Er. Neutron diffraction data on the Ho compound show a structure identical to that of YBa₂Cu₃O_7-x. Magnetic transitions are observed at T_m=0.95, 0.17 and 0.59 K for Dy, Ho and Er compounds, respectively. It is argued that these are due predominantly to dipolar interactions. Resistivity data show that the magnetic state is coexistent with superconductivity in all cases. From the heat capacity data, the degeneracies of the crystal field ground states are determined, and estimates are given for the magnetic moment in the ground state and the energy separation of the first excited crystal field state.     

Magnetic interactions in Pr3+ : LiYF4 for quantum manipulation : search for an efficient three-level Λ system

The influence of an external magnetic field on the hyperfine structure of the ³ H₄(0) and ¹D₂(0) crystal field states of Pr³⁺ in LiYF₄ is studied in order to find an efficient three-level Λ system. Using an experimentally determined spin Hamiltonian, we show that three-level Λ systems can be obtained with equal strengths for the optically excited transitions under various magnetic field magnitudes and orientations. An analytical analysis based on two levels is proposed to find useful magnetic fields without extensive numerical calculations and to understand the general behaviour of the system. Pr³⁺ hyperfine structure has also been directly calculated using a complete Hamiltonian including free ion, crystal field and magnetic interactions. A good agreement with the spin Hamiltonian approach is found for the ground state whereas the excited state results poorly reproduce the experiment. This is attributed to the low accuracy of ¹D₂ crystal field wavefunctions. This suggests that transition strengths ratios could be calculated directly from the crystal field Hamiltonian with improved crystal field parameters.     

Anisotropic magnetic behavior of PrAg2Ge2—a crystal field study

A crystal field (CF) analysis of the experimental, single crystal magnetic susceptibility data (300-1.8 K) along and perpendicular to the [0 0 1] axis, of the Ag based rare earth intermetallic compound PrAg₂Ge₂, has been carried out for the first time, thus yielding first reliable set of CF parameters for the system. The susceptibility feature at 12 K is possibly due to CF effects rather than the magnetic order as proposed earlier. This removes the issue of the transition temperature being too large to scale properly with the de Gennes factor. We have used the set of CF parameters to find the Stark energies of the ground state and the excited states together with their corresponding eigenvectors, and the thermal variation of the magnetic specific heat. Possible explanation of the absence of magnetic ordering of the Pr sublattice and the nature of variation of the CF parameters with the substitution of transition-metal ion in PrAg₂Ge₂ is studied and discussed in relation to PrAu₂Ge₂. All computations have been carried out using the intermediate coupling scheme including the J-mixing.     

Quasiparticle band structure of CeCu2Si2 and CeAl3

The band structure for the ground state is obtained for CeCu₂Si₂ and CeAl₃ within the local-density approximation (LDA). Subsequently, the quasiparticle band structure is calculated on the basis of the Kondo Lattice Ansatz (KLA) for the Cerium 4f state using the LDA potential parameters for all other electrons. The KLA requires the specification of both the symmetry of the scattering channel, which is taken from the crystal-field (CF) ground state, and the energy dependence of the scattering phase shift, for which a Kondo resonance is assumed. Different results are obtained for two choices of the CF ground-state parameters for CeCu₂Si₂. Based on our results the low temperature specific heat is discussed.     

A crystal field investigation of the properties of RCuAs2 (R=Pr, Nd, Sm, Tb, Dy, Ho, Er and Yb)

A crystal field (CF) investigation of the magnetic properties and heat capacities of RCuAs₂ (R=Pr, Nd, Sm, Tb, Dy, Ho, Er and Yb) has been carried out using the observed average magnetic susceptibilities (1.8-300 K) of the title compounds. The CF parameters proposed for the systems show a systematic variation throughout the rare-earth series. Other physical properties dependent on the CF are also computed and compared with available experimental data. The experimental heat capacity data reported for a limited range of temperature agree well with computed heat capacity for all the compounds (except SmCuAs₂ and YbCuAs₂). CF J mixing was found to be appreciable for all the samples except YbCuAs₂.