CoⅩⅧ离子2s~22p~53l2s2p~63l、2s~22p~54l组态的能级及跃迁波长计算

本文用相对论多组态Dirac-Fock广义平均能级(MCDF-EAL)模型,计算了可能形成超真空紫外区相干辐射的类氖等离子体激光工作物质的CoXVⅢ离子2s~22p~53l、2s2p~63l、2s~22p~54l组态精细结构能级的能量值,以及3l、4l-2p~6(~1S_0)、3l-3l＇、3l-4l＇、4l-4l＇多重态之间的跃迁波长值。3l、4l-2p~6(~1S_0)跃迁波长计算值与已知观测值符合相当好。     

Nb XIII离子3d94s2, 3d94s4p, 3d94p2 组态能级结构与跃迁的理论研究

用准相对论Hartree-Fock方法对Nb XIII离子二电子激发组态3d⁹4s², 3d⁹4s4p, 3d⁹4p² 的能级结构做了全面系统的理论计算研究.在对已有研究结果分析的基础上, 运用最小二乘方法对径向积分参数进行了优化计算, 得到了与这些组态有关的电偶极允许跃迁的谱线波长和跃迁概率.计算结果与最新的实验值做了对比分析, 表明本文计算结果是准确的. 研究发现, 波长40.92 nm的谱线, 属于3d⁹4s(¹D)4p²F_7/2–3d⁹ (²D)4s^{2 2}D_5/2 的跃迁谱线, 而不属于3d⁹4s (¹D)4p⁴D_7/2–3d⁹(²D)4s^{2 2}D_5/2 的跃迁谱线, 即上谱项能级为²F_7/2, 而不是⁴D_7/2. 关键词： Nb XIII离子 二电子激发组态 谱线波长 跃迁概率     

类氖RbⅩⅩⅧ,Sr ⅩⅩⅣ和YⅩⅩⅩ2p~53l-2p~54l~1跃迁波长和能级的相对论多组态Dirac—Fock计算

本文用MCDF-EAL计算模式,计算了可能成为超真空紫外区的类氖等离子体激光工作物质的Rb XXVIII、Sr XXIX和YXXX类氖离子的1s~22s~22p~53l与1s~22s~22p~54l组态的精细结构能级的能量,首次预言了3l—4l’各精细结构能级间可能的跃迁波长值.     

CuⅩⅧ离子谱线波长和跃迁概率的理论计算

用多组态HFR方法对CuⅩⅧ离子n=3complex组态能级结构进行了综合的分析与计算.在已 有实验工作的基础上，运用参数拟合方法获得了能级结构参数的最佳计算值，由这些参数值 预测计算了CuⅩⅧ离子n=3complex组态能级以及3s²—3s3p,3s3p—3p ²,3p²—3p3d,3s3d—3p3d,3p3d—3d²组态能级跃迁的谱线波 长，振子强度和跃迁概率. 关键词： CuⅩⅧ离子 原子能级 跃迁谱线波长 振子强度和跃迁概率     

高离化态类镍离子电子碰撞激发过程的相对论扭曲波理论研究

利用相对论扭曲波方法和新发展的研究电子碰撞激发过程的计算程序REIE06,系统计算了电子碰撞激发高离化态类镍Gd³⁶⁺和Rn⁵⁸⁺—U⁶⁴⁺(Z=86—92)离子从基态到4l(l=s,p,d,f)次壳层精细结构能级的碰撞强度和截面.研究了随等电子系列变化时,从基态到与X射线激光有关的3d⁹4p和3d⁹4d激发态能级的电子碰撞激发截面随Z的变化,讨论了强的组态相互作用对高离化态类镍离子截面的影响.通过对Gd³⁶⁺离子涉及X射线激光跃迁的相关能级电子碰撞激发速率系数的计算,分析了等离子体中电子温度对碰撞过程的影响.同时,目前部分计算结果与以往的理论结果进行了比较,得到了很好的一致性. 关键词： 电子碰撞激发 相对论扭曲波方法 高离化态类镍离子     

SrAl12O19：Pr3+中4f2→4f2电偶极跃迁强度参量化

对SrAl₁₂O₁₉：Pr³⁺中4f²→4f²电偶极跃迁强度的参量化进行了研究.考虑明确的4f5d组态成分与4f²跃迁能级混杂对4f²组态内跃迁的影响.引入新的强度参数T_kq，参数值由³P₀能级的相关实验数据拟合.利用拟合的参数T₃₃和T₅₃计算¹S₀向下各能级发射的跃迁强度，计算值与实验及Judd-Ofelt理论的结果进行了比较. 关键词： 12O₁₉：Pr³⁺')" href="#">SrAl₁₂O₁₉：Pr³⁺ 宇称态混杂 4f5d组态 强度参数     

电子相关对Xe10+离子4d8—4d75p跃迁系跃迁概率的影响

应用多组态Dirac-Fock(MCDF)方法,对Xe¹⁰⁺离子进行了理论计算,获得了跃迁波长和概率等数据.通过逐步引入4dⁿ—5pⁿ(n=1, 2, 3)电子相关的相互作用组态,重点研究了电子相关效应对4d⁸—4d⁷5p跃迁系跃迁概率的影响.结果显示电子相关效应显著,表明了欲得到精确的4d⁸—4d⁷5p的振子强度(跃迁概率)数据,理论计算中至少要包括到4d²—5p²的电子相关组态的影响.与实验测得的跃迁波长比较发现,理论结果与之有着较好的一致性;同时理论跃迁概率在两种规范下的结果符合得相当精确,显示了计算结果的可靠性. 关键词： 多组态Dirac-Fock(MCDF)方法 电子相关 跃迁概率     

波动方程辛算法的迭代求解

对(∂²)/(∂x²)利用中心差商算子,对expt作对角Padé逼近,由波动偏微分方程可得到两类具有O(Δx²+Δt^2l)和O(Δx⁴+Δt^2l)精度的辛格式.对由此类辛格式产生的线性方程组构造了两种迭代解法,并对l=1,2,3,4给出了它们的收敛条件.并进行了数值实验.     

RuXIV离子能级和振子强度的理论计算

利用组态相互作用理论和参数外推方法,计算RuXIV离子4s²4p,4s4p² 4s²4d和4p³组态的能级,以及4s²4p—4s4p²,4s²4p—4s²4d和4s4p²—4p³跃迁的谱线波长和振子强度。4s²4p和4s4p²组态的能级与已有实验 关键词：     

类氮SⅩ、PⅨ精细结构能级和跃迁波长的相对论多组态Dirac-Fock计算

本文用相对论多组态Dirac-Fock广义平均模型(MCDF-EAL)计算了可能成为激光工作物质的类氮SX、PⅨ的2s~22p~3、2s2p~4、2p~5、2s~2p~23s、2s~22p~23p组态的各44条精细结构能级和32条3s-3p组态跃迁波长。其中关于SⅩ的3s、3p组态的能级和PⅨ的3p组态能级的计算值是本文首次预言的。     

The first eigenvalue of the Dirac operator on Kähler manifolds

If M^2m is a closed Kähler spin manifold of positive scalar curvature R, then each eigenvalue λ of type r (r {1, …, [(m + 1)/2]}) of the Dirac operator D satisfies the inequality λ² ≥ rR₀/4r − 2, where R₀ is the minimum of R on M^2m. Hence, if the complex dimension m is odd (even) we have the estimation

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for the first eigenvalue of D. In the paper is also considered the limiting case of the given inequalities. In the limiting case with m = 2r − 1 the manifold M^2m must be Einstein. The manifolds S², S² × S², S² × T², P³( ), F( ), P³( ) × T² and F( ³) × T², where F( ³) denotes the flag manifold and T² the 2-dimensional flat torus, are examples for which the first eigenvalue of the Dirac operator realizes the limiting case of the corresponding inequality. In general, if M^2m is an example of odd complex dimension m, then M^2m × T² is an example of even complex dimension m + 1. The limiting case is characterized by the fact that here appear eigenspinors of D² which are Kählerian twistor-spinors.     

Observation of fine structure in the 1s2s2p P-1s2p S transition of core-excited O V

We have measured the absolute wavelengths of the fine structure components of the 1s2s2p^{2 5}P-1s2p^{3 5}S transition in beryllium-like oxygen using the method of fast ion spectroscopy. These results represent the first measurement of fine structure in any core-excited 4-electron ion. We have also measured the lifetime of the metastable 1s2p^{3 5}S state. The structure and lifetime results are compared with recent relativistic MCHF calculations.     

OPTICAL ISOTOPE SHIFTS AND CONFIGURATION MIXING AT THE LEVEL (26772)011/2 IN Nd II

Optical isotope shifts in the transition 4f⁴5d ⁶I_11/2-(26772)⁰_11/2 of Nd II were measured by using collinear fast-ion-beam laser spectroscopy. The configuration admixtures of the previously unclassified (26772)⁰_11/2 level were quantitatively analyzed to be 4f⁴6p, 4f³5d², and 4f³5d6s with mixing probabilities of 13%, 85%, 2%, respectively.     

高准确度的钙离子光频标

近年来,冷原子技术和激光技术促进了高精度光频标的发展,有望在建立时间基准、推动基础研究和满足国家需求等方面发挥重要的作用.本文介绍了中国科学院武汉物理与数学研究所近年来在高准确度钙离子(~(40)Ca~+)光频标研究方面的进展:采用新的ULE腔系统,实现了729 nm钟跃迁激光器1—100 s的频率稳定度均优于2×10~(-15),通过对外场和环境效应的控制及克服,特别是囚禁离子运动效应的抑制,获得单个钙离子光频标的不确定度优于5.5×10~(-17);通过两台光频标的比对,测得20000 s的稳定度也进入10~(-17)量级;基于高精度钙离子光频标平台,进行了相关精密测量的工作,包括:基于全球定位系统的超高精度远程光频绝对值测量方案,第二次测量了钙离子的光频跃迁绝对值,该测量结果再次被国际时间频率咨询委员会采纳,更新了钙离子的频率推荐值;精确测量了钙离子的钟跃迁魔幻波长,由此提出新型的全光囚禁离子光频标的方法;精密测量了钙离子的亚稳态寿命等参数.以上工作推动了基于冷原子的精密测量工作.     

Effects of 5f-elements on electronic structures and spectroscopic properties of gold superatom model

5f-elements encaged in a gold superatomic cluster are capable of giving rise to unique optical properties due to their hyperactive valence electrons and great radial components of 5f/6d orbitals. Herein, we review our first-principles studies on electronic structures and spectroscopic properties of a series of actinide-embedded gold superatomic clusters with different dimensions. The three-dimensional(3D) and two-dimensional(2D) superatom clusters possess the 18-electron configuration of 1S21P61D10 and 10-electron configuration of 1S21P41D4, respectively. Importantly, their electronic absorption spectra can also be effectively explained by the superatom orbitals. Specifically, the charge transfer(CT) transitions involved in surface-enhance Raman spectroscopy(SERS) spectra for 3D and 2D structures are both from the filled 1D orbitals, providing the enhancement factors of the order of ～ 104 at 488 nm and ～ 105 at 456 nm, respectively. This work implies that the superatomic orbital transitions involved in 5f-elements can not only lead to a remarkable spectroscopic performance, but also a new direction for optical design in the future.     

Mn2+离子掺杂的NaTaOGeO4:Tb3+的发光性能

采用高温固相法制备了颜色可调的NaTaOGeO₄∶Tb³⁺,Mn²⁺荧光粉,并研究了其发光特性以及能量传递机理。在244 nm激发下,NaTaOGeO₄∶Tb³⁺的发射光谱的发射峰分别位于380,413,436,492,544 nm,分别属于Tb³⁺的⁵D₃→⁷F_J和⁵D₄→⁷F_J（J=6,5,4）能级跃迁,为蓝光和绿光发射。在280 nm波长激发下,在492 nm和544 nm处有较强的发射峰,分别属于Tb³⁺的⁵D₄→⁷F₆、⁵D₄→⁷F₅能级跃迁,为绿光发射。在248 nm波长激发下,NaTaOGeO₄∶Mn²⁺的发射光谱由位于576 nm处的宽带组成,属于Mn²⁺的⁴T₁→⁶A₁能级跃迁。当在NaTaOGeO₄∶Tb³⁺荧光粉中共掺杂Mn²⁺时,可以同时观察到Mn²⁺和Tb³⁺的发射峰,通过改变浓度掺杂比,可以得到颜色可调控的荧光粉。     

YNbO4：Tm3+/Yb3+上转换发光特性研究

按照50Nb₂O₅-（46-x）Y₂O₃-4Yb₂O₃-xTm₂O₃（x=0.1,0.2,0.5,1,2）的配比方式,采用高温固相法制备出了掺杂Tm³⁺/Yb³⁺的YNbO₄晶体粉末。在980 nm红外光激发下,观测到波长为478,645,707 nm的上转换荧光,分别对应于Tm³⁺离子的¹G₄→³H₆、¹G₄→³F₄、³F₃→³H₆能级跃迁过程。利用上转换发射功率与980 nm激光器工作电流关系估算出跃迁过程吸收光子数目为2.72,2.69,2.01,从而确定出前两者为三光子吸收过程,最后一个对应于双光子吸收过程。运用Judd-Ofelt理论研究样品光谱特性,根据样品的吸收谱得到样品的谱线强度参数Ω_t（t=2,4,6）,进而得出理论振子强度及实验振子强度,二者均方根偏差δ_rms=1.299×10^-7。计算了Tm³⁺离子向下能级跃迁的跃迁几率、跃迁分支比等参数。最后得出结论：（1）³F₄能级寿命较长,适合作为上转换中间能级;（2）³H₅能级寿命较长,且³H₅→³H₆跃迁分支比（96.46%）接近100%,可用于产生1 216 nm激光。     

Potential energy curves,transition dipole moments,and radiative lifetimes of KBe molecule

An ab initio calculations on the ground and low-lying excited states(X~2Σ+, 2~2Σ+, 3~2Σ+, 1~4Π, 2~4Π, 1~4Σ~+, 2~4Σ~+,and 3~4Σ~+) of KBe molecule have been performed using multireference configuration interaction(MRCI) plus Davidson corrections(MRCI+Q) approach with all electron basis set aug-cc-p CV5Z-DK for Be and def2-AQZVPP-JKFI for K.The 3~2Σ+, 1~4Π, 2~4Π, 1~4Σ~+, 2~4Σ~+, and 3~4Σ~+states are investigated for the first time. Inner shell electron correlations are computed on the potential energy curves(PECs) calculations. The spectroscopic and molecular parameters are also predicted. In addition, The transition properties including transition dipole moment, Franck–Condon factors qv'v', Einstein coefficients Av'v', and the radiative lifetimes τυ for the 2~2Σ~+–X~2Σ~+, 3~2Σ~+–X~2Σ~+, and 2~4Π–1~4Π transitions are predicted at the same time.