完全活性空间自洽场方法对NO分子基态势能函数的研究

利用MOLPRO从头算程序包, 选用完全活性空间自洽场(CASSCF)方法并选取cc-pVTZ, cc-pVQZ, cc-pV5Z和cc-pV6Z基组, 计算了NO分子基态的平衡核间距与谐振频率, 从中优选出cc-pV5Z基组进行单点能扫描, 并将扫描结果用最小二乘法拟合得到4参数、5参数、6参数和7参数的Murrell-Sorbie势能函数. 通过比较由势能函数计算出的光谱数据, 最终确定6参数的结果最好. 最后, 利用拟合出的解析势能函数, 通过求解径向Schrödinger方程, 得到了NO分子基态J=0时的全部38个振动态的振动能级、经典转折点、惯性转动常数以及6个离心畸变常数.     

Selecting molecules in the vibrational and rotational ground state by deflection

A beam of diatomic molecules scattered off a standing wave laser mode splits according to the rovibrational quantum state of the molecules. Our numerical calculation shows that single state resolution can be achieved by properly tuned, monochromatic light. The proposed scheme allows for selecting non-vibrating and non-rotating molecules from a thermal beam, implementing a laser Maxwell's demon to prepare a rovibrationally cold molecular ensemble. Received 23 August 2000 and Received in final form 17 November 2000     

Magnetoelectrostatic trapping of ground state OH molecules

We report magnetic confinement of neutral, ground state OH at a density of approximately 3 x 10(3) cm(-3) and temperature of approximately 30 mK. An adjustable electric field sufficiently large to polarize the OH is superimposed on the trap in various geometries, making an overall potential arising from both Zeeman and Stark effects. An effective molecular Hamiltonian is constructed, with Monte Carlo simulations accurately modeling the observed single-molecule dynamics in various trap configurations. Magnetic trapping of cold polar molecules under adjustable electric fields may enable study of low energy dipolar interactions.     

Ultracold triplet molecules in the rovibrational ground state

We report here on the production of an ultracold gas of tightly bound Rb2 triplet molecules in the rovibrational ground state, close to quantum degeneracy. This is achieved by optically transferring weakly bound Rb2 molecules to the absolute lowest level of the ground triplet potential with a transfer efficiency of about 90%. The transfer takes place in a 3D optical lattice which traps a sizeable fraction of the tightly bound molecules with a lifetime exceeding 200 ms.     

Rb（7^2D）态与基态K原子的碰撞能量转移

Ｋ－Ｒｂ混合蒸汽中，使用Ｒｂ光谱灯和染料激光器，将基态Ｒｂ原子二步激发到７＾２Ｄ态用荧光法测量了过程Ｒｂ（７＾２Ｄ）＋Ｋ（４Ｓ）→Ｒｂ（５Ｓ）＋Ｋ（７Ｓ，５Ｄ），的碰撞转移截面，Ｋ７Ｓ，５Ｄ对Ｒｂ７＾２Ｄ的荧光比中，含Ｋ７Ｓ＾←→５Ｄ碰撞转移的影响，第二个实验可以消除这个影响，利用Ｋ光谱灯和染料激光器产生Ｋ７Ｓ或５Ｄ态，探测Ｋ７Ｓ（５Ｄ）对５Ｄ（７Ｓ）的荧光比，Ｒｂ７Ｄ→Ｋ７Ｓ，５Ｄ碰撞转移截面（     

A determination of zeeman parameters for NO2 in its ground state

Extensive measurements of magnetic dipole transitions in the gas phase E.P.R. spectrum of NO₂ in its [Xtilde] ² A ₁ state are reported. This type of transition was first identified by Burch, Tanttila and Mizushima. The data have been fitted simultaneously with measurements from the far infra-red laser magnetic resonance spectrum of NO₂ to determine the principal components of the electron spin g-tensor. The results are consistent with Curl's relationship between the components of the electron spin and spin-rotation tensors. It is necessary to include the effects of centrifugal distortion of the spin-rotation interaction and two parameters describing this interaction are determined in the course of the analysis. Some discussion of the origins of these parameters is included.     

基态Lin(n=2, 3)结构与完全解析势能函数

使用Gaussian03程序包, 采用全电子单双取代耦合簇(CCSD(full))方法, 选择基组6-311+g(2df) , 对Li2分子的基态进行优化计算, 采用十一参量Murrell-Sorbie函数, 运用最小二乘法拟合得到Li2分子基态解析势能函数, 给出与实验值符合很好的光谱常数; 使用同样的方法和基组, 对Li3分子的基态结构进行优化计算, 得到Li3分子基态平衡结构. 采用多体项展式法, 利用Li3分子平衡结构C2v的几何参数、力常数和离解能, 以及七个线性系数Ci(i=1, 2, 3, 4, 5, 6, 7)与两个非线性系数的函数关系, 进行非线性优化拟合得到两个非线性系数, 进而得到七个线性系数, 得到Li3分子基态完全解析势能函数. 势能面静态特征表明, 该势能函数再现了Li3分子基态全部平衡结构特征.     

基态Li_n(n=2,3)结构与完全解析势能函数

使用Gaussian03程序包,采用全电子单双取代耦合簇(CCSD(full))方法,选择基组6-311+g(2df),对Li2分子的基态进行优化计算,采用十一参量Murrell-Sorbie函数,运用最小二乘法拟合得到Li2分子基态解析势能函数,给出与实验值符合很好的光谱常数;使用同样的方法和基组,对Li3分子的基态结构进行优化计算,得到Li3分子基态平衡结构.采用多体项展式法,利用Li3分子平衡结构C2v的几何参数、力常数和离解能,以及七个线性系数Ci(i=1,2,3,4,5,6,7)与两个非线性系数的函数关系,进行非线性优化拟合得到两个非线性系数,进而得到七个线性系数,得到Li3分子基态完全解析势能函数.势能面静态特征表明,该势能函数再现了Li3分子基态全部平衡结构特征.     

Formation of ultracold polar molecules in the rovibrational ground state

Ultracold LiCs molecules in the absolute ground state X1Sigma+, v' = 0, J' = 0 are formed via a single photoassociation step starting from laser-cooled atoms. The selective production of v' = 0, J' = 2 molecules with a 50-fold higher rate is also demonstrated. The rotational and vibrational state of the ground state molecules is determined in a setup combining depletion spectroscopy with resonant-enhanced multiphoton ionization time-of-flight spectroscopy. Using the determined production rate of up to 5 x 10(3) molecules/s, we describe a simple scheme which can provide large samples of externally and internally cold dipolar molecules.     

Coherent transfer of photoassociated molecules into the rovibrational ground state

We report on the direct conversion of laser-cooled 41K and 87Rb atoms into ultracold 41K87Rb molecules in the rovibrational ground state via photoassociation followed by stimulated Raman adiabatic passage. High-resolution spectroscopy based on the coherent transfer revealed the hyperfine structure of weakly bound molecules in an unexplored region. Our results show that a rovibrationally pure sample of ultracold ground-state molecules is achieved via the all-optical association of laser-cooled atoms, opening possibilities to coherently manipulate a wide variety of molecules.     

Rotational state distribution of NO molecules scattered from surfaces

Quantum mechanical calculations of final rotational state distributions are carried out for a simple model of the scattering of NO from surfaces. The dependence of the results on parameters of the potential such as sign and size of the anisotropy and asymmetry, the well depth etc. is discussed. Certain difficulties in explaining experimental results for NO scattered from Ag (111) are pointed out. The dependence of the results on an initial rotational temperature is discussed also. Its main effect — which is well known from the literature — is to average out the quantum oscillations of the cross sections around the rainbow structures. The oscillations may become visible at rotational temperatures slightly lower than used up to now.Dedicated to B. Mühlschlegel on the occasion of his 60th birthday     

Potential energy surfaces of ozone in the ground state

Equilibrium parameters of ozone, such as equilibrium geometry structure parameters, force constants and dissociation energy are presented by CBS-Q {\it ab initio} calculations. The calculated equilibrium geometry structure parameters and energy are in agreement with the corresponding experimental values. The potential energy function of ozone with a C离解能;空气;能量表面;地面ozone, potential energy surface, barrier, dissociation energyProject supported by the National Natural Science Foundation of China (Grant Nos~10376021 and 10676025), and the Scientific Research Fund of Sichuan Provincial Education Department, China (Grant No~2006A131).2006-10-08Equilibrium parameters of ozone, such as equilibrium geometry structure parameters, force constants and dissociation energy are presented by CBS-Q ab initio calculations. The calculated equilibrium geometry structure parameters and energy are in agreement with the corresponding experimental values. The potential energy function of ozone with a C2v symmetry in the ground state is described by the simplified Sorbie-Murrell many-body expansion potential function according to the ozone molecule symmetry. The contour of bond stretching vibration potential of an O3 in the ground state, with a bond angle （θ） fixed, and the contour of O3 potential for O rotating around O1-O （R1）, with O1-O bond length taken as the one at equilibrium, are plotted. Moreover, the potentials are analysed.     

SCF-CI calculations of the potential energy curve and one-electron property curves of the X 1II ground state of NO

The energy and many important one-electron properties of the nitric oxide molecule in the ground state (X ²II) have been evaluated at various internuclear separations near the equilibrium geometry, using the direct CI method and the Graphical Unitary Group (GUG) method at both single- and multi-reference level. The one-electron properties thus obtained (and vibrationally averaged using Dunham analysis) include the electric field gradients (at both the O and N nuclei) and the multipole moments from dipole to hexadecapole moment (all with respect to the centre of mass).     

BeF2分子基态势能函数研究

利用密度泛函理论（DFT）B3LYP/aug-cc-PVTZ方法对BeF和BeF2分子进行计算, BeF分子的基态电子态为X2Σ+,平衡核间距Re=0.1367 nm,BeF2分子最稳定构型为D∞h构型,基态电子态为X1Σg+,离解能De=13.4 eV。利用最小二乘法拟合了BeF分子基态的Murrell-Sorbie势能函数,并得到其光谱数据与力常数。结合全局多体项展式方法,导出了基态BeF2分子基态势能函数的解析表达式,该函数准确反映了BeF2分子的结构以及静态反应特征,这些结果为进一步探索BeF2的微观分子反应动力学提供了基础。     

Dissociation energy of the ground state of the CuH molecule

The dissociation energy of the ground state of the CuH molecule, which is observed in sun spots and in 19 Piscium, has been evaluated by fitting the Hulburt-Hirschfelder function to the RKRV curve. It is shown that the Hulburt-Hirschfelder potential reproduces the true curve more accurately than does the Loppincott function. The D₀ value obtained in the present study is 2.84eV, while the values reported by Herzberg and Beckel et al. are <2.89 and 2.80 ±0.12eV, respectively.     

Formation of cold Cs ground state molecules through photoassociation in the pure long-range state

We report on the formation of translationally cold Cs₂ ground state molecules through photoassociation in the 1_u attractive molecular state below the 6 s _1/2 +6 p _3/2 dissociation limit. The cold molecules are obtained after spontaneous decay of photoassociated molecules in a MOT and in a dark SPOT. We also used polarized atoms, in the f =3, m f =+3Zeeman ground state. Purely asymptotic and adiabatic calculations including hyperfine interaction and rotation are in excellent agreement with observed structures. As expected, the 1_u state is actually a pure long-range state, consisting of paired atoms, uniquely linked by the first terms of the multipole expansion of the electrostatic interaction. A temperature of 20 K has been measured for the molecular cloud. Received 19 July 1999     

基态MgB2分子的结构与分析势能函数

应用群论及原子分子反应静力学方法推导MgB₂分子的电子状态及其离解极限,采用密度泛函B3LYP和从头计算QCISD方法在6-311++G**基组水平上,对MgB₂分子可能的状态进行优化计算,得出MgB₂的三重态能量最低,其稳定构型为C_2v,平衡核间距R_e=2.2977,键角α_BMgB=41.5521°,能量为-248.9645a.u.同时还计算了基态的简正振动频率:对称伸缩振动频率ν（B₂）=315.4430 cm^-1,反对称伸缩振动频率ν（A₁）=418.1883 cm^-1和弯曲振动频率ν（A₁）=968.9672 cm^-1.在此基础上,使用多体项展式理论方法,导出了基态MgB₂分子的解析势能函数,其等势面准确再现了基态MgB₂平衡结构和离解能,并由此讨论了B+MgB和Mg+BB分子反应的势能面静态特征. 关键词： 2')" href="#">MgB₂ 多体项展式理论 解析势能函数     

SiO2分子的基态(X1A1)结构与分析势能函数

应用群论及原子分子反应静力学方法推导了SiO2分子的电子态及其离解极限,采用B3P86方法,在6-311G**水平上,优化出SiO2基态分子稳定构型为单重态的C2V构型,其平衡核间距Re=RSi-O=0.1587 nm,∠OSiO=111.2°,能量为-440.4392 a.u..同时计算出基态的简正振动频率:对称伸缩振动频率v(B2)=945.4cm-1,弯曲振动频率v(A1)=273.5 cm-1和反对称伸缩振动频率v(A1)=1362.9cm-1.在此基础上,使用多体项展式理论方法,导出了基态SiO2分子的全空间解析势能函数,该势能函数准确再现了SiO2(C2V)平衡结构.