直接键连原子间的NMR偶合常数的自然杂化轨道研究Ⅲ、α-C-H键核自旋偶合常数1JCH

报道了一种计算直接键连原子间的核自旋-自旋偶合常数的通用关系式,结合CNDO/2分子轨道方法和自然杂化轨道方法,具体计算了一些极性α-C-H键的核自旋偶合常数。结果表明,本文方法适合于多种类型的直接键连原子间的偶合常数的计算,且与已有实验值吻合一致.     

直接键连原子间的NMR偶合常数的自然杂化轨道研究V.13C-13C和13C-31P核自旋偶合常数1JCC和1JCP

在前文工作的基础上,结合MNDO/EHMO分子轨道方法和自然杂化轨道方法,具体计算了C-C键和C-P键的核自旋偶合常数.计算结果表明,¹J_CC和¹J_CP主要由成键原子的轨道杂化作用和键极性这两种结构因素所决定.为从简单价键理论角度解释和计算¹J_CC和¹J_CP值提供了简便直观的方法.     

直接键连原子间的NMR偶合常数的自然杂化轨道研究Ⅲ、α─C─H键核自旋偶合常数￣（1）J＿（cH）

报道了一种计算直接键连原子间的核自旋─自旋偶合常数的通用关系式，结合ＣＮＤＯ／２分子轨道方法和自然杂化轨道方法，具体计算了一些极性α─Ｃ─Ｈ键的核自旋偶合常数。结果表明，本文方法适合于多种类型的直接键连原子间的偶合常数的计算，且与已有实验值吻合一致．     

直接键连原子间的NMR偶合常数的自然杂化轨道研究IV、13C-15N和13C-19F核自旋偶合常数1JCN和1JCF

首次报道了直接计算偶合常数¹J_CN和¹J_CF的线性关系式,结果表明,¹J(CN)和¹J_CF主要由成键原子的轨道杂化作用和键极性这两种结构因素所决定,且偶合相互作用中的Fermi接触项仍是最主要的.为从简单价键理论角度解释并计算J_CN和J_CF的值提供了简便直观的方法.     

大分子中磁偶极弛豫的分离

提出采用仅与偶极弛豫有关的¹³C核同¹H核之间的核交叉弛豫速率来考察分子内部运动状况。给出了实际用于考察分子运动状况的关系式,从理论上阐明了本文方法比传统上直接采用常规测定的¹³C核纵向弛豫时间T₁、演向弛豫时间T₂及NOE增强因子η来研究分子运动状况的方法要合理。建立了既适用于小分子又适用于大分子自旋系统¹³C核总自旋弛豫中偶极弛豫分离的公式.     

苯及其取代物中孪位偶合常数2JCCH的最大键级杂化轨道研究

在前文工作的基础上,本文结合MNDO分子轨道方法和最大键级杂化轨道方法研究得到了计算苯及其取代物中孪位偶合常数²J_CCH的多元级性关系式.对31个苯及其取代物中孪位偶合常数进行计算的结果表明,计算值与实验值能够较好地吻合.这一研究再次验证了²J_CCH值主要是由成键原子的轨道杂化作用,键极性,键长和键角等结构因素所决定.     

最高量子相关谱技术在同核偶合常数测定中的应用(英文)

偶合常数是一个重要的NMR参数,其数值与分子中化学键的二面角有关,可以为分子结构研究提供很重要的信息.多维NMR谱由于具有较大的化学位移分辨率,因此常常被用来测定同核或异核自旋-自旋偶合常数.本文介绍了利用最高量子相关技术(MAXY)测定同核偶合常数的方法.MAXY是最近发展的一种多维NMR谱编辑技术,可以使不同官能团(CH,CH₂,CH₃)的相关峰分布于不同的图谱区域,因此比常规的二维谱具有更高的化学位移分辨率.而且被分离开来的NMR相关峰呈吸收性线型,能清楚地展示各自的偶合分裂特征,可以直接用于测定偶合常数.     

核自旋偶合常数的计算(Ⅲ)烃类分子H-H偶合常数3J、4J、5J…的计算

本文把计算隔两个化学键的偶合常数²J的原理和方法,推广到烃类分子中的隔三个化学键的偶合常数³J和远程偶合常数⁴J、⁵J……的计算。对20个化合物的57个偶合常数的计算结果表明,除了个别与实验值相差较大外,一般都能较好地符合。     

C-H 键和C-C 键核自旋偶合常数的理论研究

利用PM3级别最大重迭对称性分子轨道法和最大键级杂化轨道方法,计算了系列烃类化合物的杂化轨道和电荷分布,拟合出计算C-H及C-C偶合常数的简单关系式. 研究了各种烃类分子中不同的C-H键和C-C键偶合常数,理论计算值和实验数据都较为符合. 进一步验证了直接键连¹J_CX偶合常数主要取决于偶合作用中的Fermi接触项,为从简单价键理论角度解释和计算¹J_CH和¹J_CC提供了一种简便直观的方法.     

氚标记药物和生化试剂的氚核磁共振测定

本文报道了用氚核磁共振测定氚化双氢心得舒等五钟定位氚标记化合物和非定位标记亮石松碱化合物中氚在分子中的位置及相对含量。并对[CH₃-³H]胸腺嘧啶和[4-³H]苯丙氨酸的未经质子去偶的³H-NMR谱进行解析,测出其氚氢间的偶合常数(J_HT),然后根据关系式:J_HH=J_HT(γ_H/γ_r)算出其磁全同质子-质子的偶合常数。     

Alkylperoxyl spin adducts of pyrroline‐N‐oxide spin traps: Experimental and theoretical CASSCF study of the unimolecular decomposition in organic solvent,potential applications in water

Spin trapping coupled with electron paramagnetic resonance spectroscopy is the most direct method for detection of very low concentrations of free radicals, and it has been intensively used to detect superoxide or alkylperoxyl radicals in biological systems, using cyclic nitrones as spin traps. The half‐life time of the ensuing spin adducts depends dramatically on the spin trap structure; however, their mechanism of decay has never been definitely established. We investigated at the MRMP2/CASSCF (MultiReference second‐order Møller‐Plesset perturbation theory/Complete Active Set Self Consistent Field) level of theory the mechanism of decay of methylperoxyl and tert‐butylperoxyl spin adducts formed with various cyclic nitrones. We showed that no transition state can be located for the O─O homolytic cleavage, which yields an intermediate biradical with the following sequence ^?O─N─C─O^?. Then, homolytic cleavage of the N─C bond yields a nitrosoaldehyde, through an early transition state with a very low activation energy. For each nitrone used as spin trap, electrospray ionization mass spectrometry analysis of the spin trapping mixture allowed to detect the presence of the expected nitrosoaldehyde. We generated tert‐butylperoxyl spin adducts in toluene, and we found a good correlation between their half‐life time and the bond dissociation energy of their peroxidic O─O bond. The theoretical method was then extended to hydroperoxyl spin adducts in water and provided promising results.     

Comparison of calculation methods for the tunnel splitting at excited states of biaxial spin models

We present the calculation and comparison of tunnel splitting at excited levels of biaxial spin models by various methods, including the generalized instanton method, the generalized path integral method for coherent spin states, the perturbation method, and the exact method by numerical diagonalization of the Hamiltonian. It is found that, for integer spin with spin number around 10, tunnel splitting predicted by the generalized path integral for coherent spin states is about 10^{-n} times of the exact numerical result for the nth excited level, while the ratio of the results of the perturbation method and the exact numerical method diverges in the large spin limit. We thus conclude that the generalized instanton method is the best approximate way for calculating tunnel splitting in spin models.     

Macroscopic spin and charge transport theory

According to the general principle of non-equilibrium thermodynamics, we propose a set of macroscopic transport equations for the spin transport and the charge transport. In particular, the spin torque is introduced as a generalized `current density' to describe the phenomena associated with the spin non-conservation in a unified framework. The Einstein relations and the Onsager relations between different transport phenomena are established. Specifically, the spin transport properties of the isotropic non-magnetic and the isotropic magnetic two-dimensional electron gases are fully described by using this theory, in which only the macroscopic-spin-related transport phenomena allowed by the symmetry of the system are taken into account.     

直接键连原子间的NMR偶合常数的自然杂化轨道研究V.~(13)C-~(13)C和~(13)C-~(31)P核自旋偶合常数~1J_(CC)和~1J_(CP)

在前文工作的基础上，结合ＭＮＤＯ／ＥＨＭＯ分子轨道方法和自然杂化轨道方法，具体计算了ＣＣ键和ＣＰ键的核自旋偶合常数．计算结果表明，１ＪＣＣ和１ＪＣＰ主要由成键原子的轨道杂化作用和键极性这两种结构因素所决定．为从简单价键理论角度解释和计算１ＪＣＣ和１ＪＣＰ值提供了简便直观的方法．     

Generalized Bargmann Representation of Spin Coherent State

Based on the conclusion that the generalized Bargmann representation of a two-mode Fock state is a two-variable Hermite polynomial function [Hong-Yi Fan and Jun-hua Chen, Phys. Lett. A303 (2002) 311] we derive the generalized Bargmann representation of the spin coherent state and some new relations in the generalized function space.     

Exchange coupling and helical spin order in the triangular lattice antiferromagnet CuCrO₂ using first principles

The magnetic and electronic properties of the geometrically frustrated triangular antiferromagnet CuCrO2 are investigated by first principles through density functional theory calculations within the generalized gradient approximations (GGA)+U scheme. The spin exchange interactions up to the third nearest neighbours in the ab plane as well as the coupling between adjacent layers are calculated to examine the magnetism and spin frustration. It is found that CuCrO2 has a natural two-dimensional characteristic of the magnetic interaction. Using Monte-Carlo simulation, we obtain the Neel temperature to be 29.9 K, which accords well with the experimental value of 24 K. Based on non-collinear magnetic structure calculations, we verify that the incommensurate spiral-spin structure with (110) spiral plane is believable for the magnetic ground state, which is consistent with the experimental observations. Due to intra-layer geometric spin frustration, parallel helical-spin chains arise along the a, b, or a + b directions, each with a screw-rotation angle of about 120°. Our calculations of the density of states show that the spin frustration plays an important role in the change of d-p hybridization, while the spin-orbit coupling has a very limited influence on the electronic structure.     

Ga_(2n)(n=1～4)团簇自旋极化机理的密度泛函理论研究

利用基于密度泛函理论的第一性原理方法,在广义梯度近似(GGA)下对Ga_(2n)(n=1～4)团簇进行了几何结构优化和结合能计算,并对其电子结构及成键特性进行了分析.结果表明,Ga_2,Ga_4团簇的基态都是自旋极化态,Ga_6团簇的能量局域极小的八面体结构也具有自旋极化;这些团簇的最外层分子轨道的空间分布是对称的,最外层分子轨道之间的能量相差很小,最外层分子轨道的近简并引起了自旋极化;对称性较高的团簇容易形成近简并的最外层分子轨道.     

Spin treatment-based approach for electronic transport in paramagnetic liquid transition metals

A novel concept is proposed to calculate both the electrical resistivity and thermoelectric power (TEP) of liquid transition metals (Mn, Fe, Co and Ni) characterized by a paramagnetic state in the liquid phase. By contrast to a previous work (PRB64, 094202 (2001)), where the resistivity was calculated by treating separately the interactions between spin up and spin down using the Matthiessen rule, our current approach is based on two types of muffin tin potentials in the t-matrix, namely spin up and spin down. The resistivity is treated as the result of the interference of the two kinds of spin states of electrons including a cross-contribution. The calculated resistivity values agree reasonably well with the available experimental ones for all the metals considered. Moreover, the calculated TEP, as deduced from the slope of resistivity vs. energy, has been found to be positive for Mn and Fe but negative for Co and Ni. Besides that, this formalism for resistivity calculation may be generalized to a system that may exist in different atomic states. It is worth mentioning that this concept is analogous to the one used in the process of neutron scattering on a metal composed of multiple isotopes.     

Tunable two-axis spin model and spin squeezing in two cavities

Multi-mode cavities have now attracted much attention both experimentally and theoretically. In this paper, inspired by recent experiments of cavity-assisted Raman transitions, we realize a two-axis spin Hamiltonian H = q(J_x~2+ χJ_y~2) + ω_0J_z in two cavities. This realized Hamiltonian has a distinct property that all parameters can be tuned independently. For proper parameters, the well-studied one- and two-axis twisting Hamiltonians are recovered, and the scaling of N~(-1) of the maximal squeezing factor can occur naturally. On the other hand, in the two-axis twisting Hamiltonian, spin squeezing is usually reduced when increasing the atomic resonant frequency ω_0. Surprisingly, we find that by combining with the dimensionless parameter χ(-1), this atomic resonant frequency ω_0 can enhance spin squeezing greatly. These results are beneficial for achieving the required spin squeezing in experiments.