应用分子子图指数估计与预测烷烃核磁共振碳谱位移和

系统地研究了核磁共振碳谱(¹³C NMR)与化学位移规律及其定量构谱关系(QSSR).本文研究了一组多元素分子子图指数矢量(VMSG),并发现它与烷烃化学位移和(CCSA)有很好线性相关性.采用多元线性回归(MVLR)进行准确估计与预测,结果良好.     

磁共振碳谱研究:应用分子子图指数估计与预测卤代烃化学位移

系统研究了核磁共振碳谱(¹³C NMR)与化学位移规律及其定量构谱关系(QSSR).本文提出了一组含多元素组成的分子子图指数矢量(VMSG),并发现它与卤代烃化学位移(CSRX)有很好线性相关性.采用多元线性回归(MVLR)进行准确估计与预测,结果良好.     

核磁共振碳谱研究:烷烃化学位移和(CSS)与分子路径指数矢量(VPM)

系统研究了核磁共振碳谱和化学位移规律及其定量构谱关系(QSSR).本文研究了一组十元素分子路径指数矢量VPM,并发现它与烷烃化学位移和CCS有良好线性相关性.采用多元线性回归进行准确估计与预测,结果优良.     

无环醇原子电距矢量及核磁共振碳谱化学位移模拟

提出以原子电性距离矢量(VAED)描述无环醇化合物中不同等价碳原子的化学环境,结合γ效应校正与碳原子类型,建立核磁共振碳谱(¹³C NMR)化学位移五参数线性模型.用于无环醇分子中4类等价碳原子化学位移的估计,复相关系数平方分别为R²=0.9753,0.9944,0.9974,0.9976;均方根误差分别为RMS=0.960,0.968,0.888,0.908ppm.经交互校验,模型稳定可靠,用于4个外部样本化学位移的定量预测,结果良好.     

氨基酸原子电距矢量表达与核磁共振碳谱模拟

提出以原子电性距离矢量(VAED)描述20种天然氨基酸中不同等价碳原子的化学环境,结合γ效应校正与碳原子类型,建立核磁共振碳谱(¹³CNMR)化学位移(CS)的五参数线性模型.用于氨基酸分子中4类不同的等价碳原子化学位移的估计,复相关系数分别为R=0.9864,0.9513,0.9463,0.9567;均方根误差分别为RMS=0.5544,2.5232,11.3096,4.9098ppm经交互校验,模型稳定性较好.并综合几种处理方法,找到一种较好的建模方法,将它用于4个外部样本化学位移的定量预测,结果良好.     

ON以新型原子距边矢量ν估计和预测烷烃核磁共振碳谱(~(13)CNMR)化学位移 (CSC)(英文)

系统研究了核磁共振碳谱与化学位移和规律 ,以及分子拓扑指数在定量 [结 ]构[波 ]谱关系 (QSSR)中的应用 .本文基于分子路径长度矢量p =(P1,P2 ,P3,… ,Pm)与分子中原子相互作用 ,提出了一种新型原子距边矢量并发现它与烷烃13CNMR化学位移有良好线性相关性 ,回归方程及其统计参数为 :CSC =aν +ap3=∑ mj=0 ajνj+a10 p3=a0 (ν0 =1 ) +a1ν1+a2 ν2 +a3ν3+a4ν4+bP3,R >0 .990 ,EV =94 .5% ,RMS <0 .772 ,F =4 9.0 69-351 3.1 8,结果良好 .     

甲醛缩氨基脲及其有关化合物的~(15)N和~(13)C核磁共振研究

本文测定了12个甲醛缩氨基脲类化合物的~(15)N和~(13)C NMR谱,研究并对比了不同取代基对~(15)N和~(13)C化学位移的影响,结果表明:~(15)N化学位移对分子结构和取代基的电子效应更加敏感,变化范围更大.对N-苯甲醛缩氨基脲~(15)N化学位移与Hammatt取代常数σ的相关性进行了研究,并与苯胺的取代效应作了对比.     

3（或）4—取代苯甲亚氨酸酯中取代基效应的^13C—NMR研究

本文测定了三个3(或4)-取代苯甲亚氨酸乙酯(1)和八个N-氰甲基-3(或4)-取代苯甲亚氨酸乙酯(2)的~(13)C-NMR谱。归属了1 和2和各碳化学位移。求得了的取代基化学位移(substituent Chemical Shift,SCS)。碳-13化学位移与单取代苯的取代基化学位移(SCS)的相关分析表明:4-取代苯甲亚氨酸酯1 b～g和2b～e中,除C_(2,6)外,其他各芳碳的化学位移值与加和规则基本相符;3-取代苯甲亚氨酸酯1h～j和2f～h中,除C_1外,其他各芳碳的化学位移值与加和规则基本相符。另外,本文还进行了碳-13化学位移与σ_(I)/σ_(R)~O和F/M的双参数相关分析。     

以新型分子距边矢量ν估计和预测烷烃核磁共振碳谱(13C NMR)化学位移和（CSS）

系统研究了核磁共振碳谱与化学位移和规律 ,以及分子拓扑指数在定量 [结 ]构 [波 ]谱关系 (QSSR)中的应用 .本文基于矢量路径长度矢量 p =(P1,P2 ,P3 ,… ,Pm)与分子中原子相互作用 ,提出了一种新型分子距边矢量并发现它与烷烃13 CNMR化学位移和有良好线性相关性 ,回归方程及其统计参数为 :CSS =bν +p3 =Σmj=0 bjνj+b10 p3 =b0 ν +b1ν1+b2 ν2 +b3 ν3 +b4 ν4 +b5ν5+b6ν6+b7ν7+b8ν8+b9ν9ν +b10 P3 =- 13.6 0 11+2 2 .2 133ν1+2 8.412 1ν2 +2 5 .9416ν3 +2 6 .6 70 9ν4 +14.4976ν5+5 .72 40ν6- 5 .3830ν7- 3.2 15 2ν8- 15 .0 2 13ν9- 2 5 .70 99ν10 +12 .2 786P3 (n =6 3,R =0 .9970 ,EV =99 .6 8% ,RMS =3.734 8,F =2 418.2 ;交互校验CV为 :R =0 .9893,EV =98.83% ,RMS =7.12 6 1,F =6 6 4.0 46 ) ;结果良好 .     

二氢黄酮类化合物的核磁共振碳谱模拟研究

采用表征分子内部化学微环境的结构描述子原子电负性作用矢量(Atomic Electronegativity Interaction Vector, AEIV)对255个共振碳原子进行了结构表征,应用多元线性回归技术建立了结构描述子AEIV与这些碳原子的¹³C NMR化学位移的定量相关模型.该定量结构谱图关系(定量构谱关系/QSSR)模型的复相关系数达到R_MM=0.915,标准偏差为SD_MM=14.879. 采用留一法交互检验的结果为R_CV=0.909,SD_CV=15.324. 结果表明,模型具有良好的估计力和稳定性.     

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．     

糖的原子电距矢量表达及其核磁共振碳谱模拟

提出以原子电性距离矢量(VAED),描述上百种糖分子中数百个不同等价碳原子的化学环境;并结合γ效应校正,建立核磁共振碳谱(¹³C NMR)化学位移(CS)的五参数线性模型.用于糖分子中四类不同的等价碳原子化学位移的估计,复相关系数R和均方根误差RMS及标准偏差SD和F-统计量F分别为:伯碳n=62,R=0.991 0,RMS=1.960 2(SD=1.9762,F=5 0 2.32 94,EV=0.980 5);仲碳n=79,R=0.9886,RMS=2.5 40 5(SD=2.5 5 67,F=5 1 5.60 4 6,EV=0.975 7);叔碳n=30 2,R=0.95 1 4,RMS=3.6884(SD=3.694 5,F=4 68.82 76,EV=0.90 35)及季碳n=1 4,R=0.5 772,RMS=8.862 6(SD=9.1 972,F=0.5 82 8,EV=-0.0 837).经交互校验,伯仲叔碳的化学位移模型稳定性较好.并综合几种处理方法,找到一种较好的建模方法,将它用于几个外部样本的定量预测,结果良好.     

Commutator representations of differential calculi on the quantum group SUq(2)

Let (Γ, d) be the 3D-calculus or the 4D_±-calculus on the quantum group SU_q (2). We describe all pairs (π, F) of a ^*-representation π of (SU_q(2)) and of a symmetric operator F on the representation space satisfying a technical condition concerning its domain such that there exist a homomorphism of first order differential calculi which maps dx into the commutator [iF, π(x)] for x ε (SU_q (2)). As an application commutator representations of the two-dimensional left-covariant calculus on Podles quantum 2-sphere S_qc² with c = 0 are given.     

Study on the local structure of (CrO6) complex in garnet crystals by optical and EPR spectrum

The local lattice structure distortions for YAG and YGG systems doped with Cr³⁺ have been investigated by the d³ configuration complete energy matrices which contain the Zeeman energy besides the electron–electron interaction, the trigonal crystal field as well as the spin–orbit coupling interaction. The local lattice structure parameters R and θ of (CrO₆)⁹⁻ complex are determined for Cr³⁺ in YAG and YGG systems, respectively. The calculated results show that the local lattice structures have expansion distortions, which almost tend to the same after distortions. Meanwhile, the EPR parameter D, g factors (g_||, g) and optical spectrum of these systems have been interpreted uniformly by quantitative calculation. It is shown that the effect of the orbit reduction factor k on g factors (g_||, g) cannot be ignored.     

Generalized Einstein manifolds

A Finslerian manifold is called a generalized Einstein manifold (GEM) if the Ricci directional curvature R(u,u) is independent of the direction. Let F⁰(M, g_t) be a deformation of a compact n-dimensional Finslerian manifold preserving the volume of the unitary fibre bundle W(M). We prove that the critical points g₀ F⁰(g_t) of the integral I(g_t) on W(M) of the Finslerian scalar curvature (and certain functions of the scalar curvature) define a GEM. We give an estimate of the eigenvalues of Laplacian Δ defined on W(M) operating on the functions coming from the base when (M, g) is of minima fibration with a constant scalar curvature H admitting a conformal infinitesimal deformation (CID). We obtain λ ≥ H/(n − 1) (Δf = λf). If M is simply connected and λ = H/(n − 1), then (M, g) is Riemannian and is isometric to an n-sphere. We first calculate, in the general case, the formula of the second variationals of the integral I (g_t) for G = g₀, then for a CID we show that for certain Finslerian manifolds, I″(g₀) > 0. Applications to the gravitation and electromagnetism in general relativity are given. We prove that the spaces characterizing Einstein-Maxwell equations are GEMs.     

Minimal renormalization without ε-expansion: Three-loop amplitude functions of the 0(n) symmetric Φ theory in three dimensions below Tc

We present an analytic three-loop calculation for thermodynamic quantities of the O(n) symmetric Φ⁴ theory below T_c within the minimal subtraction scheme at fixed dimension d = 3. Goldstone singularities arising at an intermediate stage in the calculation of O(n) symmetric quantities cancel among themselves leaving a finite result in the limit of zero external field. From the free energy we calculate the three-loop terms of the amplitude functions ƒ_Φ, F₊ and F₋ of the order parameter and the specific heat above and below Tc, respectively, without using the e = 4-d expansion. A Borel resummation for the case n = 2 yields resummed amplitude functions f_Φ and F₋ that are slightly larger than the one-loop results. Accurate knowledge of these functions is needed for testing the renormalization-group prediction of critical-point universality along the λ₋line of superfluid ⁴He. Combining the three-loop result for F₋ with a recent five-loop calculation of the additive renormalization constant of the specific heat yields excellent agreement between the calculated and measured universal amplitude ratio A⁺/A^- of the specific heat of ⁴He. In addition we use our result for f_Φ to calculate the universal combination Rc of the amplitudes of the order parameter, the susceptibility and the specific heat for n = 2 and n = 3. Our Borel-resummed three-loop result for R_c is significantly more accurate than the previous result obtained from the ε-expansion up to O(ε².     

基于新的整数型分子图论指数M系统探索烷烃核磁共振碳谱(13C NMR)化学位移和CSS规律

系统研究了核磁共振碳谱与化学位移和规律,以及拓扑图论方法在定量结构波谱关系(QSSR)中的应用.本文基于路径长度矢量p=p1,p2,p3,…,pm)组合研究提出了一种新的整数型拓扑图论指数M=(p1+p2)+(p1-p3),并发现它与烷烃¹³C NMR化学位移和有良好线性相关性:回归方程及其统计参数为CSS=+14.329^* M-21.089;n=65,R=0.991,SD=7.684,F=3648.021,U=215381.656,Q=3719.563;交互校验CV结果为:R=0.990,R²(01)=0.981,SD(01)=8.086,F(01)=3288.113,U(01)=214982.172,Q(01)=4119.042.