MOMENT EXPANSIONS OF PROTON DIPOLAR SPINNING-SIDEBAND INTENSITIES IN A 1H MAS NMR SPECTRUM

对于包含分子和分子基团绕至少一个轴高速运动的固体体系，本文推导出其质子核磁共振谱的偶极魔角旋转边带强度的理论计算表达式，建立了用其静态粉末谱的矩的展开的计算方法，计算出旋转边带强度按三十阶矩展开的系数，它可以处理包含高达十五阶边带的谱.     

魔角旋转情形下固体的非均匀相互作用

各向异性非均匀相互作用的慢旋转MAS-NMR谱是一系列的旋转边带,这些边带的强度包含了该相互作用张量的全部信息,只要计算和分析少数几条边带就可以得到这些有用的结构信息,本文用不可约球谐张量算符表示非均匀相互作用,采用Bessel函数展开法分析计算非均匀相互作用产生的旋转边带,这种分析计算方法适用于各种非均匀相互作用。以化学位移和四极相互作用为例的实验与理论符合很好。 关键词：     

非均匀相互作用MAS边带的抑制

在本文中,我们用Bessel函数展开法从理论上分析了非均匀相互作用产生的MAS旋转边带以及消除这些旋转边带的各种方法,从而指出当相互作用强度与转速的比值大于2时,对于最常用的TOSS方法来说会产生严重的谱失真。本文还对现存的各种抑制边带的方法作了实验比较。     

两位置交换问题魔角旋转核磁共振时域信号的准确解

已知两位置交换分子运动速率对于静态¹³CNMR谱的影响是由一简单代数关系决定,它已成为分析固体中分子运动的常规方法.慢速的魔角旋转可以保留边带,所产生的边带型原则上也可用来分析分子运动,只是缺乏象静态谱那样的简单的关系,以至于在实际应用上是不可行的.本文给出作者所发现的存在分子运动时魔角旋转核磁共振自由诱导衰减信号的解析表达式的理论推导,提供分析固体分子运动的理论谱计算公式.我们选择二甲矾(dimethylsulfone)作为模型化合物,记录其不同温度下¹³CNMR谱,又计算了两个甲基做两位置交换运动的理论谱.理论谱与实验谱定性一致.定量上,边带强度存在一些差别,但边带宽度符合很好.通过理论谱与实验谱的比较,得到交换速率与温度的对应关系.虽然本文限于化学位移各向异性相互作用两位置交换问题,但容易推广到偶极作用多位置交换问题.     

匀质半旋转面绕旋转轴转动的面积矩的数值计算

讨论了鼓形面和花瓶形面特殊形状匀质半旋转面对旋转轴的面积矩.用Mathematica编程对这两类刚体的面积矩进行了数值计算,并拟合出了其多项式表达式,从而可快速计算出这一类旋转刚体的面积矩.     

腭裂语音中齿龈塞音的声门代偿现象声学分析与判定

对齿龈塞音在腭裂语音中的声门塞音代偿现象进行了声学分析,计算频谱分布的多阶统计量—谱矩,并将代偿塞音和正常塞音进行对比。结果显示声门塞音爆破段的第一阶谱矩即频谱质心的频率位置比正常塞音低,因为声门塞音的阻塞部位在声门,导致声道腔体偏长从而共振频率偏低。还观察到声门塞音的第二阶谱矩即标准偏差偏高,说明其谱能量分布比正常塞音更加分散。声门塞音的第三阶谱矩即偏度大多为正值,反映了声门塞音功率谱的非对称性且大头朝向低频区而长尾朝向高频区。采用逻辑回归模型进行样本分类,通过交叉验证选出最优的四阶谱矩作为模型自变量,分类正确率为89.7%。结合塞音爆破时刻自动检测,实现了音节/di/的声门塞音客观判定。      

高分辨高精密甲胺分子C—N伸缩带的兰姆凹陷饱和吸收红外光谱

甲胺分子(CH3NH2)是最简单的胺类分子,但由于分子中振动-转动-扭动-反转的相互作用使得其能级结构复杂和丰富密集且谱线强度差异很大的波谱,尤其是在频率中心位于1 044cm-1的C—N伸缩振动带。我们使用利用兰姆凹陷光谱技术自主研发的分辨率为0.4 MHz的二氧化碳激光和微波边带红外光谱仪将甲胺分子的C—N伸缩振动带的多普勒光谱中密集重合在一起的上百条谱线逐条分辨开和精密地测量了它们的跃迁频率。将它们标识归类和对J(J+1)作幂级数展开后,我们求得了27个系列的最初跃迁频率和它们的有效转动常数。     

H12C14N分子v2垂直带的高温谱线强度及随温度的变化规律

采用乘积近似法计算了氰化氢分子H12C14N的总配分函数,其中转动配分函数考虑了离心扭曲修正,振动配分函数采用谐振子近似.利用计算所得配分函数和文献提供的实验振动跃迁矩平方及HermanWallis因子系数,计算了氰化氢分子H12C14Nv2垂直带,即0110-0000跃迁在常温和高温下的线强度,并与HITRAN数据库的数据进行了比较.结果显示,在296 K及温度高达3 000 K时,计算所得谱线强度与HI-TRAN数据库提供的结果均符合较好.表明对氰化氢分子H12C14N高温下的分子配分函数和线强度的计算是可靠的.进一步计算了0110-0000跃迁带在更高温度4 000和5 000 K的线强度及模拟光谱,并总结了该跃迁带中的谱线强度随温度的变化规律:对于转动量子数J≥32的跃迁谱线(包括P支、Q支和R支),当温度从296.K逐渐增加时,其线强度迅速增加,到1 000 K附近达到最大值,然后迅速减弱.对于转动量子数J<32的跃迁谱线(同样包括P支、Q支和R支),线强度在296 K时最大,然后随温度的升高迅速减弱.     

H~(12)C~(14)N分子ν_2垂直带的高温谱线强度及随温度的变化规律

采用乘积近似法计算了氰化氢分子H12C14N的总配分函数,其中转动配分函数考虑了离心扭曲修正,振动配分函数采用谐振子近似。利用计算所得配分函数和文献提供的实验振动跃迁矩平方及Herman-Wallis因子系数,计算了氰化氢分子H12C14Nν2垂直带,即0110-0000跃迁在常温和高温下的线强度,并与HITRAN数据库的数据进行了比较。结果显示,在296K及温度高达3000K时,计算所得谱线强度与HI-TRAN数据库提供的结果均符合较好。表明对氰化氢分子H12C14N高温下的分子配分函数和线强度的计算是可靠的。进一步计算了0110-0000跃迁带在更高温度4000和5000K的线强度及模拟光谱,并总结了该跃迁带中的谱线强度随温度的变化规律:对于转动量子数J≥32的跃迁谱线(包括P支、Q支和R支),当温度从296K逐渐增加时,其线强度迅速增加,到1000K附近达到最大值,然后迅速减弱。对于转动量子数J<32的跃迁谱线(同样包括P支、Q支和R支),线强度在296K时最大,然后随温度的升高迅速减弱。     

有部分峰重叠时NOESY谱的全弛豫矩阵分析

采取用理论计算的NOESY峰强度代替NOESY谱中重叠的对角峰或交叉峰强度,用理论计算值和实验数据相结合的方法解决峰强度矩阵的完整化问题,用全弛豫矩阵分析法定量分析了谱中有部分峰重叠的天然有机化合物冬凌草乙素的相敏NOESY谱,计算出冬凌草乙素分子中各质子间的交叉弛豫速率,根据1/r_ij⁶∝σ_ij计算出相应的质子间距离,结果表明:用全弛豫矩阵分析法计算出的质子间距与分子力学计算得到的质子间距离完全一致。该方法能够用于谱中有部分峰重叠的天然有机化合物的NOESY谱的定量处理,可以为核磁共振方法确定分子在溶液中的三维空间结构提供可靠的结构参数     

Distribution effects on 1H double-quantum MAS NMR spectra

The effect of a distribution in the (1)H-(1)H dipolar coupling on (1)H double-quantum (DQ) magic angle spinning (MAS) nuclear magnetic resonance (NMR) spinning sideband patterns is considered. In disordered or amorphous materials a distribution in the magnitude of the (1)H-(1)H dipolar coupling is a realistic possibility. Simulations of the (1)H DQ MAS NMR spinning sideband spectra were performed with the two-spin approximation. These simulations reveal that a dipolar coupling distribution can greatly affect the DQ spectral shape and behavior of the DQ build-up. The spectral line shapes are quantified by measurement of the relative intensities of the DQ sidebands. These variations in the (1)H DQ NMR spectra are evaluated as a function of the width of the dipolar coupling distribution. As an example, the experimental DQ spinning sideband spectrum for a hydrated polyoxoniobate containing 15 H(2)O molecules per hexaniobate cluster, are better simulated with a distribution of dipolar couplings opposed to a single coupling constant.     

Quantification of homonuclear dipolar coupling networks from magic-angle spinning 1H NMR

Numerical simulations of magic-angle spinning (MAS) spectra of dipolar-coupled nuclear spins have been used to assess different approaches to the quantification of dipolar couplings from ¹H solid-state NMR. Exploiting the translational symmetry of periodic spin systems allows extended networks with ‘realistic’ numbers of spins to be considered. The experimentally accessible parameter is shown to be the root-sum-square of the dipolar couplings to a given spin. The effectiveness of either fitting the resulting spinning sideband spectra to small spin system models, or using analyses based on moment expansions, has been examined. Fitting of the spinning sideband pattern is found to be considerably more robust with respect to experimental noise than frequency domain moment analysis. The influence of the MAS rate and system geometry on robustness of the quantification is analysed and discussed.     

Pulsed Field Gradient Selection in Two-Dimensional Magic Angle Spinning NMR Spectroscopy of Dipolar Solids

The utility of gradient selection in MAS spectroscopy of dipolar solids is explored in two examples. In the first, rotor-synchronized gradients of appropriate strength and duration are applied to select¹H double-quantum coherences. The resulting DQ MAS spectrum of adamantane is compared with that acquired by the corresponding phase-cycling technique. As a second example, a¹H 2D exchange MAS experiment is performed on an elastomer sample. In this experiment, a gradient is applied to remove undesired coherences that would otherwise distort the spectrum for short mixing times. The diagonal-peak intensities in the resulting spectrum show a linear decrease with increasing mixing time indicating cross-relaxation by slow chain motions as the relevant process. Both types of experiments demonstrate the potential of gradient-selection techniques for MAS spectroscopy of dipolar solids.     

Chemical shift anisotropy amplification

A new NMR experiment which allows a measurement of the chemical shift anisotropy (CSA) tensor under magic angle spinning (MAS) is described. This correlates a fast MAS spectrum in the omega2 dimension with a sideband pattern in omega1 in which the intensities mimic those for a sample spinning at a fraction of the rate omega r/N, and these sidebands result from an amplification by a factor N of the modulation caused by the CSA. Standard methods can be used to extract the principal tensor components from the omega1 sideband patterns, and the nature of the experiment is such that the use of a large number of t1 increments can be avoided without compromising the resolution of different chemical sites. The new experiment is useful for accurately measuring narrow shift anisotropies.     

59Co chemical shift anisotropy and quadrupole coupling for K3Co(CN)6 from MQMAS and MAS NMR spectroscopy

59Co triple-quantum (3Q) MAS and single-pulse MAS NMR spectra of K3Co(CN)6 have been obtained at 14.1 T and used in a comparison of these methods for determination of small chemical shift anisotropies for spin I = 7/2 nuclei. From the 3QMAS NMR spectrum a spinning sideband manifold in the isotropic dimension with high resolution is reconstructed from the intensities of all spinning sidebands in the 3QMAS spectrum. The chemical shift anisotropy (CSA) parameters determined from this spectrum are compared with those obtained from MAS NMR spectra of (i) the complete manifold of spinning sidebands for the central and satellite transitions and of (ii) the second-order quadrupolar lineshapes for the centerband and spinning sidebands from the central transition. A good agreement between the three data sets, all of high precision, is obtained for the shift anisotropy (delta(sigma) = delta(iso) - delta(zz)) whereas minor deviations are observed for the CSA asymmetry parameter (eta(sigma)). The temperature dependence of the isotropic 59Co chemical shift has been studied over a temperature range from -28 to +76 degrees C. A linear and positive temperature dependence of 0.97 ppm/degree C is observed.     

High-resolution solid-state NMR spectroscopy of protons with homonuclear dipolar decoupling schemes under magic-angle spinning

High-resolution NMR spectroscopy of ¹H spins in the solid state is normally rendered difficult due to the strong homonuclear ¹H–¹H dipolar couplings. Even under very high-speed magic-angle spinning (MAS) at ca. 60–70 kHz, these couplings are not completely removed. An appropriate radiofrequency pulse scheme is required to average out the homonuclear dipolar interactions in combination with MAS to get high-resolution ¹H NMR spectrum in solid state. Several schemes have been introduced in the recent past with a variety of applications also envisaged. Development of some of these schemes has been made possible with a clear understanding of the underlying spin physics based on bimodal Floquet theory. The utility of these high-resolution pulse schemes in combination with MAS has been demonstrated for spinning speeds of 10–65 kHz in a range of ¹H Larmor frequencies from 300 to 800 MHz.     

Orientational information from TEDOR spectral sidebands.

In a dipolar-coupled spin-1/2 network of the type 15N1-(13)C-15N2, an assessment of the sensitivity of the N --> C and C --> N TEDOR sideband intensities to the Euler angles defining the orientation of the two heteronuclear dipolar vectors in the 13C and 15N chemical shift (CS) tensor principal axes system has been carried out via numerical calculations. The results clearly indicate the potential of TEDOR MAS NMR spectroscopy for the characterization of the CS tensor orientation in the molecular frame. The efficacy of the method has been experimentally illustrated by TEDOR studies on a polycrystalline sample of [1, 3-(15)N2, 2-(13)C]uracil, which is one of the four bases in RNA.     

稀土长期毒性对大鼠体液的1H NMR研究

采用现代核磁共振技术,通过分析灌胃给药0.2,2.0,10,20mg/kg剂量的La(NO₃)₃6个月后大鼠血清中某些内源性化合物的变化研究了稀土化合物在动物体内的作用情况及长期毒性,同时对各剂量组三个月后大鼠尿液的¹H NMR谱图进行了分析,并通过血液中一些重要生化指标的测定对结果进行了验证.体液中氨基酸、乳酸、N-氧三甲胺、3羟丁酸、葡萄糖、尿素、柠檬酸等重要内源化合物的核磁共振谱峰发生了明显的变化,意味着动物体内的代谢出现异常.结果表明高剂量稀土的引入可能使动物肾脏和肝脏均受到损害,且受损程度随稀土剂量的增高而渐趋严重。     

An approximate method of sideband intensity calculation in magic angle spinning NMR

A theory of sideband intensity is derived by expanding into a Taylor series the free induction decay observed under magic angle spinning (MAS). According to this procedure, the free induction decay signal is completely represented by a basis of irreducible tensors from rank zero to rank infinity. After averaging over all orientations, only the zero-order irreducible tensors contribute to the sideband intensities. Symmetry properties of the sidebands can be seen clearly in this expansion and an approximate formula up to ninth order is obtained by truncating the series. Sideband intensities can be calculated rapidly with this formula. The results agree satisfactorily with the exact sideband intensities obtained by numerical simulation if the ratio of the anisotropy to the spinning speed, ω₀δ/ω_r, is smaller than 3. The relationship of the sideband intensities with the moments of a MAS spectrum shows that the proposed method is an alternative to moment analysis when the spinning speed is not very slow. Anisotropic information about the chemical shift anisotropy interaction therefore can be extracted efficiently from experimental spectra by this approximate method.