Molecular polarizabilities and induced dipole moments in molecular mechanics

Molecular polarizabilities may be divided into either atomic contributions or bond contributions. The common way to estimate molecular polarizabilities is to assign atomic or bond parameters for each atom or bond type to fit experimental or quantum mechanical results. In this study we have taken a different approach. A general formula based on MM3 force constants and bond lengths was used to compute bond polarizabilities and molecular polarizabilities. New parameters for polarizabilities are not required. A fair agreement between experimental and computed molecular polarizabilities was obtained, with a RMS deviation of 0.82 ų (11.7%) and signed average error of 0.01 ų for a broad selection of 57 molecules studied. Two methods, the many‐body interaction and the pair‐interaction approaches, have been used to study induced dipole moments using the bond polarizabilities estimated from the new formula. The pair‐interaction approximation, which involves much less computation than the many‐body interaction approach, gives a satisfactory representation of induced dipole interaction. © 2000 John Wiley & Sons, Inc. J Comput Chem 21: 813–825, 2000     

Helium atom inside boxes with paraboloidal walls

The ground-state energy of the helium atom inside boxes with paraboloidal walls, with the nucleus at the common focus, is calculated variationally. The variational functions are products of geometry-adapted hydrogenic functions, and the interelectronic Coulomb repulsion is represented through its harmonic expansion in parabolic coordinates. The energy, pressure, quadrupole moment, and polarizability of the atom are determined as functions of the positions of the walls for symmetrical boxes. © 1998 John Wiley & Sons, Inc. Int J Quant Chem 66 : 123–130, 1998     

Correction of Relativistic Center-of-Mass Vector on Electric Polarizability of Pion Meson

We estimate the correction of relativistic center-of-mass vector on electric polarizability of an equal-mass quark-antiquark system numerically. Effect on the system confined by different interactive potentials is analysed. A great improvement for the electric polarizability of pion meson is obtained.     

Accurate parametrized variational calculations of the molecular electronic polarizability by NDDO‐based methods

The variational method for the calculation of the electronic polarizability of molecules within the NDDO‐based semiempirical MO methods MNDO, AM1, and PM3 was parametrized to improve its accuracy. A training set of 156 compounds was used to fit 34 parameters simultaneously for 12 elements using a simplex optimization. The resulting parameters were tested for a test set of 83 molecules and the calculated polarizabilities compared with the experimental data. For AM1, the RMS deviation between experimental and calculated polarizabilities was reduced from 2.99 (using the original variational treatment) to 0.70 ų for the test set and from 2.81 to 0.40 ų for the training set. MNDO and PM3 gave similar improvements. ©1999 John Wiley & Sons, Inc. Int J Quant Chem 75: 17–31, 1999     

平面波照射下无限大导体板上周期孔阵屏蔽效能的解析研究

本文针对平面电磁波对无限大导体平板上周期孔阵的透射问题,首先用Bethe小孔理论将孔阵表示成偶极子阵列,然后用平均化处理得到均匀的等效磁化/极化强度,进而引入等效面源导出透射电磁波表达式,最终给出了孔阵对平面电磁波屏蔽效能的解析公式.该公式分别针对横电和横磁两种极化方式,将屏蔽效能表示成孔阵周期面积、孔的极化系数、波长和入射角的简单函数,其计算结果与全波仿真结果一致性好.结果表明,透射场强的幅值与孔极化系数和波频率成正比,与周期面积成反比;在横电极化方式,波频率和周期面积不变的情况下,透射场强的幅值与入射角的余弦值成正比,入射角越大屏蔽效能越高;在横磁极化方式下,透射场强幅值与入射角的关系相对复杂,但在入射角较小时与入射角的余弦值近似成反比,总体上入射角越大屏蔽效果越低.     

Dipole polarizability,structure, and stability of [2+2]-linked fullerene nanostructures (C60)n (n≤7)

In the present work, structural features, dipole polarizability, and stability of two most promising oligomeric series (C₆₀)_n with zigzag and linear arrangement of the fullerene cages have been studied by the PBE/3ζ density functional theory method. Their mean polarizabilities and polarizability exaltations are linearly correlated with the molecular size (maximal intercage distance). Linear (C₆₀)_n have higher polarizability than zigzag oligomers with the same n. Based on the example of hexamers (C₆₀)₆, we have shown that connectivity (number of connections) has no effect on the resulting polarizability but maximal remoteness does, i.e. the geometric factor is more decisive for mean polarizability of such fullerene nanostructures. Stability of (C₆₀)_n decreases with growing molecular size for linear structures and slowly increases in the case of zigzag (C₆₀)_n. The found dependences of polarizability and stability on the molecular size may be used for assessing these parameters of larger fullerene nanostructures, hardly computable with quantum chemical methods.     

甲基紫分子拉曼激发虚态的研究

从拉曼峰强入手,求得了甲基紫分子的“时间分辨键极化率”,并与第一原理计算的基态电子密度做对比,讨论了该分子的激发拉曼虚态的性质.研究结果表明,该分子的拉曼激发虚态中电子向分子外围以及两环之间的键流动,并且拉曼弛豫后的键极化率分布与基态电子的密度分布相似.通过研究键极化率的弛豫过程,发现连接两环的键上的键极化率弛豫时间较其他键大.这些结果说明了甲基紫这类双环分子拉曼激发虚态的性质,这对于研究拉曼散射的中间态具有一定意义. 关键词： 拉曼峰强 时间分辨键极化率 弛豫特征时间     

利用DDA方法计算大气气溶胶粒子光学特性

大气气溶胶是大气的重要组成部分,其光学特性是研究大气辐射传输特性的重要参量。本文基于DDA方法,对不同形状气溶胶粒子的光学特性进行计算,得到气溶胶粒子的消光因子、吸收因子随波长变化的数值结果。结合Muller散射矩阵,给出了气溶胶粒子散射强度和极化度的角分布,为研究大气辐射传输提供了有效的方法。     

A Rational Design of Catechol‐Based Compounds: An Experimental and Theoretical Study of Optical Properties

Finely tuned optical properties : The optical properties of substituted protected catechol derivatives can be fine‐tuned (see scheme; TBDMS=tert‐butyldimethylsilyloxy). The DFT‐calculated polarisabilities are compared with experimental data.

     

Correlation between optical constants and crystal chemical parameters of ZrW2O8

The refractive indices of ZrW₂O₈, measured at wavelengths of 435.8-643.8 nm, were used to calculate n_D at λ=589.3 nm and n_∞ at λ=∞ from a one-term Sellmeier equation. Refractive indices, n_D and dispersion values, A, are, respectively, 1.8794 and 114×10⁻¹⁶ m². The high dispersion, relative to other molybdates, tungstates and Zr-containing compounds, is attributed to the low value of E_o=7.7 eV and mean cation coordination number. Total electronic polarizabilities, α_total, were calculated from n_∞ and the Lorenz-Lorentz equation. The unusually large difference between the observed polarizability of 20.087 Å³ and the calculated total polarizability α_T of 17.59 Å³ (Δ=+12.4%) is attributed to (1) a large M-O-W angle, (2) a high degree of W 5d-O_(terminal) 2p and Zr nd-O 2p hybridization, and (3) unusually high oxygen displacement factors, B(O), normalized to B(W).