Polarizability of two conducting spheres

Exact series expressions are obtained for the longitudinal and transverse polarizabilities of a system of two conducting spheres, for arbitrary sphere radii and separation. In the important case of close approach, where the exact series converge slowly, approximate analytical expressions are obtained. These analytical expressions become more accurate as the distance between the spheres gets small compared to the sphere radii, and reduce to the known analytic values at sphere contact.     

Polarizability of two parallel conducting circular cylinders

We give exact results for the polarizabilities, longitudinal and transverse, of two parallel cylinders of the same radius. The expressions are infinite sums, which converge rapidly if the cylinders are separated by a radius or more. In close approach the sums converge slowly, but are replaced by equivalent integral expressions, which give simple analytical results in this limit. The contact values of the longitudinal and transverse polarizabilities are π²/6 and π²/12 times the large-separation values. The longitudinal contact value is approached infinitely rapidly as the separation tends to zero, while the approach of the transverse polarizability to its contact value is regular.     

Polarizability of a chiral coil element

Expressions are derived for electric, magnetic, and cross polarizability components of a metal conductor section wound in rings and forming a coil. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 48–55, June, 2006.     

Polarizability of nonpolar atoms and molecules in a medium

We obtain relations between the dielectric permittivity and the density of monatomic and polyatomic nonpolar dielectrics in the gas and liquid states. The relations lead to a constant value of the polarizability of atoms and molecules over a wide range of the state parameters.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 63–67, April, 1988.     

Dynamic Polarizability of a Negatively Charged Hydrogen Ion

Optics and Spectroscopy - The dynamic polarizability of a negatively charged hydrogen ion is calculated using a correlation-consistent basis set with high diffuseness. The obtained results are...     

Polarizability of alkali atoms

The scalar and tensor components of static polarizability of alkali atoms Na, K, and Rb were calculated. The results were compared with available theoretical and experimental data.     

Polarizability of a metal rod and wave resistance of a symmetric vibrator

Results of calculations of polarizability of a metal rod by various approximation methods, numerical solution of an integral equation, and polarizability measurement by the resonator method are presented. Methods of calculations of the wave resistance of a symmetric vibrator are examined, and a method of estimating the wave resistance for small ratios of the vibrator length to its diameter is suggested. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 40–46, March, 2006.     

Polarizability of helium and gas metrology

Using a quasispherical, microwave cavity resonator, we measured the refractive index of helium to deduce its molar polarizability A(epsilon) in the limit of zero density. We obtained (A(epsilon,meas) - A(epsilon,theory))/A(epsilon) = (-1.8 +/- 9.1) x 10(-6), where the standard uncertainty (9.1 ppm) is a factor of 3.3 smaller than that of the best previous measurement. If the theoretical value of A(epsilon) is accepted, these data determine a value for the Boltzmann constant that is only 1.8 +/- 9.1 ppm larger than the accepted value. Our techniques will enable a helium-based pressure standard and measurements of thermodynamic temperatures.     

Polarizability of gyrotropic sphere

The polarizability of gyrotropic spheres is studied in this short article. Gyrotropic media are anisotropic in two respects: the symmetric part of the permittivity dyadic is uniaxial, and furthermore, there is also antisymmetric part in the permittivity. The polarizability is also dyadic with its components depending on the relations of the permittivity components of the material.     

Polarizability of a hydrogenic donor impurity in a ridge quantum wire

We use in this paper the variational method to calculate the polarizability of a hydrogenic donor impurity, in the presence of electric field, in a V-groove GaAs/Al_xGa_1−xAs quantum wire. The carrier ground states are analytically obtained by an effective potential scheme together with a suitable coordinate transformation that allows the decoupling of the two-dimensional Schrodinger equation. According to the results obtained from the present work for polarizability and binding energy reveals that the impurity position and field direction play important roles.     

Relativistic Center-of-Mass Vector and Electric Polarizability of a Charged Pion Meson

Comparing the relativistic and nonrelativistic frame works, we study the effect of the relativistic center-of-mass vector on the electric polarizability of a compound system.     

Polarizability of shallow donors in EuSe

Permittivity measurements at a microwave frequency 24 GHz have been made on n-type EuSe at low temperatures 4.2–77 K after various annealing times. Consideration of different models for annealing dependent permittivity leads to the polarizability of Se vacancy defects as the most likely explanation. Donor polarizability $\text{α}{}_{\mathrm{d}}\text{= 3.2 × 10}{}^6\text{A}\text{?}{}^3$is found and further an estimation for electron effective mass $\text{m}{}^1\text{= 0.28m}{}_0$.     

Polarizability effects in electronic and muonic atoms

Zeitschrift für Physik A Hadrons and nuclei - TheS state polarizability shifts are derived from the virtual forward Compton scattering in the unretarded dipole approximation. In the...     

共轭烯烃的共轭极化势

从共轭极化出发 ,以共轭极化过程的双极态静电能的平均值与非极态静电能的差值作为共轭极化势(CPP) .用共轭极化势与共轭烯烃紫外吸收最大波长的能量相关 ,用量子化学从头计算得到的前线轨道能量与其紫外吸收最大波长的能量进行相关 ,得到前者与后者相近的结果 .进一步以有效极化效应PEI(ef)来定量烷基极化效应对共轭烯烃双极态的稳定作用 ,并以CPP和PEI(ef)两个变量与共轭烯烃紫外吸收最大波长的能量相关 ,得到具有良好预测能力的定量方程 :ν =1.174 6 +5 .0 187CPP - 0 .4 32 0 4PEI(ef) ,R =0 .9995 ,s =0 .0 4 0 3,F =10 85 3.2 8,n =2 3研究结果还表明 ,依靠增加取代基数量的方法来降低紫外吸收能量不及增加共轭链的长度有效 .     

Calculation of the electrostatic capacitance of a system of wires of circular, elliptic, and rectangular cross section in the presence of conducting plane

A method is proposed for calculation of the capacitances of a system of infinitely long wires of circular, elliptic, and rectangular cross section in the presence of conducting plane. The method is based on exact construction of the electrostatic field potential. An algorithm for obtaining approximate calculation formulas is provided. Several particular cases are considered.     

Polarizability of truncated spheroidal particles supported by a substrate: model and applications

The light scattering by three-dimensional clusters supported by a substrate is modelled by representing clusters by truncated spheroids whose polarizability is calculated via a multipolar development of the potential in the quasi-static limit. The determination of the mean island radius, density and aspect ratio from the optical response is examined. The strong influence of both the particle-substrate interaction and the particle shape on the optical behaviour is demonstrated, showing the limits of effective medium and dipolar theories. The Surface Differential Reflectance spectra of silver on MgO(100) and titanium or aluminium on α-Al₂O₃(0001) surfaces have then been modelled by using the above model, illustrating the capability of optical means to deal with various metals, including those belonging to transition series. In all cases, it is highlighted that the aspect ratio is central in modelling the optical response of supported particles. Received 5 June 2000 and Received in final form 31 July 2001     

椭圆柱形电容器的电容

利用复数坐标系z平面上的儒阔夫斯基变换,计算出横截面为椭圆的柱形电容器的电容,并对结果作了讨论。     

Polarizability of molecules on their vibrational excitation

Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 53, No. 5, pp. 793–800, November, 1990.     

On the Polarizability of a Cluster of Interacting Particles in Polarization Radiation

Physics of Atomic Nuclei - The study considers diffraction radiation, which is excited when an electron moves near a cluster of two interacting subwavelength particles. The interaction is...