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Robert H. Cole

Bio: Robert H. Cole is an academic researcher from Columbia University. The author has contributed to research in topics: Dielectric & Dipole. The author has an hindex of 19, co-authored 26 publications receiving 10077 citations.

Papers
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Journal ArticleDOI
TL;DR: In this article, the spectral properties of pure HCl and HCl-SF6 mixtures were taken in the range 350 to 520 cm−1, and of HBr, HBr-CF4, HCl−SF6, and HBr−CF4 mixtures, and clearly defined peaks were observed at frequencies in these regions for the ΔJ=2 selection rule.
Abstract: Spectra of pure HCl and HCl–SF6 mixtures were taken in the range 350 to 520 cm−1, and of HBr, HBr–SF6, HBr–CF4 in the range 310 to 470 cm−1. For the mixtures, clearly defined peaks are observed at frequencies in these regions for the ΔJ=2 selection rule of quadrupole‐induced dipole absorption, direct dipole intensities being much weaker. Calculated molecular quadrupole moments from integrated intensities are QHCl=5.8×10−26 esu·cm2 and QHBr=5.5×10−26 esu·cm2.

19 citations

Journal ArticleDOI
TL;DR: The theory of dielectric constant for permanent dipoles was extended to third-order interactions with induced polarization represented by harmonic oscillators by Van Vleck and others in this article, which is carried out by a high-temperature expansion of the partition function in powers of dipole coupling energy.
Abstract: The theory of the dielectric constant previously developed by Van Vleck and others for permanent dipoles is extended to third‐order interactions with inclusion of induced polarization represented by harmonic oscillators. This is carried out by a high‐temperature expansion of the partition function in powers of dipole coupling energy.Third‐order interaction terms are of the triangle and shuttle forms found by Rosenberg and Lax for permanent dipoles, but for induced moment contributions only the triangle interaction sum is involved. For neither type of term can agreement with Onsager's model be secured in any reasonable way.Kirkwood's treatment of long‐range interactions is shown to be consistent with the series expansion results if short‐range correlations are properly evaluated, but the results of this evaluation depend on molecular distributions.

11 citations

Journal ArticleDOI
TL;DR: In this article, a simple method is described in which capillary flow is measured by the exponential decay of capacitance difference of gases in two reservoirs connected to the ends of the capillary and viscosity is determined from the time constant.
Abstract: A simple method is described in which capillary flow is measured by the exponential decay of capacitance difference of gases in two reservoirs connected to the ends of the capillary and viscosity is determined from the time constant. Results for Ar, CH3F, CHF3, and CH3CF3 in the temperature range 20–150°C are given, together with 12–6 potential parameters derived using the theory of Monchick and Mason. These parameters for the polar gases are believed to give a much better description of the central forces than parameters derived from pressure virial coefficients.

10 citations

Journal ArticleDOI
TL;DR: In this paper, the transition moments and absorption resulting from the electric moment induced in one molecule of a pair by the field of the quadrupole moments of a neighbor with axial or near axial symmetry are derived.
Abstract: Expressions are derived for the transition moments and absorption resulting from the electric moment induced in one molecule of a pair by the field of the quadrupole moments of a neighbor with axial or near axial symmetry. Values of relevant matrix elements of squares and products of direction cosines are included. For axial polar molecules, the infrared absorption has a different frequency dependence than that by permanent dipoles, permitting separation of the effects. For asymmetric rotors with nearly axial inertial symmetry, the absorption transitions with ΔK=0 are associated with one of the two quadrupole moments and transitions with ΔK=±2 with the other, again permitting spectral resolution of the different contributions. These possibilities are analyzed in some detail for the polar molecules CH3F and CHF3 and for the asymmetric rotor C2H4.

8 citations


Cited by
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Journal ArticleDOI
TL;DR: This paper presents a meta-modelling procedure called "Continuum Methods within MD and MC Simulations 3072", which automates the very labor-intensive and therefore time-heavy and expensive process of integrating discrete and continuous components into a discrete-time model.
Abstract: 6.2.2. Definition of Effective Properties 3064 6.3. Response Properties to Magnetic Fields 3066 6.3.1. Nuclear Shielding 3066 6.3.2. Indirect Spin−Spin Coupling 3067 6.3.3. EPR Parameters 3068 6.4. Properties of Chiral Systems 3069 6.4.1. Electronic Circular Dichroism (ECD) 3069 6.4.2. Optical Rotation (OR) 3069 6.4.3. VCD and VROA 3070 7. Continuum and Discrete Models 3071 7.1. Continuum Methods within MD and MC Simulations 3072

13,286 citations

Journal ArticleDOI
TL;DR: In this paper, the locus of the dielectric constant in the complex plane was defined to be a circular arc with end points on the axis of reals and center below this axis.
Abstract: The dispersion and absorption of a considerable number of liquid and dielectrics are represented by the empirical formula e*−e∞=(e0−e∞)/[1+(iωτ0)1−α]. In this equation, e* is the complex dielectric constant, e0 and e∞ are the ``static'' and ``infinite frequency'' dielectric constants, ω=2π times the frequency, and τ0 is a generalized relaxation time. The parameter α can assume values between 0 and 1, the former value giving the result of Debye for polar dielectrics. The expression (1) requires that the locus of the dielectric constant in the complex plane be a circular arc with end points on the axis of reals and center below this axis.If a distribution of relaxation times is assumed to account for Eq. (1), it is possible to calculate the necessary distribution function by the method of Fuoss and Kirkwood. It is, however, difficult to understand the physical significance of this formal result.If a dielectric satisfying Eq. (1) is represented by a three‐element electrical circuit, the mechanism responsible...

8,409 citations

Journal ArticleDOI
TL;DR: Fractional kinetic equations of the diffusion, diffusion-advection, and Fokker-Planck type are presented as a useful approach for the description of transport dynamics in complex systems which are governed by anomalous diffusion and non-exponential relaxation patterns.

7,412 citations

Journal ArticleDOI
TL;DR: In this article, it was shown that the electrical double-layer at a solid electrode does not in general behave as a pure capacitance but rather as an impedance displaying a frequency-independent phase angle different from 90°.

2,602 citations

Journal ArticleDOI
S. Havriliak1, S. Negami1
01 Jan 1967-Polymer
TL;DR: In this paper, it was shown that the complex deformation of the same data can be represented by a function of same form but with different values for the constants, which can be interpreted as the decay of the distortion with time of the removal of stress field.

2,483 citations