Elastic and Inelastic Cross Sections for Electron-Hg Scattering from Hg Transport Data

Rockwood, S.D.

doi:10.1103/physreva.8.2348

Cited by 417 publications

(236 citation statements)

References 19 publications

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“…3 compares the present calculated results for the momentum transfer cross section CTM with the experimental data of Nakamura and Lucas (1978) and Elford (1980). The results of Rockwood (1973), derived from the experimental data of McCutchen (1958), are also included. In the swarm experiment by Elford, a low energy resonance was observed at ",0·5 eV.…”

Section: Resultsmentioning

confidence: 99%

“…3, there is agreement between theory and experiment at energies above this resonance position, but the calculations are much larger at low energies. for electrons in mercury with the experimental data of Rockwood (1973), Nakamura and Lucas (1978) and Elford (1980): 1,2, present results using the second-order Dirac potential and the Pauli approximation respectively; W2 , W3 , Walker (1975, personal communication) relativistic exchange and polarization by POM and PPP analyses respectively.…”

Section: Resultsmentioning

confidence: 99%

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Relativistic Effects in Electron Scattering by Atoms. I. Elastic Scattering by Mercury

Lam¹

1980

Aust. J. Phys.

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Elastic scattering of electrons in the energy range 0-25 eV by mercury atoms is investigated by applying a perturbation method to the (nonrelativistic) Schrodinger equation. Relativistic correction to the potential is treated using two models: a Pauli approximation and a second-order Dirac potential. The nonrelativistic Hartree-Fock wavefunction is used to describe the target in the zeroth order approximation. Electron exchange is found to be important in the collision. The relativistic correction due to mass variation makes a significant contribution, in particular to p-wave scattering which is dominated by a low energy shape resonance. Phase shifts for s-, p-, d-and f-wave scattering are presented. An analytic expression for the momentum transfer cross section for relativistic scattering is obtained. The total cross section, momentum transfer cross section, differential cross section and spin polarization are calculated and compared with experiment.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Relativistic Effects in Electron Scattering by Atoms. I. Elastic Scattering by Mercury

Lam¹

1980

Aust. J. Phys.

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“…For instance, in the examples discussed above, there is no case where the electron energy distribution function above the inelastic collision threshold is affected by numerical relaxation. We note that the problem of estimating this physical relaxation time arises also in the context of deciding whether Coulomb collisions should be considered or not, and discussions on that topic are useful [8,30,51,52]. Various formulae for estimating the rate of relaxation of a distribution function due to Coulomb collisions are also available [4].…”

Section: Discussionmentioning

confidence: 99%

“…As an economy, we considered only electron-electron collisions. Electronion and ion-ion collisions are unlikely to be of significance under the conditions considered below [30].…”

Section: Examplesmentioning

confidence: 99%

Kinetic properties of particle-in-cell simulations compromised by Monte Carlo collisions

Turner

2006

Physics of Plasmas

103

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The particle-in-cell method with Monte Carlo collisions is frequently employed when a detailed kinetic simulation of a weakly collisional plasma is required. In such cases, one usually desires, inter alia, an accurate calculation of the particle distribution functions in velocity space. However, velocity space diffusion affects most, perhaps all, kinetic simulations to some degree, leading to numerical thermalization, and consequently distortion of the velocity distribution functions, among other undesirable effects. The rate of such thermalization can be considered a figure of merit for kinetic simulations. This paper shows that, contrary to previous assumption, the addition of Monte Carlo collisions to a one-dimensional particle-in-cell simulation seriously degrades certain properties of the simulation. In particular, the thermalization time can be reduced by as much as three orders of magnitude. This effect makes obtaining a strictly converged simulation results difficult in many cases of practical interest. * Electronic address: miles.turner@dcu.ie

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“…Electron transport coefficients and electron impact rate coefficients in the bulk plasma (where the reduced electric field (E/N) is relatively low) are obtained from electron energy distributions (EEDs) calculated using a two-term spherical harmonic expansion of Boltzmann's equation [21]. The EEDs of beam-like secondary electrons emitted from the cathode and accelerated through the cathode fall are calculated using an electron Monte Carlo simulation.…”

Section: Description Of Modelmentioning

confidence: 99%

Microdischarges for use as microthrusters: modelling and scaling

Arakoni¹,

Ewing²,

Kushner³

2008

J. Phys. D: Appl. Phys.

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Microsatellites with masses of tens of kilograms require only hundreds of micronewtons of thrust for station keeping and attitude control. Microdischarges (MDs) offer a compact way of generating such thrusts without using complex propulsion systems. In this paper, results from computational investigations of MDs sustained in Ar with tens of Torr back pressure are discussed with emphasis on conversion of discharge power into gas heating which can then be expanded in a nozzle to generate thrust. Typical cylindrical geometries have diameters of a few hundred micrometres and lengths of a few millimetres. We found that the gas temperature can exceed 1000 K for power densities of tens of kilowatts per cubic centimetre at back (upstream) pressures of tens of Torr. The nozzle length and location of the discharge in the MD channel are important from a gas dynamics viewpoint and so influence the incremental thrust (above that of the cold flow). Confining the discharge in the nozzle typically increases the peak gas temperature and the flow velocity, thereby potentially improving the performance of a MD used as a microthruster.

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Elastic and Inelastic Cross Sections for Electron-Hg Scattering from Hg Transport Data

Cited by 417 publications

References 19 publications

Relativistic Effects in Electron Scattering by Atoms. I. Elastic Scattering by Mercury

Relativistic Effects in Electron Scattering by Atoms. I. Elastic Scattering by Mercury

Kinetic properties of particle-in-cell simulations compromised by Monte Carlo collisions

Microdischarges for use as microthrusters: modelling and scaling

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