The Townsend Ionization Coefficients in Crossed Electric and Magnetic Fields

Blevin, H. A.; Haydon, S. C.

doi:10.1071/ph580018

Cited by 74 publications

(29 citation statements)

References 10 publications

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“…The validity of the equivalent-pressure concept for molecular hydrogen has been tested by direct comparison of measured values of the primary ionization coefficient alp in Ex B fields with those values predicted on the basis of the increase in gas pressure mentioned above (Blevin and Haydon 1958a;Haydon andRobertson 1961a, 1963;Bernstein 1962). A constant value of v = 2·5 X 10 9 p S-l was found to fit the observations over the limited range of values of E/p and B/p examined (Haydon and Robertson 1963).…”

Section: Introductionmentioning

confidence: 99%

Pre-breakdown Ionization in Molecular Nitrogen in E x B Fields

Bagnall¹,

Haydon²

1965

Aust. J. Phys.

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SummaryPre-breakdown ionization measurements in molecular nitrogen are examined to establish whether the influence of a transverse magnetic field is equivalent to an increase in the gas pressure from p to Pe = p(l+w 2 /v 2 )<, where w is the electron cyclotron frequency, and v is a constant, effective, electron-molecule collision frequency. When the value of E/Pe lies within the range 150 < E/P e < 250 V cm-1 torr-I, v has a constant value equal to 8·3 X 10·p s-" but when E/P e < 150, vip must decrease with decreasing E/P e for satisfactory agreement to be maintained. The possibility of extending the concept to account for the changes in secondary ionization and the breakdown potential in nitrogen are also discussed.

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Section: Introductionmentioning

confidence: 99%

Pre-breakdown Ionization in Molecular Nitrogen in E x B Fields

Bagnall¹,

Haydon²

1965

Aust. J. Phys.

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“…In order to model the dependence of the ionization coefficient on the electric field in the axial magnetic field, let us introduce the notion of effective ionization rate in magnetic field [12] and define the effective field strength E eff as the radial field component E r divided by factor 1 + χ 2 e :…”

Section: Breakdown In the Presence Of Magnetic Fieldmentioning

confidence: 99%

“…In contrast to earlier investigations of discharge in a transverse magnetic field [13,15,16], where the effective field strength E eff was used to determine the Townsend coefficient α T , relation (3) defines the effective ionization rate in magnetic field [12]. The effective breakdown condition and the corresponding Townsend coefficient are as follows:…”

Section: Breakdown In the Presence Of Magnetic Fieldmentioning

confidence: 99%

“…Transport coefficients of charged-particle swarms in gases under the influence of electric and magnetic fields crossed at arbitrary angles were calculated in [11]. Discharge in crossed electric and magnetic fields obeys the principle of equivalent pressure with respect to the ionization rate [12] and the principle of equivalent reducedelectric field for the Townsend ionization coefficient [13,14]. The influence of transverse magnetic field on the second Townsend coefficient and the effective electrode gap principle related to confinement of the transverse size of electron avalanche by discharge tube walls were considered in [15,16].…”

Section: Introductionmentioning

confidence: 99%

“…The influence of transverse magnetic field on the second Townsend coefficient and the effective electrode gap principle related to confinement of the transverse size of electron avalanche by discharge tube walls were considered in [15,16]. The present investigation follows the approach outlined by Blevin and Haydon [12]. Figure 1 shows a schematic diagram of the experimental setup.…”

Section: Introductionmentioning

confidence: 99%

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Experiment and Numerical Simulation of Peculiarities in the Development of Helium DC Discharge in Reflex Geometry

Samokhin

Gavrikov

Liziakin

et al. 2016

Plasma and Fusion Research

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Reflex discharge has a large number of applications. However, there is no analytical formula allowing for the specified geometry to calculate the current or spatial characteristics of the discharge a priori. To do this, we create two-component model of the discharge in a diffusion-drift approximation in a magnetic field. The conditions of breakdown have been investigated in the framework of the Townsend mechanism. Current-voltage (I-V) characteristics, temporal variation of the discharge current and average ion density, and spatial distributions of ions and electrons have been calculated. I-V discharge characteristics in the absence of magnetic field have been measured. Experiments have been carried out in the discharge with a cylindrical anode with a length of 180 cm, diameter of 90 cm and a flat circular cathode with a diameter of 4 cm. The dependence of discharge current on the applied magnetic field has been determined. The dependence of steady-state discharge current on the order of electric and magnetic field switching has been studied. Comparison of theory with experiment provides qualitative agreement and it confirms the adequacy of the created model.

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Die Elektronenkinetik des schwachionisierten LORENTZ‐Plasmas im beliebig zueinander orientierten äußeren elektrischen und magnetischen Feld

Winkler

1972

Contrib Plasma Phys

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Eingegnngen nni 11.8.lQ'lf InhaltsiibersichtDie am der BOLTZMANN-Gleichung mit ZweierstoBintegralen zur Beschreibung elastischer und anregender StGBe der Elektronen mit den Neutralgasatomen folgende Differenzen-Differentialgleichung fur den Isotropteil der Ceschwindigkeitaverteilungsfunktion der Elektronen wird mittels numerischer Methoden far ein anisothermes Neon-Plasma unter homogenen stationaren Bedingungen in einem groBen Wertebereich der ouf den Seutralgaadruck bezogenen elektrischen und magnetischen Feldstiirke mwie fiir verschiedene Winkel zwischen elektrischem und megnetischem Feld gelGt. Mit den ermittelten Verteilungsfunktionen erfolgt gleichzeitig die Berechnung der Komponenten der tensoriellen Beneglichkeit und des tensoriellen Diffusionskoeffizienten, der mittleren kinetischen Elektronenenergie, der StoBfrequenz fur die Anregung der Neutralgrrsetome und der Energieverlustraten der Elektronen. Anhand der E r g e b n h der Berechnung wird der EinfluB der durch dos Magnetfeld bedingten LORENTZ-Kraft auf die Verteilungsfunktion und die Transporteigenschaften der Elektmnen sowie auf die durch die Elektronen bewirkten Energietransformationsmechanismen vom elektrischen Feld zum Neutralgas ausfuhrlich diskutiert.

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The Townsend Ionization Coefficients in Crossed Electric and Magnetic Fields

Cited by 74 publications

References 10 publications

Pre-breakdown Ionization in Molecular Nitrogen in E x B Fields

Pre-breakdown Ionization in Molecular Nitrogen in E x B Fields

Experiment and Numerical Simulation of Peculiarities in the Development of Helium DC Discharge in Reflex Geometry

Die Elektronenkinetik des schwachionisierten LORENTZ‐Plasmas im beliebig zueinander orientierten äußeren elektrischen und magnetischen Feld

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