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Volumn 53, Issue 2, 1996, Pages 1852-1863

Cathode-fall development in low-pressure, parallel-plane hydrogen discharges

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0041805873     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.1852     Document Type: Article
Times cited : (8)

References (96)
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    • The terminology breakdown voltage is defined as the minimum voltage required for the ``catastrophic'' growth of current when the current of initiating electrons approaches zero citeDRU40. Here and throughout this paper we use the term ``breakdown voltage'' interchangeably with its equivalent, the ``zero current, discharge maintenance voltage.'' This voltage can be obtained by extrapolating discharge voltages, such as that shown in Fig. refvidat, to zero current.
    • The terminology breakdown voltage is defined as the minimum voltage required for the ``catastrophic'' growth of current when the current of initiating electrons approaches zero citeDRU40. Here and throughout this paper we use the term ``breakdown voltage'' interchangeably with its equivalent, the ``zero current, discharge maintenance voltage.'' This voltage can be obtained by extrapolating discharge voltages, such as that shown in Fig. refvidat, to zero current.
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    • and unpublished. L. C. Pitchford has pointed out that the capacitance between the electrodes should have been given as 4 pF rather than 40 pF. The circuit capacitance is then about 60 times the electrode capacitance.
    • and unpublished. L. C. Pitchford has pointed out that the capacitance between the electrodes should have been given as 4 pF rather than 40 pF. The circuit capacitance is then about 60 times the electrode capacitance.
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    • Although not applied to Hsub 2, other models invoking lateral diffusion loss have recently been published.
    • Although not applied to Hsub 2, other models invoking lateral diffusion loss have recently been published.
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    • Note that for the only available set of correlated voltage, current, and emission data for 3 Torr ,cm, the current calculated from difference between the applied voltage and the discharge voltage and the series resistance [Formula Presented] is not equal to the recorded discharge current at times when the current being discharged by the circuit capacitance [Formula Presented] is small. We have obtained consistency among the data for Figs. 4(a) and 4(b) by scaling the recorded current values by 2/3. Support for this correction is that then the quasi steady state voltage and current values are consistent with the large amount of data shown in Fig. refvidat. Note that, although this excess measured current could be caused by current leakage along the quartz wall, there was no comparable current present prior to the pulse at the much higher voltages used at lower pressures. This correction was not required for the data of Fig. reftran3T.
    • Note that for the only available set of correlated voltage, current, and emission data for 3 Torr ,cm, the current calculated from difference between the applied voltage and the discharge voltage and the series resistance R2 is not equal to the recorded discharge current at times when the current being discharged by the circuit capacitance Cd is small. We have obtained consistency among the data for Figs. 4(a) and 4(b) by scaling the recorded current values by 2/3. Support for this correction is that then the quasi steady state voltage and current values are consistent with the large amount of data shown in Fig. refvidat. Note that, although this excess measured current could be caused by current leakage along the quartz wall, there was no comparable current present prior to the pulse at the much higher voltages used at lower pressures. This correction was not required for the data of Fig. reftran3T.
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    • Spatial scans are also made with an interference filter peaking near 380 nm in an unconvincing attempt to observe the [Formula Presented] (G [Formula Presented] [Formula Presented] B [Formula Presented] [Formula Presented]) band emission. This band is clearly observed in our spectral scans using a monochromator resolution approx 1 nm, but our use of broadband (approx 20 nm) interference filters makes the signal from the uv continuum much stronger relative to the signal from other spectral features than is the case when using the monochromator. See H. M. Crosswhite, The Hydrogen Molecule Wavelength Tables of G. H. Dieke (Wiley, New York, 1972), Chap. 1.
    • Spatial scans are also made with an interference filter peaking near 380 nm in an unconvincing attempt to observe the H2 (G Σ1 →g+ B Σ1 u+) band emission. This band is clearly observed in our spectral scans using a monochromator resolution approx 1 nm, but our use of broadband (approx 20 nm) interference filters makes the signal from the uv continuum much stronger relative to the signal from other spectral features than is the case when using the monochromator. See H. M. Crosswhite, The Hydrogen Molecule Wavelength Tables of G. H. Dieke (Wiley, New York, 1972), Chap. 1.
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    • It should be noted that almost all previous determinations of the thickness of the cathode fall appear to be visual estimates using either direct observation or photographic recording of emission. The distance is that from the cathode to the apparent end of the dark region extending from the cathode toward the anode citeDRU40,FRA56,GUN28. Given the uncertainties involved in defining this dimension brought out by the present paper for hydrogen and by Ref. citeROZ95 for argon, we have taken the thickness of the cathode fall as the distance to the peak of emission in the cathode glow region. The variations of the spatial distribution with spectral feature make this dimension a poor choice for comparison of models with the older data.
    • It should be noted that almost all previous determinations of the thickness of the cathode fall appear to be visual estimates using either direct observation or photographic recording of emission. The distance is that from the cathode to the apparent end of the dark region extending from the cathode toward the anode citeDRU40,FRA56,GUN28. Given the uncertainties involved in defining this dimension brought out by the present paper for hydrogen and by Ref. citeROZ95 for argon, we have taken the thickness of the cathode fall as the distance to the peak of emission in the cathode glow region. The variations of the spatial distribution with spectral feature make this dimension a poor choice for comparison of models with the older data.


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