Ratio of the Diffusion Coefficient to the Mobility Coefficient for Electrons in He, Ar, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">N</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">H</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">D</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></math>, CO, and C<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">O</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></math> at Low Temperatures and Low <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mfrac><mrow><mi>E</mi></mrow><mrow><mi>p</mi></mrow></mfrac></math>

Roger W. Warren; James H. Parker, Jr

doi:10.1103/PhysRev.128.2661

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Ratio of the Diffusion Coefficient to the Mobility Coefficient for Electrons in He, Ar, $N_{2}$ , $H_{2}$ , $D_{2}$ , CO, and C $O_{2}$ at Low Temperatures and Low $\frac{E}{p}$

Roger W. Warren and James H. Parker, Jr.

Westinghouse Research Laboratories, Pittsburgh, Pennsylvania

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Phys. Rev. 128, 2661 – Published 15 December, 1962

DOI: https://doi.org/10.1103/PhysRev.128.2661

Abstract

$\frac{D}{μ}$ , the ratio of the diffusion coefficient to the mobility coefficient for electrons, has been determined as a function of $\frac{E}{p}$ , the ratio of the electric field to pressure, in He, Ar, $N_{2}$ , $H_{2}$ , $D_{2}$ , CO, and C $O_{2}$ . Special interest is centered on the low-temperature, low- $\frac{E}{p}$ data which are essential for the determination of low-energy elastic and inelastic cross sections. The lowest temperature of operation is either 77°K or the boiling point of the gas being measured, whichever is higher. The lowest $\frac{E}{p}$ value is well within the thermal range where $\frac{D}{μ} = \frac{kT}{e}$ . A careful analysis of the operation of the experimental tube is presented along with a method for removing inconsistencies in the results which arise from a conventional interpretation of the data.

References (27)

A. V. Engel and M. Steenbeck, Elektrische Gasentladungen (Verlag Julius Springer, Berlin, 1932), Vol. II, Chap. 1, p. 95
L. S. Frost and A. V. Phelps (private communication)
L. S. Frost and A. V. Phelps, Bull. Am. Phys. Soc. 5, 371 (1960)
L. G. H. Huxley, Australian J. Phys. 9, 44 (1959 J. Atmos. and Terrest. Phys. 16, 46 (1959)
L. S. Frost and A. V. Phelps, Proceedings of the Fifth International Conference on Ionization Phenomena in Gases, Munich, 1961 (North-Holland Publishing Company, Amsterdam, 1962), Vol. I, p. 192 Phys. Rev. 127, 1621 (1962)
A. G. Engelhardt and A. V. Phelps, Bull. Am. Phys. Soc. 7, 398 (1962)
J. S. Townsend and V. A. Bailey, Phil. Mag. 46, 657 (1923)
J. S. Townsend and V. A. Bailey, Phil. Mag. 44, 1033 (1922)
J. S. Townsend and V. A. Bailey, Phil. Mag. 42, 873 (1921)
R. W. Crompton and D. J. Sutton, Proc. Roy. Soc. (London) A215, 467 (1952)
L. G. H. Huxley, J. Atom. and Terrest. Phys. 16, 46 (1959)
B. I. H. Hall, Australian J. Phys. 8, 468 (1955)
M. F. Skinker and J. V. White, Phil. Mag. 46, 630 (1923)
M. F. Skinker, Phil. Mag. 44, 994 (1922)
R. H. Healey and J. W. Reed, The Behavior of Slow Electrons in Gases (Amalgamated Wireless Limited, Sydney, 1941), Chap. 4, p. 98
L. B. Loeb, Basic Processes in Gaseous Electronics (University of California Press, Berkeley, 1955), Chap. 4
L. G. H. Huxley, Phil. Mag. 30, 396 (1940)
Huxley ([20])
J. S. Townsend, Electricity in Gases (Oxford University Press, London, 1915), Chap. 5
L. G. H. Huxley and R. W. Crompton, Proc. Phys. Soc. (London) B68, 381 (1955)
D. Alpert, in Handbuch der Physik, edited by S. Flügge (Springer-Verlag, Berlin, 1958), Vol. XII, p. 609
D. Alpert, C. G. Matland, and A. O. McCoubrey, Rev. Sci. Instr. 22, 370 (1951)
J. H. Parker, Jr. and R. W. Warren, Rev. Sci. Instr. (to be published)
A. V. Phelps, J. L. Pack, and L. S. Frost, Phys. Rev. 117, 470 (1960) J. L. Pack and A. V. Phelps, ibid. 121, 798 (1961)
J. L. PackA. V. PhelpsWestinghouse Research Laboratories Scientific Paper 62-908-113-P6 (unpublished)
L. S. Frost and A. V. Phelps (private communication)
G. Herzberg, Spectra of Diatomic Molecules (D. Van Nostrand Company, Inc., Princeton, New Jersey, 1950), Appendix

[c1] A. V. Engel and M. Steenbeck, Elektrische Gasentladungen (Verlag Julius Springer, Berlin, 1932), Vol. II, Chap. 1, p. 95

[c2] L. S. Frost and A. V. Phelps (private communication)

[c3] L. S. Frost and A. V. Phelps, Bull. Am. Phys. Soc. 5, 371 (1960)

[c4] L. G. H. Huxley, Australian J. Phys. 9, 44 (1959 J. Atmos. and Terrest. Phys. 16, 46 (1959)

[c5] L. S. Frost and A. V. Phelps, Proceedings of the Fifth International Conference on Ionization Phenomena in Gases, Munich, 1961 (North-Holland Publishing Company, Amsterdam, 1962), Vol. I, p. 192 Phys. Rev. 127, 1621 (1962)

[c6] A. G. Engelhardt and A. V. Phelps, Bull. Am. Phys. Soc. 7, 398 (1962)

[c7] J. S. Townsend and V. A. Bailey, Phil. Mag. 46, 657 (1923)

[c8] J. S. Townsend and V. A. Bailey, Phil. Mag. 44, 1033 (1922)

[c9] J. S. Townsend and V. A. Bailey, Phil. Mag. 42, 873 (1921)

[c10] R. W. Crompton and D. J. Sutton, Proc. Roy. Soc. (London) A215, 467 (1952)

[c11] L. G. H. Huxley, J. Atom. and Terrest. Phys. 16, 46 (1959)

[c12] B. I. H. Hall, Australian J. Phys. 8, 468 (1955)

[c13] M. F. Skinker and J. V. White, Phil. Mag. 46, 630 (1923)

[c14] M. F. Skinker, Phil. Mag. 44, 994 (1922)

[c15] R. H. Healey and J. W. Reed, The Behavior of Slow Electrons in Gases (Amalgamated Wireless Limited, Sydney, 1941), Chap. 4, p. 98

[c16] L. B. Loeb, Basic Processes in Gaseous Electronics (University of California Press, Berkeley, 1955), Chap. 4

[c17] L. G. H. Huxley, Phil. Mag. 30, 396 (1940)

[c18] Huxley ([20])

[c19] J. S. Townsend, Electricity in Gases (Oxford University Press, London, 1915), Chap. 5

[c20] L. G. H. Huxley and R. W. Crompton, Proc. Phys. Soc. (London) B68, 381 (1955)

[c21] D. Alpert, in Handbuch der Physik, edited by S. Flügge (Springer-Verlag, Berlin, 1958), Vol. XII, p. 609

[c22] D. Alpert, C. G. Matland, and A. O. McCoubrey, Rev. Sci. Instr. 22, 370 (1951)

[c23] J. H. Parker, Jr. and R. W. Warren, Rev. Sci. Instr. (to be published)

[c24] A. V. Phelps, J. L. Pack, and L. S. Frost, Phys. Rev. 117, 470 (1960) J. L. Pack and A. V. Phelps, ibid. 121, 798 (1961)

[c25] J. L. PackA. V. PhelpsWestinghouse Research Laboratories Scientific Paper 62-908-113-P6 (unpublished)

[c26] L. S. Frost and A. V. Phelps (private communication)

[c27] G. Herzberg, Spectra of Diatomic Molecules (D. Van Nostrand Company, Inc., Princeton, New Jersey, 1950), Appendix

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Ratio of the Diffusion Coefficient to the Mobility Coefficient for Electrons in He, Ar, $N_{2}$ , $H_{2}$ , $D_{2}$ , CO, and C $O_{2}$ at Low Temperatures and Low $\frac{E}{p}$

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Ratio of the Diffusion Coefficient to the Mobility Coefficient for Electrons in He, Ar, N2, H2, D2, CO, and CO2 at Low Temperatures and Low Ep

Abstract

References (27)

Ratio of the Diffusion Coefficient to the Mobility Coefficient for Electrons in He, Ar, $N_{2}$ , $H_{2}$ , $D_{2}$ , CO, and C $O_{2}$ at Low Temperatures and Low $\frac{E}{p}$