Skip to main content
Log in

One hundred years of the Franck-Hertz experiment

  • Colloquium
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

The 1914 experiment of James Franck and Gustav Hertz provided a graphic demonstration of quantization properties of atoms, thereby laying the foundations of modern atomic physics. This article revisits the experiment on the occasion of its Centenary, compares traditional and modern interpretations, and focuses in particular on the link between microscopic processes, which are governed by the laws of quantum mechanics, and macroscopic phenomena as measured in the laboratory. A goal is to place the physics underlying the operation of the Franck-Hertz experiment within the context of contemporary gaseous electronics, and to that end we reach back even further in time to the 1872 kinetic equation of Ludwig Boltzmann. We also show how the experiment can be modelled using fluid equations and Monte Carlo simulation, and go further to show how non-local effects, resonances and striations in plasmas have much in common with the electron physics in the drift region of the Franck-Hertz experiment.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. L.G.H. Huxley, R.W. Crompton, The Diffusion and Drift of Electrons in Gases (Wiley, New York, 1974)

  2. S.C. Brown, in Gaseous Electronics, edited by M.N. Hirsh, H.J. Oskam (Academic Press, New York, 1978), pp. 1–18

  3. A. Müller, Nature 157, 119 (1946)

    Article  ADS  Google Scholar 

  4. J. Franck, G. Hertz, Verh. Deutsche Phys. Ges. 16, 457 (1914)

    Google Scholar 

  5. R.E. Robson, M. Hildebrandt, R.D. White, Phys. J. 13, 43 (2014)

    Google Scholar 

  6. G. Holst, E. Oosterhuis, Physica 1, 78 (1921)

    Google Scholar 

  7. M.J. Druyvesteyn, Z. Phys. 73, 33 (1932)

    Article  ADS  Google Scholar 

  8. M.J. Druyvesteyn, F.M. Penning, Rev. Mod. Phys. 12, 87 (1940)

    Article  ADS  Google Scholar 

  9. J.G.A. Hölscher, Physica 35, 129 (1967)

    Article  ADS  Google Scholar 

  10. M. Hayashi, J. Phys. D 15, 1411 (1982)

    Article  ADS  Google Scholar 

  11. J. Fletcher, J. Phys. D 18, 221 (1985)

    Article  ADS  Google Scholar 

  12. J. Fletcher, P.H. Purdie, Aust. J. Phys. 40, 383 (1987)

    ADS  Google Scholar 

  13. R.W. Crompton, Adv. Atom. Mol. Opt. Phys. 33, 97 (1994)

    Article  ADS  Google Scholar 

  14. B. Schmidt, K. Berkhan, B. Götz, M. Müller, Phys. Scr. T53, 30 (1994)

    Article  ADS  Google Scholar 

  15. Z.Lj. Petrović, M. Šuvakov, Ž. Nikitović, S. Dujko, O. Šašić, J. Javanović, G. Malović, V. Stojanović, Plasma Sources Sci. Technol. 16, S1 (2007)

    Article  ADS  Google Scholar 

  16. Z.Lj. Petrović, S. Dujko, D. Marić, G. Malović, Ž. Nikitović, O. Šašić, J. Jovanović, V. Stojanović, M. Radmilović-Radenović, J. Phys. D 42, 194002 (2009)

    Article  ADS  Google Scholar 

  17. M. Abria, Annal. Chim. Phys. 7, 462 (1843)

    Google Scholar 

  18. W.R. Grove, Philos. Trans. R. Soc. London 142, 87 (1852)

    Article  Google Scholar 

  19. G.D. Morgan, Nature 172, 542 (1953)

    Article  ADS  Google Scholar 

  20. T. Rùšièka, K. Rohlena, Czech. J. Phys. B 22, 906 (1972)

    Article  ADS  Google Scholar 

  21. K. Rohlena, T. Rùšièka, L. Pekárek, Czech. J. Phys. B 22, 920 (1972)

    Article  ADS  Google Scholar 

  22. L. Pekárek, Sov. Phys. Uspekhi 11, 188 (1968)

    Article  ADS  Google Scholar 

  23. V.I. Kolobov, V.A. Godyak, IEEE Trans. Plasma Sci. 23, 503 (1995)

    Article  ADS  Google Scholar 

  24. Yu.B. Golubovskii, A.Yu. Skoblo, A. Wilke, R.V. Kozakov, J. Behnke, V.O. Nekutchaev, Phys. Rev. E 72, 026414 (2005)

    Article  ADS  Google Scholar 

  25. V.I. Kolobov, J. Phys. D 39, R487 (2006)

    Article  ADS  Google Scholar 

  26. C. Gerthsen, H. Kneser, H. Vogel, Physik (Springer-Verlag, Heidelberg, 1982)

  27. D. Halliday, R. Resnick, J. Walker, Fundamentals of Physics (John Wiley & Sons, 2000)

  28. P. Nicoletopoulos, http://users.skynet.be/P.Nicoletopoulos

  29. J.P. England, M.T. Elford, Aust. J. Phys. 44, 647 (1991)

    Article  ADS  Google Scholar 

  30. R.E. Robson, B. Li, R.D. White, J. Phys. B 33, 507 (2000)

    Article  ADS  Google Scholar 

  31. J. Lemmerich, Aufrecht im Sturm der Zeit: Der Physiker James Franck (GNT, Diepholz, 2007)

  32. F. von Hippel, Phys. Today 63, 41 (2010)

    Article  Google Scholar 

  33. J. Kuczera, Gustav Hertz (Teubner Verlagsgesellschaft, Leipzig, 1985)

  34. James Franck-Gustav Hertz, Die Elektronenstreuversuche, edited by A. Hermann (Ernst Battenberg Verlag, München, 1967)

  35. A.C. Melissinos, in Experiments in Modern Physics (McGraw-Hill, New York, 1966), pp. 8–17

  36. P. Nicoletopoulos, Eur. J. Phys. 23, 533 (2002)

    Article  Google Scholar 

  37. J. Franck, G. Hertz, in Nobel Lectures, Physics (Elsevier Publishing Company, 1965), pp. 1922–1946

  38. M.J. de Vries, 80 Years of Research at the Philips Natuurkundig Laboratorium 1914–1994 (Pallas Publications, Amsterdam, 2005)

  39. Ludwig Boltzmann (1844-1909), edited by I.M. Fasol-Boltzmann, G.L. Fasol (Springer, Wien, New York, 2006)

  40. L. Boltzmann, Wiener Berichte 66, 275 (1872)

    MATH  Google Scholar 

  41. The Boltzmann equation and applications, edited by E.D.G. Cohen, W. Thiring (Springer-Verlag, Wien, 1973)

  42. L.M. Chanin, G.D. Rork, Phys. Rev. 132, 2547 (1963)

    Article  ADS  Google Scholar 

  43. L.M. Chanin, G.D. Rork, Phys. Rev. A 133, 1005 (1964)

    Article  ADS  Google Scholar 

  44. Y. Sakai, H. Tagashira, S. Sakamoto, J. Phys. B5, 1010 (1972)

  45. H. Sugawara, Y. Sakai, H. Tgashira, J. Phys. D 25, 1483 (1992)

    Article  ADS  Google Scholar 

  46. D. Loffhagen, F. Sigeneger, Plasma Sources Sci. Technol. 18, 034006 (2009)

    Article  ADS  Google Scholar 

  47. R. Winkler, F. Sigeneger, D. Uhrland, Pure Appl. Chem. 68, 1065 (1996)

    Article  Google Scholar 

  48. R. Winkler, G. Petrov, F. Sigeneger, D. Uhrlandt, Plasma Sources Sci. Technol. 6, 118 (1997)

    Article  ADS  Google Scholar 

  49. F. Sigeneger, R. Winkler, Plasma Chem. Plasma Process. 17, 1 (1997)

    Article  Google Scholar 

  50. G. Petrov, R. Winkler, J. Phys. D 30, 53 (1997)

    Article  ADS  Google Scholar 

  51. E. Marode, J.P. Boeuf, in International Conference on Phenomena in Ionized Gase IGPIG 1983, Düsseldorf, Germany, 1983, p. 206

  52. L.D. Tsendin, Plasma Sources Sci. Technol. 4, 200 (1995)

    Article  ADS  Google Scholar 

  53. U. Kortshagen, C. Busch, L.D. Tsendin, Plasma Sources Sci. Technol. 5, 1 (1996)

    Article  ADS  Google Scholar 

  54. R.E. Robson, in Gaseous Electronics and its Applications, edited by R.W. Crompton et al. (Kluwer, Dordrecht, 1997), pp. 89–101

  55. H. Date, K. Kondo, S. Yachi, H. Tagashira, J. Phys. D 25, 1330 (1992)

    Article  ADS  Google Scholar 

  56. B. Li, Ph.D. thesis, James Cook University, 1999

  57. J. Franck, G. Hertz, Phys. Z. 20, 132 (1919)

    Google Scholar 

  58. N. Bohr, Phil. Mag. 30, 394 (1915)

    Article  Google Scholar 

  59. G.F. Hanne, Am. J. Phys. 56, 696 (1988)

    Article  ADS  Google Scholar 

  60. R.D. White, R.E. Robson, P. Nicoletopoulos, S. Dujko, Eur. Phys. J. D 66, 117 (2012)

    Article  ADS  Google Scholar 

  61. P. Magyar, I. Korolov, Z. Donko, Phys. Rev. E 85, 056409 (2012)

    Article  ADS  Google Scholar 

  62. M. Hayashi, NIFS-DATA-72 (2003), www.nifs.ac.jp/report/nifs-data072.html

  63. G. Rapior, K. Sengstock, V. Baev, Am. J. Phys. 74, 423 (2006)

    Article  Google Scholar 

  64. E.A. Mason, E.W. McDaniel, Transport Properties of Ions in Gases (Wiley, New York, 1988)

  65. R.E. Robson, Introductory Transport Theory for Charged Particles in Gases (World Scientific, Singapore, 2006)

  66. K. Kumar, H.R. Skullerud, R.E. Robson, Aust. J. Phys. 33, 343 (1980)

    Article  MathSciNet  ADS  Google Scholar 

  67. P. Nicoletopoulos, R.E. Robson, Phys. Rev. Lett. 100, 124502 (2008)

    Article  ADS  Google Scholar 

  68. R.E. Robson, J. Chem. Phys. 85, 4486 (1986)

    Article  ADS  Google Scholar 

  69. F. Sigeneger, R. Winkler, R.E. Robson, Contr. Plasma Phys. 43, 178 (2003)

    Article  ADS  Google Scholar 

  70. C.S. Wang-Chang, G.E. Uhlenbeck, J. de Boer, in Studies in Statistical Mechanics (Wiley, New York, 1964), Vol. II, p. 241

  71. R.E. Marshak, Phys. Rev. 71, 443 (1947)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  72. B. Li, R.D. White, R.E. Robson, J. Phys. D 35, 2914 (2002)

    Article  Google Scholar 

  73. P. Segur, A. Alkaa, S. Pineau, A. Zahraoui, B. Chouki, C. Moutarde, S. Laffont, Plasma Sources Sci. Technol. 4, 183 (1995)

    Article  ADS  Google Scholar 

  74. T. Kunst, B. Gétz, B. Schmidt, Nucl. Instrum. Meth. A 324, 127 (1993)

    Article  ADS  Google Scholar 

  75. B. Li, R.E. Robson, R.D. White, Phys. Rev. E 74, 026405 (2006)

    Article  ADS  Google Scholar 

  76. S. Dujko, R.D. White, R.E. Robson, Z.Lj. Petrović, Plasma Sources Sci. Technol. 20, 024013 (2011)

    Article  ADS  Google Scholar 

  77. J. Lucas, H. Saelee, J. Phys. D 8, 640 (1975)

    Article  ADS  Google Scholar 

  78. S. Dujko, R.D. White, Z.Lj. Petrović, J. Phys. D 41, 24205 (2008)

    Article  Google Scholar 

  79. R.E. Robson, R.D. White, Z.Lj. Petrović, Rev. Mod. Phys. 77, 1303 (2005)

    Article  ADS  Google Scholar 

  80. P. Nicoletopoulos, R.E. Robson, R.D. White, J. Chem. Phys. 137, 214112 (2012)

    Article  ADS  Google Scholar 

  81. M. Surendra, M. Dalvie, Phys. Rev. E 48, 3914 (1993)

    Article  ADS  Google Scholar 

  82. F. Sigeneger, R. Winkler, IEEE Trans. Plasma Sci. 27, 1254 (1999)

    Article  ADS  Google Scholar 

  83. P. Nicoletopoulos, R.E. Robson, R.D. White, Phys. Rev. E 85, 046404 (2012)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Robert E. Robson.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Robson, R.E., White, R.D. & Hildebrandt, M. One hundred years of the Franck-Hertz experiment. Eur. Phys. J. D 68, 188 (2014). https://doi.org/10.1140/epjd/e2014-50342-9

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2014-50342-9

Keywords

Navigation