Skip to main content

Equilibrium and Stationary Shapes of Heated Metallic Crystals in a Strong Electric Field

  • Chapter
Growth of Crystals

Part of the book series: Growth of Crystals ((GROC,volume 19))

  • 65 Accesses

Abstract

The basic concepts about the change of shape of metallic crystals or points heated in a strong electric field were formulated in the mid-1970s. However, the initial stage of this process, the so-called restructuring in an electric field, was known and studied much earlier [1–3]. The principal new discovery was the observation of crystalline growth in an electric field normal to the faces. In this instance, large crystalline outgrowths, “macrooutgrowths,” grew on the planar point faces at certain temperatures T and electric-field potentials F. The size of these outgrowths was comparable to that of the faces (i.e., thousands of angstroms). Their structure and faceting were the same as those of the point. Small outgrowths, “microprotrusions,” grew on the edges and corners of the macrooutgrowths or restructured point. The size of these was tens to hundreds of angstroms. Their local structure corresponded to that of the point [4–9]. These phenomena, first observed for tungsten, were demonstrated to be generalized over a number of other metals [10].

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. W. Müller, “Further observations with the field-electron microscope,” Z Physik, 108, 668–680 (1938).

    Article  Google Scholar 

  2. M. Benjamin and R. O. Jenkins, “The distribution of autoelectronic emission from single crystal metal points. I. Tungsten, molybdenum, nickel in the clean state,” Proc. R. Soc. London, A, 176, 262–279 (1940).

    Article  CAS  Google Scholar 

  3. I. L. Sokol’skaya, “Surface migration of W atoms in an electric field,” Zh. Tekh. Fiz., 26, No. 6, 1177–1184 (1956).

    CAS  Google Scholar 

  4. O. L. Golubev, B. M. Shaikhin, and V. N. Shrednik, “Crystalline outgrowths on points—objects of electronic and ionic projectors,” in: Fourth All-Union Conf. on Growth of Crystals: Papers on the Mechanism and Kinetics of Growth of Crystals [in Russian], Izd. Akad. Nauk Arm. SSR, Erevan (1972), Part 1, pp. 34–35.

    Google Scholar 

  5. V. G. Pavlov, A. A. Rabinovich, and V. N. Shrednik, “Elongation of points by an electric field,” Pis’ma Zh. Eksp. Teor. Phys., 17, No. 5, 247–250 (1973).

    CAS  Google Scholar 

  6. V. N. Shrednik, V. G. Pavlov, A. A. Rabinovich, and B. M. Shaikhin, “Growth of tips in the directions normal to close-packed faces by heating in the presence of an electric field,” in: Abstracts of the XXth Field-Emission Syrnp., Penn. St. Univ., (1973), p. 56.

    Google Scholar 

  7. V. N. Shrednik, V. G. Pavlov, A. A. Rabinovich, and B. M. Shaikhin, “Growth of tips in the directions normal to close-packed faces by heating in the presence of an electric field,” Phys. Status Solidi A, 23, No. 2, 373–381 (1974).

    Article  CAS  Google Scholar 

  8. V. G. Pavlov and V. N. Shrednik, “On field crystal growth of refractory metals in high vacuum,” in: Proc. VIIth Int. Symp. on Discharges and Electrical Insulation in Vacuum, Nauka, Novosibirsk (1976), pp. 213–216.

    Google Scholar 

  9. V. G. Pavlov, A. A. Rabinovich, and V. N. Shrednik, “Temperature dependence of minimum electric field required for the formation of microprotrusions,” Zh. Tekh. Fiz., 47, No. 2, 405–409 (1977).

    Google Scholar 

  10. V. G. Pavlov, A. A. Rabinovich, and V. N. Shrednik, “Field erosion of Mo, Ta, Nb, Ir, and Re,” Fiz. Tverd. Tela, 17, No. 7, 2045–2048 (1975).

    CAS  Google Scholar 

  11. Yu. A. Vlasov, V. G. Pavlov, and V. N. Shrednik, “High-temperature field evaporation of thermo-field microprotrusions,” Pis’ma Zh. Tekh. Fiz., 12, No. 9, 548–552 (1986).

    CAS  Google Scholar 

  12. Yu. A. Vlasov, O. L. Golubev, and V. N. Shrednik, “The competition of electrostatic and ‘capillary’ forces in changing the shape of a metal tip,” Izv. Akad. Nauk SSSR, Ser. Fiz., 52, No. 8, 1538–1543 (1988).

    CAS  Google Scholar 

  13. Yu. A. Vlasov, O. L. Golubev, and V. N. Shrednik, “Progress in the study of thermo-field phenomena,” J. Phys., Colloq., 49, No. 6, Suppl. 11, C6-131-C6-136 (1988).

    Google Scholar 

  14. Yu. A. Vlasov, O. L. Golubev, and V. N. Shrednik, “The competition of electrostatic and ‘capillary’ forces in changing the shape of a metal tip,” in:Abstracts of Papers of the XXth All-Union Conf on Emission Electronics, Vol. 1 [in Russian], Kiev (1987), p. 182.

    Google Scholar 

  15. Yu. A. Vlasov, O. L. Golubev, and V. N. Shrednik, “Equilibrium and stationary shapes of heated metallic single crystals in a strong electric field,” in: Expanded Abstracts of the VIIth All-Union Conf on Growth of Crystals, Vol. 4 [in Russian], Moscow (1988), pp. 76–77.

    Google Scholar 

  16. Yu. A. Vlasov, O. L. Golubev, and V. N. Shrednik, “Surface tension of crystalline solids studied by applying field-emission methods,” in: Abstracts of Papers of the All-Union Conf “Surface-89” [in Russian], Chernogolovka (1989), p. 161.

    Google Scholar 

  17. E. W. Mueller and T. T. Tsong, Progress in Surface Science: Vol. 4, Pt. 1: Field Ionic Microscopy, Field Ionization, and Field Vaporization, Pergamon, Oxford (1973).

    Google Scholar 

  18. C. Herring, “Use of classical macroscopic concepts in surface energy problems,” in: Structure and Properties of Solid Surfaces, Univ. Chicago Press, Chicago (1953), pp. 5–81.

    Google Scholar 

  19. C. M. C. de Castilho and D. R. Kingham, “Calculation of field ionization in the field ion microscope,” Surf Sci, 173, No. 1, 75–96 (1986).

    Article  Google Scholar 

  20. J. Barbuou r, F. M. Charbonnier, W. W. Dolan, et al., “Determination of the surface tension and surface migration constants for tungsten,” Phys. Rev., 117, No. 6, 1452–1459 (1960).

    Article  Google Scholar 

  21. E. W. Muller and R. Young, “Determination of field strength for field evaporation and ionization in the field ion microscope,” J. Appl. Phys., 32, No. 11, 2425–2428 (1961).

    Article  Google Scholar 

  22. V. N. Shrednik, V. G. Pavlov, A. A. Rabinovich, and B. M. Shaikhin, “Effect of a strong electric field and heating on a metallic point,” Izv. Akad. Nauk SSSR, Ser. Fiz., 38, No. 2, 296–301 (1974).

    CAS  Google Scholar 

  23. W. K. Burton, N. Cabrera, and E. C. Frank, “The growth of crystals and equilibrium structure of their surfaces,” Trans. Roy. Soc. (London), A243, 299–358 (1951).

    Article  CAS  Google Scholar 

  24. V. N. Shrednik, “Diffusion and growth of crystals on a metallic surface studied at the atomic level,” Author’s Abstract of a Doctoral Dissertation in Physical-Mathematical Sciences, Leningrad (1985).

    Google Scholar 

  25. V. M. Zhukov and S. A. Polezhaev, “Evolution of the surface of a microcrystal at the tip of a point emitter under the influence of heat and field,” Zh. Tekh. Fiz, 57, No. 6, 1133–1136 (1987).

    CAS  Google Scholar 

  26. G. N. Fursei, V. É. Ptitsyn, D. N. Krotevich, and V. A. Shvarkunov, “Shape change of the tip surface of a point-like microcrystal during passage of an autoelectronic emission current,” in: Abstracts of Papers of the XXth All-Union Conf on Emission Electronics, Vol. 1 [in Russian], Kiev (1987), p. 202.

    Google Scholar 

  27. V. É. Ptitsyn and G. N. Fursei, “Shape change of the tip surface of a point-like microcrystal during passage of an autoelectronic emission current,” Izv. Akad. Nauk SSSR, Ser. Fiz., 52, No. 8, 1513–1517 (1988).

    CAS  Google Scholar 

  28. E. W. Mueller and T. T. Tsong, Autoionic Microscopy [Russian translation], Metallurgiya, Moscow (1972).

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer Science+Business Media New York

About this chapter

Cite this chapter

Vlasov, Y.A., Golubev, O.L., Shrednik, V.N. (1993). Equilibrium and Stationary Shapes of Heated Metallic Crystals in a Strong Electric Field. In: Givargizov, E.I., Grinberg, S.A. (eds) Growth of Crystals. Growth of Crystals, vol 19. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2379-6_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-2379-6_1

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6010-0

  • Online ISBN: 978-1-4615-2379-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics