Abstract
An interpretation of the field-emission images of molecules, impurity ions, and nanostructures placed on the tip of a field-emission microscope is given. It is shown that often such images represent nothing else but the visualization of the wave function of the emitted quantum particle in the momentum space. The results of many earlier experiments are reinterpreted with regard to the results obtained in the present work.
Similar content being viewed by others
References
T. T. Tsong, Atom-Probe Field Ion Microscopy (Cambridge Univ. Press, New York, 1990).
A. L. Suvorov, Structure and Properties of Surface Atomic Layers of Metals (Énergoatomizdat, Moscow, 1990).
R. Gomer, Field Emission and Field Ionization (American Inst. of Physics, New York, 1993).
I. Brodie, Surf. Sci. 70, 186 (1978).
J. W. Gadzuk and E. W. Plummer, Rev. Mod. Phys. 45, 487 (1973).
J. W. Gadzuk, Phys. Rev. B 47, 12832 (1993).
E. W. Mueller, Z. Naturforsch. A 5, 473 (1950).
H. E. Clark and R. D. Young, Surf. Sci. 12, 385 (1968).
M. E. Lin, R. P. Anders, and R. Reifenberger, Phys. Rev. Lett. 67, 477 (1991).
V. N. Konopsky, S. K. Sekatskii, and V. S. Letokhov, J. Phys. IV 6, C5–125 (1996).
S. K. Sekatskii and V. S. Letokhov, Pis’ma Zh. Éksp. Teor. Fiz. 65, 491 (1997) [JETP Lett. 65, 465 (1997)].
S. K. Sekatskii, S. V. Chekalin, A. L. Ivanov, et al., Zh. Éksp. Teor. Fiz. 115, 1680 (1999) [JETP 88, 921 (1999)].
B. Podolsky and L. Pauling, Phys. Rev. 34, 109 (1929).
A. P. Prudnikov, Yu. A. Bryuchkov, and O. I. Marichev, Integrals and Series (Nauka, Moscow, 1983; Gordon and Breach, New York, 1986), Vols. 1, 2.
P. L. Kapur and R. Peierls, Proc. R. Soc. London, Ser. A 163, 606 (1937).
Yu. N. Demkov and V. N. Ostrovskii, Zero-Range Potentials and Their Applications in Atomic Physics (Nauka, Moscow, 1985; Plenum, New York, 1988).
B. Gottlieb, M. Kleber, and J. Krause, Z. Phys. A 339, 201 (1991).
C. Bracher, W. Becker, S. A. Gurvitz, et al., Am. J. Phys. 66, 38 (1998).
S. K. Sekatskii, Surf. Sci. 453, L303 (2000).
S. K. Sekatskii and V. S. Letokhov, Phys. Rev. B 64, 233311 (2001).
A. J. Melmed and E. W. Mueller, J. Chem. Phys. 29, 1037 (1958).
R. Haefer, Acta Phys. Austriaca 8, 105 (1953).
P. Wolf, Z. Angew. Phys. 6, 529 (1954).
J. A. Becker and R. G. Brandes, J. Appl. Phys. 27, 221 (1956).
A. P. Komar and A. A. Komar, Zh. Tekh. Fiz. 31, 231 (1961) [Sov. Phys. Tech. Phys. 6, 166 (1961)]; Zh. Tekh. Fiz. 32, 867 (1962) [Sov. Phys. Tech. Phys. 7, 634 (1963)].
R. Gomer, J. Chem. Phys. 19, 1072 (1951).
R. Gomer and D. A. Speer, J. Chem. Phys. 21, 73 (1953).
D. J. Rose, J. Appl. Phys. 27, 215 (1956).
G. R. Condon and J. A. Panitz, J. Vac. Sci. Technol. B 18, 1216 (2000).
P. Sautet and C. Joachim, Surf. Sci. 271, 387 (1992).
C. Wang, A. Garcia, D. Ingram, et al., Electron. Lett. 27, 1459 (1991).
V. N. Konopsky, V. V. Zhirnov, N. S. Sokolov, et al., J. Phys. IV 6, C5–129 (1996).
F. Schowalter and L. J. Fathauer, J. Vac. Sci. Technol. A 4, 1026 (1986).
S. K. Sekatskii, D. V. Serebryakov, V. S. Letokhov, et al., Appl. Surf. Sci. 140, 46 (1999).
B. Quiniou, W. Schwarz, Z. Wu, et al., Appl. Phys. Lett. 60, 183 (1992).
C. Pedrini, F. Rogemond, and D. S. McClure, J. Appl. Phys. 59, 1196 (1986).
S. K. Sekatskii, V. S. Letokhov, and S. B. Mirov, Opt. Commun. 95, 260 (1993).
Y. Saito, K. Hamaguchi, K. Hata, et al., Nature (London) 389, 554 (1997).
W. A. de Heer, J.-M. Bonard, T. Stoekli, et al., Z. Phys. D 40, 418 (1997).
K. A. Dean and B. R. Chalamala, J. Appl. Phys. 85, 3832 (1999).
K. A. Dean, P. von Allmen, and B. R. Chalamala, J. Vac. Sci. Technol. B 17, 1959 (1999).
G. Zhou, W. Duan, and B. Gu, Phys. Rev. Lett. 87, 095504 (2001).
J. W. G. Wildoer, L. C. Venema, A. G. Rinzler, et al., Nature (London) 391, 59 (1998).
H.-W. Fink, Phys. Scr. 38, 260 (1988).
V. T. Binh, J. Microsc. 152, 355 (1988).
Author information
Authors and Affiliations
Additional information
__________
Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 122, No. 2, 2002, pp. 245–257.
Original Russian Text Copyright © 2002 by Sekatskii, Letokhov.
Rights and permissions
About this article
Cite this article
Sekatskii, S.K., Letokhov, V.S. Visualization of the wave function of a quantum particle in the momentum space by the field-emission microscopy technique. J. Exp. Theor. Phys. 95, 210–220 (2002). https://doi.org/10.1134/1.1506428
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1506428