Abstract
In this paper, an almost exact expression for the tunneling probability of an electron through the potential barrier on account of a negative charge on a spherical metallic particle has been derived and used to obtain the field emission current density from the surface of the particle. Based on these results a parametric analysis of the phenomenon and comparison with the results of the Jeffreys–Wentzel–Kramers–Brillouin (JWKB) approximation (similar to the Fowler–Nordheim theory) has been presented. It is seen that the JWKB theory underestimates the tunneling probability. The investigation is of relevance to dusty plasmas in space and in the laboratory.
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