Fig. 4: The geometric effects in nanoscale field emission. | Nature Communications

Fig. 4: The geometric effects in nanoscale field emission.

From: Uncovering a widely applicable empirical formula for field emission characteristics of metallic nanotips in nanogaps

Fig. 4

a The correction factors CMG as a function of the ratio of apex radius to gap length R/d in logarithmic coordinates (scatterplots). b The effective field-voltage conversion factors βeff-MG as a function of R/d in logarithmic coordinates (scatterplots), along with the corresponding exponent n4 (solid line). c The shape factors kMG as a function of R/d in logarithmic coordinates (scatterplots), along with the corresponding negative exponent n5 (solid line). The black line shows the fitting curve by kMG = 1.680 × (R/d + 0.468)−1.066. d The field emission Im-Feff-MG curves of the tungsten nanotip with an apex radius of 4 nm across different nanogaps. e The corresponding Fowler-Nordheim (FN) plots of Im-Feff-MG curves. f The effective emission area Aeff-MG obtained by finite element method (FEM) simulation.

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