Empirical formula for field emission of metallic nanotips

Widely applicable scaling law

Proposes a modified field emission equation incorporating an empirical apex shape factor, valid over a wide range of R/d.

Li, Yimeng · Xia, Linghan · Li, Nan · Xiao, Bing · Cheng, Yonghong · Ang, Ricky · Meng, Guodong

Nature Communications 2025

Advantages

Empirical formula kMG=1.680×(R/d+0.468)^(-1.066), valid for R/d=0.04 to 48.

Pure tungsten nanotips, R/d ranging from 0.04 to 48.