“…Calculation difficulties in these numerical methods arise due to the large nanotube aspect ratio and very long distance between cathode and anode in comparison with emitter height. Usually, these numerical results were generalized and simple fitting formulas of field enhancement factor for individual nanotube (Edgcombe & Valdrè, 2001;Edgcombe & Valdrè, 2002;Shang et al, 2007), for nanotube in space between parallel cathode and anode planes (Bonard et al, 2002a;Filip et al, 2001;Nilsson et al, 2002;Smith et al, 2005), and for a nanotube surrounded by neighboring nanotubes with a screening effect (Jo et al, 2003;Glukhova et al, 2003;Nilsson et al, 2000;Wang et al, 2005) were suggested. The main problem for such algebraic fitting formulas is the lack of a definitive proof of their accuracy.…”