A theoretical framework for the electron field emission from carbon nanotub
es (CNTs) is discussed. Using the tunneling theory, the influence of the de
tailed electron energy dispersion is proven to be of little importance for
the electron field emission. By means of numerical computations in a simpli
fied model, the influence of the environment on the local field on a CNT is
discussed for an aligned CNT film. In a simple triangular model for the po
tential energy barrier at the tube end, a tunneling probability was obtaine
d. A statistical model was developed for the structural and functional para
meters of aligned CNT films. Practical CNT films of excellent alignment, ob
tained directly on a tungsten wire by plasma-enhanced chemical vapor deposi
tion, were analyzed by this statistical model. Their distribution in the en
hancement factors was thus deduced. An indirect method to get the average e
lectrical parameters of the film using only a limited amount of experimenta
l data was thus established. (C) 2001 Elsevier Science B.V. All rights rese
rved.