The magnitude of the third-order nonlinear polarizability gamma of arm
chair nanotube is theoretically studied. The calculated results for th
e C-70 tube are consistent with those measured by Neher et al. [Opt. L
ett. 17, 1491 (1992)]. The static and dynamical magnitudes of gamma ca
n be greatly enhanced by increasing the carbon number. When the carbon
number is big enough, the major dynamical response peaks with large g
amma magnitudes are located at the optical frequency omega near the en
ergy gap E-g (i.e., 3 omega similar to 3E(g)), and the highest peak ma
gnitude is much larger than that of C-70, which is important in practi
cal use. (C) 1997 American Institute of Physics.