The static second-order hyperpolarizabilities gamma of armchair nanotu
bes C60+ix10 are studied. Their magnitudes obey a scaling law given by
gamma/gamma(60)=(1 + i/6)(3.15), where gamma(60) is the static gamma
magnitude of C-60. Based on this law, as an example, we predict that t
he static gamma magnitude of armchair nanotube with a length of 40 Ang
strom generally seen in experiment is about 3.5 x 10(-29) esu. which i
s an appropriate value needed in photonic devices, and implies that ar
mchair nanotube is an ideal candidate among all third-order materials
for photonic applications. (C) 1998 American Institute of Physics. [S0
003-6951(98)01319-9].