Based on the tight-binding model of pi electrons for a graphite sheet, the
electronic structure of the chiral toroidal carbon nanotubes (TCNTs) has be
en derived. The quantum properties and magnetic pattern of TCNTs have been
investigated in detail in this paper. A magnetic field can induce a metal-s
emiconductor transition for type I and II TCNTs. The computation and analys
is also show: when T = OK, the magnetism of type I and 11 TCNTs are a linea
rly function of the magnetic flux Phi, with a period Phi (0), ( h/e), which
is sensitive to chiral angle theta, toroidal width r and temperture T, ind
ependent of toroidal radius R. The magnetism of chiral TCNTs is much strong
er than that of the armchair or zigzag TCNTs. The magnetism of type m TCNTs
is very weak, without regularity.