We have investigated the evolution of molecular abundance in circumste
llar disks around young low-mass stars, which are considered to be the
formation sites of planetary systems. Adopting the standard accretion
disk model, we investigated molecular evolution mainly in the accreti
on phase. In the region of surface density less than 10(2) g cm(-2) (d
istance from the star greater than or similar to 10 AU), cosmic rays a
re barely attenuated, even in the midplane of the disk, and produce ch
emically active ions such as He+ and H-3(+). We found that a considera
ble amount of CO and N-2, the initial dominant components of the disk,
is transformed into CO2, CH4, NH3 and HCN through reactions with thes
e ions. Where the temperature is low enough for these products to free
ze onto grains, they are selectively 'locked up' and accumulate in the
ice mantle. As the matter accretes towards inner warmer regions, the
ice mantle evaporates. The desorbed molecules, such as CH4, are transf
ormed into larger and less volatile molecules by reactions in the gas
phase. The molecular abundance, both in the gas phase and in the ice m
antle, depends crucially on the temperature and thus varies significan
tly with the distance from the central star. If the ionization rate an
d the grain size in the disk are the same as those in molecular clouds
, the timescale of the molecular evolution, in which CO and N-2 are tr
ansformed into other molecules is, ca. 10(6) years, slightly less than
the life time of the disk. The timescale of molecular evolution is le
ss for higher ionization rates and greater for lower ionization rates
or larger grain size. We have compared our results with the molecular
composition in comets, the most primitive bodies in our solar system.
The molecular abundance derived from our model reproduces the coexiste
nce of oxidized ice and reduced ice, as observed in comets. Our model
also suggests that comets formed in different regions of the disk will
have different molecular compositions.