We investigate the evolution of molecular abundance in quiescent proto
planetary disks that are presumed to be around weak-lined T Tauri star
s. In the region of surface density less than 10(2) g cm(-2) (distance
from the star greater than or similar to 10 AU in the minimum-mass so
lar nebula), cosmic rays are barely attenuated even in the midplane of
the disk and produce chemically active ions such as He+ and H-3(+). T
hrough reactions with these ions, CO and N-2 are finally transformed i
nto CO2, NH3, and HCN. In the region where the temperature is low enou
gh for these products to freeze onto grains, a considerable amount of
carbon and nitrogen is locked up in the ice mantle and is depleted fro
m the gas phase in a timescaIe of less than or similar to 3 x 10(6) yr
. Oxidized (CO2) ice and reduced (NH3 and hydrocarbon) ice naturally c
oexist in this part of the disk. The molecular abundance both in the g
as phase and in the ice mantle varies significantly with the distance
from the central star.