We use observations of the C i, C ii, H i, and H 2 column densities along lines of sight in the Galactic plane to determine the formation rate of H 2 on grains and to determine chemical reaction rates with polycyclic aromatic hydrocarbons (PAHs). Photodissociation region models are used to find the best-fit parameters to the observed columns. We find the H 2 formation rate on grains has a low rate (R $ 1 ; 10 À17 cm 3 s À1 ) along lines of sight with low column density (A V P 0:25) and low molecular fraction ( f H 2 P 10 À4 ). At higher column densities (0:25 A V 2:13), we find a rate of R $ 3:5 ; 10 À17 cm 3 s À1 . The lower rate at low column densities could be the result of grain processing by interstellar shocks, which may deplete the grain surface area or process the sites of H þ H formation, thereby inhibiting H 2 production. Alternatively, the formation rate may be normal, and the low molecular fraction may be the result of lines of sight that graze larger clouds. Such lines of sight would have a reduced H 2 self-shielding compared to the lineof-sight column. We find the reaction C þ þ PAH À ! C þ PAH 0 is best fit with a rate 2:4 ; 10 À7 È PAH T À0:5 2 cm 3 s À1 with T 2 ¼ T /100 K, and the reaction C þ þ PAH 0 ! C þ PAH þ is best fit with a rate 8:8 ; 10 À9 È PAH cm 3 s À1 . In high-column-density gas, we find È PAH $ 0:4. In low-column-density gas, È PAH is less well constrained, with È PAH $ 0:2Y0:4.