We describe the histogram of chain conformations that results when fle
xible polymers adsorb more quickly than the surface structure equilibr
ates. By infrared analysis of conformational substates in a model syst
em (poly(methyl methacrylate) adsorbed primarily by hydrogen bonding o
nto oxidized silicon), this histogram was measured and found to be bim
odal. One large population of chains spread into flattened conformatio
ns. A second large population of chains, finding less free surface ava
ilable at the time of adsorption, became attached more tenuously. The
history dependence of adsorption could be understood as the irreversib
le adsorption of objects with flexible shape. This interpretation diff
ers decisively from the traditional considerations of minimizing the f
ree energy.