The electronic mobility is investigated in the two-dimensional modulat
ion-doped In1-xAlxAs/In1-yGayAs alloy system using a memory-function t
heoretical framework. A variational wave-function model with penetrati
on into the barrier side of the heterostructure is employed in order t
o facilitate the use of analytic matrix elements for the various scatt
ering mechanisms. Scattering due to polar optical (Frolich coupling, d
eformation potential), acoustic (deformation potential), impurities (r
emote and background), interface roughness, and alloy fluctuations are
included in the calculations. The parameters used here are obtained w
ithin the virtual crystal approximation appropriate to the composition
s x and y studied in conjunction with the parameters for the parent co
mpounds. The mobility results obtained versus temperature are compared
with experimental data for the above system.