We present a pseudopotential approach to the calculation of the excitonic s
pectrum of semiconductor quantum dots. Starting from a many-body expansion
of the exciton wave functions in terms of single-substitution Slater determ
inants constructed from pseudopotential single-particle wave functions, our
method permits an accurate and detailed treatment of the intraconfiguratio
n electron-hole Coulomb and exchange interactions, while correlation effect
s can be included in a controlled fashion by allowing interconfiguration co
upling. We calculate the exciton fine structure of InP and CdSe nanocrystal
s in the strong-confinement regime. We find a different size dependence for
the electron-hole exchange interaction than previously assumed (i.e., R-2
instead of R-3). Our calculated exciton fine structure is compared with rec
ent experimental results obtained by size-selective optical spectroscopies.
[S0163-1829(99)00227-1].