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Cross sections have been computed for the electron-transfer process Ba++Ba+→Ba+Ba++, for collision energies ranging from 25 to 500 keV. The straight-line classical-trajectory method has been used, with basis functions obtained by the multiconfiguration valence-bond method. Several numerical procedures applicable to future treatments of similar large systems were developed. The maximum cross-section value is found to be around 27π a02 (2.4 × 10-15 cm2), and occurs near collision energy 500 keV. The system's transient behavior has also been studied in detail during the collision, and it has been found that most electron-transfer events involve migration of the electron across internuclear distances considerably larger than the ionic diameter.