To enable the design of efficient organic electroluminescence (OLED) devices with desirable charge carrier transport properties, the mobilities of hole and electron in a series of compounds were studied computationally based on the Marcus electron transfer theory. MO calculations were performed, using the DFT B3LYP/6-31G* method in the Gaussian 98 program suite, on the following compounds: biphenyl (Bp), 4,4'-biphenyldiamine (BA), triphenylamine (TPA), tri-p-tolylamine (TTA), 4-biphenylphenyl-m-tolylamine (BPTA), 4,4'-bis(phenyl-m-tolylamino)biphenyl (TPD), naphthalene (Np), 1-naphthyldiphenylamine (NDPA), 1-biphenylnaphthylphenylamine (BNPA), and 4,4'-bis(1-naphthylphenylamino)biphenyl (NPB). The geometries of these compounds in their neutral, cationic, and anionic states were optimized. The optimized geometries were then used to calculate the ionization potential, electron affinity, and reorganization energies. For compounds containing a biphenyl moiety (Bp, BA, BPTA, TPD, BNPA, and NPB), the inter-ring distance and torsional angle followed the trend neutral greater than or equal to cationic greater than or equal to anionic, except NPB in which these two parameters in anionic state were larger than the corresponding parameters in the cationic state because of a small contribution from the biphenyl moiety to its LUMO. Also, the ionization potentials follow the order Bp > BPTA; BNPA > BA > NPB approximate to TPD. The electron affinities were calculated to range from -1.54 to -0.05 eV for all compounds except NPB which has a positive electron affinity 0.24 eV due to the dominant contribution of two naphthyl groups to LUMO. For most compounds, the reorganization energy lambda(+) for the hole transport is larger than lambda(-) for the electron transport except NPB and BA(py) (constrained nitrogen pyramidal geometry). These exceptions were rationalized by the special structures for their anionic states. According to the magnitudes of lambda(+), compounds can be divided into two groups: lambda(+) greater than or equal to 0.28 eV (BA(pl) (constrained planar nitrogen geometry) approximate to Bp > TPD approximate to NPB) for compounds containing biphenyl group with or without two amino groups and lambda(+) less than or equal to 0.2 eV (TPA approximate to TTA < BPTA < BNPA approximate to NDPA) for compounds with single triarylamine group. According to the magnitudes of lambda(-), compounds can be divided into three groups: lambda(-) greater than or equal to 0.50 eV (TPD > Bp > BPTA) for compounds with a dominating biphenyl group in their LUMO, lambda(-) less than or equal to 0.32 eV (NDPA > BNPA > Np > NPB) for compounds with a dominating naphthyl group in their LUMO, and the other compounds (TPA and TTA). From these results, lambda(+) is determined mainly by the moiety which contributes predominantly to its HOMO, whereas lambda(-) is determined mainly by the moiety which contributes predominantly to its LUMO. Therefore, by controlling the major contributors to the HOMO and LUMO, and by incorporating substituents to fine-tune the energy levels of these frontier orbitals (HOMO and LUMO), a systematic design of materials for OLED with desirable charge carrier transport properties should be feasible.