We have developed BEBOP, a bond energies from bond orders and populations model, for the partition of ab initio energies among the bonds of a molecule. The necessary parameters have been determined for all bonds involving H, Li, Be, B, C, N, O, and F atoms. The BEBOP model reproduces the atomization energies of 56 hydrocarbon molecules and radicals to within ±4.80 kcal/mol RMSE. The model provides reliable and qualitative analyses of resonance stabilization energies, ring strain energies, and variations in bond dissociation energies in hydrocarbons. The BEBOP analysis of transition state barriers for chemical reactions offers new qualitative insights about the nature of these barriers. The reliability of the model deteriorates as we introduce hetero-atoms (±10.40 kcal/mol RMSE for 60 species) and for applications to inorganic chemistry (±8.77 kcal/mol RMSE for 76 species), but the potential for useful qualitative interpretations of ab initio energies is very broad. Our future work with the BEBOP model will also extend parameters for second row elements. We hope to include additional expressions for charge transfer and ionic effects that are expected to improve the performance for inorganic and hetero-organic species. We also plan to include an empirical dispersion correction to model long range electron correlations.