A number of properties of interatomic surfaces, as defined by the quantum theory of atoms in molecules (QTAIM), are calculated for approximately 50 molecules. These integrated surface properties are then tested for their ability to correlate and predict bond energies from MP2 atomisation energies. Three surface properties, each with units of energy, are found to show strong correlations with bond energy: single parameter models work well for non-polar bonds, but fail for polar and ionic bonds, where multi-variate methods are required. The local curvature of the interatomic surface is found to be useful this respect, reflecting charge transfer effects.