surface excess energy

https://doi.org/10.1351/goldbook.S06173
Defined by: \[U^{\unicode[Times]{x3C3} } = U - U^{\unicode[Times]{x3B1} }- U^{\unicode[Times]{x3B2} }= U - V^{\unicode[Times]{x3B1} }\ \frac{U_{\text{m}}^{\unicode[Times]{x3B1} }}{V_{\text{m}}^{\unicode[Times]{x3B1} }} - V^{\unicode[Times]{x3B2} }\ \frac{U_{\text{m}}^{\unicode[Times]{x3B2} }}{V_{\text{m}}^{\unicode[Times]{x3B2} }}\] where V α and V β satisfy the condition V α + V β = V, the total volume of the system. (U m α V m α) and (U m β V m β) are the energy densities in the two bulk phases where U m α and U m β are the mean molar energies and V m α and V m β are the mean molar volumes of the two phases.
Source:
PAC, 1972, 31, 577. 'Manual of Symbols and Terminology for Physicochemical Quantities and Units, Appendix II: Definitions, Terminology and Symbols in Colloid and Surface Chemistry' on page 599 (https://doi.org/10.1351/pac197231040577)