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Basis Set Superposition Errors Are Partly Basis Set Imbalances

Frank Jensen

2024Journal of Chemical Theory and Computation27 citationsDOI

Abstract

When calculating fragment interaction energies by electronic structure methods employing medium-sized atom-centered basis sets, it is often observed that the effect is systematically overestimated. The common interpretation is that the systematic error arises because the basis set for the complex is more complete than for the isolated fragments, and this is denoted basis set superposition errors. It has been observed, however, that the interaction energy in some cases is underestimated, which defies the interpretation in terms of basis set completeness, and instead suggests that the effect partly is due to basis set imbalance. The imbalance can be removed by explicit optimization of the basis sets for each structure, and it is shown that this to a significant extent reduces the systematic overestimation attributed to basis set superposition error.

Topics & Concepts

Basis (linear algebra)Superposition principleBasis setSet (abstract data type)Completeness (order theory)STO-nG basis setsInterpretation (philosophy)Computer scienceAlgorithmMathematicsPhysicsGeometryQuantum mechanicsMathematical analysisLinear combination of atomic orbitalsMoleculeProgramming languageMachine Learning in Materials ScienceAdvanced Chemical Physics StudiesX-ray Diffraction in Crystallography
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