The Born–Huang approximation (named after Max Born and Huang Kun) is an approximation closely related to the Born–Oppenheimer approximation. It takes into account diagonal nonadiabatic effects in the electronic Hamiltonian than the Born–Oppenheimer approximation. Despite the addition of correction terms, the electronic states remain uncoupled under Born–Huang approximation, making it an adiabatic approximation.
Read more about Born–Huang Approximation: Mathematical Formula, Consequences, Born-Huang Approximation As A Method To Evaluate Non-adiabatic Correction, Upper-Bound Property
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... The value of Born–Huang approximation is that it provides the upper-bound for the ground state energy ... The Born-Oppenheimer approximation, on the other hand, provides the lower-bound for this value ... As a result, the Born–Huang approximation can be used as a very efficient way to validate the Born-Oppenheimer approximation, avoiding the need for explicit ...