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the claim

Quantum chemistry calculations typically assume the electronic wave function is adiabatically parameterized by the nuclear positions, known as the Born–Oppenheimer approximation.

the verdict
SUPPORTED
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Recorded sources
3 sources for · 0 against

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Is it true that quantum chemistry calculations typically assume the electronic wave function is adiabatically parameterized by the nuclear positions, known as the Born–Oppenheimer approximation?

Yes. Standard quantum chemistry calculations routinely rely on the Born-Oppenheimer approximation to decouple electronic and nuclear motion, though specialized non-adiabatic methods exist for cases where this assumption breaks down.

Verdict: SUPPORTED · 3 sources for, 0 against · Last checked

The analysis

The claim states that quantum chemistry calculations typically assume the electronic wave function is adiabatically parameterized by nuclear positions (the Born-Oppenheimer approximation). The retrieved papers discuss methods designed to go beyond the Born-Oppenheimer approximation (such as non-BO nuclear-electronic orbital theories and treatments of conical intersections), confirming that the approximation is indeed the standard baseline assumption in conventional quantum chemistry.

Evidence for · 3
2001
Development of simultaneous determination methods for nuclear and electronic wave functions specifically aims to move beyond the Born-Oppenheimer approximation, illustrating that standard quantum chemistry normally assumes it.
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Nakai, H. (2001). Simultaneous determination of nuclear and electronic wave functions without Born–Oppenheimer approximation: Ab initio NO+MO/HF theory. doi.org. https://doi.org/10.1002/qua.1106

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More for · 2
2007
Reviews non-Born-Oppenheimer methods by contrasting them with the standard practice of determining electronic wave functions under the Born-Oppenheimer approximation.
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Nakai, H. (2007). Nuclear orbital plus molecular orbital theory: Simultaneous determination of nuclear and electronic wave functions without Born–Oppenheimer approximation. doi.org. https://doi.org/10.1002/qua.21379

2024
Notes that standard ab initio molecular dynamics and density functional theory computations for ground-state chemical reactions commonly rely on standard electronic-nuclear separation frameworks.
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R, B., L, Á., J, G., D, M., & I, F. (2024). On the Simulation of Photoreactions Using Restricted Open-Shell Kohn-Sham Theory.. doi.org. https://doi.org/10.3390/molecules29184509

What does the evidence say?

The claim states that quantum chemistry calculations typically assume the electronic wave function is adiabatically parameterized by nuclear positions (the Born-Oppenheimer approximation). The retrieved papers discuss methods designed to go beyond the Born-Oppenheimer approximation (such as non-BO nuclear-electronic orbital theories and treatments of conical intersections), confirming that the approximation is indeed the standard baseline assumption in conventional quantum chemistry.

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