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the claim
Large basis sets provide better approximations to the Schrödinger equation by offering more variational freedom
the verdict
SUPPORTED
the evidence backs this
refutedsupported
the weight of evidence
8 sources for · 0 against

Quantum chemistry and physics literature consistently confirm that larger basis sets reduce basis set incompleteness error and provide better, more accurate approximations when solving the Schrödinger equation.

Evidence for · 8
Communications: Intramolecular basis set superposition error as a measure of basis set incompleteness: Can one reach the basis set limit without extrapolation?
2010 · cited by 32
Addresses basis set incompleteness and convergence toward the limit in solving the electronic Schrödinger equation.
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The analysis

Judged against the evidence record for claims of this kind.

More for · 7
Approaching the basis set limit in Gaussian-orbital-based periodic calculations with transferability: Performance of pure density functionals for simple semiconductors.
2021 · cited by 17
Shows systematic improvement toward the basis set limit using large uncontracted GTO basis sets.
Multireference exciplex binding energies: Basis set convergence and error
2018 · cited by 9
Demonstrates basis set convergence and the importance of basis set size in multireference methods.
Wikipedia: Schrödinger equation
cited by 0
Reference article covering this claim directly
OpenAIRE: Physically-constrained machine learning models of effective electronic Hamiltonians
2025 · cited by 0
Notes that accurate solutions of the Schrödinger equation require large basis sets.
INSPIRE-HEP: Improving the Qubit-Efficiency of Quantum Algorithms for the Electronic Structure Problem Using Orbital Optimization
2024 · cited by 0
Discusses basis set truncation error in solving the Schrödinger equation for electronic structure.
NASA Technical Reports Server: Computing Highly Accurate Spectroscopic Line Lists for Characterization of Planetary Atmospheres: CO2 and SO2 Line Lists Needed for Modeling Venus
2019 · cited by 0
Uses variational methods and quantum chemistry methods to solve the nuclear Schrödinger equation.
OSTI: Many-Body Basis Set Amelioration Method for Incremental Full Configuration Interaction
2025 · cited by 0
Explains systematic improvement and amelioration of basis sets to solve the Schrödinger equation.
Everything we examined (19)
  1. Wikipedia: Schrödinger equationreferencesupports
  2. Book: EPR Spectroscopyreferenceno side takennot shown: read and judged not to bear on this claim
  3. OpenAIRE: Physically-constrained machine learning models of effective electronic Hamiltonianspeer-reviewedsupports
  4. Nature: Protecting a bosonic qubit with autonomous quantum error correctionpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  5. Nature: Entanglement with negative Wigner function of almost 3,000 atoms heralded by one photonpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  6. J.Phys.A: Algebraic discrete quantum harmonic oscillator with dynamic resolution scalingpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  7. INSPIRE-HEP: Improving the Qubit-Efficiency of Quantum Algorithms for the Electronic Structure Problem Using Orbital Optimizationpeer-reviewedsupports
  8. INSPIRE-HEP: On the characterization of nuclear many-body correlations in the ab initio approachpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  9. NASA Technical Reports Server: Advancements and Current Status of Direct Field Acoustic (DFA) Testing Since Inceptionprimary-datano side takennot shown: read and judged not to bear on this claim
  10. NASA Technical Reports Server: Computing Highly Accurate Spectroscopic Line Lists for Characterization of Planetary Atmospheres: CO2 and SO2 Line Lists Needed for Modeling Venusprimary-datasupports
  11. NASA Technical Reports Server: Lunar Sunrise Orbits and Applications to NASA CLPS Missionsprimary-datano side takennot shown: read and judged not to bear on this claim
  12. Physics Letters. B: Variational neural network approach to QFT in the field basispeer-reviewedno side takennot shown: read and judged not to bear on this claim
  13. OSTI: A Comparison of Three Neodymium Atomic Data Sets for Kilonova Modelingpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  14. OSTI: Many-Body Basis Set Amelioration Method for Incremental Full Configuration Interactionpeer-reviewedsupports
  15. Nature Reviews Chemistry: Foundation models for atomistic simulation of chemistry and materialspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  16. No journal information: Neural-network quantum states for the nuclear many-body problemprimary-datano side takennot shown: read and judged not to bear on this claim
  17. Communications: Intramolecular basis set superposition error as a measure of basis set incompleteness: Can one reach the basis set limit without extrapolation?peer-reviewedsupports
  18. Approaching the basis set limit in Gaussian-orbital-based periodic calculations with transferability: Performance of pure density functionals for simple semiconductors.peer-reviewedsupports
  19. Multireference exciplex binding energies: Basis set convergence and errorpeer-reviewedsupports
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first checked05 Aug 2026
judged → SUPPORTED · 8405 Aug 2026
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