Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

554
The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
554
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

1.1K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.1K
NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

722
When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
722
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

726
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
726
¹H NMR: Complex Splitting01:13

¹H NMR: Complex Splitting

1.3K
A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...
1.3K
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule01:10

Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

1.4K
In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the...
1.4K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Coulomb explosion imaging identifies a K-CsI complex formed at the surface of helium nanodroplets.

The Journal of chemical physics·2026
Same author

The primary near-UV photochemistry of aqueous pyruvic acid.

Physical chemistry chemical physics : PCCP·2026
Same author

The primary deep-UV photochemistry of aqueous fumarate and maleate.

Physical chemistry chemical physics : PCCP·2026
Same author

Gauge-invariant long-wavelength TDDFT without empty states: From polarizability to Kubo conductivity across heterogeneous materials.

The Journal of chemical physics·2026
Same author

Wavefunction Optimization at the Complete Basis Set Limit with Multiwavelets and DMRG.

The journal of physical chemistry. A·2025
Same author

Combining the maximum overlap method with multiwavelets for core-ionisation energy calculations.

Physical chemistry chemical physics : PCCP·2025
Same journal

Nuclear Gradients from Auxiliary-Field Quantum Monte Carlo and Their Applications in ML-Driven Geometry Optimization and Transition State Search.

Journal of chemical theory and computation·2026
Same journal

Correction to "Cluster-in-Molecule Local Correlation Method with an Accurate Distant Pair Correction for Large Systems".

Journal of chemical theory and computation·2026
Same journal

Machine-Learned Force Fields for Lattice Dynamics at Coupled-Cluster Level Accuracy.

Journal of chemical theory and computation·2026
Same journal

Systematic Molecularity-Dependent Entropy Errors in Continuum/RRHO Solution Thermochemistry: Origin and Correction.

Journal of chemical theory and computation·2026
Same journal

After 100 Years of Quantum Mechanics: Toward a Constructive Observation-Centered Perspective.

Journal of chemical theory and computation·2026
Same journal

Sample-Based Quantum Diagonalization Methods for Modeling the Photochemistry of Diazirine and Diazo Compounds.

Journal of chemical theory and computation·2026
See all related articles

Related Experiment Video

Updated: Jul 19, 2025

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

8.2K

Quantifying Intramolecular Basis Set Superposition Errors.

Quentin Pitteloud1, Peter Wind1, Stig Rune Jensen1

  • 1Hylleraas Centre, Department of Chemistry, UiT the Arctic University of Norway, Tromsø N-9037, Norway.

Journal of Chemical Theory and Computation
|August 18, 2023
PubMed
Summary
This summary is machine-generated.

Medium-sized Gaussian basis sets cause significant errors in computational chemistry, artificially favoring compact molecular shapes. Larger basis sets or multiresolution methods are needed for accurate conformational analysis.

More Related Videos

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

8.5K
Picometer-Precision Atomic Position Tracking through Electron Microscopy
15:04

Picometer-Precision Atomic Position Tracking through Electron Microscopy

Published on: July 3, 2021

7.4K

Related Experiment Videos

Last Updated: Jul 19, 2025

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

8.2K
Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

8.5K
Picometer-Precision Atomic Position Tracking through Electron Microscopy
15:04

Picometer-Precision Atomic Position Tracking through Electron Microscopy

Published on: July 3, 2021

7.4K

Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Molecular modeling

Background:

  • Basis set superposition error (BSSE) is a known artifact in quantum chemical calculations.
  • Accurate conformational analysis is crucial for understanding molecular properties and interactions.

Purpose of the Study:

  • To quantify intramolecular basis set superposition errors (BSSE) in medium-sized Gaussian basis sets.
  • To evaluate methods for mitigating BSSE in large molecular systems.
  • To assess the impact of BSSE on conformational preferences.

Main Methods:

  • Hartree-Fock (HF) and Density Functional Theory (DFT) calculations were performed.
  • Calculations utilized medium-sized Gaussian basis sets (e.g., polarized double zeta, polarized triple zeta).
  • Intramolecular BSSE was investigated for a 186-atom decapeptide.
  • Two BSSE correction procedures and multiresolution methods based on Multiwavelets were tested.

Main Results:

  • Significant intramolecular BSSE (up to ~80 kJ/mol) was observed with polarized double zeta basis sets.
  • Errors were reduced to ~10 kJ/mol with polarized triple zeta basis sets.
  • Larger basis sets (polarized quadruple zeta) or multiresolution methods were required to minimize BSSE below a few kJ/mol.
  • BSSE artificially stabilized compact conformations over extended ones.

Conclusions:

  • Medium-sized Gaussian basis sets introduce substantial intramolecular BSSE, impacting conformational stability.
  • Accurate conformational prediction necessitates larger basis sets or advanced techniques like multiresolution methods.
  • BSSE must be carefully addressed for reliable computational studies of large molecules.