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The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene π orbitals.
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

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 slanted or...
Correspondence Bias01:17

Correspondence Bias

Correspondence bias, also referred to as the fundamental attribution error, describes the tendency to attribute another person’s behavior to internal characteristics rather than situational influences. This cognitive bias leads individuals to overlook external factors that may be influencing actions, thereby fostering potentially inaccurate assessments of others’ intentions and dispositions.Empirical Evidence for Correspondence BiasResearch has consistently demonstrated the prevalence of...
Free Energy Changes for Nonstandard States03:25

Free Energy Changes for Nonstandard States

The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:

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Related Experiment Video

Updated: May 28, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Stronger quantum correlations with loophole-free postselection.

Matty J Hoban1, Dan E Browne

  • 1Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom. m.hoban@ucl.ac.uk

Physical Review Letters
|October 27, 2011
PubMed
Summary
This summary is machine-generated.

Quantum mechanics exhibits nonclassical correlations violating Bell inequalities. This study introduces loophole-free postselection in multiparty Bell tests, enhancing quantum correlations and linking them to nonclassical computation.

Related Experiment Videos

Last Updated: May 28, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Area of Science:

  • Quantum Information Science
  • Foundations of Quantum Mechanics

Background:

  • Quantum mechanics predicts correlations violating Bell inequalities, a hallmark of nonclassicality.
  • Local hidden variable (LHV) theories are constrained by Bell inequalities, but experimental loopholes can allow LHV explanations for observed violations.

Purpose of the Study:

  • To introduce a new operational framework for multiparty Bell tests.
  • To demonstrate a loophole-free postselection method for Bell tests.
  • To explore the connection between quantum correlations and nonclassical computation.

Main Methods:

  • Development of a clean, operational picture for multiparty Bell tests.
  • Introduction of a novel postselection technique that is loophole-free.
  • Analysis of how postselection affects quantum correlations.

Main Results:

  • A non-trivial form of loophole-free postselection is identified for multiparty Bell tests.
  • The proposed postselection method can enhance quantum correlations.
  • A direct link is established between nonclassical correlations and nonclassical computation.

Conclusions:

  • The findings offer a new perspective on Bell tests and quantum correlations.
  • Loophole-free postselection provides a powerful tool for probing quantum mechanics.
  • This work opens avenues for utilizing enhanced quantum correlations in nonclassical computation.