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Related Concept Videos

¹H NMR of Conformationally Flexible Molecules: Temporal Resolution00:52

¹H NMR of Conformationally Flexible Molecules: Temporal Resolution

At room temperature, the chair conformer of cyclohexane undergoes rapid ring flipping between two equivalent chair conformers at a rate of approximately 105 times per second. These two chair conformers are in equilibrium. The rapid ring flipping results in the interconversion of the axial proton to an equatorial proton and an equatorial to the axial proton. Such interconversions are too rapid and cannot be detected on the NMR timescale. Hence, the NMR spectrometer cannot distinguish between the...
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The axial and equatorial protons in cyclohexane can be distinguished by performing a variable-temperature NMR experiment. In this process, except for one proton, the remaining eleven protons are replaced by deuterium. The deuterium substitution avoids the possible peak splitting caused by the spin-spin coupling between the adjacent protons. The remaining proton flips between the axial and equatorial positions.
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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...

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Updated: Jun 19, 2026

Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

Conical intersections in laboratory coordinates with ultracold molecules.

Alisdair O G Wallis1, S A Gardiner, Jeremy M Hutson

  • 1Department of Chemistry, Durham University, South Road, Durham, DH1 3LE, United Kingdom.

Physical Review Letters
|October 2, 2009
PubMed
Summary
This summary is machine-generated.

Electric and magnetic fields induce geometric phase effects in ultracold polar molecules. This leads to stable superfluid flow states with half-integer quantized angular momentum in Bose-Einstein condensates.

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Last Updated: Jun 19, 2026

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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

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Published on: March 30, 2017

Area of Science:

  • Quantum physics
  • Atomic and molecular physics
  • Condensed matter physics

Background:

  • Two states of opposite parity can cross under an external magnetic field.
  • Electric fields break symmetry, inducing avoided crossings and conical intersections.
  • Geometric phase effects are crucial in quantum systems.

Purpose of the Study:

  • Investigate the impact of geometric phase on ultracold polar molecules.
  • Explore the creation of conical intersections using electric and magnetic fields.
  • Analyze the resulting superfluid flow in Bose-Einstein condensates.

Main Methods:

  • Applying combined electric and magnetic fields to polar molecules.
  • Utilizing the mean-field approximation for Bose-Einstein condensates.
  • Analyzing the geometric phase effects on quantum states.

Main Results:

  • An electric field induces an avoided crossing between states of opposite parity.
  • A conical intersection can be formed as a function of spatial coordinates.
  • Geometric phase effects lead to stable states of persistent superfluid flow.

Conclusions:

  • Ultracold polar molecules exhibit unique behavior under combined fields.
  • The geometric phase is key to achieving persistent superfluid flow.
  • Bose-Einstein condensates can support half-integer quantized angular momentum states.