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Consider a scenario where a circular shaft is subject to torque that remains within the boundaries of Hooke's Law, avoiding any permanent deformation. So, the formula for shearing strain is revisited. This formula is multiplied by the modulus of rigidity, and then Hooke's Law for the shearing stress and strain is applied. As a result, the equation for shearing stress in a shaft can be derived.
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Updated: Oct 3, 2025

Testing of all Six Semicircular Canals with Video Head Impulse Test Systems
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On the Endocircular Li@C16 System.

Yi-Fan Yang1, Lorenz S Cederbaum1

  • 1Theoretical Chemistry, Institute of Physical Chemistry, University of Heidelberg, Heidelberg, Germany.

Frontiers in Chemistry
|February 21, 2022
PubMed
Summary
This summary is machine-generated.

The flexible Li@C16 system forms stable isomers due to Li+ interactions. Its electronic properties suggest potential as a future catalyst candidate.

Keywords:
ab intio calculationcharge-separatedelectronic structurenoncovalant interactionsvan der vaals forces

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Area of Science:

  • Computational chemistry
  • Materials science

Background:

  • Endocircular systems, like Li@C16, can form charge-separated and van der Waals complexes.
  • Understanding their structural and electronic properties is key for novel applications.

Purpose of the Study:

  • To investigate the structural flexibility and electronic properties of the endocircular Li@C16 system.
  • To explore the formation of isomers and their ground states.

Main Methods:

  • Utilizing the equation-of-motion coupled-cluster method.
  • Analyzing the interactions between the Li+ cation and the C16 ring.

Main Results:

  • The C16 ring exhibits significant flexibility and can undergo large distortions.
  • The Li@C16 system forms multiple isomers with distinct ground states due to guest-host interactions.
  • The electronic structure reveals promising characteristics for catalytic applications.

Conclusions:

  • The Li@C16 system demonstrates remarkable structural adaptability and electronic complexity.
  • Its potential as a catalyst candidate warrants further investigation.