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Related Experiment Videos

Twist in chiral interaction between biological helices.

A A Kornyshev1, S Leikin

  • 1Research Center "Jülich," D-52425 Jülich, Germany.

Physical Review Letters
|October 6, 2000
PubMed
Summary

Long, rigid, chiral molecules with helical charges exhibit a specific interaxial angle related to their dimensions. This finding may explain small angles observed in alpha-helix bundles and DNA cholesteric phases.

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Area of Science:

  • Molecular Physics
  • Supramolecular Chemistry
  • Biophysics

Background:

  • Long, rigid molecules with helical surface charge patterns are prevalent in biological systems and materials science.
  • The precise arrangement and interaxial angles of such molecules are crucial for their self-assembly and function.
  • Existing models struggle to fully explain the observed small interaxial angles in certain systems like alpha-helix bundles and DNA cholesteric phases.

Purpose of the Study:

  • To derive an exact theoretical solution for the pair interaction potential of long, rigid, chiral molecules with helical surface charge patterns.
  • To determine the preferential interaxial angle for these molecules based on their physical parameters.
  • To provide a potential explanation for the experimentally observed small interaxial angles in specific molecular assemblies.

Main Methods:

  • Utilizing an exact analytical solution for the pair interaction potential between chiral molecules.
  • Deriving a formula for the preferential interaxial angle based on molecular length (L), closest distance between axes (R), and helical pitch (H).
  • Applying the derived formula to estimate interaxial angles in relevant biological and material systems.

Main Results:

  • A formula for the preferential interaxial angle was derived: approximately sqrt(RH)/L.
  • This theoretical angle is dependent on the molecular dimensions and helical pitch.
  • Estimates using this formula align with experimentally observed small interaxial angles.

Conclusions:

  • The study provides a theoretical framework to understand the self-assembly of chiral molecules with helical surface charges.
  • The derived formula offers a quantitative explanation for the puzzle of small interaxial angles in alpha-helix bundles and cholesteric phases of DNA.
  • This work contributes to the understanding of molecular organization in complex biological and synthetic systems.

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