Page last modified 21:36, 3 Nov 2009 by JLemkul?

Dihedral

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A dihedral angle is the angle that occurs between two planes defined by four atoms.

Proper Dihedrals

A proper dihedral consists of four atoms, joined linearly through bonds.  These dihedrals can be represented either by a periodic or Ryckaert-Bellemans potential.

 

Periodic Dihedrals

A periodic dihedral is represented by a cosine function of the form

Vdijkl) = kφ(1 + cos(nφ - φs)) 

 

Ryckaert-Bellemans Dihedrals

The form of a Ryckaert-Bellemans dihedral is given as

Vrbijkl) = ΣCn(cos(ψ))n

The above expression is evaluated for values of n from 0 to 5, and ψ is given as φ - 180°. Note that the OPLS force field uses a modified form of a Ryckaert-Bellemans dihedral, a Fourier function.

 

Improper Dihedrals

An improper dihedral is used to keep planar groups (like rings) planar.  This dihedral type can also be used to prevent interconversion of stereocenters.

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