Dihedral Angle

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dihedral angle

[dī′hē·drəl ‚aŋ·gəl]
(mathematics)
The angle between two planes; it is said to be zero if the planes are parallel; if the planes intersect, it is the plane angle between two lines, one in each of the planes, which pass through a point on the line of intersection of the two planes and are perpendicular to it.

Dihedral Angle

 

a figure formed in space by two half-planes emanating from a single straight line and also the portion of space bounded by these half-planes (see Figure 1).

Figure 1.

The half-planes are called the faces of the dihedral angle and their common straight line the edge. The dihedral angle is measured by the linear angle, that is, the angle α between two perpendiculars to the edge that emanate from one point and that lie in the different faces or, in other words, the angle formed by the intersection of the dihedral angle and a plane perpendicular to the edge.

References in periodicals archive ?
The decrease in the dihedral angles between the two adjacent subunits induced by the presence of [pi]-spacers groups is in the order of PFEBT > PFVBT > PFDTBT > PFBT, which increases the effective conjugation degree.
After an optimization procedure, the optimized dihedral angle ([theta]) reaches the value of about 33.
The difficulty is caused by overlap of van der Waals radii and repulsion before the two ends of a chain may become joined and, in the ring, by repulsions between transannular hydrogens and by unfavorable dihedral angles.