Dihedral Angle

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dihedral angle

[dī′hē·drəl ‚aŋ·gəl]
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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

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.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
The calculated inter-atomic bond lengths di (i= 1 to 14) and dihedral angles [[theta].sub.i], (i= 1 to 3) (Figure 3), and their optimized values are summarized in Table 1 and Table 2 respectively.
Figure 1: Dihedral angle (the angle formed by the plane created by atoms A, B, and C, and the plane created by atoms B, C, and D)
Caption: Figure 3: Relation diagram between dihedral angle and pose angle.
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If [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] are adjacent facets of P incident to [upsilon], then the Euclidean dihedral angle between [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is equal to the hyperbolic dihedral angle between the supporting hyperplanes [B.sub.1] and [B.sub.2] in [H.sup.3] (cf.
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Schein developed a way of measuring warpedness, called the dihedral angle discrepancy.
These angles formed between lines of the same faces referred to as dihedral angle discrepancies means that, according to Schein and Gayed, the shape is no longer a polyhedron.