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 ?
An ideal polytope P is called Coxeter if the dihedral angles of edges of P are submultiples of [pi].
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.
The flux should produce a fine mist when atomized as well as removing oxides from surfaces to be soldered, decreasing the dihedral angle for solder wetting.
We calculated the structural characteristics of dihedral angle, molecular volume, molecular surface area, p[K.
The visible angle made by lines AB and AC is relative to a point e; we have equated it with the dihedral angle made by the planes eAB and eAC.
The dihedral angle contributes to the total dihedral effect of the aircraft and, in turn, to the aircraft's stability in the "spiral mode.
Disilene [pi] ([pi]Si) and aromatic [pi] ([pi]C) systems are almost perpendicular to each other with the dihedral angle of 88[degrees], 83[degrees], and 80[degrees] for 51a, 51b, and 51c.
The ethano bridged 2 compound of smaller dihedral angle showed much higher activity than 1 compound.
The dihedral angle is OMV where M is the mid-point of AB.
where the dihedral angle, [Phi], is defined by the three bond vectors between four adjacent atoms (i, j, k, and l).
As it is evident from the dihedral angle values narrated in Table-4, the calculated and experimental values are either close to zero or 180o, which is clear indication that compound, has attained planarity.