DIHEDRAL ANGLE Meaning and
Definition
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A dihedral angle refers to the angle formed between two intersecting planes in three-dimensional space. It is the measure of the separation or rotation between these two planes as they meet.
In geometry, a plane can be defined as a flat surface that extends infinitely in all directions. When two such planes intersect, they form a line of intersection. The dihedral angle is the angular measure between this line of intersection and a reference line contained within one of the planes. The reference line is usually chosen to be the line of intersection between the two planes and an arbitrary line within one of the planes.
The dihedral angle can be positive or negative, depending on the direction of rotation. If the rotation is clockwise when moving from the reference line to the line of intersection, the dihedral angle is considered positive. Conversely, if the rotation is counterclockwise, the dihedral angle is negative.
Dihedral angles have applications in various fields, such as mathematics, physics, engineering, and chemistry. They are particularly important in the study of crystallography, where the arrangement of atoms in a crystal lattice is often described in terms of dihedral angles. Understanding dihedral angles is also crucial in aerodynamics, as they influence the stability and control of aircraft wings and tail sections. Moreover, dihedral angles play a significant role in the study of molecular structures and the interactions between molecules in chemistry.
Common Misspellings for DIHEDRAL ANGLE
- sihedral angle
- xihedral angle
- cihedral angle
- fihedral angle
- rihedral angle
- eihedral angle
- duhedral angle
- djhedral angle
- dkhedral angle
- dohedral angle
- d9hedral angle
- d8hedral angle
- digedral angle
- dibedral angle
- dinedral angle
- dijedral angle
- diuedral angle
- diyedral angle
- dihwdral angle
- dihsdral angle
Etymology of DIHEDRAL ANGLE
The word "dihedral" is derived from the Greek roots "di-", meaning "two", and "hedra", meaning "seat" or "side". In geometry, a dihedral angle refers to the angle between two intersecting planes. The term was first introduced in English in the early 19th century, combining these Greek roots to describe a specific type of angle formed by two planes.
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