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dihedral angle

dihedral angle

1 8.8
The angle between two flat surfaces that meet along a line
  • noun
  • /daɪˈhɛdrəl ˈæŋɡəl/
  • Specialized
translation icon : ángulo diedro
  • During recrystallization driven by the minimization of interfacial energies, the 'canary in the coal mine' is the dihedral angle, as this is the first part of the microstructure that will change.
  • melt-dihedral angle
  • solid dihedral angle
  • equilibrium dihedral angle

So if we have a non planar system, we can say that beta is a function of the dihedral angle.

Examples

  • Highlighted carbon atoms are those involved in dihedral angles C-C-O-C and C-C-O-B as mentioned in the text; see PDF for image.

    Academic text (2018)
  • The equilibrium dihedral angle for the cases under consideration here is reported in Table 4.

    Academic text (2018)
  • In fact, the dihedral angle decreases from 81 to 61 (9) degrees, a tendency also confirmed by the NMR value of 53 degrees measured for the analog complex in water.

    Academic text (2001)
  • In the subsolidus regime, textural equilibration, therefore, generally involves an increase in dihedral angles at three-grain junctions, and this also occurs by progressive rotation of large areas of interface.

    Academic text (2018)
  • Grain junctions are formed at the intersection of planar interfaces, with no evidence of modification towards the equilibrium melt-solid-solid dihedral angle (examples are arrowed).

    Academic text (2018)
  • The dihedral angle is crucial for understanding the structure of complex molecules in chemistry.

  • In geometry, the dihedral angle between two planes can be measured using a protractor.

  • A dihedral angle of 90 degrees indicates that the two planes are perpendicular to each other.

Synonyms

angle
vsdihedral angle
  • Specialized
401 2.5

The space between two lines or surfaces that meet at a point

is specifically the measure formed by two intersecting planes
torsion angle
vsdihedral angle
  • Specialized
7.8

An angle between two flat surfaces that meet and help show a molecule's shape

is broader and used across fields, not only in molecular contexts

How Big

reflex angle
  • Specialized
5.8
obtuse angle
  • Specialized
1 3.4
dihedral angle
  • Specialized
1 8.8
right-angled
1 3.6
acute angle
  • Specialized
1 2.8

Surface Forms

Morphology

dihedral + angle

The term is fully compositional: 'dihedral' denotes a relation between two planes and 'angle' denotes a geometric measure, so 'dihedral angle' straightforwardly means the angle between two intersecting planes. Although 'dihedral' is technical, if a learner knows both constituent meanings the overall sense is directly derivable and not idiomatic.

Etymology

Dihedral angle comes from a simple picture: imagine two flat boards meeting like an open book or the two sides of a roof. So it means 'the angle formed between two flat surfaces'.