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‘If the right reflection matrix is added, the dihedral group D 6 can be made.’
‘During the simulated-annealing simulations, changes in the dihedral angles are generated randomly for both side-chain and main-chain dihedral angles.’
‘In each test, we compared simulations guided by the wriggling algorithm to ones guided by a standard thrashing algorithm in which the dihedral angles are varied independently.’
‘The 3D symmetries are identified by including dihedral angle information in the atom and molecular names so that two traversais match only if they are not only chemically equivalent but also conformationally equivalent.’
‘This difference is studied via contour plots of stacking probabilities as a function of the two central dihedral angles of the 3-atom linker.’
noun
1An angle formed by two plane faces.
‘Moreover, the fraction of stacked conformations for a given set of linker dihedrals is consistently greater for the bis-adenyl compounds than for the bis-naphthyl compounds.’
‘Over the final 2000 steps of the protein minimization procedure, there were no restraints on side-chain dihedrals nor harmonic restraints on atomic positions.’
‘There is no significant difference in the number of trans conformations along the alkyl chain dihedrals in the presence of PCP.’
‘Bond distances, angles, and dihedrals, as well as the force constants, were taken for analogy with amino acids having similar functional groups (tyrosine and serine).’
‘A reflectional symmetry is distinguished from a rotational symmetry by the fact that all dihedrals have their signs inverted, except for 180°, which is equivalent to 0°.’
2Aeronautics mass nounInclination of an aircraft's wing from the horizontal, especially upwards away from the fuselage.
‘Further, given that dihedral diminishes gliding performance, its infrequent use suggests that a premium is placed on maximizing lift to drag ratio (that is, maximizing efficiency) during gliding.’
‘Airplanes with high dihedral and the filler caps mounted far out on the wings won't show any level at all when there's still half-tanks aboard.’
‘The first nine B - 25s had wings of constant dihedral, and - from personal experience - they were fun and very easy to fly, being extremely stable.’
‘Towing is much easier with a glider with dihedral.’
‘This problem was countered by incorporating 15 degrees of dihedral in the horizontal tail, which initially had been virtually dead flat.’
3North American Climbing A place where two planes of rock meet at an angle of between 60° and 120°.
‘Leading the way, I arrive at a small tree that has somehow found a footing in the steep dihedral about seventy feet above the ground.’
‘I then fought through a bush around an overhang, and then ran it out over a short slab to a small ledge at the base of an easy looking dihedral.’
‘The predominance of the cracks and dihedrals seemed to fall between hard 5.9 and straight-on 5.11, offering no moderate exit/escape, but late the first day I found a likely-looking ramp that seemed to lead to the top.’
‘The dihedral, a corner inset in the rock face, is going to be even trickier to down-climb, and if it starts to rain, we could be in trouble.’
‘We meant to simply repeat his route, but several pitches up, where that route goes up and right into blocky cracks, we angled up and left into the obvious dihedral that shoots to the top of the wall.’
Origin
Late 18th century: from di- ‘two’ + -hedral (see -hedron).