Of an angle

Example I he distance between two ends of a large, flexible mole-cti le can provide in form ation about its structural properties or its interaction with solven t.. An alysis of an angle can reveal a h in ged motion in a rn acrorn olecu le. 

This term is associated with the deformation of an angle from its normal value. For small displacements from ec nilibnuni, a harmonic function is often used ... 

The electronic structure of an infinite crystal is defined by a band structure plot, which gives the energies of electron orbitals for each point in /c-space, called the Brillouin zone. This corresponds to the result of an angle-resolved photo electron spectroscopy experiment. 

While technically correct, however, alignment calculations do not require the use of an angle value in degrees. Note that it is common industry practice to refer to the following value as Angle A , even though it is not truly... 

While nonbonded atom pairs will typically not come within 1A of each other, it is possible for covalently bound pairs, either directly bounds, as in 1-2 pairs, or at the vertices of an angle, as in 1-3 pairs. Accordingly it may be considered desirable to omit the 1-2 and 1-3 dipole-dipole interactions as is commonly performed on additive force fields for the Coulombic and van der Waals terms. However, it has been shown that inclusion of the 1-2 and 1-3 dipole-dipole interactions is required to achieve anistropic molecular polarizabilites when using isotropic atomic polariz-abilites [50], For example, in a Drude model of benzene in which isotropic polarization was included on the carbons only inclusion of the 1-2 and 1-3 dipole-dipole interactions along with the appropriate damping of those interactions allowed for reproduction of the anisotropic molecular polarizability of the molecule [64], Thus, it may be considered desirable to include these short range interactions in a polarizable force field. 

The supplement of an angle is equal to three times the complement. What is the angle ... 

Which of the following statements best describes the vertex of an angle ... 

Sinusoidal fitting is more flexible than Fourier methods, as it does not require evenly spaced phase steps. There is no special convenience associated with sampling of an angle of 2n and estimation of errors in parameters is somewhat more straightforward. 

For powder EPR in perpendicular mode Bx lies in a plane perpendicular to B, and Bx samples all possible orientations in this plane. We define a vector v in this plane by means of an angle a between Bx and v. Then, the direction cosines of Bx are... 

Solution It is convenient to rewrite the 2 x 2 overlap matrix S in terms of an angle 9 such that... 

Figure 10. Distribution of orientations for water molecules adjacent to the exocyclic methylene carbon atom C6 as calculated from a molecular dynamics simulation of a-D-glucopyranose in aqueous solution. The function plots the frequency of occurrence of an angle between the water OH bond vectors and the vector from the carbon atom to the water oxygen atom. A value of cos( ) of 1.0 corresponds to an OH bond vector pointing directly away from the carbon atom. (Reproduced from Ref. 32. Copyright 1989 American Chemical Society.)...

Very few studies have appeared in the literature that specifically address the intimate contact of an angle ply [+0/—0] interface. In a study reported by Li and Loos [22], APC-2 laminates,... 

Each term in (1) is represented by a simple mathematical expression as exemplified in (2), where the k are appropriate force constants, 0 are bond angles, r are torsion angles, n is the torsional periodicity parameter, is the torsion offset, p are partial atomic charge, s is the dielectric constant, A and are Lennard-Jones vdW parameters, and the summations run over bonded atom pairs (ij), angle triples (ijk) and torsional quadruples (ijkl). The nonbonded terms are summed over the distances, d,j, between unique atom pairs excluding bonded pairs and the atoms at either end of an angle triple. For the atoms at the ends of a torsion quadruple, the nonbonded term may be omitted or scaled. 

With the definition of an angle-dependent refractive index term is as follows ... 

The angular distribution of the intensity of electromagnetic radiation is given by specific analytic functions written in terms of an angle, W(Q,mi), relative to the quantization axis, Z, and the magnetic quantum number, mi. The patterns depend on the order of the multipole, dipole, quadra pole, and so forth, but they are the same for electric and magnetic transitions with the same order. For example, the angular distributions for dipole radiation are... 

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