Cubic angle

An alternative description of the octahedral crystal field is possible by choosing the threefold rotation axis as the quantization axis (z-axis). The angular coordinates for the ligands according to the threefold rotation axis can also be found in table 11. They-axis coincides with the twofold rotation axis and the x-axis is perpendicular to both the y and z-axis, forming a right-handed coordinate system. 6 is restricted to the cubic angle... 

Force fields like MM3, MM4, CFF, or MMFF therefore use cubic and/or quartic or even higher contributions, up to the sixth power. Special attention has to be paid in the case of reference angles approaching 180°, e.g., for molecules with linear firag-ments such as acetylene compounds. In this circumstance, replacing Eq. (23) by a... 

A larger value for the bending force constant K0 leads to a greater tendency for the angle to remain at its equilibrium value 0g. There may be cubic, quartic, etc. terms as with the corresponding bond stretch term in addition to the quadratic term shown here. 

Grade Angle of repose Bulk density (lbs. /cubic feet)... 

In some literature A or /3 is used instead of it is essential to use because A is used for thermal conductivity and )3 is used for cubic expansion of air or an angle. 

To find the equilibrium form of a crystal, the following Wullf construction [20] can be used, which will be explained here, for simplicity, in two dimensions. Set the centre of the crystal at the origin of a polar coordinate system r,6. The radius r is assumed proportional to the surface tension 7( ), where 6 defines the angle between the coordinate system of the crystal lattice and the normal direction of a point at the surface. The anisotropy here is given through the angular dependence. A cubic crystal, for example, shows in a two-dimensional cut a clover-leaf shape for 7( ). Now draw everywhere on this graph the normals to the radius vector r = The... 

Values for Ihe gas phase are sirtrilar bin there is a notice-able conlfaction in the cubic crystalline form (in parenlhe-ses). N - N 175 pm (164 pm). N - O 118 pm (117 pm), angle O-N-0 133.7 (126°). In addition, infrared studies on N2O4 isolated in a low-temperature matrix at liquid nitrogen temperature ( - 1%°C) have been interpreted in terms of a twisted... 

Figure 6 SAXS intensity distributions for MC2 film in the small-angle region. The arrows show the scattering maxima. The values in parentheses indicate the cubic packing (dl/di) [25],...

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