These steric shape descriptors included several forms of molecular volume and shape quadrupoles, which essentially embody the length, width, and height of a conformer.
It is also found that the rate of diffusion is directly related to the molecular volume and shape of the diffusing molecule.
Thus, it can be inferred that the ETA indices encode important chemical information regarding not only the topological attributes, but also the effect of electronegativity, molecular volume, branching, shape parameter and nature of atoms and bonds, etc.
Even a small amount of high molecular weight species, from a tetramer for example, can cause a significant change in the observed relaxation rates, which in an oligomerization equilibrium are strongly dependent on the protein concentration as well as the molecular volume and shape of the species being measured.
As shown in Table 1, the 10-K set and the 734-K set have nearly identical average values and standard deviations for various molecular properties, such as the molecular volumes, steric shape quadrupole moments, heavy atom count, and feature counts, and are comparable to the entire PubChem3D contents.
The cation anion electrostatic interaction has the significant effects on the viscosity of imidazolium-based ILs, while other interactions (e.g., interionic hydrogen-bond, van der Waals) or micro-characteristics (e.g., molecular orbital, electronic population, dipole moment, volume, shape, branching degree, symmetry) also give some effects.
[Note that the ST thresh is the "maximum" ST value between clusters since the ST score is a similarity measure, not a dissimilarity measure.] If the clustering is performed using the same ST thresh value for a volume range, the shape diversity as a function of each molecular volume size may be evaluated by the growth of the number of reference shapes.
However, when a constant ST thresh value is used across a range of volumes, each increase in the molecular volume may result in a very rapid growth of the shape space, and hence, the number of reference shapes per volume.
We observed that the effect of molecular size and shape on diffusion is characterized by an effective molecular volume, Veff, instead of the liquid volume at 0 K. Veff is calculated from an effective molecular diameter which is obtained by applying a weighting function over the three dimensions of the solvent molecule.
Δ G* is the free energy barrier to the formation of a critical size nucleus given by 2Here F is the shape-dependent factor for crystal nuclei, ω is the molecular volume of the crystal, which equals 6.13 × 10 29 m per molecule for calcite, and α is the net interfacial energy.
