In fact the bond length and coordination number are highly correlated: the larger the coordination number the longer the bond.
These spectra give mutually independent values for the bond length and coordination number around the activated cation.
This correlation is captured by the valence sum rule which can consequently be used as a constraint in the interpretation of the XAFS spectrum, ensuring that the refined bond length and coordination number are appropriately related.
Also, the CrO bond lengths, Cr coordination and oxidation state were determined after thermal treatments, thus confirming the interaction of the sub-carbonyl species with the siloxane groups.
The Al–O and Ca O bond lengths and coordination numbers derived from the calculated pair distribution functions are in good agreement with our previous X-ray and neutron works.
The systematic trends in the observed peak intensities and frequency shifts at the low, medium, and high frequency end of the spectrum for the various atoms in the two polymers are rationalized on the basis of bond-lengths, local coordination, strength of hydrogen bonding, and neighboring solvation environment.
Starting from concepts used to improve the hardness of a material, it is shown that the intrinsic hardness is highest for materials with low bond lengths, high coordination numbers, and low ionicities.
Distortion theorem; Keeping the bond valence sum constant, the average bond length in a coordination sphere increases the more the individual bond lengths deviate from their average.
Our centralized mechanism holds for any number of machines and arbitrary task lengths, while the coordination mechanism holds only for two machines and task lengths that are powers of a certain constant.
Indeed, the mutual information analysis found an optimal coordination length-scale of 114.33 μm+/-6.7 μm (SEM, N = 5), matching the optimal coordintation length-scale found in the SNR analysis (shaded region indicates SEM, N = 5).
Figure 12 Conformational elements, bond angles and lengths, of the coordination with acyclic polyoxyethylene (PEO) chains of different sizes [[16 20, 45]].
