Molecular Gauss

Helgaker T, Gauss J, J0rgensen P and Olsen J 1997 The prediction of molecular equilibrium structures by the standard electronic wave functions J. Chem. Phys. 106 6430-40... 

HeH+ analyt-gauss first asymptotic molecular treatment 37... 

For the transformation of the macrocomposite model to a molecular composite model for the ultimate strength of the fibre the following assumptions are made (1) the rods in the macrocomposite are replaced by the parallel-oriented polymer chains or by larger entities like bundles of chains forming fibrils and (2) the function of the matrix in the composite, in particular the rod-matrix interface, is taken over by the intermolecular bonds between the chains or fibrils. In order to evaluate the effect of the chain length distribution on the ultimate strength the monodisperse distribution, the Flory distribution, the half-Gauss and the uniform distribution are considered. 

The chemical shift is generally a sensitive function of the type of chemical environment around a nucleus. The magnitude of the shift is relatively small for protons, due to the fact that only one or two electrons surround the proton in chemical compounds. However, for heavier elements such as fluorine, it becomes quite large the F magnetic resonance of HF and Fj being separated by about 6 gauss at 10,000 gauss applied field. The chemical shift is a useful parameter in the study of molecular and solid state structure. 

FIGURE 1.2 Plot of detector current resulting from refocused molecular beam as a function of the value of the field of magnet C. One ampere corresponds to 18.4 gauss. A radio frequency of 3.518 MHz was applied. From Rabi et alP... 

However, the authors do not claim that these three main strategic lines in company of CETO functions constitute the unique way nor the best path to solve the molecular integral problem directed to find plausible substitutes of GTO functions. Other integration methods to deal with the present discussion can be used and analyzed, for instance Fourier, Laplace or Gauss transform methodology or any other possible choices and techniques available in the modem mathematical panoply. 

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