Residual splitting, determination

Bethe ( 4) pointed out that when the free-ion is put into a crystal the electric fields distort the isotropy of free space. This causes a splitting in the free-ion energy levels, with any residual degeneracy determined by the symmetry of the crystal. 

Compound 217 when irradiated with a high-pressure mercury lamp takes another course, as Constenla has found. In the first step the acetyl group migrates to position 2, but the stereochemistry of this photoproduct 218 has not yet been determined. This step is analogous to a photochemical Fries rearrangement. In the next step the phosphorus residue is split off and 2.4.6-triphenyltoluene 219 can be isolated. 

In this case, conversely to the residual variance, we can propose two zero hypotheses the first is HjqI the variance of the response values determined by the change of factor Xj has the same value as the residual variance the second one is H20 the variance of the response values (when X2 factor changes) is similar to the residual variance . With these hypotheses we indirectly start the validation of two others assumptions (i) the equality of the mean values of the lines (related to Hjo), (ii) the equality of the mean values of the columns (related to H2o°)-The splitting of the total variance into parts associated to Table 5.41 follows a procedure similar to that for the analysis of the variances of a monofactor process, as previously explained. In this case, we introduce the sums of the squares Sj, S2,... 

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