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Proton affinity is the negative of the enthalpy of protonation, generally at 298 K. To avoid some mathematical inconveniences that are introduced by this sign convention, we will use enthalpies of protonation rather than proton affinities.
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The factor of 2 in the denominator of the term in β did not appear in our earlier treatments, refs 1 and 2, but should have been included to correctly count the number of interactions. As a result, the value of the one significant β coefficient, o (o - 1), is twice as large here as in the previous work, ref 1.
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The factor of 2 in the denominator of the term in β did not appear in our earlier treatments, refs 1 and 2, but should have been included to correctly count the number of interactions. As a result, the value of the one significant β coefficient, o (o - 1), is twice as large here as in the previous work, ref 1.
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For instance, for C3 in 3-fluoro-o-xylene the appropriate row in the matrix is 0,1,1,0,1,0,0,0, indicating first the number of methyl substituents at each location relative to C3 in the order i, o, m, p and then the number of fluoro substituents, i, o, m, p.
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For instance, for C3 in 3-fluoro-o-xylene the appropriate row in the matrix is 0,1,1,0,1,0,0,0, indicating first the number of methyl substituents at each location relative to C3 in the order i, o, m, p and then the number of fluoro substituents, i, o, m, p.
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It is legitimate to ask whether or not there is circular reasoning here. The points for the line A?1 do not fall where expected. Possibly it is this discrepancy alone that gives rise to the nonlinear terms i o and i p. If this were the case, then, indeed, the argument would be circular. In reality, however, the value for the i o component is based on 10 measurements and that for the i p is based on 8 measurements. Thus, these values can be established even without including the points on line A 1
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It is legitimate to ask whether or not there is circular reasoning here. The points for the line A?1 do not fall where expected. Possibly it is this discrepancy alone that gives rise to the nonlinear terms i o and i p. If this were the case, then, indeed, the argument would be circular. In reality, however, the value for the i o component is based on 10 measurements and that for the i p is based on 8 measurements. Thus, these values can be established even without including the points on line A 1.
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