Application of the Fundamental Building-Up Principle

Let us demonstrate the generation of all C42H20 h= 11, = 2) single coronoid isomers 

This analysis was particularly simple. Since the initial coronoids do not possess any mode hexagonS) it is ascertained that isomorphic systems cannot be generated from two different initial coronoids. Annelations do not affect the A values. Furthermore, an annelated normal coronoid is also normal. In total, we have so far generated 70 (53ti4-17o2) C42H20 isomers. 

Here again precaution was taken in order to avoid isomorphic systems. In particular, the two essentially disconnected (e) systems can each be generated from two initial coronoids. Under this point the number of generated C42H20 isomers is 11 (5n+2e4-4o2)- 

Altogether we have generated all the nonisomorphic C42H20 single coronoid isomers 82 (5971+26+2102) in consistency with the entries in Table 2. Also the distribution of corona holes is consistent with Table 4 72 naphthalene (h = 2, np = 0) holes, 9 phenalene (h = 3, ti-o = 1) holes, and 1 phenanthrene hP = 3, = 0) hole. 

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Example. The method of perforating benzenoids shall presently be exemplified by the C46H20 (h = 13, 71 = 6) single coronoid isomers. The application of the fundamental building-up principle would be somewhat laborious in this case it would imply the appropriate additions to (i) 2 C42H18, (ii) 37 C43H19 and (iii) 142 C44H20 coronoid isomers. 

Another policy in writing the book has been the attempt to base the deduction of all equations on first principles. What actually constitutes such principles is, to an extent, a matter of individual preference. Any attempt at definition would immediately lead one into the field of the professional philosopher. Such an intrusion the author is, above everything, anxious to avoid. Fie feels, however, that the attempt to build from the ground up has been accomplished in most of the subjects considered. Exceptions are, however, the extension of the Debye-Huckel theory, and the application of the interionic attraction theory to electrolytic conductance. In the latter case the fundamentals lie in the field of statistical mechanics, which cannot be adequately treated short of a book the size of this one, and which, in any case, would not be written by the author. 

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