Minimum Number of Hexagons

The expression of as a function of for single coronoids is obtained from eqn. (3.61) on inserting g= 1  

Here again the sign of equality is appropriate. This expression is also obtainable directly from 

In any extremal single coronoid, A, one has clearly h = min z however, this does not give the full information on the desired function, since A systems do not exist for every n - see 

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The interesting and important question about the smaUest multiple coronoids is stiU an open problem. The tentative solution presented below is not supported by rigorous proofs. A precise formulation of the problem is Find the minimum number of hexagons for a polyhex when g is given. In other words, determine the function From the systematic... 

An extremal polyhex is characterized by having the minimum number of hexagons for a given number of internal vertices h = 9)- I Cf it be mentioned by passing that this... 

Maxinmin Number of Internal Vertices, and Minimum Number of Hexagons... 

We have calculated the free energy of assembly of N parallel polyions in a hexagonal array up to seven shells, and the results are plotted in Figure 10. The free energy first decreases with an increasing number of polyions, then hits a minimum and increases with further growth of the cluster. The minimum signifies stability of a finite-sized cluster. 

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