Abstract
The one-particle-constrained-to-a-M\obius-strip model is studied quantum mechanically. The results are used to account for the chemical concept of M\obius aromaticity. In addition, the one-particle-in-a-cylinder model is used to explain the H\uckel aromaticity. Using the principles of quantum mechanics and applying the appropriate boundary conditions, the $4$$N$ $+$ $2$ and $4$$N$ electrons aromaticity rules are confirmed for these two types of aromaticity. A numerical technique for obtaining an exact solution of the Schr\odinger equation of the M\obius model is also suggested.
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