Abstract
The article is devoted to the search for a concise answer to the question: how does the nucleus of a crystal arise? Although a simple and complete answer is impossible at the same time, an attempt has been made to clarify the problem in three aspects: according to which principle particles are combined into a nucleus, which nucleus have a chance to become crystal, and from which atomic configuration it can be recognized. To model the small polyhedral clusters, the principle of equal immediate environment is proposed. It is shown that such clusters with an odd number of atoms are impossible. Small polyhedral clusters should grow by attaching pairs of atoms. Previously, this was known for fullerenes because of their specific geometry. The topic is important because of the coverage of various quasi- and non-crystalline structures by crystallography and mineralogy.
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