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Abstract

The expression ‘Modular Analysis’ (MA) refers to objects which are amenable to general considerations and definite conclusions in terms of some modules constituting the objects. The modular analysis of crystal structures (henceforth MACSs) includes the following aspects: modular interpretation, description, relationships in sets of CSs having common modular features, analytical means for consideration and operations with MSs revealing their independence or equivalence, lattice, symmetry and diffractional scattering power, derivation-identification of real and derivation-prediction of hypothetical MSs, simulation of MS models and calculation of diffractional characteristics.

The modular aspect of crystal structures provides a clear description more expressive than formal tables of atomic coordinates. It presents separate CSs not as isolated objects but in their relationships to other CSs which have some common modular features. The symmetries of MSs combine features of the single modules and of their spatial arrangement. Symmetry here is not only a characteristic feature but serves also as an explanation for the origin and existence of the MS diversities. For this latter aspect there is a problem of definitions and nomenclature which should help to get an adequate understanding of the nature of matter, avoiding ambiguity, unnecessary complications and confusions. The requirement of usefulness should be the main criterium in the use of different terms. It is desirable to have terms belonging to the common language and of general use, which directly express their sense without resorting to unusual and exotic terminologies. The nomenclature may concern modular series and sets depending on the module combinations

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