Abstract
Possible mechanisms of the formation of a long-period structure in the MnCoSi compound are considered. It is established that the invariants containing the first spatial derivative of the irreducible magnetic vectors in different powers play a key role in the theoretical description. It is shown that when a spiral structure is formed by only antiferromagnetic vectors, the ferromagnetic vector can also be spontaneously involved. In this case, the orthogonality of rotating vectors is violated. The consideration is performed taking into account the approximated constancy of the irreducible-vector moduli and disregarding it. This approach made it possible to consider the magnetic superstructure evolution with a change in temperature.
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