Long-range order violation

It should be emphasized that if the concentration range is greater than one order of magnitude (long-range calibration), violations of the constant variance assumption of OLS are frequent. Especially, homoscedasticity is rarely found hence, a more general model needs to be applied. 

In 1984 a very unusual metallic alloy was discovered [21]. The structure of this alloy was characterized by the simultaneous presence of the five-order symmetry and the long-range ordering of atoms (this combination is fully impossible from the point of view of classical crystallography). The active discussion, scepticism, and refusal from the side of representatives of traditional crystallography were initiated by this discovery. The accusations of both violation of the first principles and false-scientificy in treating of the obtained results were... 

Gubanov, A. I. Scattering of Electrons in a Liquid Due to Violation of Long Range Order. Soviet Phys. JETP (English Transl.) 3, 854 (1957). 

The inclusion of a small amount of interplanar hopping does not significantly affect the results, but ensures that superconducting long-range order in the present model (in contradistinction with purely intraplanar schemes) will not violate the important... 

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