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In connection with numerous X-ray and neutron investigations of some hightemperature superconductors (YBa$_2$Cu$_3$O$_{6+x}$ and related compounds) anon-trivial part of the structure factor, coming from partly disorderedCu-O-$\dots$-O-Cu chain fragments, situated within basal planes, CuO$_x$, canbe a subject of theoretical interest. Closely connected to such a diffusivepart of the structure factor are the correlation lengths, which are alsoavailable in neutron and X-ray diffraction studies and depend on a degree ofoxygen disorder in a basal plane. The quantitative measure of such a disordercan be associated with temperature of a sample anneal, $T_q$, at which oxygenin a basal plane remains frozen-in high temperature equilibrium after a fastquench of a sample to room or lower temperature. The structure factor evolutionwith $x$ is vizualized in figures after the numerical calculations. Thetheoretical approach employed in the paper has been developed for theorthorhombic state of YBCO.Comment: Revtex, 27 pages, 14 PostScript figures upon request, ITP/GU/94/0

physical review. b, condensed matter

Order and disorder in the ensemble of Cu-O chain fragments in oxygen-deficient planes of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">YBa</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Cu</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn…

Order and disorder in the ensemble of Cu-O chain fragments in oxygen-deficient planes ofYBa2Cu3