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There has been a puzzle between experiments and theoretical predictions onthe charge ordering of layered titanium-oxypnictides superconductors.Unconventional mechanisms to explain this discrepancy have been argued so far,even affecting the understanding of superconductivity on the compound. Weprovide a new theoretical prediction, by which the discrepancy itself isresolved without any complicated unconventional explanation. Phonon dispersionsand changes of nesting vectors in Fermi surfaces are clarified to lead to thevariety of superlattice structures even for the common crystal structures whenwithout CDW, including orthorhombic $2 \times 2 \times 1$ one forBaTi$_2$As$_2$O, which has not yet been explained successfully so far, beingdifferent from tetragonal $\sqrt{2} \times \sqrt{2} \times 1$ forBaTi$_2$Sb$_2$O and BaTi$_2$Bi$_2$O. The electronic structure analysis cannaturally explain experimental observations about CDW including most latestones without any cramped unconventional mechanisms.

Phonon dispersions and Fermi surfaces nesting explaining the variety of charge ordering in titanium-oxypnictides superconductors