We report the superlattice of the modulated structureDySe
1.84. The modulation is of thecharge density wave type, associated with electronic states on seleniumatoms arranged intwo-dimensional square nets. The complete modulated structure canbe described in thesuperspace group formalism in a 3+2 dimensional space group
![](/isubscribe/journals/cmatex/9/i01/eqn/cm960302te10001.gif)
.The basic cellobserved by single-crystal X-ray diffraction is orthorhombic with
a = 3.9912(3) Å,
b =3.9863(1) Å, and
c = 8.206(1) Å. The modulation wavevectors are
q1 =
a*+
b* +
1/
2c* and
q2=
a* -
b* +
1/
2c*, where
![](/images/gifchars/alpha.gif)
=0.33338(16) and
![](/images/gifchars/beta2.gif)
= 0.27284(6). Structurerefinementbased on first- and second-order satellites as well as main latticereflections producedsolutions in four different space groups that could not bedifferentiated on the basis ofagreement factors. A best solution was sought by use ofsecond-moment scaled, tight-bindingband calculations. The lowest energy model found was similar tobut not identical with twoof those refined for X-ray data. This lowest energy structure canbe rationalized by analysisof second-nearest-neighbor interactions within the selenium squarenets.