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- W2002230111 abstract "The incommensurate charge-density waves (CDW's) in the $m=4$ phosphate bronze $({mathrm{PO}}_{2}{)}_{4}({mathrm{WO}}_{3}{)}_{2m}$ have been studied by synchrotron-radiation x-ray scattering. The CDW is found to correspond to a $2ensuremath{-}q$ state for all temperatures below the first phase transition at ${T}_{c1}=80 mathrm{K}.$ The second phase transition at ${T}_{c2}=52 mathrm{K}$ is found to involve the development of mixed second-order satellites within the primary CDW. The incommensurately modulated structure has been determined at $T=20 mathrm{K}.$ The structure remains orthorhombic down to $T=20 mathrm{K}.$ At 20 K the lattice parameters are $a=5.294(1) mathrm{AA{}},$ $b=6.591(2) mathrm{AA{}},$ and $c=17.415(16) mathrm{AA{}}.$ The two-dimensional CDW is characterized by the modulation wave vectors ${q}^{1}=[0.330(2),0.292(2),0.000(2)]$ and ${q}^{2}=(ensuremath{-}0.330,0.292,0).$ The $(3+2)D$ superspace group was found as ${P2}_{1}{2}_{1}{2}_{1}(ensuremath{alpha},ensuremath{beta},0)(ensuremath{-}ensuremath{alpha},ensuremath{beta},0).$ The primary CDW comprises the satellite reflections ${(hklm}_{1}{m}_{2})$ with ${(m}_{1}{m}_{2})$ equal to $(ifmmodepmelsetextpmfi{}1,0)$ and $(0,ifmmodepmelsetextpmfi{}1).$ Below ${T}_{c2}$ additional satellite reflections develop, that correspond to ${(m}_{1}{m}_{2})=ifmmodepmelsetextpmfi{}(1,ensuremath{-}1).$ Accordingly, harmonic modulation amplitudes (1,0), (0,1), and $(1,ensuremath{-}1)$ were incorporated into the structure model. Refinement against 4970 observed reflection intensities resulted in a fit with $R=0.039.$ The periodic lattice distortion shows that the CDW is located at the centers of the ${mathrm{WO}}_{3}$ slabs. The CDW is interpreted in terms of the formation of clusters of six tungsten atoms, that are linked together to form larger clusters of 12 to 18 atoms." @default.
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- W2002230111 date "2001-08-23" @default.
- W2002230111 modified "2023-09-26" @default.
- W2002230111 title "Structure of the two-dimensional incommensurate charge-density wave in(PO2)4(WO3)8at 20 K" @default.
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- W2002230111 doi "https://doi.org/10.1103/physrevb.64.104105" @default.
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