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- W137612993 abstract "A precession photograph of a ${mathrm{C}}_{82}$ single crystal cocrystallized with toluene shows a striking tenfold symmetry in the plane normal to its elongated ten-sided columnar axis. This pattern can be perfectly explained by superposition of ten domains systematically twinned and nearly equally distributed, each of which consists of a monoclinic lattice with a=18.36 AA{}, b=11.36 AA{}, c=11.41 AA{} (a/c=1.609), and ensuremath{beta}=108.07ifmmode^circelsetextdegreefi{}. Such extraordinary lattice parameters as its axial ratio a/c nearly equal to the golden ratio (ensuremath{tau}=1.61 803. . .) and monoclinic angle ensuremath{beta} nearly equal to 108ifmmode^circelsetextdegreefi{} result in a highly unusual twinning. A toluene-solvated ${mathrm{C}}_{76}$ is also found to have very similar structural features as a=17.68 AA{}, b=11.08 AA{}, c=11.02 AA{} (a/c=1.604), and ensuremath{beta}=108.10ifmmode^circelsetextdegreefi{}. Combining the previous results of pentane-solvated ${mathrm{C}}_{60}$ and ${mathrm{C}}_{70}$ by Fleming et al. which also crystallize into a monoclinic lattice, we have found that among all four fullerides the similarity with respect to the unit-cell shape, a:b:c=ensuremath{tau}:1:1 and ensuremath{beta}=108ifmmode^circelsetextdegreefi{}, holds extraordinarily well within less than 1% accuracy regardless of kinds of fullerenes and solvents. We have also successfully analyzed these crystal structures with the space group P${2}_{1}$ (z=2) by assuming the ${mathrm{C}}_{82}$ or ${mathrm{C}}_{76}$ cage to be spherical, which can be driven from the ``sphere packing model'' previously proposed by Fleming et al.An in situ x-ray-diffraction experiment of the ${mathrm{C}}_{76}$ crystal upon heating reveals that the sublimation of toluene around 100 ifmmode^circelsetextdegreefi{}C results in a fcc lattice formed purely by the ${mathrm{C}}_{76}$ molecules. This fact implies that the unusual monoclinic lattice of ${mathrm{C}}_{82}$ is also stabilized with intervening toluene molecules." @default.
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- W137612993 date "1995-04-01" @default.
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- W137612993 title "Structural aspects of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>C</mml:mi></mml:mrow><mml:mrow><mml:mn>82</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>C</mml:mi></mml:mrow><mml:mrow><mml:mn>76</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>crystals studied by x…" @default.
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- W137612993 doi "https://doi.org/10.1103/physrevb.51.8723" @default.
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