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Hidden Degrees of Freedom in Aperiodic Materials

机译:非周期性材料的隐藏自由度

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Numerous crystalline materials, including those of bioorganic origin, comprise incommensurate sublattices whose mutual arrangement is described in a superspace framework exceeding three dimensions. We report direct observation by neutron diffraction of superspace symmetry breaking in a solid-solid phase transition of an incommensurate host-guest system: the channel inclusion compound of nonadecane/urea. Strikingly, this phase transition generates a unit cell doubling that concerns only the modulation of one substructure by the other-an internal variable available only in superspace. This unanticipated pathway for degrees of freedom to rearrange leads to a second phase transition, which again is controlled by the higher dimensionality of superspace. These results reveal nature's capacity to explore the increased number of phases allowed in aperiodic crystals.
机译:许多晶体材料,包括生物有机来源的晶体材料,都包含不相称的亚晶格,它们在超空间框架中描述的相互排列超过了三个维度。我们报告中子衍射的超空间对称性在一个不相称的宿主-客体系统的固-固相变中打破的直接观察结果:十八烷/脲的通道包含化合物。令人惊讶的是,这种相变会产生一个单位晶格加倍,该单位晶格加倍仅涉及另一子结构对另一子结构的调制,而内部变量仅在超空间中可用。自由度重新排列的这种出乎意料的途径导致了第二相变,该相变又由超空间的较高维度控制。这些结果揭示了自然界探索非周期性晶体中增加的相数的能力。

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