The bicontinuous double gyroid phase is one of the nature’s most symmetric and complex structures, the electron density map of which was established long ago. By utilizing small-angle x-ray scattering, resonant soft x-ray scattering at the carbon $K$ edge and model-dependent tensor-based scattering theory, we have not only elucidated morphology but also identified molecular packing in the double gyroid phases formed by molecules with different shapes, i.e., rodlike vs taper shaped, thus validating some of the hypothetical packing models and disproving others. The spatial variation of molecular orientation through the channel junctions in the double gyroid phase can be either continuous in the case of anisotropic channels or discontinuous in the case of isotropic channels depending on the molecular structure and shape.

中文翻译：

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通过共振软X射线散射揭示了双螺旋形立方相中的分子堆积。

双连续双螺线管相是自然界中最对称，最复杂的结构之一，其电子密度图早就建立了。通过利用小角度X射线散射，碳处的共振软X射线散射$ķ$基于基于张量和边缘的基于张量的散射理论，我们不仅阐明了形态，而且还鉴定了由不同形状的分子（即棒状与锥形）形成的双螺旋状相中的分子堆积，从而验证了一些假设的堆积模型和责备他人。取决于分子结构和形状，在各向异性通道的情况下，通过双螺线管相中的通道结的分子取向的空间变化可以是连续的，在各向同性通道的情况下可以是不连续的。