Chen Joe P J, Millane Rick P
J Opt Soc Am A Opt Image Sci Vis. 2014 Aug 1;31(8):1730-7. doi: 10.1364/JOSAA.31.001730.
Nanocrystals with more than one molecule in the unit cell will generally crystallize with incomplete unit cells on the crystal surface. Previous results show that the ensemble-averaged diffraction by such crystals consists of a usual Bragg component and two other Bragg-like components due to the incomplete unit cells. Using an intrinsic flexibility in the definition of the incomplete-unit-cell part of a crystal, the problem is formulated such that the magnitude of the Bragg-like components is minimized, which leads to a simpler and more useful interpretation of the diffraction. Simulations show the nature of the relative magnitudes of the diffraction components in different regions of reciprocal space and the effect of crystal faceting.
晶胞中含有不止一个分子的纳米晶体通常会在晶体表面以不完全晶胞的形式结晶。先前的结果表明,此类晶体的系综平均衍射由一个常规的布拉格分量以及另外两个由于不完全晶胞产生的类布拉格分量组成。利用晶体不完全晶胞部分定义中的固有灵活性,对该问题进行了公式化处理,使得类布拉格分量的幅度最小化,这导致对衍射有更简单且更有用的解释。模拟展示了倒易空间不同区域中衍射分量相对幅度的性质以及晶体刻面的影响。