The shape of two‐dimensional carbon black reflections
The shape of two‐dimensional carbon black reflections
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二维炭黑反射的形状
DOI：
10.1107/s0365110x66001464
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发表时间：
1966
期刊：
影响因子：
--
通讯作者：
P. Bodenstein
中科院分区：
文献类型：
--
作者：
B. Warren;P. Bodenstein
本文给出了涡轮结构的二维hk反射形状的严格推导，其中各层被认为是半径为R的圆盘。定义了平均圆盘尺寸为L，=(n/2) R，该尺寸由hk反射的一半最大宽度L，~= 1.772/(bcos 00)得到。该常数与先前的近似处理所得到的常数仅相差4%。这种平均维数的定义与最近用一般德拜散射方程处理炭黑图案时所使用的定义相差17%。炭黑是涡轮结构的常见例子。平行层组是由石墨层组成的，它们彼此平行排列，但在层的法线上有随机的方向。除了晶体00l反射外，层的随机方向阻止了一般hkl反射的出现。各个层独立地衍射，我们有二维hk反射。对于这种涡轮结构，正反晶格由00l个点和连续的hk棒组成。在粉末模式中，00l点给出通常的粉末模式峰值，而hk棒给出峰值
A rigorous derivation is given for the shape of a two-dimensional hk reflection for a turbostratic structure in which the layers are considered to be disks of radius R. An average disk dimension is defined as L,=(n/2) R, and this dimension is obtained from the half maximum breadth of an hk reflection by L,~= 1.772/(B cos 00). The constant differs by only 4% from that obtained in an earlier approximate treatment. This definition of an average dimension differs by 17% from that which has been used in recent treatments of carbon black patterns by the general Debye scattering equation.Introduction Carbon black is a common example of a turbostratic structure. Parallel layer groups are built up out of graphite layers, arranged parallel to one another, but with random orientation about the normal to the layers. Except for crystalline 00l reflections, the random orientations of the layers prevent the appearance of the general hkl reflections. The individual layers dif-fract independently, and we have two-dimensional hk reflections. For such a turbostratic structure, the reci-procal lattice comprises 00l points and continuous hk rods. In a powder pattern, the 00l points give the usual powder pattern peaks, and the hk rods give peaks