Mitra Girija Bhushan
Indian Association for the Cultivation of Science, Jadavpur, Calcutta 700 032, West Bengal, India.
Acta Crystallogr A. 2010 Jan;66(Pt 1):93-7. doi: 10.1107/S0108767309044791. Epub 2009 Dec 11.
A theory of diffraction at small angles of scattering by a cylindrically constructed structure has been developed and general expressions for two- and three-dimensional cylindrically curved crystallites have been obtained. Modified expressions have been derived for special cases of (a) a single arc of equiangularly spaced identical atoms, (b) several coaxial arcs each having an equal number of equiangularly spaced identical atoms and (c) such arcs arranged at equal distances along the common axis of the arc, including single cylinders and multilayered cylindrical structures. From the expressions obtained, it is possible to measure the magnitudes of the radius of the cylinder, the length of the cylinder, the angular distance between the scattering atoms on each cylindrical arc, their atomic number and the radius of the hole inside each cylindrical structure when a particular tube is considered for a particular purpose or even when predicting the properties required by a nanotube for a particular purpose.
已建立了一种关于由圆柱形结构在小散射角下衍射的理论，并获得了二维和三维圆柱形弯曲微晶的一般表达式。针对以下特殊情况推导出了修正表达式：(a) 由等角间距的相同原子组成的单个弧段；(b) 几个同轴弧段，每个弧段具有相同数量的等角间距的相同原子；(c) 这些弧段沿弧的公共轴以相等距离排列，包括单个圆柱体和多层圆柱形结构。从所得表达式可知，当针对特定目的考虑特定管时，甚至在预测特定目的所需纳米管的特性时，能够测量圆柱体的半径大小、圆柱体的长度、每个圆柱弧上散射原子之间的角距离、它们的原子序数以及每个圆柱形结构内部孔的半径。
