Four different varieties of cotton fibres have been used for X-ray diffraction study using in-house programs. X-ray data have been corrected for instrumental broadening and Lorentz polarization factors before using them for further analysis. Using Peakfit® program, 13-15 Bragg reflections are identified and cell parameters are determined by CHECKCELL^®. Full width at half maxima (FWHM) of these reflections are used to estimate the crystallite size and strain along [hkl] directions. Using these results and employing a novel method, a 3-dimensional image of the crystallite shapes in these cotton fibres are computed. Employing Lorenz-Mie theory of scattering of electromagnetic radiation by molecules embedded in dielectric spheres, the dielectric constant of cellulose along amorphous region has been computed. This technique can be extended to any material of interest. Correlation among varieties of fibres and each physical parameter like crystallite size, strain, tenacity and staple length have been investigated using functional analysis, which shows the correlation between physical parameters with varieties of cotton fibres.

中文翻译：

---

使用WAXS数据分析各种棉纤维的微晶形状，介电常数和功能数据

使用内部程序，四种不同的棉纤维品种已用于X射线衍射研究。在对X射线数据进行进一步分析之前，已对它们的仪器扩展和洛仑兹极化因子进行了校正。使用Peakfit®程序，13-15布拉格反射被识别和细胞参数由CHECKCELL确定^®。这些反射的半峰全宽（FWHM）用于估计微晶尺寸和沿[hkl]方向的应变。使用这些结果并采用新颖的方法，可以计算出这些棉纤维中微晶形状的三维图像。利用Lorenz-Mie理论，通过嵌入电介质球中的分子对电磁辐射进行散射，可以计算出纤维素沿非晶区的介电常数。该技术可以扩展到任何感兴趣的材料。用功能分析法研究了纤维种类与各个物理参数如微晶尺寸，应变，韧度和短纤维长度之间的相关性，表明了物理参数与棉花纤维品种之间的相关性。