Fractal characteristic of fibrillar structure of cotton fibers

This paper mainly discussed the fractal characteristic of the secondary wall S2 of cotton fibers,It was assumed that S2 was composed of three hierarchival fractal structures packed with four levels of fibrils,and three fibril packing models,i.e.round,intermix and elliptic were adopted to conduct evaluation and comparative analysis of the radius,fractal dimensions and crystallinity of fibrils of each level.The models were modified and verified based on the differences between the theoretical values and actual results.The results indicated that the modified elliptic model is more correct and the fractal dimensions of the fibril of three different levels,as measured by the model,are 1.657 5,1.647 and 1.732,respectively,and the modified crystallinity of the fibril is 64.7%,closed to that of real cotton fiber.