Quantitative Evaluation Method Research Of Carbon Nanotube Dispersion Situation Based On Fractal Theory

After being developed by the Japanese scientist, Carbon nanotube has attracted muchattention for its excellent performance. CNTs’ length distribution and its distributionuniformity in the solution as well as CNTs films’ pore distribution and uniformity of poredistribution are not only the key factors affecting materials’ properties, but also the importantindices for evaluating CNTs films’ uniformity.Detecting and evaluating CNTs’ length distribution situation in solution accurately，characterizing CNTs film’ uniformity correctly and evaluating the relationship between CNTsdispersion situation with its performance quantitavely have been the significant problemneeding to be solved in terms of CNTs’ optimum preparation and wider application.With preprocessing the CNTs colorful images by gray-scale exchange, enhancement andbinarization, it proposed the useful basement method in this paper to fit the CNTs solution’TEM images and CNTs films’ SEM\FE-SEM images preprocessing algorithm. After beingproved, the images processed through this method can meet the requirements of subsequentprocessing very well.Choosen the preprocessed images as research objects. Based on sand-boxes method andmulti-fractal theory，this paper established mathematical models for CNTs’ length and poredistribution in CNTs films. Based on the multi-fractal theory and radius of gyration method，the mathematical models of uniformity for CNTs’ length distribution in solution and poredistribution in CNTs films were established. The established models had lots of advantages,like the influence of CNTs solution TEM images and CNTs films SEM/FE-SEM images’smaller size on evaluation parameters were be reduced. And the human intervention affectionin the selection process for evaluation parameters has been decreased. Besides, the affectionof continuous system discrimination on evaluation parameters had also been shortened.Quantitative evaluation system for CNTs dispersion situation has been established. Themain content included：relationship between CNTs’ length distribution and its uniformity in solution with their Zeta potential value; the affections of CNTs film s’ pore distribution and itsdistribution uniformity on films’ tensile sensor and fire retardant properties; the interactionsbetween hybrid CNTs films’ uniformity with their microwave absorbing properties. Bycharacterizing the actual CNTs dispersion situation quantitatively, the established evaluationsystem has been proved correct and practical.