中文摘要：

用多重分形方法研究了透射电镜（TEM）观察到的α-MoO3纳米纤维的形貌。TEM观察表明，样品中纳米纤维的分布和均匀程度都随着HNO3浓度的增加而增大，形貌由纤维状向带状过渡。多重分形谱的分析显示，随着HNO3浓度的增加，△f从0．4345增大到2．4530，样品中纳米纤维的最大概率分布的数目多于最小概率分布的数目，说明纳米纤维数目和宽度均增加；分形谱宽△α愈来愈小，表明纳米纤维的分布愈来愈均匀。因此，多重分形谱可以很久地表征α—Mo03纳米纤维的分布特性。

英文摘要：

The multi-fractal approach was used to study the topography of α-MoO3 nanofibres observed with transmission electron microscopy （TEM）. It was found that the thicker the concentration of nitric acid,the larger the uniformity and size distributions of MoO3 nanofibres. Multi-fractal spectra showed that as nitric acid concentration increases, △f increases from 0. 4345-2. 4530,indicating that the number and width of MoO3 nanofibres vary with nitric acid concentration the same way as △f. The fact that △α monotomically decreases,revealing that the inhomogeneous distribution of MoO3 nanofibres the same way as △α. This result was in good agreement with the experimental observation.