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对于大部分陶瓷粉末而言,测定颗粒大小实际上是测定粉料中团聚体的大小;聚团的破坏是发生在团聚体中最薄弱的点上。基于这个假设,发现Weibull分布ln(ln1/(1-F(D)))=mln(D-r)-mlnD_0可以用于颗粒(聚团)大小分析方面。ZrO_2、β-SiC和Al_2O_3粉末的离心沉降分析数据都适合Weibull方程。形状参数m与粒径大小无关,表示粒径分布的离散度。位置参数r表示颗粒大小分布的初始点。若测试仪器的测量范围下限小于粉末中最小粒子的粒径,则r为粉末的最小粒径;反之,则r值为测试仪器的下限。这从试样的电子显微镜照片中得到验证。尺度参数D_0的物理意义有待于进一步研究。
For most ceramic powders, determining the particle size is actually the size of the agglomerates in the powder; agglomeration destruction occurs at the weakest points in the agglomerates. Based on this assumption, we find that the Weibull distribution ln (ln1 / (1-F (D))) = mln (D-r) -mlnD_0 can be used for particle size analysis. Centrifugal sedimentation analysis data of ZrO_2, β-SiC and Al_2O_3 powders are suitable for Weibull equation. Shape parameter m has nothing to do with the size of the particle size, indicating the dispersion of particle size distribution. The positional parameter r indicates the initial point of the particle size distribution. If the lower limit of the measuring range of the test instrument is smaller than the particle size of the smallest particle in the powder, r is the smallest particle size of the powder; otherwise, r is the lower limit of the test instrument. This is verified from the electron micrograph of the sample. The physical meaning of scale parameter D_0 needs further study.