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<正> 人们早已开始注意到金属晶粒越大则其拓扑构形越趋复杂.Williams 和 Smith 发现直径较大的 Al-Sn 合金晶粒具有较多的界面,Okazaki 和 Conrad 也定性地指出了 a-Ti 晶粒的 Euler 指数随晶粒尺寸增大而增大。在研究高纯度 Al 晶粒组织时,Rhines 和 Patterson 发现,在双对数坐标系中晶粒体积(重量)与晶粒界面数近似呈一条直线。近年来的实验研究进一步表明,金属晶粒的界面数与晶粒空间直径之间存在着线性函数关系.本文则将在作者前段

From experimental or theoretical aspect,three Euler indices of a polyhedral grain are equal statistically to the mean caliper diameter of the same grain,when all the values of the foresaid parameters being normalized respectively by their average in the space filling polycrystal to which the grain belongs.It seems that the above principle is independent of the type of the metal concerned,provide that the structures are configured in a way that is consistent with the underlying assumption in the derivation of the principle.

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