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单词 Miller Indices
释义

Miller Indices

中文百科

密勒指数 Miller index

(重定向自Miller Indices)
立方晶体中不同晶面的密勒指数
Planes with different Miller indices in cubic crystals
Examples of determining indices for a plane using intercepts with axes; left (111), right (221)
Miller-Bravais indices

密勒指数是一种用来确定晶体方向的指数。要想计算出一个晶面的密勒指数(hkl)需要:

以一个正方体的顶面为例,它在坐标轴上的截距为「+∞(h),+∞(k),1(l)」,这样它们的倒数之比就为0:0:1,换句话说,用密勒指数表示就是(001)。密勒指数之所以使用倒数之比就是为了防止正无穷的出现。

对于完全一样的晶面则可以用带花括号的密勒指数来表示,比如在立方晶系中{100}就表示所有的晶面。

英语百科

Miller index 密勒指数

(重定向自Miller Indices)
Planes with different Miller indices in cubic crystals
Examples of determining indices for a plane using inte****ts with axes; left (111), right (221)
Miller-Bravais indices
Dense crystallographic planes

Miller indices form a notation system in crystallography for planes in crystal (Bravais) lattices.

In particular, a family of lattice planes is determined by three integers h, k, and , the Miller indices. They are written (hkℓ), and denote the family of planes orthogonal to h\mathbf{b_1} + k\mathbf{b_2} + \ell\mathbf{b_3}, where \mathbf{b_i} are the basis of the reciprocal lattice vectors. (Note that the plane is not always orthogonal to the linear combination of direct lattice vectors h\mathbf{a_1} + k\mathbf{a_2} + \ell\mathbf{a_3} because the reciprocal lattice vectors need not be mutually orthogonal.) By convention, negative integers are written with a bar, as in 3 for −3. The integers are usually written in lowest terms, i.e. their greatest common divisor should be 1.

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更新时间:2025/6/20 6:35:44