- 1
감사합니다.
- face on
- edge-on
각 분야 한인연구자와 현업 전문가분들의 답변을 기다립니다.
-
답변
이상준님의 답변
2016-06-25- 1
밀러 지수(Miller index)란 Bravais 격자의 결정구조의 결정면을 나타내는 지수입니다.
XRD는 Bravais equation을 통하여 격자간의 거리를 측정하는것이기 때문에
이것을 통해 아실수있을 것입니다.
아래는 위키피디아https://en.wikipedia.org/wiki/Miller_index에서 퍼온 자료입니다.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 ℓ, the Miller indices. They are written (hkℓ), and denote the family of planes orthogonal to {\displaystyle h\mathbf {b_{1}} +k\mathbf {b_{2}} +\ell \mathbf {b_{3}} }
, where {\displaystyle \mathbf {b_{i}} } are the basis of the reciprocal latticevectors. (Note that the plane is not always orthogonal to the linear combination of direct lattice vectors {\displaystyle 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.There are also several related notations:[1]
- the notation {hkℓ} denotes the set of all planes that are equivalent to (hkℓ) by the symmetry of the lattice.
In the context of crystal directions (not planes), the corresponding notations are:
- [hkℓ], with square instead of round brackets, denotes a direction in the basis of the direct lattice vectors instead of the reciprocal lattice; and
- similarly, the notation 〈hkℓ〉 denotes the set of all directions that are equivalent to [hkℓ] by symmetry.
Miller indices were introduced in 1839 by the British mineralogist William Hallowes Miller. The method was also historically known as the Millerian system, and the indices as Millerian,[2] although this is now rare.
The Miller indices are defined with respect to any choice of unit cell and not only with respect to primitive basis vectors, as is sometimes stated.