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eger numbers representing the reciprocal of the intercepts of the plane axes a, b, c. For example, ( 3, 2, 1) is the plane intercepting a, b, c at 1/3a, 1/2b, 1c respectively. ONAd hklcba/C/l/ a /h/ b /kHexagonal Close Packing. (HCP) (001) CUBIC CLOSE PACKING (CCP) (111) Hexagonal close packing (hcp) (Be, Mg, Zn, Cd, Ti, Zr, Ru ...) Cubic close packing (ccp or fcc, see model !!) (Cu, Ag, Au, Al, Ni, Pd, Pt ...) Common unit cells for hcp and ccp 第一層 (A) 第二層 (B) 第三層 (C) 第一層 (A) 第二層 (B) 第三層 (A) Bragg?s Equation: 2 d sin?=n? The Bragg approach to diffraction is to regard crystals as built up in layers or planes such that each act as a semitransparent mirror. The derivation of Bragg?s Equation is shown in the following figure. ? ?? ?ABC odd??S So( hkl ) OT1 Orthogonal Matrix ?????????????????cbabaaaaacbakji???????c o sc o s0s i nc o ss i n00s i ns i n**a project on c is acosβ, the other ponent in ac plane is asinβ b* project on aj is asinβcosγ*, the other ponent in ac plane os asinβsinγ* ????*****,////bacabcba?ikjcbick??????????