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ELCT363_Lecture6_MillerIndices_CrystalGrowth

# ELCT363_Lecture6_MillerIndices_CrystalGrowth -...

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ELCT 363: Intro. to Microelectronics Lecture 6; Slide Announcements Homework #1 is posted on the Blackboard Homework Assignment #1 is due on Thursday, September 8 There will be a Quiz #1 (5% toward final grade) on next Tuesday, – September 13, covering the course lectures until September 8. 1

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ELCT 363: Intro. to Microelectronics Lecture 6; Slide 2 Crystal Plane and Miller Indices Planes inside crystal lattice are represented by a set of numbers called Miller Indices ( h, k, l ) To find miller indices of a plane: (1) Find the intercepts of the plane in each of the three axes in terms of the lattice constants, (2) Take reciprocals of these numbers, (3) Convert them to the smallest integers having the same ratio; multiply each reciprocal with appropriate integers, and (4) Notations: ( hkl ) plane, where h, k, l are Miller indices 1. The intercepts are 2, 4, 1 2. The reciprocals are ½, ¼, 1 3. Smallest integers = 4 4. Multiply each reciprocals by 4 to get the miller indices: 2, 1 and 4 5. Represent the plane as (214) z x y (214) b
ELCT 363: Intro. to Microelectronics Lecture 6; Slide 3 More examples of planes The plane intercepts the x and y axes at one unit length, but never intersects the z axis. In other words, it can be said that the intercept to the c axis is infinity (∞). The surface is parallel to the y - and z -axes. Therefore there is no intercept on these two axes, but we shall consider the intercept to be at infinity (∞). z y x z y x z y x x y z Intercepts 1 1 1 Reciprocals 1 1 1 1 1 1 Smallest integers 1 1 1 Miller indices = 111 x y z Intercepts 1 Reciprocals 1 1 1 1 Smallest integers 1 0 0 Miller indices = 100 x y z Intercepts 1 1 Reciprocals 1 1 1 1 1 Smallest integers 1 1 0 Miller indices = 110 1 1 1

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ELCT 363: Intro. to Microelectronics
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ELCT363_Lecture6_MillerIndices_CrystalGrowth -...

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