Chapter 3: The Structure of Crystalline Solids

Chapter 3: The Structure of Crystalline Solids

Crystallographic Planes For cubic crystals, planes and directions having the same Chapter 3 indices are perpendicular to one another. Crystallographic Planes Miller Indices: Reciprocals of the (three) axial intercepts for a plane, cleared of fractions & common multiples. All parallel planes have same Miller indices. Algorithm 1a. If the plane passes through the selected origin, choose another plane or move the origin. 1b. Read off intercepts of plane with axes in terms of a, b, c 2. Take reciprocals of intercepts *3. Reduce to smallest integer values 4. Enclose in parentheses, no commas i.e., (hkl) *3 On occasion, index reduction is not carried out, as you will see later. Chapter 3 - 2 Crystallographic Planes z example 1. Intercepts 2. Reciprocals

3. Reduction a 1 1/1 1 1 4. Miller Indices (110) example 1. Intercepts 2. Reciprocals 3. Reduction 4. Miller Indices a

1/2 1/ 2 0 1 0 b 1 1/1 1 1 c 1/ 0 0 c b a x y

z b c 1/ 1/ 0 0 c a (100) b x Chapter 3 - 3 y Crystallographic Planes z example 1. Intercepts 2. Reciprocals

3. Reduction 4. Miller Indices a 1/2 1/ 2 6 b 1 1/1 1 3 (634) c c 3/4 1/ 4/3

4 a x b y Family of Planes {hkl} Ex: {100} = (100), (010), (001), (100), (010), (001) Chapter 3 - 4 Determine the Miller indices for the plane shown. Chapter 3 - 5 Crystallographic Planes (HCP) In hexagonal unit cells the same idea is used z example 1. Intercepts 2. Reciprocals 3. Reduction

a1 1 1 1 1 a2 1/ 0 0 a3 -1 -1 -1 -1 c 1 1 1 1 a2 a3

4. Miller-Bravais Indices (1011) a1 Adapted from Fig. 3.8(b), Callister & Rethwisch 8e. Chapter 3 - 6 3.50 Determine the indices for the planes shown in the hexagonal unit cells below: Chapter 3 - 7 3.50 Determine the indices for the planes shown in the hexagonal unit cells below: Chapter 3 - 8

Recently Viewed Presentations

  • A LEVEL MEDIA STUDIES COMPONENT 2 Media Forms

    A LEVEL MEDIA STUDIES COMPONENT 2 Media Forms

    Visual Codes (costume, setting, colour palette, framing & proxemics - (mise-en-scène); performance and NVC) Todorov's. ... There are other intertextual references - e.g. stylistically it is heavily influenced by film noir. Representationin Life on Mars .
  • Micro RNA - Computational Approach

    Micro RNA - Computational Approach

    Arial Wingdings Times New Roman Courier New Comic Sans MS Simplified Arabic Capsules Default Design Bitmap Image MicroRNA Tree of RNA Types Slide 3 Micro RNA - Computational Approach Slide 5 Problem 1: Finding putative microRNA from a sequence Slide...
  • Assisted Living National Update - nehca.org

    Assisted Living National Update - nehca.org

    Assisted living residences do not have a specific "look." Some may be housed in a separate building on its own campus; others may be attached to another health facility such as a hospital or nursing facility. Still other assisted living...
  • Biology of Cancer - Amherst College

    Biology of Cancer - Amherst College

    Figure 11.7 The Biology of Cancer (© Garland Science 2007) Figure 11.9 The Biology of Cancer (© Garland Science 2007) Progressive Accumulation of Genetic Lesions in Colon Cancer Progressive LOH The Corresponding genetic lesions Figure 7.24a The Biology of Cancer...
  • The Metric Measurement - PC\|MAC

    The Metric Measurement - PC\|MAC

    Reading Metric Units Temperature- Celsius & Kelvin Take Celsius and add 273 to get Kelvin. The Kelvin scale measures absolute zero. ... 3 Wingdings 2 Symbol Wingdings Office Theme 1_Office Theme 2_Office Theme 3_Office Theme 4_Office Theme The Metric Measurement...
  • www.chillicothe.k12.oh.us

    www.chillicothe.k12.oh.us

    Seniors who are in jeopardy of failing the course, must take a second semester exam. ... And YOU are the one who'll decide where to go..."- Dr. Seuss "Do not go where the path may lead, go instead where there...
  • How does the acquisition of skill affect performance?

    How does the acquisition of skill affect performance?

    During the associative stage the athlete needs lots of practice that is whole and normally massed, though if they get bored distributed should be used. This stage often lasts a long time, with many athletes not progressing to the final...
  • Introduction to Paper 2 - Winston-Salem/Forsyth County Schools

    Introduction to Paper 2 - Winston-Salem/Forsyth County Schools

    "Drama is created by placing ordinary people in situations of crisis." Explore some of the methods used to create drama in this way in at least two of the plays you have studied. Break down the question. Brainstorm. Read sample...