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Crystal Viewer Tool Learning Materials

by Saumitra Raj Mehrotra, Dragica Vasileska, Gerhard Klimeck, Alejandra J. Magana


By completing the Crystal Viewer Lab in ABACUS - Assembly of Basic Applications for Coordinated Understanding of Semiconductors, you will be able to:

a) understand crystals,

b) understand crystal directions, and

c) Miller indices.

The specific objectives of the Crystal Viewer Lab are:


Recommended Reading

If you have not had experience with crystal structures and Miller indices, here is a list of resources that will help you have the required knowledge to get the most of these materials:

1. Rober F. Pierret, Semiconductor Device Fundamentals (Addison-Wesley Publishing Company, 2000).

2. Michael Shur, Physics of Semiconductor Devices (Prentice Hall, 1990).

3. Dragica Vasileska, Stephen M. Goodnick and G. Klimeck: Computational Electronics: Semiclassical and Quantum Device Modeling and Simulation, Chapter 2 (CRC Press, 2010).


Crystal Viewer Tool: First-Time User Guide

Theoretical descriptions

* Crystal Structures

* Crystal Directions and Miller Indices

* Illinois ECE 440 Solid State Electronic Devices, Lecture 2: Crystal Lattices

* ECE 606 Lecture 2: Geometry of Periodic Crystals

Tool Verification

Crystal Viewer Tool Verification (V 2.3.4)

Worked Examples

1. Crystal Viewer Demonstration: Bravais Lattices

2. Crystal Viewer Demonstration: Bravais Lattices 2

3. Crystal Viewer Demonstration: Various Crystal Systems

Exercises and Homework Assignments

1. Homework Exercise on Bravais Lattices, Crystal Structures, Miller Indices

2. Exercise: Crystal Lattices

3. Illinois ECE 440: Introduction to Crystal Properties Homework

4. ABACUS Exercise: Crystal Lattices and Miler Indices

Solutions to Exercises

Solutions will be provided to instructors ONLY.

Take a Test

This test will assess your conceptual understanding of the physical, mathematical and computational knowledge related to crystal structures identification and Miller indices calculation.

ABACUS: Test for Crystal Viewer Tool

Solve the Challenge

In this final challenge you will integrate all what you have learned about crystal lattices.

Crystal Structures - Packing Efficiency Exercise

Created on , Last modified on, a resource for nanoscience and nanotechnology, is supported by the National Science Foundation and other funding agencies. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.