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MSE 605 Crystallography & Crystal Chemistry

Course Organizer: Dr. Rick Ubic Credits: 4 Semester: 1 Prerequisite: none
Overlap: MSE 245
Schedule:
Tuesdays and Thursdays 8:35 – 10:15, RUCH 213

Brief syllabus: Bonding, atomic arrangements, and crystal structures of metals, ceramics, electronic materials and polymers; physical properties of solids; defects in solids; relationship between processing, microstructure and properties of materials.

Aims: This course will introduce students to the language, nomenclature, and tools of crystallography and demonstrate how electronic structure determines bonding which in turn determines structure and properties in a variety of materials systems.

Texts: R.C. Evans, “An Introduction to Crystal Chemistry,” Cambridge University Press, Cambridge, 1964.
G. Burns and M. Glazer, “Space Groups for Solid State Scientists,” Third Edition, Academic Press, Waltham, MA, 2013 (eBook).
Date
Topic
Reading
Assignments
21 August
Introduction, Historical models of the atom, Quantum mechanics review, Vectors and tensors
Evans 2.06-2.13, tensors
.
23 August
Structure, Bonding, Historical perspective of crystals
Syllabus,
Evans 1, 2.03, 6.03
Syllabus QUIZ
28 August
BG 1
HW1
30 August
BG 1.1-1.3,
BG 2.1-2.3
4 September
6 September
Centering, Bravais lattices, Common crystal structures, StrukturBericht symbols, Pearson symbols, Point groups, Laue classes, Symmetry-imposed constraints on lattice constants
BG 2.4-2.5,
3.1-3.3, 4.1-4.4
7.1-7.3, A9.8
Quiz 1
11 September Wigner-Seitz cells, Multiplication tables, Symmorphic space groups, Improper translations BG 3.4, 5.1-5.2
13 September
Non-symmorphic space groups, International Tables, Crystallographic orbits, Metric tensor, Einstein summation notation
BG 5.3, 6.1-6.5
HW2
Topic
18 September BG 6.1, A5
20 September Friedel’s law, Zone axis, Weiss zone law, Shape factor, Reciprocal metric tensor BG A8 HW3
25 September Quasicrystals, Tensor properties and symmetry constraints, Matrix transformations BG 7.22
27 September
Symmetry constraints on compliance
Quiz 2
2 October
NO CLASS
4 October JaM Review
9 October
EXAM 1
EXAM 1
11 October Vacancies, Substitutional & Interstitial defects, Packing fraction Evans 13.11-13.15
16 October NO CLASS: MS&T
18 October Order parameter, Ionic defects, Kröger-Vink notation, Ionic conductivity
Evans 9.39-9.46
23 October
25 October
Evans 3
 HW4
30 October Ionic size, Pauling’s rules, coordination polyhedra, Bond valence, Percent ionicity
Evans 9.04-9.10
1 November Covalent bonding, Valence bond theory, Molecular orbital theory
Evans 4.01-4.19
Quiz 3
6 November Metallic bonding, Lennard-Jones potential, Brillouin zones Evans 4.20-4.29 HW5
8 November Evans 13.21-13.23 TUT Reports
13 November Hard-sphere model, Voronoi polyhedra, Networks Evans 9.01-9.04 HW6
15 November JaM Review
20 November
NO CLASS: THANKSGIVING HOLIDAY
22 November
NO CLASS: THANKSGIVING HOLIDAY
27 November
Review
29 November
EXAM 2
EXAM 2, EC1
4 December
The Unbelievable Truth
 HW7
6 December
JaM Review
EC2
11 December
FINAL EXAM, 9:30 – 11:30
Final Exam
NOTE: Be Prepared! Dates shown are the dates the assignments (reading, homework, etc.) are due.
For example, the reading assignment shown for 23 August should be done before class on 23 August.