Algebraic Structures and Crystallography

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Related lectures (29)

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Crystal Structures: Cubic Lattices & Miller Indices

Explores cubic crystal structures, coordination numbers, and packing factors in metals and alloys.

Vector Spaces in R2 and R3

Covers vector spaces in R2 and R3, including planes and lines.

Geometry: Euclidean Elements & Vitruvius

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Euclidean Geometry: Operations and Constructions

Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.

Scalar Product and Euclidean Spaces

Covers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.

Orthogonality and Least Squares Method

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Vector Spaces: Properties and Examples

Covers the definition and properties of vector spaces, along with examples like Euclidean spaces and matrix spaces.

Crystal Structures: Reciprocal Lattice and Brillouin Zones

Covers crystallography concepts, including veganicide cells, reciprocal lattices, and Brillouin zones, essential for understanding electron behavior in crystal structures.

Crystallography: Describing Periodic Structures

Covers crystallography, lattice structures, vectors, and diffraction patterns.

Electron Diffraction: Basics & Applications

Covers the basics of electron diffraction, explaining contrast in TEM images and its applications in material analysis.