'Point groups' presentation slideshows

Lecture 7

Lecture 7. Basis of a Representation: A set of objects capable of demonstrating the effects of the all the symmetry operations in a Point Group. A set of functions, atomic orbitals on a central atom or ligands, or common objects.

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Introductory concepts: Symmetry

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Introductory concepts: Symmetry

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Camosun College GEOS 250 Lectures: 9:30-10:20 M T Th F300 Lab: 9:30-12:20 W F300

Introduction to Mineralogy Dr. Tark Hamilton Chapter 6: Lecture 23-26 Crystallography & External Symmetry of Minerals. Camosun College GEOS 250 Lectures: 9:30-10:20 M T Th F300 Lab: 9:30-12:20 W F300. Rotoinversion Inside a Sphere (Stereonet). fig_06_14.

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X-ray Crystallography-1

X-ray Crystallography-1. Reading: van Holde , Physical Biochemistry, Chapter 6; the two Watson & Crick papers Additional optional reading: Gale Rhodes, Crystallography Made Clear, sections of Chapters 1-4 Homework : (see next page), due Monday , Feb. 24

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Lesson 9

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Lesson 9

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Symmetry and Group Theory

Symmetry and Group Theory. Chapter 4. Symmetry and Group Theory. The symmetry properties of molecules can be useful in predicting infrared spectra, describing the types of orbitals used in bonding, predicting optical activity, and interpreting electronic spectra (to name a few).

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Euler construction

Euler construction. Spherical C 1 C 2 C 3 formed by pts where axes intersect sphere cos w = cos u cos v + sin u sin v cos W u = 180 - U v = 180 - V w = 180 -W cos w =. U = a /2. w. C 2. C 1. V = b /2. v. u. cos W + cos U cos V. sin U sin V. W = g /2. C 3.

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Symmetry, Groups and Crystal Structures

Symmetry, Groups and Crystal Structures. The Seven Crystal Systems. Minerals structures are described in terms of the unit cell. The Unit Cell. The unit cell of a mineral is the smallest divisible unit of mineral that possesses all the symmetry and properties of the mineral.

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Triclinic:

t1. t2. t1. t2. t1. t2. t1. t2. t1. t2. t2. t1. t1. t2. Triclinic:. Primitive (P). Monoclinic:. Primitive (P). End-centered (A, B, C). Orthorhombic:. Primitive (P). End-centered (A, B, C). Face-Centered (F). Body-Centered (I). Tetragonal:. Body-Centered (I). Primitive (P).

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Elementary Crystallography for X-ray Diffraction

Elementary Crystallography for X-ray Diffraction. A simplified introduction for EPS 400-002 assembled by Jim Connolly. What is crystallography?. Originated as the study of macroscopic crystal forms

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II. Crystal Structure

II. Crystal Structure. Lattice, Basis, and the Unit Cell Common Crystal Structures Miller Indices for Crystal Directions and Planes The Reciprocal Lattice.

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CH6. Symmetry Symmetry elements and operations Point groups Character tables Some applications

CH6. Symmetry Symmetry elements and operations Point groups Character tables Some applications. symmetry element : an element such as a rotation axis or mirror plane indicating a set of symmetry operations

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Symmetry

Symmetry. Symmetry Operations Point Groups Molecular Vibrations Global Warming. Symmetry Operations. Things you do to a structure that do not change its appearance. Rotations Reflections Inversions Improper Rotations. Rotation Axes. Planes of Reflection. Inversion Center.

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Space Symmetry I

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Platonic Orbits and Fully Democratic Satellite Networks

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Mining Three-dimensional Chemical Structure Data

Mining Three-dimensional Chemical Structure Data. Sean McIlwain & David Page University of Wisconsin Arno Spatola & David Vogel University of Louisville

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Symmetry of Single-walled Carbon Nanotubes Part II

Symmetry of Single-walled Carbon Nanotubes Part II. Outline. Part II (December 6) Irreducible representations Symmetry-based quantum numbers Phonon symmetries

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