Program

FIRST PART: INTRODUCTION AND BASIC CONCEPTS
• Affine spaces vs. vector spaces
• Mappings: affine and Euclidean; isometries
• Sets; homomorphisms, isomorphisms, automorphisms
• Symmetry operations as special case of isometries
• Introduction to group theory: abstract groups, subgroups, cosets
SECOND PART: CRYSTALLOGRAPHY IN DIRECT SPACE
• Periodic structure of the crystalline matter
• Crystal lattice vs. crystal pattern and crystal structure
• Crystallographic calculations in direct space
• Symmetry directions in a lattice
• Unit cells: primitive cells, multiple cells, conventional cells in 2D and 3D
• Crystal families
• Symmetry groups and types of symmetry in direct space
• morphological symmetry
• symmetry of physical properties
• symmetry of lattices
• symmetry of the unit cell content
• symmetry of crystallographic patterns
• Hermann-Mauguin symbols for point groups
• Lattice systems
• Crystal systems
• Stereographic projection and the morphology of crystals
• Types of crystallographic point groups through the stereographic projection
• Symmetry operations with a glide component
• Space groups and types of space groups
• Exercises on the space group diagrams from Volume A of the International Tables for Crystallography
• Online tools for crystallography
THIRD PART: CRYSTALLOGRAPHIC IN RECIPROCAL SPACE
• Fourier transforms and convolutions
• Crystallographic calculations in reciprocal space
• Diffraction symmetry: Laue classes, Friedel's law, resonant scattering
• Integral, zonal and serial reflection conditions and their use to determine the space-group type
FOURTH PART: CRYSTALLOGRAPHY ONLINE
• Introduction to the Bilbao Crystallographic Server
• Space Groups Retrieval Tools
• Group - Subgroup Relations of Space Groups
• Structure utilities and computer tools: different structure descriptions and structural relationships
• Tools for the study of structural phase transitions on the Bilbao Crystallographic Server
WORKSHOP (4 December): REPRESENTATION THEORY OF SPACE GROUPS
• Introductory remarks on representations of finite groups.
• Representations of crystallographic point groups.
• Introduction to space-group representations.
• Online tools for the representations of crystallographic point and space groups: Databases and computer programs.
• Applications of representation theory in some solid-state physics and chemistry problems.

Language

The official language of the Schools was English. No simultaneous interpretation was provided. However, local tutors helped the participants during the exercises.

Venue

Universidad de la Republica, Av. Gral. Flores 212, Casilla de Correos 1157, Montevideo, 11800, Uruguay

International Program Committee

Prof. Massimo Nespolo, Nancy-Université, Chair
Prof. Ernesto Estévez Rams, Universidad de la Habana, Cuba
Prof. Mois Ilia Aroyo, Universidad del Pays Basco, Bilbao, Spain
Dr. Leopoldo Suescun, Universidad de la Républica, Uruguay
Dr. , Universidad de La Plata, La Plata, Argentina
Dr. , UNICAMP, Campinas, SP, Brasil

Local Organizing Committee

Dr. Leopoldo Suescun, Chair
Dr. Álvaro W. Mombrú
Dr. Ricardo Faccio
Dr. Helena Pardo

Poster presentations

Program and Poster Abstracts booklet in PDF format.

Participants

NameInstitutionemail
Nathalie Marcela Cerón Instituto Balseiro, Argentina
Gaston Corthey INIFTA - Universidad Nacional de La Plata, Argentina
Nicolás Ignacio Neuman Universidad Nacional del Litoral, Argentina
Diego Andrés Campo Ceballos Universidade de Brazilia, Brazil
Giancarlo Zuchetto Belmonte Universidade Federal de Santa Maria, Brazil
Claiton Roberto Berticelli Universidade Federal de Santa Maria, Brazil
Robert Alan Burrow Universidade Federal de Santa Maria, Brazil
Augusto Gonzaga Oliveira de Freitas Universidade Federal de Santa Maria, Brazil
Gustavo Luiz Paraginski Universidade Federal de Santa Maria, Brazil
Priscilla Jussiane Zambiazi Universidade Federal de Santa Maria, Brazil
Paulo de Sousa Carvalho Júnior State University of Goiás, Brazil
Rosane de Paula Castro Universidade Federal de Goias, Brazil
William Borges Fernandes Universidade Federal de Goias, Brazil
Thaicia Stona de Almeida Universidade de São Paulo, Brazil
Lis Guimarães de Azeredo Melo Instituto Militar de Engenhari, Brazil
Rodrigo Correa Universidade Federal de São Carlos, Brazil
Joao Paulo Barolli Reis Universidade Federal de Sao Carlos, Brazil
Camila Araújo de Figueirêdo Universidade Federal do Rio Grande do Su, Brazil
Eduardo Bittar Laboratório Nacional de Luz Síncrotron (LNLS), Brazil
Danilo Oliveira de Souza Universidade Federal do Espírito Santo, Brazil
Sara Eulália Coelho Universidade Federal de Santa Catarina, Brazil
Romulo Simoes Angélica Universidade Federal do Pará, Brazil
Simone Paz Universidade Federal do Pará, Brazil
Matías Sebastián Fuentealba Valenzuela Universidad de Talc , Chile
Felipe Merino Universidad de Chile, Chile
Daniel Escobar Rincón Universidad Nacional de Colombia
Omar Ortiz Diaz Universidad Pedagógica y Tecnológica de Colombia
Osiry Hernández Silva Instituo Politecnico Nacional, México
Alvaro Fabian Acosta Fernandez Facultad de Química, Universidad de la Republica, Uruguay
Ana Carolina Pejo Henderson Facultad de Química, Universidad de la Republica, Uruguay
María Eugenia Pérez Barthaburu Facultad de Química, Universidad de la Republica, Uruguay
María Fernanda Rodríguez Franco Facultad de Química, Universidad de la Republica, Uruguay
Lecturers and Organizers
Massimo Nespolo Nancy Université, France
Mois Aroyo Universidad del País Vasco, Spain
Ernesto Estévez Rams IMRE, Universidad de la Habana, Cuba
Eduardo Granado IFGW-UNICAMP & Laboratório Nacional de Luz Síncrotron, Brazil
Organizer ISFC2012
Raimundo Lora Serrano Universidade Federal de Uberlandia, Brazil

Contact

International Program Committee: .

Local Organizing Committee:

The Organizers of the Montevideo 2010 MaThCryst school have observed the basic policy of non-discrimination and affirmed the right and freedom of scientists to associate in international scientific activity without regard to such factors as citizenship, religion, creed, political stance, ethnic origin, race, colour, language, age or sex, in accordance with the Statutes of the International Council for Science. At this school no barriers existed which would have prevented the participation of bona fide scientists.

Last updated: 17 February 2011
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