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International Union of CrystallographyCommission on Mathematical and Theoretical Crystallography |
International School on Fundamental Crystallography
followed by a one-day Workshop day on the Representation Theory of Space Groups
Second MaThCryst School in Latin America
Montevideo, Uruguay, 29 November - 4 December 2010
The Commission on Mathematical and Theoretical Crystallography is strongly committed to promote education in all the fundamental aspects of crystallography that nowadays are overlooked in common University courses. This mission is accomplished through a series of meetings in a wide range of regions. In fall 2010 we organized a school in Montevideo, Uruguay, that continues our activity in the region after the previous school in Havana.
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
- 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
- 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
- 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
- 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
| Name | Institution | |
|---|---|---|
| Nathalie Marcela Cerón | Instituto Balseiro, Argentina | |
| Gaston Corthey | INIFTA - Universidad Nacional de La Plata, Argentina | |
| Rocío del Pilar Napan Maldonado | 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 | |
| Lorraine Andrade Malaspina | Universidade Federal de Goiás, Brazil | |
| Rosane de Paula Castro | Universidade Federal de Goias, Brazil | |
| William Borges Fernandes | Universidade Federal de Goias, Brazil | |
| Jefferson Luiz Fonseca de Silva | Universidade Estadual de Goias, Brazil | |
| Rafael Silva Nunes | Universidade Estadual Paulista, Brazil | |
| Simone Toledo Bonemer De Salvi | Universidade Estadual Paulista, Brazil | |
| Selma Gutierrez Antonio | Universidade Estadual Paulista, 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 | |
| Hugo Javier Serrano Posada | Universidad Nacional Autónoma de México | |
| Osiry Hernández Silva | Instituo Politecnico Nacional, México | |
| Alvaro Fabian Acosta Fernandez | Facultad de Química, Universidad de la Republica, Uruguay | |
| Ivana Aguiar | Facultad de Química, Universidad de la Republica, Uruguay | |
| Natalia Alvarez | Facultad de Química, Universidad de la Republica, Uruguay | |
| Juan Agustín Badán | Instituto de Física Facultad de Ingeniería, Universidad de la Republica, Uruguay | |
| Nicolás Bespalko | Facultad de Química, Universidad de la Republica, Uruguay | |
| Selva Cora | Facultad de Química, Universidad de la Republica, Uruguay | |
| Luciana Fernández Werner | Facultad de Química, Universidad de la Republica, Uruguay | |
| Aline Katz Wisel | 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 | |
| Sebastian Piriz | Facultad de Química, Universidad de la Republica, Uruguay | |
| María Fernanda Rodríguez Franco | Facultad de Química, Universidad de la Republica, Uruguay | |
| Mauricio Rodríguez | Facultad de Química, Universidad de la Republica, Uruguay | |
| Mariano Romero | Facultad de Química, Universidad de la Republica, Uruguay | |
| Marc Segovia | Facultad de Química, Universidad de la Republica, Uruguay | |
| Maria Alejandra Szabo | 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 | |
| Gustavo Echeverría | LaNaDi-Universidad Nacional de La Plata, Argentina | |
| Leopoldo Suescun | Facultad de Química, Universidad de la Republica, Uruguay | |
| Ricardo Faccio | Facultad de Química, Universidad de la Republica, Uruguay | |
| Álvaro W. Mombrú | Facultad de Química, Universidad de la Republica, Uruguay | |
| Helena Pardo | Facultad de Química, Universidad de la Republica, Uruguay | |
| 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.
