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International Union of Crystallography
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International School on Fundamental Crystallography
Fourth MaThCryst school in Latin America
La Plata, Argentina, 27 April - 3 May 2014
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 spring 2014 we organized a school in Argentina, in continuation of our activity in the region after the previous shools in Havana, in Montevideo and in Uberlândia.
Scientific Program
Optional pre-school day: Sunday, April 27
Lecturers: Ernesto Estévez Rams and Leopoldo Suescun
Tutors: Ana Bianchi, C. Gustavo Pozzi, M. Susana Conconi
- Introduction to matrix algebra with exercises
- Fourier transforms and convolutions
Monday, 28 April 28 to Friday, 2 May
SECTION I: INTRODUCTION AND BASIC CONCEPTS
Lecturers: Massimo Nespolo, Mois I. Aroyo
Tutors: Ernesto Estévez Rams and Raimundo Lora Serrano
- 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
SECTION II: CRYSTALLOGRAPHY IN DIRECT SPACE
Lecturers: Massimo Nespolo, Mois I. Aroyo
Tutors: Leopoldo Suescun, Gustavo Echeverría
- 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
SECTION III: CRYSTALLOGRAPHY IN RECIPROCAL SPACE
Lecturers: Ernesto Estevez Rams, Leopoldo Suescun
Tutors: Gustavo Echeverría, Raimundo Lora Serrano
- The concept of dual lattices and the reciprocal lattice
- Crystallographic calculations in reciprocal space
- Integral, zonal and serial reflection conditions and their use to determine the space-group type
SECTION IV: CRYSTALLOGRAPHY ONLINE
Lecturers: Massimo Nespolo, Mois I. Aroyo
Tutor: Leopoldo Suescun
- 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 on twinning (Saturday 3 May)
Lecturers: Massimo Nespolo, Lee Daniels (Agilent)
- Basic definitions and nomenclature
- Strategies for twinning treatment
Posters exhibition
Monday, April 28 to Saturday, May 3
Notes:
The official language of the school was English but the presence of Spanish and Portuguese speaking tutors familiarized in advance with the lectures has provided assistance to those needing it by translation or answering questions on the topic.
International Program Committee
- Prof. Massimo Nespolo, Université de Lorraine, France, Chair
- Prof. Mois Ilia Aroyo, Universidad del País Vasco, Bilbao, Spain
- Prof. Ernesto Estévez Rams, Universidad de la Habana, Cuba (1st ISFC, 2007)
- Prof. Leopoldo Suescun, Universidad de la República, Uruguay (2nd ISCF, 2010)
- Prof. Raimundo Lora Serrano, Universidade Federal de Uberlandia, Brazil (3rd ISCF, 2012)
- Prof. Gustavo A. Echeverría, Universidad Nacional de La Plata, Argentina (4th ISFC, 2014)
- Prof. Diana Endara, Escuela Politécnica Nacional, Ecuador
- Dr. Lee Daniels, Agilent Scientist
Local Organizing Committee
- Prof. Gustavo A. Echeverría, Universidad Nacional de La Plata Chair
- Prof. Graciela Punte, Universidad Nacional de La Plata
- Prof. Oscar Piro, Universidad Nacional de La Plata.
- Dr. Ricardo Baggio, Centro Atomico Constituyentes, Buenos Aires
- Prof. Adriana Kang, Universidad Nacional de La Plata
- Dra. Ana Elisa Bianchi, Universidad Nacional de La Plata
- Lic. M. Susana Conconi, Centro de Tecnologia de Recursos Minerales y Céramica
- Lic. C. Gustavo Pozzi, Universidad Nacional de La Plata
Didactic material
See also the list of didactic material for the MaThCryst schools.
- E. E. Rams: Crystallographic vectorial algebra
- E. E. Rams: Exercises on crystallographic vectorial algebra
- E. E. Rams: Reciprocal space
- E. E. Rams: Diffraction equations
- E. E. Rams: Single crystal X-ray diffraction
- M. Nespolo: Twinning
- M. Aroyo: Point Groups 1
- M. Aroyo: Point Groups 2
- M. Aroyo: Symmetry Operations
- M. Aroyo: Space Grouos
- M. Aroyo: Group-subgroup relations
- M. Aroyo: Structure relations
- M. Aroyo: Pseudosymmetry
- L. Suescun: Data processing and reduction
- L. Suescun: Systematic Absences and Space Group determination
List of participants
| Name | Surname | Country | ||
| 1 | Sebastian | Suarez | Argentina | |
| 2 | Carina | Gaviglio | Argentina | |
| 3 | Pablo Eduardo | Rosi | Argentina | |
| 4 | Pablo Salvador | Gauna | Argentina | |
| 5 | Salvador Ivan | Drusin | Argentina | |
| 6 | Giuliano Andrés | Basso | Argentina | |
| 7 | Silvana Deisy Paulina | Tumminello | Argentina | |
| 8 | Juan Pablo | Bolletta | Argentina | |
| 9 | Heidy Lorena | Calamba Pulgarin | Argentina | m |
| 10 | Maria Luciana | Montes | Argentina | |
| 11 | Zuly Yuliana | Delgado Espinosa | Argentina | |
| 12 | Christian David | Alcivar León | Argentina | |
| 13 | Yanina Berrueta | Martinez | Argentina | |
| 14 | Matias | Gauna | Argentina | |
| 15 | Arles Gil | Rebza | Argentina | |
| 16 | Guillermo Arturo | Muñoz Medina | Argentina | |
| 17 | Juan | Nervi | Argentina | |
| 18 | Ana | Piotto | Argentina | |
| 19 | Fernando Garcia | Reyes | Argentina | |
| 20 | Javier | Martinez | Argentina | |
| 21 | Wilma Gladis Ticona | Chambi | Bolivia | |
| 22 | Marcelo Gabino | Gonsalez Saique | Bolivia | |
| 23 | Marcelo Barbosa | de Andrade | Brasil | |
| 24 | Richard Fernando | Dvries | Brasil | |
| 25 | Iuri Stefani | Brandt | Brasil | |
| 26 | Gerson Anderson | de Carvalho Lopez | Brasil | |
| 27 | Giovany Orozco | Hernandez | Colombia | |
| 28 | Maria Liliana Ospina | Castro | Colombia | |
| 29 | Andreas | Reiber | Colombia | |
| 30 | Melissa Camacho | Elizondo | Costa Rica | |
| 31 | Alfredo Martinez | Garcia | Mexico | |
| 32 | Shunashi Dehesa | Blas | Mexico | |
| 33 | Gabriel Bernardo | Rios Valer | Peru | |
| 34 | Maria Luisa | Cerón Loaysa | Peru | |
| 35 | Guzman Andrés | Peinado Lerena | Uruguay | |
| 36 | Esteban Alexander | Rodriguez Arce | Uruguay | |
| 37 | Daniel | Mast | USA |
Contact:
For inquiries about the scientifi program, please contact
. For all inquiries about the organisation, please contact:
Prof. Gustavo Echeverría
Departamento de Fisica, Universidad Nacional de La Plata
CC 67. 1900 La Plata. Argentina
.
The Organizers of the La Plata school have observed the basic policy of non-discrimination and affirms 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 could have prevented the participation of bona fide scientists.
