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International Union of Crystallography |
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International School on Fundamental Crystallography
Seventh MaThCryst school in Latin America
Lima, Peru, August 2024
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 February 2024 we organize a school in Lima following the previous schools in Havana, followed by schools in Montevideo, in Uberlândia, in La Plata. in Havana and in Bogotá.
The school was originally planned in November 2020, but due to the COVID19 outbreak in Latin America it has moved to August 2024.
Lecturers
- Mois I. Aroyo, University of the Basque Country, Spain
- Massimo Nespolo, Université de Lorraine, France
- Leopoldo Suescun, Universidad de la Republica, Uruguay
- Arbelio Penton-Madrigal, Universidad de la Habana, Cuba
- Ernesto Estevez Rams, Universidad de la Habana, Cuba
Venue
Universidad Nacional Mayor de San Marcos
Timetable
Morning session (3:30 hours):
Lectures 8:30 - 10:00
Coffee break: 10:00 10:30
Lectures 10:30 - 12:30
Lunch: 12:30 14:00
Afternoon session (4:00 hours):
Lectures 14:00 16:00
Coffee break: 16:00 16:30
Lectures 16:30 - 18:30
Scientific Program
1st Day, Monday, morning session:
8:30 - 8:40 Opening of the School
Lecturer Massimo Nespolo
Symmetry groups and types of symmetry in direct space. Bravais lattices, conventional and non-conventional unit cells. Symmetry of lattices and symmetry directions. Hermann-Mauguin symbols for point groups. Symmetry of crystallographic patterns: holohedries and merohedries. Crystal families, lattice systems and crystal systems.
1st Day: afternoon session
Lecturers Massimo Nespolo, Mois Aroyo
- Miller indices. Morphological symmetry, forms and zone. Stereographic projection and its use for the derivation of crystallographic point groups.
- Basic properties of groups (group axioms, order, multiplication tables, etc.).
- Subgroups, index, coset decompositions, Lagrange theorem. Concept of isomorphism and homomorphism. Matrix-column presentation of symmetry operations. Symmetry elements: geometric elements and element sets. Geometric interpretation of the matrix-column presentation of the symmetry operations. Transformations of the coordinate systems: change of origin and orientation.
2nd Day, Tuesday, morning session:
Lecturer Mois Arroyo
- Group-subgroup relations (general considerations): index, coset decomposition and normal subgroups. Conjugation and normalizers; conjugate elements and conjugate subgroups; factor groups and homomorphism.
- Wyckoff positions for point group. Relations of Wyckoff positions for a group-subgroup pair. Supergroups of point groups.
2nd Day: afternoon session
Lecturer: Massimo Nespolo
- Space groups - general introduction: periodic structure of the crystalline matter. Screw axes and glide planes.
- Orthogonal projections of space groups. Exercises on space-group diagrams from Volume A of the International Tables for Crystallography. General and special positions, site-symmetry groups.
3rd Day, Wednesday, morning session:
Lecturer Mois I. Aroyo
- Space groups and their description in International Tables for Crystallography, Vol. A. Algebraic determination of Wyckoff positions and site-symmetry groups.
- Computer databases and access tools to crystallographic symmetry data forspace groups (International Tables for Crystallography, Volume A: Space-group symmetry): symmetry operations and their matrix-column presentation; geometric interpretation; general and special Wyckoff positions, site symmetry.
3rd Day: afternoon session:
Lecturer Mois I. Aroyo
- Conventional and non-conventional descriptions of space groups; ITA settings.
- Group-subgroup relations between space groups: Subgroups of space groups: types of subgroups of space groups; Hermann theorem; maximal subgroups; series of isomorphic subgroups. Coset decomposition.
4th Day, Thursday, morning session:
Lecturers Leopoldo Suescun, Arbelio Penton-Madrigal, Ernesto Estevez Rams
- Reciprocal space
- Crystallographic calculations in reciprocal space
- Introduction to diffraction
4th Day: afternoon session
Lecturers Leopoldo Suescun, Arbelio Penton-Madrigal, Ernesto Estevez Rams
- Diffraction symmetry: Laue classes, Friedel's law, resonant scattering.
- Integral, zonal and serial reflection conditions and their use to determine the space-group type. Special reflection conditions.
5th Day, Friday, morning session:
Lecturer Mois I. Aroyo
- Maximal subgroups data and related computer applications: (i) Introduction and use of the databases of the IT-Online server and the Bilbao Crystallographic server of maximal subgroups, series of isomorphic subgroups and minimal supergroups; (ii) General group-subgroup relations between space groups: computer programs on the IT-Online server and the Bilbao Crystallographic Server.
- Relations of Wyckoff positions for a group-subgroup pair. Supergroups of space groups.
5th Day: afternoon session
Lecturers Mois I. Aroyo, Leopoldo Suescun
- Crystal-structure descriptions I. Basis transformations and crystal-structure descriptions; structure descriptions compatible with symmetry reduction (the program TRANSTRU). Descriptions of crystal structures with respect to different ITA settings of the space groups (the program SETSTRU). Equivalent crystal structure descriptions (the programs EQUIVSTRU and COMPSTRU).
- Crystal-structure relations. Group-subgroup relations between space groups and the construction of structure family trees (Baernighausen trees (the program STRUCTURE RELATIONS).
Language
The official language of the school is English but the presence of Spanish speaking tutors familiarized in advance with the lectures will provid assistance to those needing it by translation or answering questions on the topic.
International Program Committee
- Prof. Massimo Nespolo, Université de Lorraine, France
- Prof. Mois Ilia Aroyo, Universidad del País Vasco, Bilbao, Spain
- Dr. Gemma de la Flor Martín, Karlsruhe Institute of Technology, Germany
- Prof. Leopoldo Suescun, Universidad de la República, Uruguay
Local Organizing Committee
- Dr. Justiniano Quispe Marcatoma, Universidad Nacional Mayor de San Marcos
- Dr. Maria Quintana Caceda, Universidad Nacional de Ingeniaria
- Dr. Carlos Landauro Saenz, Universidad Nacional Mayor de San Marcos
- MSc. Maria Luisa Ceron Loayza, Universidad Nacional Mayor de San Marcos
- Dr. Victor Pena Rodriguez, Universidad Nacional Mayor de San Marcos
- Dr. Gladys Ocharan Velasquez. National University of San Agustin
- Dr. Hector Loro Ramirez. National University of Engineering
- MSc. Silvia Espinoza Suarez, Universidad Nacional Mayor de San Marcos
- Dr. Juan Carlos Gonzalez Gonzalez, Universidad Nacional Mayor de San Marcos
- Dr. Lyda la Torre Riveros, Universidad Nacional de San Antonio de Abad del Cusco
- Dr. Veronica Carranza Oropeza, Universidad Nacional Mayor de San Marcos
- Dr. Elvira Zeballos Velasquez, Universidad Nacional Mayor de San Marcos
Poster presentations
Participants will be able to present their research highlights as posters. Abstracts of poster presentations will be made available from this website after the end of the school.
Contact:
For inquiries about the scientific program, please contact . For all inquiries about the organisation, please contact Prof. Justiniano Quispe, Universidad Nacional Mayor de San Marcos, Lima .
Statement on Gender Balance at the ISFC7 school
The ISFC7 school Organizing Committee fully supports and promotes gender equality in accordance with the IUCr policy.
We will ensure gender equality in our committees (including the Organizing Committee itself), among our lecturers and participants and pay special attention to the gender balance in evaluating bursary applications.
Further information can be found on the web site of IUCR’s Gender Equity and Diversity Committee GEDC. This page contains a code of conduct, a GEDC conference speaker statement and a toolkit for conference organisers.
Scientific Freedom Policy Statement
The Organizing Committee of ISFC7 school shall observe 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 ethnic origin, religion, citizenship, language, political stance, gender, sex or age, in accordance with the Statutes of the International Council for Science. At ISFC7 school no barriers will exist which would prevent the participation of bona fide scientists.
Diversity, Equality and Inclusion Statement
We welcome all crystallographers and scientists working in related fields, regardless of their ethnic origin, race, citizenship, language, political views, gender, sex, sexual preferences, physical disabilities and age. We strive to create a culture of diversity, equality and inclusion.
