The International School on Fundamental Crystallography, a series of educational schools in Latin America, commenced
seventeen years ago at the University of Havana, Cuba, and has been hosted
biannually in various countries across the region, including Havana, Cuba,
Montevideo, Uruguay, Uberlândia, Brazil, La Plata, Argentina, and Bogota,
Colombia. The school has served as an important space for the training of Latin
American graduate students in the field of crystallography.
The VII edition of the
school, set to take place in Lima, Peru, in 2020, was postponed due to the
global COVID-19 pandemic. Consequently, at the request of the Peruvian academic
community, the Commission on "Mathematical and Theoretical Crystallography"
of the International Union of Crystallography (IUCr) granted the Faculty of
Physical Sciences at the Universidad Nacional Mayor de San Marcos in Lima,
Peru, the opportunity to organize the International School on Fundamental
Crystallography: Seventh MaThCryst School in Latin America, from August 12 to
16, 2024.
The school, designed for
students from the region, aims to bring together crystallographers from various
countries and promote graduate studies in this scientific field. Since its
first edition, the school has experienced steady growth in the number of participating
Latin American professors and students, thanks to financial support from
important institutions such as the IUCr, CLAF, and other regional universities.
It is noteworthy that this event has already been recognized as an official
school of the IUCr.
Morning session (3:30 hours):
| Afternoon session (4:00 hours):
|
Lectures 8:30 - 10:00
| Lectures 14:00 16:00
|
Coffee break: 10:00 10:30
| Coffee break: 16:00 16:30
|
Lectures 10:30 - 12:30
| Lectures 16:30 - 18:30
|
Lunch: 12:30 - 14:00
|
|
Program
1st Day, Monday, morning
session:
8:30 - 8:40 Opening of the
School
8:40-9:30 Opening lecture: María Cristina Nonato
X-ray crystallography : from
material science to drug discovery
10:30-12:30 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 Aroyo.
- 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: Tuesday, 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 for space 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, Wednesday, 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, Maria Cristina Nonato, Arbelio Penton-Madrigal, Ernesto Estevez Rams.
- Reciprocal space
- Crystallographic calculations in reciprocal space
- Introduction to diffraction
4th Day, Thursday, afternoon
session
Lecturers: Leopoldo Suescun, Maria Cristina Nonato, 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.
Poster session: Thursday, 16:00 -18:30
5th
Day, Friday, morning session:
Lecturers: Gemma de la Flor
Martín, tutor Leopoldo Suescun
- 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, Friday, afternoon
session
Lecturers: Gemma de la Flor
Martín, tutor 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).
Closing lecture: María Cristina Nonato
Fragment screening by X-ray
crystallography, an important tool to develop new therapies
against infectious diseases.
Gender Equity and Diversity Policy
Herewith,
we the organizers of International School on Fundamental Crystallography.
Seventh MaThCryst School in Latin America endorse the IUCr GEDC Code of Conduct.
Statement on Gender Balance
at International School on Fundamental
Crystallography. Seventh MaThCryst School in Latin America.
The
International School on Fundamental Crystallography. Seventh MaThCryst School
in Latin America Organizing Committee fully supports and promotes gender
equality in accordance with the IUCr policy https://www.iucr.org/iucr/principles-and-policies/gender-balance.
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.
Our gender statistics on female
participation in the schools conducted are shown in the following graph. In
this context and in accordance with IUCr policies and according to the observed
behavior, in the present school we will emphasize female participation. For
further information, our gender equity and diversity advisor is MSc. Maria
Luisa Cerón Loayza (e-mail: mceronl@unmsm.edu.pe).
Further information can be found
on the web site of IUCR’s Gender Equity and Diversity Committee GEDC (https://www.iucr.org/iucr/governance/advisory-committees/gedc). This page contains a code of
conduct, a GEDC conference speaker statement and a toolkit for conference
organizers.
Scientific Freedom Policy
Statement
The Organizing Committee of
International School on Fundamental Crystallography. Seventh MaThCryst School
in Latin America 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 International School
on Fundamental Crystallography. Seventh MaThCryst School in Latin America 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.
Faculty of Physical Sciences - UNMSM - Lima - Provincia de Lima - Peru | Perú - Piruw
