MaThCryst forthcoming activities

Thirteenth basic training course on symmetry and group theory, July 2025, Tsukuba (Japan)





MaThCryst recent activities

MACSMIN 2024 hybrid conference, September 2024, Liverpool (UK)


Seventh MaThCryst School in Latin America, August 2024, Lima (Peru)


Twelth basic training course on symmetry and group theory, July 2024, Tsukuba (Japan)


Third Shanghai International Crystallographic School, June 2024, Shanghai (China)


Eleventh basic and second advanced training course on symmetry and group theory, July 2023, Tsukuba (Japan)


Summer School, June 2023, Nancy (France)


Tenth training course on symmetry and group theory, August 2022, Tsukuba (Japan)


2022 Spring Festival Crystallographic School and Workshop on Crystal-field Applications February 2022, Berijing (China)


Crystallography Online: Workshop on the use and applications of the structural and magnetic tools of the Bilbao Crystallographic Server January 2022, Leioa (Spain)


Mathematics and Computer Science for Materials Innovation, September 2021, online


Ninth training course on symmetry and group theory, September 2021, Tsukuba (Japan)


2021 SIAM Conference on Mathematical Aspects of Materials Science, May 2021, Bilbao (Spain)


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MaThCryst Workshop on Mathematical Crystallography

Symmetry relationships between crystal structures with application to structural phase transitions

Banaras, India, 27-31 October 2014

In cooperation with the IUCr Commission on Inorganic and Mineral Structures

Venue

Indian Institute of Technology, Banaras Hindu University, Varanasi-221005, INDIA

The main focus of the workshop was on the application of representation theory to structural and magnetic phase transitions in functional materials like ferroics and multiferroics. The workshop had foundation lectures on topics like basics of crystallographic groups, symmetry relationships between crystal structures and representations of crystallographic groups. This was followed by interpretation of x-ray and neutron diffraction patterns from crystals undergoing structural and magnetic phase transitions. There were hands on practicals on description of space groups in International Tables for Crystallography, Vol. A and online training for determination of subgroups of space groups, crystal structure relations and pseudosymmetry, representations of space groups and symmetry mode analysis using Bilbao Crystallographic Server. Practicals on refinement of magnetic and nuclear structures using FullProf Suite were also given.

Speakers

Organizers

Sponsors

International Program Committee

Local Organizing Committee

Workshop Coordinator

Prof. Dhananjai Pandey, Indian Institute of Technology (BHU), Varanasi

Bursary Award

Thanks to IUCr, young scientists (e.g. PhD students, post-docs, and recent graduates who have not yet secured permanent employment) from outside India, preferably below the age of 30 years but in no case above 35 years, were eligible to apply for bursary awards to support their attendance at the workshop. In order to be eligible for the IUCr bursary awards, the applicant had to register, if not already registered, in the World Database of Crystallographers (WDC - registration is free of charge)

Contact

Secretary, IUCr Workshop, School of Materials Science and Technology, IIT(BHU), Varanasi, India. 221005 Email: , homepage: iitbhu.ac.in/conferences/mst/IUCr/.

Accommodation

On-Campus (Institute Guest House) Accommodation

Limited on-campus accommodation on twin sharing basis (US$ 30 or Rs. 1800 per bed per night) in the Institute guest house were available on first-come, first-serve basis. The accommodation charge included morning breakfast.

About the city

Varanasi, also known as Kashi or Benares or Banaras, is one of world's oldest living cities. It is regarded as the religious capital of India. The city is located on the left bank of the holy river Ganga (Ganges), and is one of the seven sacred pilgrimage cities for Hindus. In the words of Mark Twain, the famous English author and litt?rateur: "Benaras is older than history, older than tradition, older even than legend and looks twice as old as all of them put together". Lord Budha gave his first set of sermons at Sarnath, located in the outskirts of Varanasi, nearly 2500 years ago. Buddhists from all over the world visit the holy city on pilgrimage. To be in Varanasi is an experience in itself. The majestic ghats on the banks of Ganga, morning sunrise at the ghats, visit to famous temples and evening Ganga Aarati are some of the special attractions. Varanasi is also renowned for its rich tradition of music, arts, crafts and education. For more details, visit varanasi.nic.in.

varanasi

Daily timetable:

Morning session (4 hours):
Lectures 9:00 - 11:00 11:30 - 13:30
Coffee break: 11:00 - 11:30

Lunch: 13:30 - 14:30

Afternoon session (4 hours):
Lectures: 14:30 - 16:30 17:00 - 19:00
Coffee break: 16:30 - 17:00

Program

1st day (morning session): Basic facts on crystallographic groups (part 1)

Coordinators and main lecturers: M. Nespolo and M.I. Aroyo

1st day (afternoon session): Basic facts on crystallographic groups (part 2)

Coordinators and main lecturers: M. Nespolo and M.I. Aroyo

2nd day (morning session): Space groups and their symmetry relations (part 1)

Coordinators and main lecturers: M. Nespolo and M.I. Aroyo

Space groups and their descriptions in International Tables for Crystallography, Vol. A. Classification of space groups: Lattice systems and crystal systems. Hermann-Mauguin symbols for space groups. Symmetry-elements and general-position space-group diagrams. General and special positions, site-symmetry groups, crystallographic orbits.
Practical: Description of space groups in International Tables for Crystallography, Vol. A.

2nd day (afternoon session): Space groups and their symmetry relations (part 2)

Coordinators and main lecturers: M. Nespolo and M.I. Aroyo

Group-subgroup relations (general considerations): index, coset decomposition and normal and conjugate subgroups. Subgroups of space groups: types of subgroups of space groups; Hermann theorem and maximal subgroups. Relations of Wyckoff positions for a group-subgroup pair. Supergroups of space groups.
Practical: Online tools for subgroups of space groups on the Bilbao Crystallographic Server.

3rd day (morning session): Representations of crystallographic groups (part 1)

Coordinator and main lecturer: M.I. Aroyo

Representations of point groups: General remarks on representations. Equivalent, reducible and irreducible representations. Characters of representations and character tables. Simple applications of representations in solid-state physics and chemistry problems.
Practical: Online tools for representations of point groups on the Bilbao Crystallographic Server.

3rd day (afternoon session): Representations of crystallographic groups (part 2)

Coordinator and main lecturer: M.I. Aroyo

Representations of space groups: Representation of the translation group. Star of a representation. Little groups and small representations. Representations of symmorphic and non-symmorphic groups.
Practical: Online tools for representations of space groups on the Bilbao Crystallographic Server.

4th day (morning session): Structural phase transitions

Coordinators and main lecturers: D. Pandey and M.I. Aroyo

4th day (afternoon session): Structure refinement with FULLPROF (part 1)

Coordinator and main lecturer: Juan Rodriguez-Carvajal

5th day (morning session): Structure refinement with FULLPROF (part 2)

Coordinator and main lecturer: Juan Rodriguez-Carvajal

5th day (afternoon session): Symmetry relationships between crystal structures

Coordinator and main lecturer: M. I. Aroyo

Didactic material

See also the list of didactic material for the MaThCryst schools.


The Organizers of the MaThCryst Workshop on mathematical crystallography 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 workshop no barriers existed which would have prevented the participation of bona fide scientists.