Scientific Program

Detailed Program

Arrival Day (14 June 2024-Friday) - afternoon  

15:30 - 19:00 Arrival and registration of the participants.

19:00 - 20:30 Welcome Reception.

Pre-school Day (15 June 2024-Saturday): morning session (MN, MIA)

8.30 - 10:30 (MN) Revision 1 Crystallographic point groups.

Basic properties of groups (group axioms, order, multiplication tables, etc.). Subgroups, index, coset decompositions, Lagrange theorem. Concept of isomorphism and homomorphism. Group actions: conjugation and normalizers.

11:00 - 12:00 (MN) Revision 1 Crystallographic point groups (cont.)

Wyckoff positions for point groups. Overview of crystallographic point groups and their Hermann-Mauguin symbols.

12:00 - 13:00 (MIA) Revision 2 Matrix calculus applied to crystallography.

Isometries and crystallographic symmetry operations. Crystallographic point and space-group symmetry operations. Matrix-column presentation of symmetry operations. Symmetry elements: geometric elements and element sets.

Pre-school Day (15 June 2024-Saturday): afternoon session (MIA)

14:30 - 15:30 (MIA) Revision 2 Matrix calculus applied to crystallography (cont.)

15:30 - 16:30 (MIA) Revision 3: Representations of point groups 

Representations of crystallographic groups: definition and basic properties. Irreducible and reducible representations.

17:00 - 19:00 (MIA) Revision 3: Representations of point groups (cont.)

Subduced and induced representations. Direct product representations. Database of Bilbao Crystallographic Server on point-group representations.

1st  Day (16 June 2024-Sunday): morning session(MN)

08:30 - 09:00 Opening of the school.

09:00 - 10:30 (MN) Space-groups – general introduction:

Periodic structure of the crystalline matter: lattices and their basic properties. Structure of space-groups: point-groups of space-groups. Coset decomposition of the space-group with respect to its translation subgroup. Symmorphic and non-symmorphic space-groups.

Poster contributions-discussion during the coffee break.

11:00 - 12:00 (MN) Space-groups – general introduction (cont.) - Classification of space-groups.

12:00 – 13:00 (MN) Space-groups and their descriptions: Symbols of space-groups.

1st  Day (16 June 2024-Sunday): afternoon session

14:30 - 16:30 (MN) Space groups and their descriptions (cont.): 

Description of space-group symmetry operations. Space-group diagrams. General and special positions, sitesymmetry groups, crystallographic orbits.  

Poster contributions-discussion during the coffee break.

17:00 - 19:00 (MIA) Representations of space groups:

Representations of the translation group. Symmetry in reciprocal space: Brillouin zones and wave-vector symmetry types. Irreducible representations of space groups and their construction. Subduced and direct-product representations of space groups. Brillouin-zone database of Bilbao Crystallographic Server. Basic computer tools for space-group representations.  

1st  Day (16 June 2024-Sunday): evening session (optional)

Discussions, questions and comments on the lecture and exercise material of the day.

2nd Day (17 June 2024-Monday): morning session(MN, MIA)

08:15 - 9:45 (MN) Transformations of the coordinate systems: change of origin and orientation. Conventional and non-conventional descriptions of space groups; ITA-settings. 

09:45 - 10:30 (MIA) 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. Relations of Wyckoff positions for a group-subgroup pair. Supergroups of space-groups.

Poster contributions-discussion during the coffee break.

11:00 - 13:00 (MIA) Group-subgroup relations between space groups (cont.).

13:00 - 14:00 (MIA) Computer databases and access tools to crystallographic symmetry data for space-groups. Maximal subgroups data and related computer application in the Bilbao Crystallographic Server.

2nd  Day (17 June 2024-Monday): afternoon session

14:30 - 19:00 Excursion in Shanghai.

19:30 - 22:00 Dinner in the town.

3rd Day (18 June 2024-Tuesday): morning session (MIA)

08:30 - 10:30 (MIA) Crystal-structure tools of the Bilbao Crystallographic Server:

Crystal-structure descriptions. 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 descriptions compatible with symmetry reduction (the program TRANSTRU).

11:00 - 12:00 (MIA) Crystal-structure relationships. Family trees (Baernighausen trees) of crystal-structures: aristotype (basic) and  hettotypes (derivative) structures (the program STRUCTURE RELATIONS).

12:00 - 13:00 (MIA) Structural pseudosymmetry. Pseudosymmetry search for new ferroics. Application in structural phase transitions (the program PSEUDO).

3rd Day (18 June 2024-Tuesday): afternoon session

14:30 - 16:30 (JMPM) Group-subgroup relations of space groups and their applications to phase transitions (SUBGROUPS, AMPLIMODES) - First part.

17:00 - 19:00 (JMPM) Group-subgroup relations of space groups and their applications to phase transitions (SUBGROUPS, AMPLIMODES) - Second part.

3rd Day (18 June 2024-Tuesday): evening session (optional)

Discussions, questions and comments on the lecture and exercise material of the day.

4th Day (19 June 2024 - Wednesday): morning session (JMPM)

08:30 - 10:30(JMPM)Magnetic symmetry.  Magnetic point operations and point groups, connection to magnetic tensor properties. Magnetic space-groups and their presentation in D. Litvin’s tables. OG and BNS settings of type-IV magnetic space-groups.

11:00 - 13:00(JMPM) Representation analysis vs magnetic symmetry description of magnetic structures.

4th Day (19 June 2024-Wednesday): afternoon session (JMPM)

14:30 - 16:30(JMPM)Magnetic symmetry and its applications in the databases and tools of the Bilbao Crystallographic Server. Magnetic point and magnetic space-groups. General and special Wyckoff positions. Magnetic symmetry material tensors. Extinction rules for magnetic space-groups. Maximal magnetic space-groups for a given a propagation vector and resulting magnetic structural models.

17:00 - 19:00(JMPM)Database of magnetic structures on the Bilbao Crystallographic Server.

4th Day (19 June 2024-Wednesday): evening session (optional)

Discussions, questions and comments on the lecture and exercise material of the day.

5th Day (20 June 2024-Thursday): morning session(LZ) 

8:30 - 10:30. (LZ) Chiral Phonons: definitions and theoretical description  

11:00 -13:00 (LZ) Emergent phenomena with chiral phonons.

5th Day  (20 June 2024-Thursday): afternoon session(MN, DA, BJC)

14:30 - 16:30(MN) Chirality: from molecules to crystal structures.

17:00 - 19:00 (DA) (on-line) Continuous symmetry and chirality measures: Principles and applications across the natural sciences.

19:00 - 21:00 (BJC) (on-line) A new symmetry-mode based descriptor of chirality. Applications to chiral organic-inorganic hybrid metal-halides.

21:00 - 23:00: Poster session (with buffet and drink)

6th Day (21 June 2024-Friday): morning session (SWC)

 8:30 - 10:30 (SWC) Chirality and Kinetomagnetism.

  11:00 -13:00 (SWC) Altermagnetism and Kinetomagnetism

6th Day (21 June 2024-Friday): afternoon session(GA, MC)

14:30 - 16:30 (GA) Chirality, Relativity and The Standard Model of Particle Physics.

 17:00 - 18:00: (MC) How to get published and be read

 18:00 - 18:30: Conclusion remarks. Final farewell and end of the school.