The course aims to provide the general basis of crystallography and crystallographic methods. From an homogenization of the initial basis of all students of the master we will proceeded to deeply develop all basic concepts required to progress in the study of the actual crystallographic methods both in advanced research and professional skills. Theories and methods developed in the last hundred years by many crystallographers, including more than 25 Nobel Prize winners, will be extracted and transmitted in this module To achieve that we will follow, as backbone, the book Fundamentals of Crystallography and a selected group of very active scientists working on the field of crystallography, senior outstanding crystallographers. The course is based on the experience of three former editions, allowing consider the inputs of three generations of students, to have more elaborated materials and tuning the time schedules. All concepts will be develop by scientists with a solid background on crystallography working for many years directly on crystallography and using and developing new methodologies in crystallography and related fields.
Fundamentals of crystallography
101159
2016-17
MASTER'S DEGREE IN CRYSTALLOGRAPHY AND CRYSTALLIZATION
4
MANDATORY
Duracion A
English
The aim of Fundamentals of Crystallography is to provide an advanced
background on the historical, mathematical, methodological and practical
aspects of crystallography. That will be essential tools to develop all
following matters and subjects.
One fundamental concept to develop is symmetry, with special emphasis to 1-D,
2-D and 3-D periodic systems, introducing the special symmetry aspects of
aperiodic structures, modulated systems, and non crystallographic symmetries.
Particular attention will be paid to the mathematical formulation of symmetry
and the use of the International Tables for Crystallography. Concepts of
crystallographic point groups, crystal lattices and space groups will be
deeply investigated from both theoretical and practical points of view.
Next, the concept to introduce is the Reciprocal Space, dual with the
Real Space and the basis of the Diffraction experiment, the Ewal Sphere, and
directly related to the Fourier Transform operation.
The twinning observed in many crystalline materials will be addressed
explaining the twin laws and studying the methods for detect and handle all
different kinds of twinned materials.
The importance of the chemical contents of the crystals, and all atomic
and molecular interactions within the crystal lattices will be fully
introduced. These atomic and molecular contents have full influence on the
crystal growth, the crystal habits and the physical and functional properties
of these materials. Particular attention will be paid to the anomalous
dispersion and the relation with the determination of the absolute structure,
and its importance on drug development, and the multiple applications of the
absorption edges in the field of macromolecular crystallography and materials
sciences.
At the end of this course the students will be able to fully understand
the symmetries of the Real and Reciprocal Spaces and its relationships, in
particular those related with the diffraction experiments. The students should
be able to use all existing mathematical tools to describe spatial symmetry
and symmetry transformations. Understand the role of atoms and molecules and
their interactions in building the crystal and giving the properties to a
particular crystalline material.
CG1. Capacity for analysis and synthesis
CG2. Troubleshooting
CG3. Working in an interdisciplinary team
CG4. Working in an international context
CG5. Learning and work independently
CG6. Ability to apply theoretical knowledge in practice
CG7. Capacity to development and transmission of ideas, projects,
reports, solutions and problems
CG8. Ability to organize and plan
CG9. Ability to understand the language and proposals of other
specialists
CE1. Knowing what a crystal and its differences with other states of matter:
gases, liquids, amorphous materials, polymers, etc..
CE2. Analyze the existing symmetry in any periodic distribution
(crystalline or macroscopic).
CE3. Determine the network descriptor vectors and the cell correctly
defining the periodic distribution.
CE4. Assign the symmetry group distribution.
CE5. Handling Tables of Crystallography and deduction of the topological
properties of the distribution.
CE6. Understand the impact position entails the constituents of the
distribution and the interactions between them.
- Active Classes
- Problem-solving workshops.
- Workshops and experimental demonstrations in the classroom.
- Practices computing and databases
- Individual or group tutoring
- Seminars.
- Visits to company or research center
- Evaluation
- Team work
At the end of the matter, the student, using these fundamental theoretical
knowledge / practical about:
- Translations periodicals. Conventional analysis of periodic
structures. Reference systems and description.
- Symmetry of solids and crystals. Tools to facilitate the description
of the periodic structures.
- Description of crystal structures. Reference systems. Systematization,
and naming conventions. International Tables for Crystallography.
- Constituents of the crystals and their interactions.
The evaluation system will be based on a personal and continuous interaction
at expositive classes and workshops. The individual or group contributions to
solve the problems given in the workshops and the personal initiatives of work
on widen particular aspects of interest will be taken in account.
Control test examinations will be performed along the course to check the
level of understanding.
Considering all these inputs a final mark will be given to each student, after
a joint discussion of all professors.
From 9:00 to 17:30 from Monday to Friday
This document can be used as reference documentation of this subject for the application for recognition of credits in other study programmes. For its full effect, it should be stamped by UIMP Student's Office.
Description undefined
Duracion A
ECTS Credits: 4
García Granda, Santiago
Catedrático de Química Física
Universidad de Oviedo
Presidente de la European Crystallographic Association
Aroyo , Mois Ilia
Profesor Agregado
Facultad de Ciencia y Tecnología
Universidad del País Vasco
Giacovazzo , Carmelo
Full Professor
University of Bari, Italy
Gutiérrez Puebla, Enrique
Profesor de Investigación
Instituto de Ciencia de Materiales de Madrid (ICMM)
Consejo Superior de Investigaciones Científicas (CSIC)