Course Overview

Students are able to describe the magnetic properties of molecular
compounds and inorganic materials along with selected applications.
They acquire the relevant knowledge and become familiar with
dielectric and ferroelectric materials used in microelectronics and
sensors industries. Students acquire competencies concerning
polarizable materials, their shapings and applications. 

Objectives:

- Acquiring the basic concepts of magnetic and dielectric properties
- Application to molecule-based materials and inorganic materials

Learning Achievement

Competence

Course prerequisites

- Academic level: BSc / Master 1
- Language prerequisites: English

ADVISED BOOKS:

- Magnetic properties: Magnetism in Condensed Matter S. Blundell
Ed. Oxford Univ. Press(2001), Molecular Magnetism, O. Kahn, VCH,
Verlag (1993).

-
Dielectric properties: propriétés diélectriques des matériaux
isolants, Coehlo Roland, Physique de l'état solide, KittelCharles,
Dielectric Relaxationsin Solids, Jonscher, Andrew

Grading Philosophy

Written final exam: 3h

The first session will take place in the beginning of May.

In case of failure, a second session will be organized for the final
exam, either as a written final exam or an oral session depending on
the number of failing students. This 2nd session will take place at
the end of June 

Course schedule

I. MAGNETIC PROPERTIES (MP)
> Compounds with one single magnetic center
- Fundamental formula in magnetism and Curie law. Examples. Deviation
from Curie law: Orbital Momentum (first and second order).

-
Tutorials: application of the Curie law to different metals:
transition metals, lanthanides. Calculation of the magnetic
susceptibility in thepresence of zero filed splitting (case of a spin
S=1)

> Compounds with two magnetic centers in interaction

-
Existence of magnetic interaction. Heisenberg’s Hamiltonian. Origin
of exchange interaction. Kahn’s model.

-
Tutorials: a few examples of dinuclear compounds: predicting the
ferromagnetic or antiferromagnetic character of the interaction. 

> Molecular compounds: advanced magnetic properties

- Spin Crossover Compounds. Spin transition : role of the
intermolecular interactions.
- Photomagnetic properties : photo-induced spin crossover and
electron transfer.
- Tutorials: Thermal and photo-induced spin crossover.
- Tutorials: From molecules to materials : the Prussian Blue analogs.
Ferri-,ferromagnetic ordering. Photo-magnets. 

> Single-Moleculemagnets: advanced magnetic properties. Giant spin
(Macro-spin) approximation. 

- Slow relaxation of the magnetization. 

> Magnetic ordering: from the dinuclear molecular to magnetic
materials. Mean-fieldapproach. 

- Criteria to get an high Curie temperature ( high |J| value,high
S,...). 

> Dynamics phenomena: hysteresis cycles.

- Magnetization.Formation of domains and walls. Observation.
- Nanoparticules: Superparamagnetism.
- Tutorials: Substitution effects and size of nanoparticules in the
perovskitesLnCoO3(Ln=La3+and Gd3+)
- Tutorials: Application des règles de Goodenough-Kanamori à des
phasesspinnel de type AFe2O4(A= Fe3+,Ti3+,Al3+,Ni2+).

II. DIELECTRIC PROPERTIES (DE)

1. Background
- dipoles, polarisation, dipolarinteractions, microscopic models

-
complex dielectric permittivity, dielectric losses

-
dielectric dispersion : relaxations, resonances (…), basic relations

-
measuring the dielectric permittivity : impedance and optical
spectroscopies

-
metal/dielectric interfaces

2. Low permittivity dielectrics

- Most used oxide in electronics: amorphous silica SiO2
- Other oxydes: Al2O3,MgO, Ta2O5,TiO2…

3. High dielectric permittivity materials

- substituted alkali halides : KCl :OH, KCl :Li
- ferroelectric materials : spontaneous polarisation, ferroelectric
domains
- relaxor materials
- ferroelectric and multiferroic materials

4. Chemical bonding/polarisability/dielectric permittivity

- polarisability of simple oxides
- transition metal oxides
- anisotropy and permanent dipoles in octaedral symetry
- influence of the chemical bonding

5. Processing and use of dielectric materials

- shaping of dielectrics
- multilayers ceramic capacitors ; contributions from grain
boundaries
- super capacitors(Ta, Al, Nb)
- thi nfilms and nanoparticles
- finite size effects
- composites

OBJECTIVES: knowledge about polarisable materials, their synthesis and
processing and their applications

Course type

- 51 lectures, exercise sessions and practical work hours. - 105 Self-study hours: (50 hours private reading, 20 hours project/practical preparation and report, 35 hours exam preparation.

Online Course Requirement

Instructor

Other information

> The teaching team is constituted of: C. Mathonière, C. Desplanches,
O.Toulemonde, M. Maglione, M. Josse.
> Bibliograph:

- Molecular Magnetism O. Kahn, VCH, 1993.
- Magnétisme : I fondements et II matériaux et applications,
EDPSciences
- Les diélectriques : propriétés diélectriques des matériaux
isolants, Coehlo Roland
- Physique de l'état solide, Kittel Charles
- Dielectric Relaxations in Solids, Jonscher, Andrew

>This course is part of the Erasmus Mundus Master FAME (Functional
Advanced Materials Engineering)_ a_nd the EIT-labelled Master AMIS
(AdvancedMaterials for Innovation and Sustainability).

Duration: 8 weeks

Language of instruction: Main tutorials in French, tutoring and exercise sessions in english
Mode of delivery: Face-to-face teaching

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