MOSCOW STATE UNIVERSITY · RUSSIA
Special Course: Dynamic Properties of Magnetic Materials
Master's · Taught in en
At a glance
12 mo
Duration
—
IELTS
—
Tuition / yr
en
Language
Master's
Level
This is a specialized course designed for 5th-year students focusing on the dynamic properties of magnetic materials. It delves into the fundamental concepts of magnetic resonance and explores various phenomena like cyclotron resonance, electron paramagnetic resonance (EPR), and acoustic paramagnetic resonance. The course also covers advanced topics such as muon spin resonance for investigating magnetic fields in ordered materials, and the behavior of magnetic materials in alternating fields, including ferromagnetic, antiferromagnetic, and ferrimagnetic resonance. Spin waves in ferromagnets and magneto-optical effects are also key areas of study. This course provides an in-depth understanding of magnetic phenomena and their interactions with electromagnetic fields.
Curriculum
The course covers the following key areas:
- Year 1
- Introduction. Goals and Objectives of the Special Course "Dynamic Properties of Magnetic Materials"
- Magnetic Resonance. Spin System and Reservoir (Lattice). Population Changes of Magnetic System Levels Over Time. Selection Rules. Transition Probabilities. Saturation Effect.
- Magnetic (Electronic) Resonance in Substances Without Magnetic Order
- Cyclotron Resonance. Landau Levels. Larmor Frequency. Anomalous Skin Effect. Azbel-Kaner Resonance.
- Electron Paramagnetic Resonance (EPR). Spin-Spin and Spin-Orbit Interactions. Crystal Field (Weak, Strong, and Super-strong Fields). Spin Hamiltonian of 3d and 4f Ions. Hyperfine Structure. Kramers' Theorem, Jahn-Teller Effect. EPR Line Width. Relaxation. Waller, Kronig, Van Vleck Mechanisms. Basic Scheme of an EPR Spectrometer.
- Acoustic Paramagnetic Resonance.
- Muon Spin Resonance as a Method for Studying Local Magnetic Fields in Magnetically Ordered Substances.
- Magnetically Ordered Substances in Alternating Magnetic Fields.
- Ferromagnetic Resonance (FMR). Landau-Lifshitz Equation. Effective Field (Anisotropy Field, Demagnetizing Field). Linearized Landau-Lifshitz Equation. FMR Free Oscillation Frequency (Kittel's Formula). Influence of Sample Shape on FMR Frequencies. Uniform Precession. Forced Magnetization Oscillations. High-Frequency Magnetic Susceptibility Tensor. Gyrotropy. Influence of Magnetic Anisotropy on FMR Frequencies (for a Cubic Ferromagnet). "Natural Ferromagnetic Resonance". Influence of Damping on FMR. Landau-Lifshitz Equation with Dissipation. FMR Line Width. Real and Imaginary Parts of Magnetic Susceptibility. Dissipation Processes.
- Antiferromagnetic Resonance (AFMR). Equations of Motion for Sublattice Magnetizations. AFMR Frequencies. Two Oscillation Branches (for a Two-Sublattice Antiferromagnet). Resonance in Zero Field. Determination of the Critical Field for the Spin-Flop Transition. Precession Angles of Antiferromagnetic Sublattices. AFMR of Rare-Earth Weak Ferromagnets in the Submillimeter Frequency Range.
- Ferrimagnetic Resonance. Equations of Motion for Ferrimagnetic Sublattice Magnetizations. Ferromagnetic and Exchange Resonance Modes. Precession Angles of Ferrimagnetic Sublattice Magnetizations. Influence of Anisotropy on Ferrimagnetic Resonance Frequencies.
- Spin Waves in Ferromagnets. Quadratic Dispersion Law. Spin Wave Spectrum Gap.
- Magneto-Optical Effects in Magnetically Ordered Substances (Faraday, Cotton-Mouton, Kerr Effects).
Careers
Graduates from related fields at Moscow State University are highly competitive in the job market, particularly in areas utilizing computational techniques. They find employment in various sectors including academic and research institutions, government bodies, finance, consulting, and both Russian and international companies. A significant portion of graduates pursue further studies in postgraduate programs (aspirantura).
- Researcher
- Academic
- Specialist in computational techniques
- Analyst
Frequently asked questions
- What is this special course about?
- This specialized course focuses on the dynamic properties of magnetic materials, covering fundamental concepts of magnetic resonance, phenomena like cyclotron resonance and EPR, and advanced topics such as muon spin resonance and spin waves.
- Who is this course designed for?
- This course is designed for 5th-year students who have completed a relevant undergraduate program, typically equivalent to 4 years of study, and possess a strong foundation in physics and mathematics.
- What topics are covered in the curriculum?
- The curriculum includes magnetic resonance, magnetic resonance in substances without magnetic order, cyclotron resonance, electron paramagnetic resonance (EPR), acoustic paramagnetic resonance, muon spin resonance, magnetically ordered substances in alternating magnetic fields, ferromagnetic, antiferromagnetic, and ferrimagnetic resonance, spin waves in ferromagnets, and magneto-optical effects.
- What are the career prospects for graduates?
- Graduates from related fields at Moscow State University are competitive in the job market, finding roles as researchers, academics, specialists in computational techniques, and analysts in various sectors. Many also pursue further postgraduate studies.
- How do I apply for this course?
- Information on how to apply for this specific course is not provided. Prospective students should consult the official Moscow State University admission pages for general admission details.
- What are the tuition fees for this course?
- Fee information is not available for this specific course or for international students in general from the provided text.
Entry requirements
Undergraduate DegreeCompletion of a relevant undergraduate program is required, typically equivalent to 4 years of study.
Current StudentThis course is intended for 5th-year students.
Specific academic requirements are not detailed, but a strong foundation in physics and mathematics is assumed given the course content.
Fees
Tuition (international)—
Tuition (home)—
Living—
Fee information is not available for this specific course or international students in general from the provided text.
Frequently asked questions
What is this special course about?
+
This specialized course focuses on the dynamic properties of magnetic materials, covering fundamental concepts of magnetic resonance, phenomena like cyclotron resonance and EPR, and advanced topics such as muon spin resonance and spin waves.
Who is this course designed for?
+
This course is designed for 5th-year students who have completed a relevant undergraduate program, typically equivalent to 4 years of study, and possess a strong foundation in physics and mathematics.
What topics are covered in the curriculum?
+
The curriculum includes magnetic resonance, magnetic resonance in substances without magnetic order, cyclotron resonance, electron paramagnetic resonance (EPR), acoustic paramagnetic resonance, muon spin resonance, magnetically ordered substances in alternating magnetic fields, ferromagnetic, antiferromagnetic, and ferrimagnetic resonance, spin waves in ferromagnets, and magneto-optical effects.
What are the career prospects for graduates?
+
Graduates from related fields at Moscow State University are competitive in the job market, finding roles as researchers, academics, specialists in computational techniques, and analysts in various sectors. Many also pursue further postgraduate studies.
How do I apply for this course?
+
Information on how to apply for this specific course is not provided. Prospective students should consult the official Moscow State University admission pages for general admission details.
What are the tuition fees for this course?
+
Fee information is not available for this specific course or for international students in general from the provided text.