After completing the course, students will be able to: 1. Understand what a PV and PVT Equation of State (EoS) is, what it describes, and the meaning of its parameters. 2. Interpret the significance of uncertainties in both data and parameters. 3.Grasp the principles of least-squares fitting applied to various types of data. 4. Critically analyse PV data and determine EoS parameters through data fitting. 5. Measure inclusion pressures using Raman spectroscopy. 6. Understand host-inclusion elasticity and calculate entrapment conditions based on measurements of inclusion pressure (Pinc)
Course Prerequisites
Students are expected to have a basic understanding of mathematics, physics, and chemistry, as well as introductory knowledge of mineralogy and petrology. More advanced concepts will be introduced and developed during the lectures.
Teaching Methods
24 hours of frontal lectures (theory) and 36 hours of laboratory sessions, including practical exercises using thermodynamic software (EoS-Fit), Raman spectral fitting, and a visit to the mineral physics laboratory.
Assessment Methods
Homework and question sheets will be provided regularly to assess students’ understanding of the main concepts discussed in class. For the final examination, students will be required to solve three exercises covering the core topics of the course, including theoretical questions and practical applications.
Texts
All necessary study materials will be distributed during the lectures.
Contents
Course Outline 1. Introduction – Concepts of Pressure, Temperature, and Thermal Pressure 2. Plastic and Elastic Deformation 3. Experimental Methods for Measuring EoS, PV, and Elasticity Data 4. PV Equation of State (EoS): Theory and Fitting 5. Analysis of Uncertainties 6. Correlation and Least-Squares Theory 7. Confidence Ellipses and Interpretation of Uncertainties 8. When EoS Fail: Identifying Problems in Data 9. Volume Thermal Expansion 10. Thermal Pressure and Phonons: Single-Phonon Models 11. Host-Inclusion Systems with Elastic Relaxation 12. Introduction to Raman Spectroscopy and Its Application in Elastic Geobarometry
