PHYSICAL CHEMISTRY OF MATERIALS

This course is one of the main educational activities specific to the curricula "MATERIALS" of the SUSTAINABLE CHEMICAL AND TECHNOLOGICAL degree program.
This course gives the an introduction to quantum mechanics that is necessary to deal with topics typical of modern physical chemistry and material science. The knowledge of this discipline is necessary to face the modern material science, to understand the key themes of nanotechnologies and the properties of nanostructured materials and in general for any chemical degree program. The course introduces, following the historical development of the discipline, the first notions of quantum mechanics e and provides the basic basic tools to deal with the topics of modern Physical Chemistry. In particular, within the curricula MATERIALS, quantum theory provides the conceptual structure where to incardinate the study of the electrical properties of materials and provides the right theoretical foundation to techniques of spectroscopic analysis that the students have already begun to use in the laboratory.

1) Knowledge and understanding:
i) To know the experimental bases that have historically led to the need of the new physical theory.
ii) To know the basic concepts of quantum theory such as wave particle duality, wave function, quantum numbers and operators.
iii) To know the "classical" interpretation (Copenhagen interpretation) of quantum theory

2) Ability to apply knowledge and understanding
i) Knowing how to use the basic mathematical formalism of MQ.
ii) Knowing how to apply the Schrödinger equation in the case of simple potentials.

3) Ability to judge
i) Understand the implications linked to the concept of observable in classical physics and in MQ.
ii) To know and contextualize the main differences between Classical Mechanics and Quantum Mechanics

4) Communication Skills
i) Knowing how to communicate the nature of the new theory with an appropriate and scientifically correct language.
ii) Knowing how to justify the application of formalisms also from the mathematical point of view.
iii) Knowing how to interact with the teacher and the classmates by formulating coherent questions

5) Learning Ability
i) Knowing how to take notes also identifying eventual errors or inconsistencies during the lesson (sign errors, copying errors or not appropriately justified formalism changes)
ii) Knowing how to select information based on its relevance.
ii) Knowing how to connect knowledge independently within the course with knowledge deriving from other courses.




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Having achieved the training objectives of the mathematics courses (I and II) and of general physics (I and II). The student must know the main tools of differential and integral calculus and be able to solve simple differential equations. In addition, students must know the algebra of complex numbers. In any case, a brief review of the main mathematical and physical topics will be performed before using a formalism.

In line with the training objectives and the expected learning outcomes, the contents of the course are divided as follows:
Introduction: Description of course contents, exam methods and bibliography.
Introduction to the complex numbers algebra and their representations on the Argand-Gauss plane
The experiments that historically led to the need of new mechanics:
Waves' particle properties
- Young experiment
- Back body radiation
- photoelectric effect
- Compton effect
Particles' wave properties
- De Broglie waves
- phase and group velocity
- Heisenberg indetermination principle
Quantum mechanics
- Schrödinger's equation, expected values
- time-independent Schrödinger's equation, eigenfunctions' properties
- Zero potential, squared and well potential, finite and infinite, tunnel effect,
Quantum harmonic oscillator
Hermitian operators: Eigenvalues and Eigenfuntions
Theory of angular momentum.
electron spin
The Hydrogen atom and atomic orbitals.

Quantum Physics di Robert Eisberg, Robert Resnick Wiley
Introduction to Quantum Mechanics in chemestry, materials science and biology. M Blinder Elsevier Academic Press.
Quantum Physics of atoms, molecules, solids,nuclei and particles: Eisberg Resnick Wiley

The assessment of learning takes place through an oral test in which the student must respond by demonstrating knowledge of the topics treated in the course. Students will be asked to illustrate, using the correct mathematical formalisms and appropriate linguistic properties, some of the topics studied. They will have to demonstrate that they understand both the formal aspect (use of the calculation techniques learned during the course) and the physical interpretation of the new mathematical formalism.

The oral exam will last between 30-45 minutes and the evaluation will take into account the knowledge of the topics dealt with attention to the following aspects:
- Correct setting of the problem, use of the mathematical formalism and knowledge of its physical interpretation.
-The exposure capacity (clarity, linearity and language properties)



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Teaching is organized in frontal lessons. The course will include numerical exercises and some laboratory demonstrations. The discussion is stimulated not only on the more technical aspects of the subject but also on the technological applications of the materials.

Italian

Accommodation and support services for students with disabilities and students with specific learning impairments: Ca’ Foscari abides by Italian Law (Law 17/1999; Law 170/2010) regarding support services and accommodation available to students with disabilities. This includes students with mobility, visual, hearing and other disabilities (Law 17/1999), and specific learning impairments (Law 170/2010). In the case of disability or impairment that requires accommodations (i.e., alternate testing, readers, note takers or interpreters) please contact the Disability and
Accessibility Offices in Student Services: disabilita@unive.it

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