Chemical Sciences

SERGIO BRUTTI

1) Knowledge and ability to understand
The aim of the course is to acquire the basic physical chemistry knowledge about the structure of atomic and molecular systems that is a prerequisites for the understanding of complex chemical systems and spectroscopic techniques. The knowledge acquired during the course is represented by basic quantum mechanics and its application in chemistry.
2) Applied Knowledge and understanding skills
Through the teaching of the elements of quantum mechanics as applied to molecular systems, the course provides students with the conceptual tools to understand how, starting from the behavior of the basic constituents of matter (nuclei and electrons), the language of modern chemistry emerges in terms of atoms, chemical bonds, molecules, aggregates and substances.
3) Autonomy of Judgment
There are several (in class) sessions of exercises aimed at the development of students' critical abilities towards the practical implications of the theory.
4) Communication Skills
The course, apart from the final oral evaluation, includes 2 intermediate self-evaluation tests that allow students to express what they have learned.
5) Learning Ability
The skills acquired are needed to understand how the complex language of modern chemistry, even in its endeless variations, derives from rigorous physical principles.

Quantum nature of atomic and molecular systems. Physico-chemical models applied to simple and complex systems

Basic Math: derivatives, integrals and differential equations. Basic physics.

1. Quantum phenomenology
2. Schroedinger equation
3. Principles of QM and postulates
4. Dirac's notation
5. Harmonic Oscillator
6. Angular momentum
7. Spin
8. H atom
9. He atom and the variational method
10. Many-electrons atoms: Hartree-Fock
11. Molecular systems
12. Statistical mechanics

Lecture notes provided by the teacher. See "elearning" website.

Peter William Atkins, Julio de Paula, James Keeler: "Chimica Fisica" (Zanichelli). Chapters 7,8,9 and 13

N/A

Teaching lessons in class

attending in class

The exam is consituted by a written test and an interview.
Only students that pass the written test with a mark >15 can be interveiwed

Students can voluntary participate to the intermediate test procedure ITP (6 tests along the semester)
The ITP is passed with a mark >18
Intervew compulsory for the students that pass the ITP with mark >25
Intervew mandatory for the students that pass the ITP with mark <25

On request

• Fenomenologia dei sistemi quantistici: Il problema del corpo nero e i modelli discreti dell’atomo, esperimento delle fenditure, lunghezza d’onda di De Broglie


• L’equazione di Schrödinger: derivazione, il significato della funzione d’onda


• La struttura formale della MQ: operatori ed osservabili, autovalori ed autofunzioni, degenerazione. I Principi della Meccanica Quantistica: operatori hermitiani, sovrapposizione, valori medi, processi di misura, indeterminazione e incompatibilità, la dipendenza dal tempo, costanti del moto e leggi di conservazione.I postulati della MQ


• La Notazione di Dirac


• Il moto lineare: particella libera, particella confinata


• Oscillatore armonico quantistico


• Rotatore rigido quantistico


• Atomo di idrogeno


• Atomo di elio e atomi polielettronici


• Spin


• Molecole biatomiche 


• Termodinamica statistica