Individual course details
Study programme General Physics, Applied and Computer Physics
Chosen research area (module) all Modules
Nature and level of studies Undergraduate Studies
Name of the course Physics of atoms and molecules
Professor (lectures) Vladimir Milosavljević
Professor/associate (examples/practical) Vladimir Milosavljević
Professor/associate (additional) Vladimir Milosavljević
ECTS 8 Status (required/elective) core
Access requirements pass a General Physic (Mechanics, Thermodynamics, Electromagnetism & Optics) exams
Aims of the course The course is aimed to emphasis advantages of Modern Physics over a classical physics. The student/s should be able to employ knowledge of Atomic and Molecular Physics to explain the structure of matter. The course gives an overview of atom and molecular structures, e.g. energy levels and lifetimes. It provides a comprehensive link between atomic and molecular physics, and quantum mechanics, with emphasis on the importance of an electron energy in the modification of an atomic and molecular structure. This course presents main application of atomic and molecular physics:  a process of optical amplification based on the stimulated emission of electromagnetic radiation (Laser), electron microscope, CCD, TV and PC.
Learning outcomes 1. Explain the importance of modern Physics in understanding matter and light.
2. Understand the general principles of atomic and  molecular physics
3. Carry out experimental and theoretical studies on atoms and molecules, with focus on the structure and dynamics of atoms and molecules
4. Account for theoretical models, terminology and working methods used in atomic and molecular physics
5. Handle relevant experimental equipment and evaluate the experimental results obtained
6. Develop graduate attributes appropriate to their programme of study by participating effectively in group work, problem solving and peer teaching through participation in class activities, workshop practical sessions and in online environments.
7. Apply advanced numerical and data manipulation skills, appropriate to their programme of study with theoretical concepts.
Contents of the course
Lectures Motion of a charged particle in an electrical and magnetic fields. The Millikan’s experiment. A black body radiation and the Planck hypothesis. The photoelectric effect. The photocells and photomultipliers. The radiation pressure. The Compton Effect. The J.J. Thomson’s atomic model. The Rutherford’s experiment and atomic model. The Bohr’s atomic model. Hydrogen spectral series and Balmer formula. The Franck-Hertz experiment. An elliptical trajectories for the one-electron system. Space quantization. The Bohr magneton. The Stern–Gerlach experiment. X (Röntgen)-rays, spectral analysis. X-rays, energy levels (Auger electrons). X-rays, Max von Laue experiment. X-rays, penetration depth. Spectral lines intensity and shape. Spectra of alkali atoms. Electron spin. Electron shells population – the Pauli Exclusion Principle. The periodic table of elements. Spectra of Many-Electron Systems. Spectrum of helium. The fine structure of Balmer Hα line. The Lamb-Retherford experiment. The normal Zeeman Effect. The anomalous Zeeman Effect. Stimulated emission of radiation – Laser effect (Einstein coefficients). Stimulated emission of radiation – Laser effect (atomic model with two and three energy levels). Helium-Neon laser. DeBroglie hypothesis: Wave–particle duality. The Davisson–Germer experiment. The Heisenberg uncertainty principle. Molecules – electronegativity. Molecules – formation of ions. Molecules – covalent bonding. Molecules – quantum numbers. Molecules – valence. Nitrogen molecule. Oxygen molecule. Molecular symmetry – the additional selection rules. The Shapes of Molecules: LiH & BeH2. The Shapes of Molecules: BH3. The Shapes of Molecules: sp3 hybridization. The Shapes of Molecules: CH4 , NH3 & H2O. Molecular mirror symmetry. Molecular structure – role of C, N & O atoms. The delocalized molecular orbitals. The ring molecular orbitals. Metallic bonding. Molecular Spectra - Rotational spectroscopy. Molecular Spectra – Vibrational spectroscopy. Molecular Spectra – Rotational–vibrational spectroscopy. Molecular Spectra – vibrational-rotational-electronic spectroscopy. Molecular dissociation - The Franck–Condon principle. Molecular Spectra – Raman spectroscopy. Intermolecular interactions – Van der Waals interaction. Intermolecular interactions – Dipole-Dipole interactions. Intermolecular interactions – hydrogen bonding.
Examples/ practical classes In-class problem solving. Laboratory sections: Millikan's experiment;  Determining Specific Charge of Electron; Experimental determination of Rydberg's constant; Photoelectric effect - Planck constant; Absorption spectroscopy; The Franck-Hertz Experiment; The Ramsauer–Townsend effect; Emission Spectroscopy
Recommended books
1 S.Djeniže   Osnovi atomske kvantne i molekulske fizike, Nauka, Beograd,1995
2 D. Belić, Molekulska fizika, Beograd 2001
3 E. Špoljskij  Atomska fizika I, Naučna knjiga, Beograd, 1964
4 J. Purić i S. Djeniže Zbirka rešenih zadataka iz atomske fizike, Naučna knjiga, Beograd, 1978
5 D. Filipović i S. Kalezić Praktikum atomske fizike, Fizički fakultet Univerziteta u Beogradu, 2007
Number of classes (weekly)
Lectures Examples&practicals   Student project Additional
4 2 2    
Teaching and learning methods This course will be delivered via a blend of interactive classes, and associated and aligned laboratory sections and tutorials. Lectures will include: the theoretical framework introduces, examples of the theory’s applications and written homeworks.
Assessment (maximal 100)
assesed coursework mark examination mark
coursework 10 written examination 20
practicals 15 oral examination 30
papers 15    
presentations 10