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. To learn the algebra of angular momentum with their verification and coupling effect.
• To learn about the spectrum of many electron atoms system through the quantum
theory.
• To know about splitting of spectral lines of atom in the presence of electric and
magnetic field and study the fine structure of atoms.
CO1 | Recall the key concepts of Rutherford Scattering and Bohr's Correspondence Principle.
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CO2 | Understand the Bohr-Sommerfeld theory of the Hydrogen atom and Sommerfeld’s Relativistic Correction in atomic structure. Grasp the vector model of the atom and the concept of orbital angular momentum.Understand Pauli’s Exclusion Principle and its implications on identical particles. |
CO3 | Apply the principles of angular momentum algebra to solve problems related to electron motion in atoms.Apply Schrodinger’s theory to analyze the structure and spectrum of multi-electron atoms, particularly focusing on the Central Field Approximation.Apply knowledge of electronic, rotational, and vibrational spectra to interpret various spectroscopic techniques.
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CO4 | Analyze experimental results such as Stern-Gerlach Experiment to understand electron spin and space quantization.Analyze the Zeeman Effect, Paschen-Back Effect, and Stark Effects in the context of atomic spectra.Analyze the Raman effect and X-ray spectra, understanding their applications in material science and structural analysis.
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CO5 | Evaluate the fine and hyperfine structure of spectral lines, understanding their significance in atomic spectroscopy.Evaluate the principles and applications of EPR, NMR, and ESR spectroscopy in modern research and technology.Create theoretical models to explain selection rules governing different types of molecular spectra.
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Upon successful completion of this course, students will be able to:
• Know the reason behind the different spectra through Raman spectroscopy.
• To solve problems using their knowledge and skills in atomic and molecular level.
Module-I
Rutherford Scattering, Bohr Sommerfeld theory of H-atom, Bohr's Correspondence principle,
sommerfeld’s Relativistic Correction.
Module-II
Vector model of atom, Orbital angular momentum of the electron, Angular momentum
Algebra, Space quantization, Stern-Gerlach Experiment, Electron Spin, L-S coupling, J-J
coupling.
Module-III
Identical Particles: Pauli’s Exclusion Principle. Helium atom and its spectrum. Multi-electron
atoms in Schrodinger’s theory : Central Field Approximation: Hartree’s Self-consistent field.
Module-IV
Zeeman Effect and Paschen-Back Effect. The Stark effects. Fine and Hyperfine Structure of
Spectral line. Electron spin resonance.
Module-V
Nuclear magnetic resonance, chemical shift. Frank-Condon principle. Born-Oppenheimer
approximation.
Module-VI
Electronic, rotational, vibrational Spectra. Pure Rotational Spectra, Vibrational-Rotational
Spectra and Raman spectra of diatomic molecules, selection rules.
Module-VII
Raman effect; EPR, NMR, ESR, X-ray spectra.
Text Book:
1. Atomic and molecular spectra: Laser by Raj Kumar
2. Physics of Atoms and Molecules" by Bransden and Joachain.
Reference Books:
1. Basic atomic and molecular physics by Kaushal saxena.
2. Lasers - Theory and Applications" by K. Thyagrajan and A K Ghatak.
3. Fundamental of Molecular Spectroscopy– Colin N. Banwell & Elaine M. McCash.
Session-3
Bohr's Correspondence principle,
https://www.youtube.com/watch?v=IMLqTwSbb2A
sommerfeld’s Relativistic Correction.
Session-5
Orbital angular momentum of the electron, Angular momentum
Algebra
Session-8
Identical Particles: Pauli’s Exclusion Principle
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