Course code (Credit): CUNT2472 (3-1-0)
Group theory and Spectroscopy
Teacher
Dr. Ashish Kumar Sahoo
Category
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Course objective
- To impart knowledge pertaining to group theory and their application
- Understanding the concept the spectroscopy and its application.
- Getting sound knowledge on predicting the spectroscopic data from knowledge of group theory.
Course Outcomes
| COs | Course outcomes | Mapping COs with POs (High-3, Medium-2, Low-1) |
| CO1 | Able to predict the symmetry and point group of elements | PO1 (3) |
| CO2 | The course will introduce expertise in students in predicting various spectra of molecules. | PO2 (3). PO4 (2) |
| CO4 | They will gain problem solving skills in the field of inorganic spectra applicable in research and industry | PO4 (3) |
Module I:
Introduction to symmetry, symmetry in nature, elements of symmetry, identity, axis of symmetry, plane of symmetry, point of symmetry, identity operation, symmetry operations, abelian group, non-abelian group, generator, axial point group, non-axial point group, identification of molecular point groups. (4 hours)
Module II:
Representation of symmetry, matrix methods in symmetry, groups. Molecules of low symmetry, molecules of high symmetry, molecules of special symmetry, group multiplication table, isomorphic groups, group generating elements, subgroups, matrix representation of symmetry elements, matrix representation of point groups. (5 hours)
Module III: Character table, Great Orthogonality theorem. Reducible and irreducible representations, character of a representation, properties of irreducible representations, construction of character table, character table for C2V point group, structure of character tables, the standard reduction formula. (4 hours)
Practice:
- Creating the charactertable for simple molecules.
Module IV:
The rotation of molecules, rotational spectra, diatomic molecules, chemical analysis by microwave spectroscopy, the vibrating diatomic molecule, the diatomic vibrating-rotator, the vibration-rotation spectrum of carbon monoxide, breakdown of Born-Oppenheimer approximation. (4 hours)
Module VI.
Electronic spectroscopy of atoms, electron spectroscopy of molecules, spin and an applied field, nuclear magnetic resonance: Hydrogen nuclei, techniques and instrumentation, electron spin resonance spectroscopy. (4 hours)
Practice:
- Structural elucidation of molecules by UV-VIS and IR spectroscopy.
- Verification of Beer-Lambert’s law by UV-VIS spectroscopy
- Determination of concentration of supplied sample colorimetrically.
- Determination of the structure of compound from NMR spectroscopy data.
Module VII Polymer chemistry: Molar masses; kinetics of polymerization.Molar mass determination based on colligative properties, molar mass distribution curve, polydispersity index, viscosity-molar mass relationship, functionality and principles of polymerization, different polymerization technique, kinetic chain length, gelation, branching, and crosslinking. (5 hours)
Practice:
- Synthesis of polyacrylonitrile from acrylonitrile.
- Synthesis of chitosan bases ZnO/silver-polymer nanocomposite
- Determination of the molecular mass of a given polymer.
Books of Reference
- Application of Group Theory by F. A. Cotton
- Group Theory, by Allan Vincent
Session Plan
Session 1:
Introduction to symmetry, symmetry in nature, elements of symmetry, identity, axis of symmetry, plane of symmetry, point of symmetry, identity operation,
https://www.youtube.com/watch?v=kgLYwxhceKM
Session 2:
symmetry operations, abelian group, non-abelian group
https://www.youtube.com/watch?v=vAEK1d6KFog&pp=ygUNYWJlbGlhbiBncm91cA%3D%3D
Session 3:
generator, axial point group, non-axial point group.
https://www.youtube.com/watch?v=vrecDZc3lKM&pp=ygUgYXhpYWwgYW5kIG5vbiBheGlhbCBwb2ludCBncm91cHM%3D
Session 4:
Identification of Molecular Point Groups
https://www.youtube.com/watch?v=vrecDZc3lKM&pp=ygUgYXhpYWwgYW5kIG5vbiBheGlhbCBwb2ludCBncm91cHM%3D
Session 5:
Representation of symmetry, matrix methods in symmetry, groups.
Session 6:
Molecules of low symmetry, molecules of high symmetry,
https://www.youtube.com/watch?v=kgLYwxhceKM&pp=ygUIc3ltbWV0cnk%3D
Session 7:
molecules of special symmetry,
https://www.youtube.com/watch?v=Yff0rJYS0Lo&pp=ygUebW9sZWN1bGVzIG9mIHNwZWNpYWwgc3ltbWV0cnkg
Session 8:
group multiplication table, isomorphic groups, group generating elements,
https://www.youtube.com/watch?v=CO-YvOxzK04
Session 9:
subgroups, matrix representation of symmetry elements,
Session 10:
matrix representation of point groups.
Session 11:
Character table, Great Orthogonality theorem.
https://www.youtube.com/watch?v=c8pO-ASdHQ8&pp=ygUPY2hhcmFjdGVyIHRhYmxl
Session 12:
Reducible and irreducible representations, character of a representation, properties of irreducible representations
https://www.youtube.com/watch?v=c8pO-ASdHQ8&pp=ygUPY2hhcmFjdGVyIHRhYmxl
Session 13:
construction of character table, character table for C2V point group,
https://www.youtube.com/watch?v=c8pO-ASdHQ8&pp=ygUPY2hhcmFjdGVyIHRhYmxl
Session 14:
structure of character tables, the standard reduction formula.
https://www.youtube.com/watch?v=DgLmVQ14TZ0&pp=ygUdU3RydWN0dXJlIG9mIGNoYXJhY3RlciB0YWJsZXM%3D
Session 15:
Practice 1: Creating the charactertable for simple molecules.
Session 16:
The rotation of molecules, rotational spectra
https://www.youtube.com/watch?v=isAKH1VcUF0&pp=ygUScm90YXRpb25hbCBzcGVjdHJh
Session 17:
rotational spectra details
https://www.youtube.com/watch?v=gylICgliSgQ&pp=ygUScm90YXRpb25hbCBzcGVjdHJh
Session 18:
diatomic molecules, chemical analysis by microwave spectroscopy
https://www.youtube.com/watch?v=w3NGKOMgVAk
Session 19:
the vibrating diatomic molecule
https://www.youtube.com/watch?v=g6r9bsAOOho&pp=ygUfdGhlIHZpYnJhdGluZyBkaWF0b21pYyBtb2xlY3VsZQ%3D%3D
Session 20: the diatomic vibrating-rotator, the vibration-rotation spectrum of carbon monoxide
https://www.youtube.com/watch?v=IWSZ6wnJ7TU&pp=ygUPdmlicmF0aW5nIHJvdG9y
Session 21: breakdown of Born-Oppenheimer approximation.
Session 22:Electronic spectroscopy of atoms
https://www.youtube.com/watch?v=clnkEFrYF2Y&pp=ygUgZWxlY3Ryb25pYyBzcGVjdHJvc2NvcHkgb2YgYXRvbXM%3D
Session 23:
Electron spectroscopy of molecules, spin and an applied field
https://www.youtube.com/watch?v=BZ7_GhnENdY&pp=ygUgZWxlY3Ryb25pYyBzcGVjdHJvc2NvcHkgb2YgYXRvbXM%3D
Session 24: nuclear magnetic resonance: Hydrogen nuclei,
https://www.youtube.com/watch?v=-3A8yLkVZZo&list=PLQVGcyFvFGFOWIWOz9Dn39h9SKhlNH4C5
Session 25: techniques and instrumentation
https://www.youtube.com/watch?v=ywR6aLpfjl0&pp=ygUTbm1yIGluc3RydW1lbnRhdGlvbg%3D%3D
Session 26: electron spin resonance spectroscopy.
Session 27:
Practice 2: Structural elucidation of molecules by UV-VIS and IR spectroscopy.
Session 28:
Practice 3: Verification of Beer-Lambert’s law by UV-VIS spectroscopy
Session 29:
Practice 4: Determination of concentration of supplied sample colorimetrically.
Session 30:
Practice 5: Determination of the structure of compound from NMR spectroscopy data.
Session 31:
Introduction to polymer chemistry
https://www.youtube.com/watch?v=4lKVZpJI0Oo&pp=ygUhSW50cm9kdWN0aW9uIHRvIHBvbHltZXIgY2hlbWlzdHJ5
Session 32:
Molar masses; kinetics of polymerization
https://www.youtube.com/watch?v=sUn66azEZgA&pp=ygUaa2luZXRpY3Mgb2YgcG9seW1lcml6YXRpb24%3D
Session 33:
Molar mass determination based on colligative properties,
https://www.youtube.com/watch?v=x9p_LaaF-X8&pp=ygUkTW9sYXIgbWFzcyBkZXRlcm1pbmF0aW9uIG9mIHBvbHltZXJz
Session 34:
molar mass distribution curve, polydispersity index
https://www.youtube.com/watch?v=7mevRtK9MjY&pp=ygUUcG9seWRpc3BlcnNpdHkgaW5kZXg%3D
Session 35:
viscosity-molar mass relationship, functionality and principles of polymerization
Session 36:
different polymerization technique,
Session 37:
kinetic chain length, gelation, branching, and crosslinking
Session 38:
Practice 6: Synthesis of polyacrylonitrile from acrylonitrile.
Session 39:
Practice 7: Synthesis of chitosan bases ZnO/silver-polymer nanocomposite
Session 40:
Practice 8: Determination of the molecular mass of a given polymer.
Our Main Teachers
Dr. Ashish Kumar Sahoo has 3 years of teaching experience in undergraduate as well as postgraduate level. His areas of interest are in Advanced Physical Chemistry and Material Chemistry. Dr. Sahoo has a number of international publications. His research interest semiconducting materials in both pure as well as interstitially dopped and making use of simple […]