Basic Mathematics
Differentiation and integration, different methods of evaluating integrals, multi-dimensional integrals, numerical integration. Vectors- gradient, divergence and curl and their physical significance. Matrices- eigenvalues and eigenvectors. Complex variables, Cauchy-Reimann conditions, Cauchy's theorem, Cauchy's integral formula. Differential equations, differential equations of quantum chemistry and chemical kinetics, numerical solutions of differential equations. The Dirac delta function, the gamma and the error function. Function spaces, orthonormal functions, Fourier series, Fourier and Laplace transforms, Fast Fourier transforms.
Other Instructor: Dr. H.S. Atreya
Other Instructor: Dr. H.S. Atreya
CD 301 3:0 January Session
Two-dimensional NMR Spectroscopy
Basic principles of two-dimensional (2D) NMR spectroscopy, 2D line shapes phases and filtering. Resolved 2D spectroscopy Correlated 2D experiments (COSY, TOCSY, etc.) involving homo-nuclear and heteronuclear correlations. 2D multiple-quantum spectroscopy 2D relaxation experiments (NOESY, ROESY). Multinuclear 2D and 3D experiments such as HSQC, HMQC, HNCA and HNCA (CO) etc. Introduction to coherence level diagram, product operator formalism, phase cycling and gradient-enhanced spectroscopy. Two-dimensional NMR of solids. NMR imaging. Applications of two and three-dimensional NMR experiments for structure determination of large molecules.
Other Instructor: Dr. S. Raghothama
Other Instructor: Dr. S. Raghothama