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5.80 Small-Molecule Spectroscopy and Dynamics (MIT) 5.80 Small-Molecule Spectroscopy and Dynamics (MIT)

Description

The goal of this course is to illustrate the spectroscopy of small molecules in the gas phase: quantum mechanical effective Hamiltonian models for rotational, vibrational, and electronic structure; transition selection rules and relative intensities; diagnostic patterns and experimental methods for the assignment of non-textbook spectra; breakdown of the Born-Oppenheimer approximation (spectroscopic perturbations); the stationary phase approximation; nondegenerate and quasidegenerate perturbation theory (van Vleck transformation); qualitative molecular orbital theory (Walsh diagrams); the notation of atomic and molecular spectroscopy. The goal of this course is to illustrate the spectroscopy of small molecules in the gas phase: quantum mechanical effective Hamiltonian models for rotational, vibrational, and electronic structure; transition selection rules and relative intensities; diagnostic patterns and experimental methods for the assignment of non-textbook spectra; breakdown of the Born-Oppenheimer approximation (spectroscopic perturbations); the stationary phase approximation; nondegenerate and quasidegenerate perturbation theory (van Vleck transformation); qualitative molecular orbital theory (Walsh diagrams); the notation of atomic and molecular spectroscopy.

Subjects

spectroscopy | spectroscopy | harmonic oscillators | harmonic oscillators | matrix | matrix | hamiltonian | hamiltonian | heisenberg | heisenberg | vibrating rotor | vibrating rotor | Born-Oppenheimer | Born-Oppenheimer | diatomics | diatomics | laser schemes | laser schemes | angular momentum | angular momentum | hund's cases | hund's cases | energy levels | energy levels | second-order effects | second-order effects | perturbations | perturbations | Wigner-Eckart | Wigner-Eckart | Rydberg-Klein-Rees | Rydberg-Klein-Rees | rigid rotor | rigid rotor | asymmetric rotor | asymmetric rotor | vibronic coupling | vibronic coupling | wavepackets | wavepackets

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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5.73 Introductory Quantum Mechanics I (MIT) 5.73 Introductory Quantum Mechanics I (MIT)

Description

5.73 covers fundamental concepts of quantum mechanics: wave properties, uncertainty principles, Schrödinger equation, and operator and matrix methods. Basic applications of the following are discussed: one-dimensional potentials (harmonic oscillator), three-dimensional centrosymmetric potentials (hydrogen atom), and angular momentum and spin. The course also examines approximation methods: variational principle and perturbation theory. 5.73 covers fundamental concepts of quantum mechanics: wave properties, uncertainty principles, Schrödinger equation, and operator and matrix methods. Basic applications of the following are discussed: one-dimensional potentials (harmonic oscillator), three-dimensional centrosymmetric potentials (hydrogen atom), and angular momentum and spin. The course also examines approximation methods: variational principle and perturbation theory.

Subjects

quantum mechanics | quantum mechanics | NMR | NMR | kinetic isotope effects | kinetic isotope effects | hilbert space | hilbert space | eigenvalues | eigenvalues | particle in a box | particle in a box | harmonic oscillator | harmonic oscillator | perturbation theory | perturbation theory | angular momentum | angular momentum | Wigner-Eckart theorem | Wigner-Eckart theorem | hydrogen atom | hydrogen atom | spin-orbit interaction | spin-orbit interaction | Born Oppenheimer approximation | Born Oppenheimer approximation | Hartree-Fock | Hartree-Fock | Slater-Condon rules | Slater-Condon rules

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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5.80 Small-Molecule Spectroscopy and Dynamics (MIT)

Description

The goal of this course is to illustrate the spectroscopy of small molecules in the gas phase: quantum mechanical effective Hamiltonian models for rotational, vibrational, and electronic structure; transition selection rules and relative intensities; diagnostic patterns and experimental methods for the assignment of non-textbook spectra; breakdown of the Born-Oppenheimer approximation (spectroscopic perturbations); the stationary phase approximation; nondegenerate and quasidegenerate perturbation theory (van Vleck transformation); qualitative molecular orbital theory (Walsh diagrams); the notation of atomic and molecular spectroscopy.

Subjects

spectroscopy | harmonic oscillators | matrix | hamiltonian | heisenberg | vibrating rotor | Born-Oppenheimer | diatomics | laser schemes | angular momentum | hund's cases | energy levels | second-order effects | perturbations | Wigner-Eckart | Rydberg-Klein-Rees | rigid rotor | asymmetric rotor | vibronic coupling | wavepackets

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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5.73 Introductory Quantum Mechanics I (MIT)

Description

5.73 covers fundamental concepts of quantum mechanics: wave properties, uncertainty principles, SchrŲdinger equation, and operator and matrix methods. Basic applications of the following are discussed: one-dimensional potentials (harmonic oscillator), three-dimensional centrosymmetric potentials (hydrogen atom), and angular momentum and spin. The course also examines approximation methods: variational principle and perturbation theory.

Subjects

quantum mechanics | NMR | kinetic isotope effects | hilbert space | eigenvalues | particle in a box | harmonic oscillator | perturbation theory | angular momentum | Wigner-Eckart theorem | hydrogen atom | spin-orbit interaction | Born Oppenheimer approximation | Hartree-Fock | Slater-Condon rules

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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