┌──────────────────────────────┐ │ Molecular Electronic Theory │ └──────────────┬───────────────┘ │ ┌───────────────────────────┴───────────────────────────┐ ▼ ▼ ┌─────────────────────────────────┐ ┌─────────────────────────────────┐ │ Valence Bond Theory │ │ Molecular Orbital Theory │ ├─────────────────────────────────┤ ├─────────────────────────────────┤ │ • Electrons remain localized │ │ • Electrons delocalized over │ │ between specific atom pairs │ │ the entire molecule │ │ • Uses hybrid orbitals │ │ • Uses LCAO approximation │ │ (e.g., sp³, sp²) │ │ (bonding & antibonding) │ └─────────────────────────────────┘ └─────────────────────────────────┘ The Born-Oppenheimer Approximation
Professor Robert Field and Professor Troy Van Voorhis have released complete, verified lecture notes for 5.61. These PDFs cover:
If you want a step-by-step mathematical derivation of the . quantum chemistry lecture notes pdf verified
Models the vibrational motion of diatomic molecules. The energy levels are equally spaced:
Models molecular rotation. It assumes a fixed bond length between atoms during rotation. The energy levels are equally spaced: Models molecular
Incorporate a percentage of exact exchange from Hartree-Fock theory (e.g., B3LYP). 7. Basis Sets in Quantum Chemistry
In 1924, Louis de Broglie hypothesized that if waves behave like particles, matter must also behave like waves. He linked momentum ( ) to wavelength ( quantum chemistry lecture notes pdf verified
Features comprehensive notes on atomic and molecular structure.
Introduced a fictitious system of non-interacting electrons to calculate kinetic energy accurately, leaving a small error term called the Exchange-Correlation Functional ( Exccap E sub x c end-sub Functional Classes:
The wave function evolves in time via the time-dependent Schrödinger equation. Exactly Soluble Model Systems
ΨCI=c0Ψ0+∑iaciaΨia+∑ijabcijabΨijab+…cap psi sub cap C cap I end-sub equals c sub 0 cap psi sub 0 plus sum over i a of c sub i to the a-th power cap psi sub i to the a-th power plus sum over i j a b of c sub i j end-sub raised to the a b power cap psi sub i j end-sub raised to the a b power plus … : Includes single (S) and double (D) excitations.