1. Postulates of quantum mechanics
1.1. 1). The state of the quantum mechanical system is specified by a wavefunction
1.2. 2).For every observable, there corresponds a linear hermetian operator
1.3. 3).Observables associated with operators are only observed as eigenvalues that satisfy eigenfunctions
1.4. 4).The average value of the observable corresponding to operator can be given by an expectation value
1.5. 5).The wavefunction evolves in time according to the time-dependent Schrödinger equation
1.6. 6).The total wavefunction must be antisymmetric with respect to the interchange of all coordinates of one fermion
2. Quantum Mechanical model
2.1. Time dependent Shrödinger Equation
2.1.1. Assumes solutions represented by Wavefunctions
2.1.1.1. Describes atomic orbitals
2.1.1.1.1. Quantum numbers
2.1.1.2. Radial probability (Ψ)
2.1.1.2.1. Probability of finding an electron (Ψ2)
2.1.2. Many electron system
2.1.2.1. Represented by electron configurations that govern
2.1.2.1.1. Pauli Exclusion principle
2.1.2.1.2. Hund's Multiplicity
2.1.2.1.3. Penetration
2.1.2.1.4. Shielding
3. Spectroscopy
3.1. Energy transitions
3.1.1. Follows Selection rules
3.1.1.1. Transition dipole moment
3.1.1.1.1. Electronic
3.1.1.1.2. Vibrational
3.1.1.1.3. Rotational
3.1.1.2. Atomic term symbols
3.2. Interaction of light with matter corresponds to specific
3.2.1. Wavelength
3.2.2. Frequency
3.3. One electron system
3.3.1. Line spectra
3.4. Many electron system
3.4.1. Fine structure
4. Origins
4.1. Wave-particle Duality
4.1.1. Electrons act as waves
4.2. Bohr model
4.2.1. Hydrogenic structure
4.2.1.1. Planetary model
4.2.1.1.1. Nucleus consisting of neutrons and protons surrounded by electron clouds
4.2.1.2. Discrete energy levels
4.2.1.2.1. Energy quantization
4.2.1.3. Frequency conditions
4.2.1.4. Absorption & Emission of EMR