Atomic Physics Flashcards
3-D time independent Schrödinger equation

General Schrödinger Equation

Cubical box energy levels

Magnitude of orbital angular momentum

Z component of orbital angular momentum

Zeeman effect (qualitative description)
When an external magnetic field is applied, sharp spectral lines split into multiple closely spaced lines.
Bohr magneton

Magnitude of spin angular momentum

Spin magnetic quantum number

Pauli exclusion principle
In any given quantum system, no two fermions can occupy identical quantum states.
What causes optical spectra and what causes characteristic x-rays?
Characteristic x-rays are emitted when outer-shell electrons fill a vacancy in the inner shell of an atom. Optical spectra are caused by transitions of outer electrons.
Electron transition selection rules

Angular momentum in the Bohr model

Hamiltonian responsible for the Zeeman effect

Stark effect (qualitative)
The splitting of degenerate energy levels into closely spaced multiplets under the application of an external electric field. Note that it causes no change in the ground state energy of a hydrogenic atom to first order in the electric field magnitude.
Chemistry naming of orbitals
l = 0, 1, 2, 3 for s, p, d, f
What are the allowed values for n, l, m?
n = 1, 2, 3, 4, ….
l = 0, 1, 2, …, n-1
m = -l, -l+1,…, 0, … l-1, l
How many allowed states are there per orbital in atoms?
2(2l+1)
Stefan-Boltzmann law
(for black-bodies)

Wien’s displacement law
(for black-bodies)

X-ray K lines energies

Spectroscopic notation
(L = S, P, D, F, …)

Lyman and Balmer series
Lyman refers to transitions in hydrogen to the n = 1 state, while Balmer refers to transitions (down) in hydrogen to the n = 2 state.
Energy of hydroen-like systems

Proportionalities of fine structure perturbations to hydrogenic atoms

Proportionalities of Lamb shift perturbations to hydrogenic atoms

Proportionalities of hyperfine / spin-spin perturbations to hydrogenic atoms
