Empty lattice approximation for photons

1-D

2-D Square

3-D Simple cubic

Dispersion relation




Density of states

Density of states

Density of states

λ = wavelength

Density of states

Chemical potential

μ = 0

μ = 0

μ = 0

Intensity spectral density
kB = 1.3806504 × 10-23 [J/K] Boltzmann's constant
h = 6.62606896 × 10-34 [J s] Planck's constant

Wien's law

Stefan - Boltzmann law

ζ(3) ≈ 1.202 Riemann ζ function
σ = 5.67 × 10-8 Stefan-Boltzmann constant

Internal energy distribution

Internal energy

Specific heat

Helmholtz free energy

Entropy

Pressure