Ioffe Institute Theory of Optical & Transport Phenomena in Semiconductors

Tools

Reference tools: unit conversions and calculators.

Energy unit converter Infrared — Near-infrared

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Energy

Wavelength

Wavenumber

Frequency

Temperature

Time

Magnetic field calculator not a universal conversion — set g and m*

Material

Quantity Energy Temperature Frequency
Zeeman splitting gμBB|g|\,\mu_{\mathrm{B}} B 0.0254689 meV 0.295554 K 6.15835 GHz
Cyclotron energy ωc\hbar\omega_{\mathrm{c}} 1.72788 meV 20.0512 K 0.417798 THz
Length & density Value
Magnetic length lB=/eBl_{\mathrm{B}} = \sqrt{\hbar/eB} 25.6556 nm
Landau degeneracy eB/heB/h (density at ν=1\nu = 1) 2.4180e+10 cm⁻²

Relations

E=hcλE = \frac{hc}{\lambda} photon energy
ν=cλ\nu = \frac{c}{\lambda} frequency
ν~=1λ\tilde{\nu} = \frac{1}{\lambda} wavenumber
E=kBTE = k_{\mathrm{B}} T thermal energy
Tper=1νT_{\mathrm{per}} = \frac{1}{\nu} period
τ=ΔE\tau = \frac{\hbar}{\Delta E} lifetime
EZ=gμBBE_{\mathrm{Z}} = |g|\,\mu_{\mathrm{B}} B Zeeman splitting
ωc=eBm\hbar\omega_{\mathrm{c}} = \frac{\hbar e B}{m^{*}} cyclotron energy
lB=eBl_{\mathrm{B}} = \sqrt{\frac{\hbar}{eB}} magnetic length
nB=eBhn_{\mathrm{B}} = \frac{eB}{h} Landau degeneracy

Constants (CODATA 2018)

  • hh = 4.135667696e-15 eV·s
  • \hbar = 6.582119569e-16 eV·s
  • cc = 299792458 m/s
  • kBk_{\mathrm{B}} = 8.617333262e-5 eV/K
  • μB\mu_{\mathrm{B}} = 5.788381806e-5 eV/T