Stefan-Boltzmann unit
data derived with UnitSystems.jl
\[\text{F}\cdot \text{L}^{-1}\text{T}^{-1}\Theta^{-4}\]
\[\left[\text{k}_\text{B}^{4}\hbar^{-3}\text{c}^{-2}\phi^{-3}\right]\]
\[\sigma = \frac{2\pi^5 k_B^4}{15h^3c^2} = \frac{\pi^2 k_B^4}{60\hbar^3c^2} = \frac{32\pi^5 h}{15c^6\alpha^8} \left(\frac{g_0R_uR_\infty}{\mu_{eu}M_u}\right)^4\]
| Quantity | Product | UnitSystem |
|---|---|---|
| $5.6703744114(70) \times 10^{-8}$ $\left[\text{W} \cdot \text{m}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{12}3^{-1}5^{11}$ | Metric |
| $5.670374419184431 \times 10^{-8}$ $\left[\text{W} \cdot \text{m}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\hbar^{-3}\text{c}^{-2}\tau^{5}2^{-4}3^{-1}5^{-1}$ | SI2019 |
| $5.6699853652(70) \times 10^{-8}$ $\left[\text{kg}\cdot \text{s}^{-3}\text{K}^{-4}\right]$ | $\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{12}3^{-1}5^{11}4778.668917386054$ | SI1976 |
| $5.670367(13) \times 10^{-8}$ $\left[\text{W} \cdot \text{m}^{-2} \text{K}^{-4}\right]$ | $\text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{R}_\text{K}^{-1}\text{K}_\text{J}^{-2}\text{R}_\text{u}^{4}\tau^{5}2^{14}3^{-1}5^{11}$ | CODATA |
| $5.6703733026(70) \times 10^{-8}$ $\left[\text{W} \cdot \text{m}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\tau^{5}2^{14}3^{-1}5^{11}$ | Conventional |
| $5.6694387997(70) \times 10^{-8}$ $\left[\text{W} \cdot \text{m}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\Omega_\text{it}\cdot \text{V}_\text{it}^{-2}\tau^{5}2^{12}3^{-1}5^{11}$ | International |
| $5.6692971174(70) \times 10^{-8}$ $\left[\text{W} \cdot \text{m}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{12}3^{-1}5^{11}/1.0001900224889804$ | InternationalMean |
| $5.6703744114(70) \times 10^{-8}$ $\left[\text{W} \cdot \text{m}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{12}3^{-1}5^{11}$ | MetricTurn |
| $5.6703744114(70) \times 10^{-8}$ $\left[\text{W} \cdot \text{m}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{12}3^{-1}5^{11}$ | MetricSpatian |
| $5.6703744114(70) \times 10^{-8}$ $\left[\text{W} \cdot \text{m}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{12}3^{-1}5^{11}$ | MetricGradian |
| $5.6703744114(70) \times 10^{-8}$ $\left[\text{W} \cdot \text{m}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{12}3^{-1}5^{11}$ | MetricDegree |
| $5.6703744114(70) \times 10^{-8}$ $\left[\text{W} \cdot \text{m}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{12}3^{-1}5^{11}$ | MetricArcminute |
| $5.6703744114(70) \times 10^{-8}$ $\left[\text{W} \cdot \text{m}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{12}3^{-1}5^{11}$ | MetricArcsecond |
| $5.7821727209(71) \times 10^{-9}$ $\left[\text{kgf}\cdot \text{m}^{-1}\text{s}^{-1}\text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{g}_0^{-1}\tau^{5}2^{12}3^{-1}5^{11}$ | Engineering |
| $5.7821727209(71) \times 10^{-9}$ $\left[\text{kgf}\cdot \text{m}^{-1}\text{s}^{-1}\text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{g}_0^{-1}\tau^{5}2^{12}3^{-1}5^{11}$ | Gravitational |
| $5.6703744114(70) \times 10^{-11}$ $\left[\text{t}\cdot \text{s}^{-3}\text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{9}3^{-1}5^{8}$ | MTS |
| $5.6703744114(70) \times 10^{-5}$ $\left[\text{erg} \cdot \text{s}^{-1} \text{cm}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{15}3^{-1}5^{14}$ | EMU |
| $5.6703744114(70) \times 10^{-5}$ $\left[\text{erg} \cdot \text{s}^{-1} \text{cm}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{15}3^{-1}5^{14}$ | ESU |
| $5.6703744114(70) \times 10^{-5}$ $\left[\text{erg} \cdot \text{s}^{-1} \text{cm}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{15}3^{-1}5^{14}$ | Gauss |
| $5.6703744114(70) \times 10^{-5}$ $\left[\text{erg} \cdot \text{s}^{-1} \text{cm}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{15}3^{-1}5^{14}$ | LorentzHeaviside |
| $1.1908470223(15) \times 10^{-8}$ $\left[\text{lb}\cdot \text{s}^{-3}{^\circ}\text{R}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{lb}^{-1}\tau^{5}2^{12}3^{-9}5^{15}$ | FPS |
| $3.0843880803(38) \times 10^{-11}$ $\left[\text{lb}\cdot \text{in}^{-1}\text{s}^{-1}{^\circ}\text{R}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{g}_0^{-1}\text{ft}\cdot \text{lb}^{-1}\tau^{5}2^{10}3^{-10}5^{15}$ | IPS |
| $3.7012656963(46) \times 10^{-10}$ $\left[\text{lb}\cdot \text{ft}^{-1}\text{s}^{-1}{^\circ}\text{R}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{g}_0^{-1}\text{ft}\cdot \text{lb}^{-1}\tau^{5}2^{12}3^{-9}5^{15}$ | British |
| $3.7012656963(46) \times 10^{-10}$ $\left[\text{lbf}\cdot \text{ft}^{-1}\text{s}^{-1}{^\circ}\text{R}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{g}_0^{-1}\text{ft}\cdot \text{lb}^{-1}\tau^{5}2^{12}3^{-9}5^{15}$ | English |
| $3.7012730989(46) \times 10^{-10}$ $\left[\text{lbf}\cdot \text{ft}^{-1}\text{s}^{-1}{^\circ}\text{R}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{g}_0^{-1}\text{ft}_\text{US}\cdot \text{lb}^{-1}\tau^{5}2^{12}3^{-9}5^{15}$ | Survey |
| $555.60158674(68)$ $\left[\text{lb}\cdot \text{h}^{-3}{^\circ}\text{R}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{lb}^{-1}\tau^{5}2^{24}3^{-3}5^{21}$ | MPH |
| $2645.5698854(33)$ $\left[\text{kg}\cdot \text{h}^{-3}\text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{24}3^{5}5^{17}$ | KKH |
| $2634.1103030(86)$ $\left[\text{keg}\cdot \text{h}^{-3}\text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{g}_0^{3/2}\text{GM}_\text{E}^{-3/2}\tau^{2}2^{51}3^{5}5^{38}$ | Nautical |
| $5.645812549(18) \times 10^{-8}$ $\left[\text{eW} \cdot \text{em}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{g}_0^{3/2}\text{GM}_\text{E}^{-3/2}\tau^{2}2^{39}3^{-1}5^{32}$ | Meridian |
| $1.839277(41) \times 10^{-23}$ $\left[\text{M}_\odot\cdot \text{D}^{-3}\text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar^{2}\text{c}^{-5}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{2}2^{61}3^{22}5^{27}$ | IAU☉ |
| $6.12380(14) \times 10^{-18}$ $\left[\text{ME}\cdot \text{D}^{-3}\text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar^{2}\text{c}^{-5}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{m}_\text{P}^{-2}\text{GM}_\text{E}^{-1}\tau^{4}2^{33}3^{8}5^{17}$ | IAUE |
| $1.926763(42) \times 10^{-20}$ $\left[\text{MJ}\cdot \text{D}^{-3}\text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar^{2}\text{c}^{-5}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{m}_\text{P}^{-2}\text{GM}_\text{J}^{-1}\tau^{4}2^{33}3^{8}5^{17}$ | IAUJ |
| $7.30(14) \times 10^{114}$ $\left[\text{T}^{-3}\right]$ | $\text{c}^{3}\text{R}_{\infty}^{3}\alpha^{-6}\text{H}_0^{-3}\text{au}^{3}\tau^{2}2^{29}3^{11}5^{17}$ | Hubble |
| $\infty $ $\left[\text{M}^{-3}\text{T}^{-3}\right]$ | $\hbar^{-6}\text{c}^{12}\Omega_{\Lambda}^{-3}\text{H}_0^{-6}\text{au}^{6}\text{m}_\text{P}^{6}\tau^{2}2^{56}3^{20}5^{35}$ | Cosmological |
| $0.16449340668482262$ $\left[\mathbb{1}\right]$ | $\tau^{2}2^{-4}3^{-1}5^{-1}$ | CosmologicalQuantum |
| $0.16449340668482262$ $\left[\mathbb{1}\right]$ | $\tau^{2}2^{-4}3^{-1}5^{-1}$ | Planck |
| $0.16449340668482262$ $\left[\mathbb{1}\right]$ | $\tau^{2}2^{-4}3^{-1}5^{-1}$ | PlanckGauss |
| $6.3921135864(29) \times 10^{-8}$ $\left[\text{M}^{-3}\text{T}^{-3}\right]$ | $\alpha^{3}\tau^{2}2^{-4}3^{-1}5^{-1}$ | Stoney |
| $8.7594967156(27) \times 10^{-6}$ $\left[\text{a}_0^{2}\right]$ | $\alpha^{2}\tau^{2}2^{-4}3^{-1}5^{-1}$ | Hartree |
| $2.18987417891(67) \times 10^{-6}$ $\left[\text{M}\cdot \text{T}\right]$ | $\alpha^{2}\tau^{2}2^{-6}3^{-1}5^{-1}$ | Rydberg |
| $8.7594967156(27) \times 10^{-6}$ $\left[\text{M}\cdot \text{T}\right]$ | $\alpha^{2}\tau^{2}2^{-4}3^{-1}5^{-1}$ | Schrodinger |
| $6.3921135864(29) \times 10^{-8}$ $\left[\text{T}^{-3}\right]$ | $\alpha^{3}\tau^{2}2^{-4}3^{-1}5^{-1}$ | Electronic |
| $0.16449340668482262$ $\left[\mathbb{1}\right]$ | $\tau^{2}2^{-4}3^{-1}5^{-1}$ | Natural |
| $0.16449340668482262$ $\left[\mathbb{1}\right]$ | $\tau^{2}2^{-4}3^{-1}5^{-1}$ | NaturalGauss |
| $0.16449340668482262$ $\left[\mathbb{1}\right]$ | $\tau^{2}2^{-4}3^{-1}5^{-1}$ | QCD |
| $0.16449340668482262$ $\left[\mathbb{1}\right]$ | $\tau^{2}2^{-4}3^{-1}5^{-1}$ | QCDGauss |
| $0.16449340668482262$ $\left[\mathbb{1}\right]$ | $\tau^{2}2^{-4}3^{-1}5^{-1}$ | QCDoriginal |