Planck blackbody spectral radiance, wavelength form

B(lam, T) = (2 h c^2 / lam^5) / (exp(hc/(lam kB T)) - 1) (W sr-1 m-3), with the Wien displacement peak lam_max = b/T (b = hc/(kB x*), x* the root of (x-5)e^x + 5 = 0) and the Stefan-Boltzmann total power. Exactly consistent with the in-tree frequency form (plank/Plank) via B_lam = B_nu(c/lam) c/lam^2.

Usage

Plncf(lam, T, h = 6.62607015e-34, c = 299792458, kB = 1.380649e-23)

Arguments

lam

Wavelengths (m), > 0.

T

Temperature (K), > 0.

h, c, kB

Physical constants (2019 SI exact defaults).

Value

List with estimate, peak_wavelength, wien_constant, total_power, T, method.

References

Planck, M. (1900), Verh. Dtsch. Phys. Ges. 2, 237-245; BIPM SI (2019) exact constants; CODATA 2018.

Examples

V <- c(1, 2, 3, 4, 5, 6, 7, 8)
Plncf(V, V)
#> $estimate
#> [1] 8.218754e-15 5.155264e-16 1.019547e-16 3.227845e-17 1.322601e-17
#> [6] 6.379816e-18 3.444256e-18 2.019219e-18
#> 
#> $peak_wavelength
#> [1] 0.002897772
#> 
#> $wien_constant
#> [1] 0.002897772
#> 
#> $total_power
#> [1] 5.670374e-08
#> 
#> $T
#> [1] 1
#> 
#> $method
#> [1] "Planck spectral radiance, wavelength form B(lam,T) = 2hc^2/lam^5 / (exp(hc/lam kB T)-1)"
#>