Definition:First Radiation Constant

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Definition

The first radiation constant is defined as:

$c_1 = 2 h c^2$

where:

$h$ denotes Planck's constant
$c$ denotes the speed of light.




Symbol

$c_1$

The symbol for the first radiation constant is $c_1$.


The $\LaTeX$ code for \(c_1\) is c_1 .


Dimension

The first radiation constant has the dimension $\mathsf {M L^4 T^{-3} }$.


Units

The SI unit for the first radiation constant is given as watt (metres) squared per second: $\mathrm {W \, m^2}$

The CGS unit for the first radiation constant is given as ergs centimetre squared per second: $\mathrm {erg \, cm^2 \, s^{-1} }$


Value

The value of the first radiation constant is:

\(\ds c_1\) \(=\) \(\ds 2 h c^2\)
\(\ds \) \(=\) \(\ds 1 \cdotp 19104 \, 2972 \ldots \times 10^{-18} \, \mathrm {W \, m^2}\)
\(\ds \) \(=\) \(\ds 1 \cdotp 19104 \, 2972 \ldots \times 10^{-15} \, \mathrm {erg \, cm^2 \, s^{-1} }\)


Also defined as

The first radiation constant is also seen defined as:

$c_1 = 8 \pi h c$

where:

$h$ denotes the Planck's constant
$c$ denotes the speed of light.

This can be obtained from the conventional definition of first radiation constant by multiplying it by $\dfrac {4 \pi} c$.


Also see


Sources