boltzmann_level

typhon.spectroscopy.boltzmann_level(elow, t, t0)

Computes the Boltzmann level function

$$K_1=\exp \left(\frac{E_l[T-T_0]}{k_{B}T{T}_0}\right),$$

where $k_B$ is the Boltzmann constant.

All ndarrays must be of same size, any of the inputs can be ndarray

Parameters:

• elow (float or ndarray) – Lower state energy level [J]

• t (float or ndarray) – Temperature [Kelvin]

• t0 (float or ndarray) – Line temperature [Kelvin]

Returns

K1 (like input): How much Boltzmann statistics feeds the transition

$$S(T)=S(T_0)K_1{K}_2\frac{Q(T_0)}{Q(T)}$$