qspec.hyper_zeeman_linear  (  i ,  j ,  f ,  m ,  hyper_const = 0.0 ,  g_f = 0.0 ,  b_field = 0.0 ,  as_freq = True  )[source]

The total energy shift of an atomic state $|Fm\rangle$ due to the hyperfine structure splitting and the linear Zeeman effect $$\Delta = \Delta_\mathrm{hfs} + \Delta_\mathrm{Zeeman}.$$

Parameters:

iquant_like

The nuclear spin quantum number $I$.

jquant_like

The electronic total angular momentum quantum number $J$.

fquant_like

The total angular momentum quantum number $F$.

mquant_like

The magnetic quantum number $m_F$.

hyper_constarray_like

The hyperfine structure constants $A = \mu_I \mathcal{B}_J / (IJ)$, $B = eQ_I (\partial^2 V_J / \partial z^2)$ and $C = \Omega_I T_J^{(3)}$ of the magnetic dipole, electric quadrupole and magnetic octupole order, respectively. If a scalar is given, only the $A$ constant is used (MHz if as_freq else eV).

g_farray_like

The atomic g-factor $g_F$.

b_fieldarray_like

The B-field $\mathcal{B}$ (T).

as_freqbool

The shift can be returned in energy (False, eV) or frequency units (True, MHz). The default is True

Returns:

dnu_hfs_zeemanndarray

The hyperfine structure + linear Zeeman shift $\Delta$ (MHz if as_freq else eV)