ncm_c_sqrt_1_4pi ()

double
ncm_c_sqrt_1_4pi (void);

ncm_c_sqrt_pi ()

double
ncm_c_sqrt_pi (void);

ncm_c_sqrt_2pi ()

double
ncm_c_sqrt_2pi (void);

ncm_c_sqrt_pi_2 ()

double
ncm_c_sqrt_pi_2 (void);

ncm_c_sqrt_3_4pi ()

double
ncm_c_sqrt_3_4pi (void);

ncm_c_ln2 ()

double
ncm_c_ln2 (void);

ncm_c_ln3 ()

double
ncm_c_ln3 (void);

ncm_c_lnpi_4 ()

double
ncm_c_lnpi_4 (void);

ncm_c_ln2pi ()

double
ncm_c_ln2pi (void);

ncm_c_lnpi ()

double
ncm_c_lnpi (void);

ncm_c_pi ()

double
ncm_c_pi (void);

ncm_c_two_pi_2 ()

double
ncm_c_two_pi_2 (void);

ncm_c_tan_1arcsec ()

double
ncm_c_tan_1arcsec (void);

ncm_c_deg2_steradian ()

double
ncm_c_deg2_steradian (void);

The convertion factor from degrees squared to steradian.

ncm_c_degree_to_radian ()

gdouble
ncm_c_degree_to_radian (const gdouble d);

ncm_c_radian_to_degree ()

gdouble
ncm_c_radian_to_degree (const gdouble r);

ncm_c_radian_0_2pi ()

gdouble
ncm_c_radian_0_2pi (const gdouble r);

ncm_c_sign_sin ()

gdouble
ncm_c_sign_sin (const gdouble r);

ncm_c_c ()

gdouble
ncm_c_c (void);

Using CODATA values, see description.

ncm_c_h ()

gdouble
ncm_c_h (void);

Using CODATA values, see description.

ncm_c_hbar ()

gdouble
ncm_c_hbar (void);

Using CODATA values, see description.

ncm_c_fine_struct ()

gdouble
ncm_c_fine_struct (void);

Using CODATA values, see description.

ncm_c_kb ()

gdouble
ncm_c_kb (void);

Using CODATA values, see description.

ncm_c_G ()

gdouble
ncm_c_G (void);

Using CODATA values, see description.

ncm_c_planck_length ()

gdouble
ncm_c_planck_length (void);

ncm_c_thomson_cs ()

gdouble
ncm_c_thomson_cs (void);

Using CODATA values, see description.

ncm_c_stefan_boltzmann ()

gdouble
ncm_c_stefan_boltzmann (void);

Using CODATA values, see description.

ncm_c_magnetic_constant ()

gdouble
ncm_c_magnetic_constant (void);

Using CODATA values, see description.

ncm_c_mass_atomic ()

gdouble
ncm_c_mass_atomic (void);

Using CODATA values, see description.

ncm_c_mass_e ()

gdouble
ncm_c_mass_e (void);

Using CODATA values, see description.

ncm_c_mass_p ()

gdouble
ncm_c_mass_p (void);

Using CODATA values, see description.

ncm_c_mass_n ()

gdouble
ncm_c_mass_n (void);

Using CODATA values, see description.

ncm_c_mass_ratio_alpha_p ()

gdouble
ncm_c_mass_ratio_alpha_p (void);

Using CODATA values, see description.

ncm_c_mass_ratio_e_p ()

gdouble
ncm_c_mass_ratio_e_p (void);

Using CODATA values, see description.

ncm_c_Rinf ()

gdouble
ncm_c_Rinf (void);

Using CODATA values, see description.

ncm_c_Ry ()

gdouble
ncm_c_Ry (void);

Using CODATA values, see description.

ncm_c_eV ()

gdouble
ncm_c_eV (void);

Using CODATA values, see description.

ncm_c_year ()

gdouble
ncm_c_year (void);

One year ($365.25$ days) in seconds.

ncm_c_lightyear ()

gdouble
ncm_c_lightyear (void);

One year times the speed of light ncm_c_c() in meters.

ncm_c_lightyear_pc ()

gdouble
ncm_c_lightyear_pc (void);

One light-year in parsecs.

ncm_c_Glightyear_Mpc ()

gdouble
ncm_c_Glightyear_Mpc (void);

One giga light-year in mega parsecs.

ncm_c_hc ()

gdouble
ncm_c_hc (void);

Derived from CODATA values, see description.

ncm_c_fine_struct_square ()

gdouble
ncm_c_fine_struct_square (void);

Derived from CODATA values, see description.

ncm_c_electric_constant ()

gdouble
ncm_c_electric_constant (void);

Derived from CODATA values, see description.

ncm_c_AR ()

gdouble
ncm_c_AR (void);

Derived from CODATA values, see description.

ncm_c_c2 ()

gdouble
ncm_c_c2 (void);

Derived from CODATA values, see description.

ncm_c_planck_length2 ()

gdouble
ncm_c_planck_length2 (void);

Derived from CODATA values, see description.

ncm_c_rest_energy_atomic ()

gdouble
ncm_c_rest_energy_atomic (void);

Derived from CODATA values, see description.

ncm_c_rest_energy_e ()

gdouble
ncm_c_rest_energy_e (void);

Derived from CODATA values, see description.

ncm_c_rest_energy_p ()

gdouble
ncm_c_rest_energy_p (void);

Derived from CODATA values, see description.

ncm_c_rest_energy_n ()

gdouble
ncm_c_rest_energy_n (void);

Derived from CODATA values, see description.

ncm_c_thermal_wl_e ()

gdouble
ncm_c_thermal_wl_e (void);

Derived from CODATA values, see description.

The electron termal wavelength is $\lambda_\mathrm{e} = \sqrt{2\pi\hbar^2/(m_\mathrm{e}k_\mathrm{B}T)} \,\left[\mathrm{m}\right]$.

ncm_c_thermal_wl_p ()

gdouble
ncm_c_thermal_wl_p (void);

Derived from CODATA values, see description.

The proton termal wavelength is $\lambda_\mathrm{p} = \sqrt{2\pi\hbar^2/(m_\mathrm{p}k_\mathrm{B}T)} \,\left[\mathrm{m}\right]$.

ncm_c_thermal_wl_n ()

gdouble
ncm_c_thermal_wl_n (void);

Derived from CODATA values, see description.

The neutron termal wavelength is $\lambda_\mathrm{n} = \sqrt{2\pi\hbar^2/(m_\mathrm{n}k_\mathrm{B}T)} \,\left[\mathrm{m}\right]$.

ncm_c_thermal_wn_e ()

gdouble
ncm_c_thermal_wn_e (void);

Derived from CODATA values, see description.

The electron termal wavenumber is $k_\mathrm{e} = 1/\lambda_\mathrm{e}$, see ncm_c_thermal_wl_e().

ncm_c_thermal_wn_p ()

gdouble
ncm_c_thermal_wn_p (void);

Derived from CODATA values, see description.

The proton termal wavenumber is $k_\mathrm{p} = 1/\lambda_\mathrm{p}$, see ncm_c_thermal_wl_p().

ncm_c_thermal_wn_n ()

gdouble
ncm_c_thermal_wn_n (void);

Derived from CODATA values, see description.

The neutron termal wavenumber is $k_\mathrm{n} = 1/\lambda_\mathrm{n}$, see ncm_c_thermal_wl_n().

ncm_c_H_reduced_mass ()

gdouble
ncm_c_H_reduced_mass (void);

Derived from CODATA values, see description.

Reduced mass for the electron in Hydrogen binding energy calculation, i.e., $m_\mathrm{r} = m_\mathrm{e} / (1 + m_\mathrm{e}/m_\mathrm{p})$

ncm_c_H_reduced_energy ()

gdouble
ncm_c_H_reduced_energy (void);

Reduced mass times $c^2$, $m_\mathrm{r}c^2$, see ncm_c_H_reduced_mass().

ncm_c_H_bind ()

gdouble
ncm_c_H_bind (const gdouble n,
              const gdouble j);

Energy difference from unbounded state to state $(n,\,j)$, i.e., minus the binding energy of the state $(n,\,j)$, calculated from \begin{equation} E^\mathrm{H}_{n,j} = m_\mathrm{e}c^2\left[1 - f(n,j)\right], \end{equation} where \begin{align} f(n, j) &= \left[1+\left(\frac{\alpha}{n - \delta(j)}\right)^2\right]^{-\frac{1}{2}}, \\ \delta(j) &= j+\frac{1}{2} + \sqrt{\left(j+1/2\right)^2 - \alpha^2}. \end{align}

ncm_c_mass_1H_u ()

gdouble
ncm_c_mass_1H_u (void);

Obtained from CIAAW commission of IUPAC, see description.

ncm_c_mass_2H_u ()

gdouble
ncm_c_mass_2H_u (void);

Obtained from CIAAW commission of IUPAC, see description.

ncm_c_mass_3H_u ()

gdouble
ncm_c_mass_3H_u (void);

Obtained from CIAAW commission of IUPAC, see description.

ncm_c_mass_3He_u ()

gdouble
ncm_c_mass_3He_u (void);

Obtained from CIAAW commission of IUPAC, see description.

ncm_c_mass_4He_u ()

gdouble
ncm_c_mass_4He_u (void);

Obtained from CIAAW commission of IUPAC, see description.

ncm_c_mass_1H ()

gdouble
ncm_c_mass_1H (void);

Obtained from CIAAW commission of IUPAC, see description. Calculated using ncm_c_mass_1H_u() $\times$ ncm_c_mass_atomic().

ncm_c_mass_2H ()

gdouble
ncm_c_mass_2H (void);

Obtained from CIAAW commission of IUPAC, see description. Calculated using ncm_c_mass_2H_u() $\times$ ncm_c_mass_atomic().

ncm_c_mass_3H ()

gdouble
ncm_c_mass_3H (void);

Obtained from CIAAW commission of IUPAC, see description. Calculated using ncm_c_mass_3H_u() $\times$ ncm_c_mass_atomic().

ncm_c_mass_3He ()

gdouble
ncm_c_mass_3He (void);

Obtained from CIAAW commission of IUPAC, see description. Calculated using ncm_c_mass_3He_u() $\times$ ncm_c_mass_atomic().

ncm_c_mass_4He ()

gdouble
ncm_c_mass_4He (void);

Obtained from CIAAW commission of IUPAC, see description. Calculated using ncm_c_mass_4He_u() $\times$ ncm_c_mass_atomic().

ncm_c_rest_energy_1H ()

gdouble
ncm_c_rest_energy_1H (void);

Obtained from CIAAW commission of IUPAC, see description. Calculated using ncm_c_mass_1H_u() $\times$ ncm_c_rest_energy_atomic().

ncm_c_rest_energy_2H ()

gdouble
ncm_c_rest_energy_2H (void);

Obtained from CIAAW commission of IUPAC, see description. Calculated using ncm_c_mass_2H_u() $\times$ ncm_c_rest_energy_atomic().

ncm_c_rest_energy_3H ()

gdouble
ncm_c_rest_energy_3H (void);

Obtained from CIAAW commission of IUPAC, see description. Calculated using ncm_c_mass_3H_u() $\times$ ncm_c_rest_energy_atomic().

ncm_c_rest_energy_3He ()

gdouble
ncm_c_rest_energy_3He (void);

Obtained from CIAAW commission of IUPAC, see description. Calculated using ncm_c_mass_3He_u() $\times$ ncm_c_rest_energy_atomic().

ncm_c_rest_energy_4He ()

gdouble
ncm_c_rest_energy_4He (void);

Obtained from CIAAW commission of IUPAC, see description. Calculated using ncm_c_mass_4He_u() $\times$ ncm_c_rest_energy_atomic().

ncm_c_mass_ratio_4He_1H ()

gdouble
ncm_c_mass_ratio_4He_1H (void);

Obtained from CIAAW commission of IUPAC, see description. Calculated using ncm_c_mass_4He_u() / ncm_c_mass_1H_u().

ncm_c_au ()

gdouble
ncm_c_au (void);

Using IAU 2015 recommendation see description, compatible with NASA JPL recommendations (as in 5 January 2016).

ncm_c_pc ()

gdouble
ncm_c_pc (void);

Using IAU 2015 recommendation see description.

ncm_c_kpc ()

gdouble
ncm_c_kpc (void);

Using IAU 2015 recommendation see description.

ncm_c_Mpc ()

gdouble
ncm_c_Mpc (void);

Using IAU 2015 recommendation see description.

ncm_c_G_mass_solar ()

gdouble
ncm_c_G_mass_solar (void);

Using IAU 2015 recommendation see description.

IAU recomends the use of a fixed value for the gravitational constant times the solar mass.

ncm_c_mass_solar ()

gdouble
ncm_c_mass_solar (void);

Using IAU 2015 recommendation see description.

As in the recomendation above $\mathrm{M}_\odot = (\mathcal{GM})_\odot / \mathrm{G}$. Here we use the CODATA 2018 value for $G$, see ncm_c_G().

ncm_c_HI_ion_wn_1s_2S0_5 ()

gdouble
ncm_c_HI_ion_wn_1s_2S0_5 (void);

NIST compilation of atomic spectra see description.

Ionization energy wavenumber for H-I $1s\,{}^2\!S_{1/2}$ state, i.e., $k_{1s\,{}^2\!S_{1/2}}$.

ncm_c_HI_ion_wn_2s_2S0_5 ()

gdouble
ncm_c_HI_ion_wn_2s_2S0_5 (void);

NIST compilation of atomic spectra see description.

Ionization energy wavenumber for H-I $2s\,{}^2\!S_{1/2}$ state calculated from the difference between the first state and the corresponding Lyman wavenumber, i.e., $k_{2s\,{}^2\!S_{1/2}} = k_{1s\,{}^2\!S_{1/2}} - k_{2s\,{}^2\!S_{1/2}}^\mathrm{Ly}$, see ncm_c_HI_Lyman_wn_2s_2S0_5().

ncm_c_HI_ion_wn_2p_2P0_5 ()

gdouble
ncm_c_HI_ion_wn_2p_2P0_5 (void);

NIST compilation of atomic spectra see description.

Ionization energy wavenumber for H-I $2p\,{}^2\!P_{1/2}$ state calculated from the difference between the first state and the corresponding Lyman wavenumber, i.e., $k_{2p\,{}^2\!P_{1/2}} = k_{1s\,{}^2\!S_{1/2}} - k_{2p\,{}^2\!P_{1/2}}^\mathrm{Ly}$, see ncm_c_HI_Lyman_wn_2p_2P0_5().

ncm_c_HI_ion_wn_2p_2P3_5 ()

gdouble
ncm_c_HI_ion_wn_2p_2P3_5 (void);

NIST compilation of atomic spectra see description.

Ionization energy wavenumber for H-I $2p\,{}^2\!P_{3/2}$ state calculated from the difference between the first state and the corresponding Lyman wavenumber, i.e., $k_{2p\,{}^2\!P_{3/2}} = k_{1s\,{}^2\!S_{3/2}} - k_{2p\,{}^2\!P_{3/2}}^\mathrm{Ly}$, see ncm_c_HI_Lyman_wn_2p_2P3_5().

ncm_c_HI_ion_wn_2p_2Pmean ()

gdouble
ncm_c_HI_ion_wn_2p_2Pmean (void);

NIST compilation of atomic spectra see description.

The mean ionization energy wavenumber for H-I $2p\,{}^2\!P_{1/2}$ and $2p\,{}^2\!P_{3/2}$ states , i.e., $k_{2p\,{}^2\!P_\mathrm{mean}} = (k_{2p\,{}^2\!P_{1/2}} + k_{2p\,{}^2\!P_{3/2}}) / 2$, see ncm_c_HI_Lyman_wn_2p_2Pmean().

ncm_c_HI_ion_E_1s_2S0_5 ()

gdouble
ncm_c_HI_ion_E_1s_2S0_5 (void);

NIST compilation of atomic spectra see description.

Ionization energy calculated from the wavenumber $k_{1s\,{}^2\!S_{1/2}}$, see ncm_c_HI_ion_wn_1s_2S0_5().

ncm_c_HI_ion_E_2s_2S0_5 ()

gdouble
ncm_c_HI_ion_E_2s_2S0_5 (void);

NIST compilation of atomic spectra see description.

Ionization energy calculated from the wavenumber $k_{2s\,{}^2\!S_{1/2}}$, see ncm_c_HI_ion_wn_2s_2S0_5().

ncm_c_HI_ion_E_2p_2P0_5 ()

gdouble
ncm_c_HI_ion_E_2p_2P0_5 (void);

NIST compilation of atomic spectra see description.

Ionization energy calculated from the wavenumber $k_{2p\,{}^2\!P_{1/2}}$, see ncm_c_HI_ion_wn_2p_2P0_5().

ncm_c_HI_ion_E_2p_2P3_5 ()

gdouble
ncm_c_HI_ion_E_2p_2P3_5 (void);

NIST compilation of atomic spectra see description.

Ionization energy calculated from the wavenumber $k_{2p\,{}^2\!P_{3/2}}$, see ncm_c_HI_ion_wn_2p_2P3_5().

ncm_c_HI_ion_E_2p_2Pmean ()

gdouble
ncm_c_HI_ion_E_2p_2Pmean (void);

NIST compilation of atomic spectra see description.

Ionization energy calculated from the wavenumber $k_{2p\,{}^2\!P_\mathrm{mean}}$, see ncm_c_HI_ion_wn_2p_2Pmean().

ncm_c_HI_Lyman_wn_2s_2S0_5 ()

gdouble
ncm_c_HI_Lyman_wn_2s_2S0_5 (void);

NIST compilation of atomic spectra see description.

Lyman emission wavenumber for the $2s\,{}^2\!S_{1/2} \to 1s\,{}^2\!S_{1/2}$ transition $k_{2s\,{}^2\!S_{1/2}}^\mathrm{Ly}$.

ncm_c_HI_Lyman_wn_2p_2P0_5 ()

gdouble
ncm_c_HI_Lyman_wn_2p_2P0_5 (void);

NIST compilation of atomic spectra see description.

Lyman emission wavenumber for the $2p\,{}^2\!P_{1/2} \to 1s\,{}^2\!S_{1/2}$ transition $k_{2p\,{}^2\!P_{1/2}}^\mathrm{Ly}$.

ncm_c_HI_Lyman_wn_2p_2P3_5 ()

gdouble
ncm_c_HI_Lyman_wn_2p_2P3_5 (void);

NIST compilation of atomic spectra see description.

Lyman emission wavenumber for the $2p\,{}^2\!P_{3/2} \to 1s\,{}^2\!S_{1/2}$ transition $k_{2p\,{}^2\!P_{3/2}}^\mathrm{Ly}$.

ncm_c_HI_Lyman_wn_2p_2Pmean ()

gdouble
ncm_c_HI_Lyman_wn_2p_2Pmean (void);

NIST compilation of atomic spectra see description.

Mean Lyman emission wavenumber for the $2p\,{}^2\!P_{1/2}$ and $2p\,{}^2\!P_{3/2}$ states, $k_{2p\,{}^2\!P_{mean}^\mathrm{Ly}} = (k_{2p\,{}^2\!P_{1/2}}^\mathrm{Ly} + k_{2p\,{}^2\!P_{3/2}}^\mathrm{Ly}) / 2$.

ncm_c_HI_Lyman_wl_2s_2S0_5 ()

gdouble
ncm_c_HI_Lyman_wl_2s_2S0_5 (void);

NIST compilation of atomic spectra see description.

Wavelength for the $2s\,{}^2\!S_{1/2} \to 1s\,{}^2\!S_{1/2}$ transition $\lambda_{2s\,{}^2\!S_{1/2}}^\mathrm{Ly} = \left(k_{2s\,{}^2\!S_{1/2}}^\mathrm{Ly}\right)^{-1}$, see ncm_c_HI_Lyman_wn_2s_2S0_5().

ncm_c_HI_Lyman_wl_2p_2P0_5 ()

gdouble
ncm_c_HI_Lyman_wl_2p_2P0_5 (void);

NIST compilation of atomic spectra see description.

Wavelength for the $2p\,{}^2\!P_{1/2} \to 1s\,{}^2\!S_{1/2}$ transition $\lambda_{2p\,{}^2\!P_{1/2}}^\mathrm{Ly} = \left(k_{2p\,{}^2\!P_{1/2}}^\mathrm{Ly}\right)^{-1}$, see ncm_c_HI_Lyman_wn_2p_2P0_5().

ncm_c_HI_Lyman_wl_2p_2P3_5 ()

gdouble
ncm_c_HI_Lyman_wl_2p_2P3_5 (void);

NIST compilation of atomic spectra see description.

Wavelength for the $2p\,{}^2\!P_{3/2} \to 1s\,{}^2\!S_{1/2}$ transition $\lambda_{2p\,{}^2\!P_{3/2}}^\mathrm{Ly} = \left(k_{2p\,{}^2\!P_{3/2}}^\mathrm{Ly}\right)^{-1}$, see ncm_c_HI_Lyman_wn_2p_2P3_5().

ncm_c_HI_Lyman_wl_2p_2Pmean ()

gdouble
ncm_c_HI_Lyman_wl_2p_2Pmean (void);

NIST compilation of atomic spectra see description.

Wavelength for the $2p\,{}^2\!P_\mathrm{mean} \to 1s\,{}^2\!S_{1/2}$ transition $\lambda_{2p\,{}^2\!P_\mathrm{mean}}^\mathrm{Ly} = \left(k_{2p\,{}^2\!P_\mathrm{mean}}^\mathrm{Ly}\right)^{-1}$, see ncm_c_HI_Lyman_wn_2p_2Pmean().

ncm_c_HI_Lyman_wl3_8pi_2s_2S0_5 ()

gdouble
ncm_c_HI_Lyman_wl3_8pi_2s_2S0_5 (void);

NIST compilation of atomic spectra see description.

Effective volume of the Lyman wavelength $V^\mathrm{Ly}_{2s\,{}^2\!S_{1/2}} = \left(\lambda_{2s\,{}^2\!S_{1/2}}^\mathrm{Ly}\right)^{3} / (8\pi)$, see ncm_c_HI_Lyman_wl_2s_2S0_5().

ncm_c_HI_Lyman_wl3_8pi_2p_2P0_5 ()

gdouble
ncm_c_HI_Lyman_wl3_8pi_2p_2P0_5 (void);

NIST compilation of atomic spectra see description.

Effective volume of the Lyman wavelength $V^\mathrm{Ly}_{2p\,{}^2\!P_{1/2}} = \left(\lambda_{2p\,{}^2\!P_{1/2}}^\mathrm{Ly}\right)^{3} / (8\pi)$, see ncm_c_HI_Lyman_wl_2p_2P0_5().

ncm_c_HI_Lyman_wl3_8pi_2p_2P3_5 ()

gdouble
ncm_c_HI_Lyman_wl3_8pi_2p_2P3_5 (void);

NIST compilation of atomic spectra see description.

Effective volume of the Lyman wavelength $V^\mathrm{Ly}_{2p\,{}^2\!P_{3/2}} = \left(\lambda_{2p\,{}^2\!P_{3/2}}^\mathrm{Ly}\right)^{3} / (8\pi)$, see ncm_c_HI_Lyman_wl_2p_2P3_5().

ncm_c_HI_Lyman_wl3_8pi_2p_2Pmean ()

gdouble
ncm_c_HI_Lyman_wl3_8pi_2p_2Pmean (void);

NIST compilation of atomic spectra see description.

Effective volume of the Lyman wavelength $V^\mathrm{Ly}_{2p\,{}^2\!P_\mathrm{mean}} = \left(\lambda_{2p\,{}^2\!P_\mathrm{mean}}^\mathrm{Ly}\right)^{3} / (8\pi)$, see ncm_c_HI_Lyman_wl_2p_2Pmean().

ncm_c_boltzmann_factor_HI_1s_2S0_5 ()

gdouble
ncm_c_boltzmann_factor_HI_1s_2S0_5 (const gdouble T);

NIST compilation of atomic spectra see description.

Calculates the Boltzmann factor $B_{1s\,{}^2\!S_{1/2}}(T) = k_\mathrm{e}^3 T^{-3/2}\,\exp\left[-E_{1s\,{}^2\!S_{1/2}} / (k_\mathrm{B}T)\right]$, for the $1s\,{}^2\!S_{1/2}$ hydrogen energy level, see ncm_c_HI_ion_E_1s_2S0_5() and ncm_c_thermal_wn_e().

ncm_c_boltzmann_factor_HI_2s_2S0_5 ()

gdouble
ncm_c_boltzmann_factor_HI_2s_2S0_5 (const gdouble T);

NIST compilation of atomic spectra see description.

Calculates the Boltzmann factor $B_{2s\,{}^2\!S_{1/2}}(T) = k_\mathrm{e}^3 T^{-3/2}\,\exp\left[-E_{2s\,{}^2\!S_{1/2}} / (k_\mathrm{B}T)\right]$, for the $2s\,{}^2\!S_{1/2}$ hydrogen energy level, see ncm_c_HI_ion_E_2s_2S0_5() and ncm_c_thermal_wn_e().

ncm_c_boltzmann_factor_HI_2p_2P0_5 ()

gdouble
ncm_c_boltzmann_factor_HI_2p_2P0_5 (const gdouble T);

NIST compilation of atomic spectra see description.

Calculates the Boltzmann factor $B_{2p\,{}^2\!P_{1/2}}(T) = k_\mathrm{e}^3 T^{-3/2}\,\exp\left[-E_{2p\,{}^2\!P_{1/2}} / (k_\mathrm{B}T)\right]$, for the $2p\,{}^2\!P_{1/2}$ hydrogen energy level, see ncm_c_HI_ion_E_2p_2P0_5() and ncm_c_thermal_wn_e().

ncm_c_boltzmann_factor_HI_2p_2P3_5 ()

gdouble
ncm_c_boltzmann_factor_HI_2p_2P3_5 (const gdouble T);

NIST compilation of atomic spectra see description.

Calculates the Boltzmann factor $B_{2p\,{}^2\!P_{3/2}}(T) = k_\mathrm{e}^3 T^{-3/2}\,\exp\left[-E_{2p\,{}^2\!P_{3/2}} / (k_\mathrm{B}T)\right]$, for the $2p\,{}^2\!P_{3/2}$ hydrogen energy level, see ncm_c_HI_ion_E_2p_2P3_5() and ncm_c_thermal_wn_e().

ncm_c_boltzmann_factor_HI_2p_2Pmean ()

gdouble
ncm_c_boltzmann_factor_HI_2p_2Pmean (const gdouble T);

NIST compilation of atomic spectra see description.

Calculates the Boltzmann factor $B_{2p\,{}^2\!P_\mathrm{mean}}(T) = k_\mathrm{e}^3 T^{-3/2}\,\exp\left[-E_{2p\,{}^2\!P_\mathrm{mean}} / (k_\mathrm{B}T)\right]$, for the $2p\,{}^2\!P_\mathrm{mean}$ hydrogen energy level, see ncm_c_HI_ion_E_2p_2Pmean() and ncm_c_thermal_wn_e().

ncm_c_HeI_ion_wn_1s_1S0 ()

gdouble
ncm_c_HeI_ion_wn_1s_1S0 (void);

NIST compilation of atomic spectra see description.

Ionization energy wavenumber for He-I $1s\,{}^1\!S_{0}$ state, i.e., $k_{1s\,{}^1\!S_{0}}$.

ncm_c_HeI_ion_wn_2s_1S0 ()

gdouble
ncm_c_HeI_ion_wn_2s_1S0 (void);

NIST compilation of atomic spectra see description.

Ionization energy wavenumber for He-I $2s\,{}^1\!S_{0}$ state calculated from the difference between the first state and the corresponding Lyman wavenumber, i.e., $k_{2s\,{}^1\!S_{0}} = k_{1s\,{}^1\!S_{0}} - k_{2s\,{}^1\!S_{0}}^\mathrm{Ly}$, see ncm_c_HeI_Lyman_wn_2s_1S0().

ncm_c_HeI_ion_wn_2s_3S1 ()

gdouble
ncm_c_HeI_ion_wn_2s_3S1 (void);

NIST compilation of atomic spectra see description.

Ionization energy wavenumber for He-I $2s\,{}^3\!S_{1}$ state calculated from the difference between the first state and the corresponding Lyman wavenumber, i.e., $k_{2s\,{}^3\!S_{1}} = k_{1s\,{}^1\!S_{0}} - k_{2s\,{}^3\!S_{1}}^\mathrm{Ly}$, see ncm_c_HeI_Lyman_wn_2s_3S1().

ncm_c_HeI_ion_wn_2p_1P1 ()

gdouble
ncm_c_HeI_ion_wn_2p_1P1 (void);

NIST compilation of atomic spectra see description.

Ionization energy wavenumber for He-I $2p\,{}^1\!P_{1}$ state calculated from the difference between the first state and the corresponding Lyman wavenumber, i.e., $k_{2p\,{}^1\!P_{1}} = k_{1s\,{}^1\!S_{0}} - k_{2p\,{}^1\!P_{1}}^\mathrm{Ly}$, see ncm_c_HeI_Lyman_wn_2p_1P1().

ncm_c_HeI_ion_wn_2p_3P0 ()

gdouble
ncm_c_HeI_ion_wn_2p_3P0 (void);

NIST compilation of atomic spectra see description.

Ionization energy wavenumber for He-I $2p\,{}^3\!P_{0}$ state calculated from the difference between the first state and the corresponding Lyman wavenumber, i.e., $k_{2p\,{}^3\!P_{0}} = k_{1s\,{}^1\!S_{0}} - k_{2p\,{}^3\!P_{0}}^\mathrm{Ly}$, see ncm_c_HeI_Lyman_wn_2p_3P0().

ncm_c_HeI_ion_wn_2p_3P1 ()

gdouble
ncm_c_HeI_ion_wn_2p_3P1 (void);

NIST compilation of atomic spectra see description.

Ionization energy wavenumber for He-I $2p\,{}^3\!P_{1}$ state calculated from the difference between the first state and the corresponding Lyman wavenumber, i.e., $k_{2p\,{}^3\!P_{1}} = k_{1s\,{}^1\!S_{0}} - k_{2p\,{}^3\!P_{1}}^\mathrm{Ly}$, see ncm_c_HeI_Lyman_wn_2p_3P1().

ncm_c_HeI_ion_wn_2p_3P2 ()

gdouble
ncm_c_HeI_ion_wn_2p_3P2 (void);

NIST compilation of atomic spectra see description.

Ionization energy wavenumber for He-I $2p\,{}^3\!P_{2}$ state calculated from the difference between the first state and the corresponding Lyman wavenumber, i.e., $k_{2p\,{}^3\!P_{2}} = k_{1s\,{}^1\!S_{0}} - k_{2p\,{}^3\!P_{2}}^\mathrm{Ly}$, see ncm_c_HeI_Lyman_wn_2p_3P2().

ncm_c_HeI_ion_wn_2p_3Pmean ()

gdouble
ncm_c_HeI_ion_wn_2p_3Pmean (void);

NIST compilation of atomic spectra see description.

Ionization energy wavenumber for He-I $2p\,{}^3\!P_\mathrm{mean}$ state calculated from the difference between the first state and the corresponding Lyman wavenumber, i.e., $k_{2p\,{}^3\!P_{0}} = k_{1s\,{}^1\!S_{0}} - k_{2p\,{}^3\!P_\mathrm{mean}}^\mathrm{Ly}$, see ncm_c_HeI_Lyman_wn_2p_3Pmean().

ncm_c_HeI_ion_E_1s_1S0 ()

gdouble
ncm_c_HeI_ion_E_1s_1S0 (void);

NIST compilation of atomic spectra see description.

Ionization energy calculated from the wavenumber $k_{1s\,{}^1\!S_{0}}$, see ncm_c_HeI_ion_wn_1s_1S0().

ncm_c_HeI_ion_E_2s_1S0 ()

gdouble
ncm_c_HeI_ion_E_2s_1S0 (void);

NIST compilation of atomic spectra see description.

Ionization energy calculated from the wavenumber $k_{2s\,{}^1\!S_{0}}$, see ncm_c_HeI_ion_wn_2s_1S0().

ncm_c_HeI_ion_E_2s_3S1 ()

gdouble
ncm_c_HeI_ion_E_2s_3S1 (void);

NIST compilation of atomic spectra see description.

Ionization energy calculated from the wavenumber $k_{2s\,{}^3\!S_{1}}$, see ncm_c_HeI_ion_wn_2s_3S1().

ncm_c_HeI_ion_E_2p_1P1 ()

gdouble
ncm_c_HeI_ion_E_2p_1P1 (void);

NIST compilation of atomic spectra see description.

Ionization energy calculated from the wavenumber $k_{2p\,{}^1\!P_{1}}$, see ncm_c_HeI_ion_wn_2p_1P1().

ncm_c_HeI_ion_E_2p_3P0 ()

gdouble
ncm_c_HeI_ion_E_2p_3P0 (void);

NIST compilation of atomic spectra see description.

Ionization energy calculated from the wavenumber $k_{2p\,{}^3\!P_{0}}$, see ncm_c_HeI_ion_wn_2p_3P0().

ncm_c_HeI_ion_E_2p_3P1 ()

gdouble
ncm_c_HeI_ion_E_2p_3P1 (void);

NIST compilation of atomic spectra see description.

Ionization energy calculated from the wavenumber $k_{2p\,{}^3\!P_{1}}$, see ncm_c_HeI_ion_wn_2p_3P1().

ncm_c_HeI_ion_E_2p_3P2 ()

gdouble
ncm_c_HeI_ion_E_2p_3P2 (void);

NIST compilation of atomic spectra see description.

Ionization energy calculated from the wavenumber $k_{2p\,{}^3\!P_{2}}$, see ncm_c_HeI_ion_wn_2p_3P2().

ncm_c_HeI_ion_E_2p_3Pmean ()

gdouble
ncm_c_HeI_ion_E_2p_3Pmean (void);

NIST compilation of atomic spectra see description.

Ionization energy calculated from the wavenumber $k_{2p\,{}^3\!P_\mathrm{mean}}$, see ncm_c_HeI_ion_wn_2p_3Pmean().

ncm_c_HeI_Lyman_wn_2s_1S0 ()

gdouble
ncm_c_HeI_Lyman_wn_2s_1S0 (void);

NIST compilation of atomic spectra see description.

Lyman emission wavenumber for the $2s\,{}^1\!S_{0} \to 1s\,{}^1\!S_{0}$ transition $k_{2s\,{}^1\!S_{0}}^\mathrm{Ly}$.

ncm_c_HeI_Lyman_wn_2s_3S1 ()

gdouble
ncm_c_HeI_Lyman_wn_2s_3S1 (void);

NIST compilation of atomic spectra see description.

Lyman emission wavenumber for the $2s\,{}^3\!S_{1} \to 1s\,{}^1\!S_{0}$ transition $k_{2s\,{}^3\!S_{1}}^\mathrm{Ly}$.

ncm_c_HeI_Lyman_wn_2p_1P1 ()

gdouble
ncm_c_HeI_Lyman_wn_2p_1P1 (void);

NIST compilation of atomic spectra see description.

Lyman emission wavenumber for the $2p\,{}^1\!P_{1} \to 1s\,{}^1\!S_{0}$ transition $k_{2p\,{}^1\!P_{1}}^\mathrm{Ly}$.

ncm_c_HeI_Lyman_wn_2p_3P0 ()

gdouble
ncm_c_HeI_Lyman_wn_2p_3P0 (void);

NIST compilation of atomic spectra see description.

Lyman emission wavenumber for the $2p\,{}^3\!P_{0} \to 1s\,{}^1\!S_{0}$ transition $k_{2p\,{}^3\!P_{0}}^\mathrm{Ly}$.

ncm_c_HeI_Lyman_wn_2p_3P1 ()

gdouble
ncm_c_HeI_Lyman_wn_2p_3P1 (void);

NIST compilation of atomic spectra see description.

Lyman emission wavenumber for the $2p\,{}^3\!P_{1} \to 1s\,{}^1\!S_{0}$ transition $k_{2p\,{}^3\!P_{1}}^\mathrm{Ly}$.

ncm_c_HeI_Lyman_wn_2p_3P2 ()

gdouble
ncm_c_HeI_Lyman_wn_2p_3P2 (void);

NIST compilation of atomic spectra see description.

Lyman emission wavenumber for the $2p\,{}^3\!P_{2} \to 1s\,{}^1\!S_{0}$ transition $k_{2p\,{}^3\!P_{2}}^\mathrm{Ly}$.

ncm_c_HeI_Lyman_wn_2p_3Pmean ()

gdouble
ncm_c_HeI_Lyman_wn_2p_3Pmean (void);

NIST compilation of atomic spectra see description.

Mean Lyman emission wavenumber for the $2p\,{}^3\!P_{*}$, i.e., $k_{2p\,{}^3\!P_\mathrm{mean}}^\mathrm{Ly} = \left(k_{2p\,{}^3\!P_{0}}^\mathrm{Ly} + k_{2p\,{}^3\!P_{1}}^\mathrm{Ly} + k_{2p\,{}^3\!P_{2}}^\mathrm{Ly}\right) / 3$. See ncm_c_HeI_Lyman_wn_2p_3P0(), ncm_c_HeI_Lyman_wn_2p_3P1() and ncm_c_HeI_Lyman_wn_2p_3P2().

ncm_c_HeI_Lyman_wl_2s_1S0 ()

gdouble
ncm_c_HeI_Lyman_wl_2s_1S0 (void);

NIST compilation of atomic spectra see description.

Wavelength for the $2s\,{}^1\!S_{0} \to 1s\,{}^1\!S_{0}$ transition $\lambda_{2s\,{}^1\!S_{0}}^\mathrm{Ly} = \left(k_{2s\,{}^1\!S_{0}}^\mathrm{Ly}\right)^{-1}$, see ncm_c_HeI_Lyman_wn_2s_1S0().

ncm_c_HeI_Lyman_wl_2s_3S1 ()

gdouble
ncm_c_HeI_Lyman_wl_2s_3S1 (void);

NIST compilation of atomic spectra see description.

Wavelength for the $2s\,{}^3\!S_{1} \to 1s\,{}^1\!S_{0}$ transition $\lambda_{2s\,{}^3\!S_{1}}^\mathrm{Ly} = \left(k_{2s\,{}^3\!S_{1}}^\mathrm{Ly}\right)^{-1}$, see ncm_c_HeI_Lyman_wn_2s_3S1().

ncm_c_HeI_Lyman_wl_2p_1P1 ()

gdouble
ncm_c_HeI_Lyman_wl_2p_1P1 (void);

NIST compilation of atomic spectra see description.

Wavelength for the $2p\,{}^1\!P_{1} \to 1s\,{}^1\!S_{0}$ transition $\lambda_{2p\,{}^1\!P_{1}}^\mathrm{Ly} = \left(k_{2p\,{}^1\!P_{1}}^\mathrm{Ly}\right)^{-1}$, see ncm_c_HeI_Lyman_wn_2p_1P1().

ncm_c_HeI_Lyman_wl_2p_3P0 ()

gdouble
ncm_c_HeI_Lyman_wl_2p_3P0 (void);

NIST compilation of atomic spectra see description.

Wavelength for the $2p\,{}^3\!P_{0} \to 1s\,{}^1\!S_{0}$ transition $\lambda_{2p\,{}^3\!P_{0}}^\mathrm{Ly} = \left(k_{2p\,{}^3\!P_{0}}^\mathrm{Ly}\right)^{-1}$, see ncm_c_HeI_Lyman_wn_2p_3P0().

ncm_c_HeI_Lyman_wl_2p_3P1 ()

gdouble
ncm_c_HeI_Lyman_wl_2p_3P1 (void);

NIST compilation of atomic spectra see description.

Wavelength for the $2p\,{}^3\!P_{1} \to 1s\,{}^1\!S_{0}$ transition $\lambda_{2p\,{}^3\!P_{1}}^\mathrm{Ly} = \left(k_{2p\,{}^3\!P_{1}}^\mathrm{Ly}\right)^{-1}$, see ncm_c_HeI_Lyman_wn_2p_3P1().

ncm_c_HeI_Lyman_wl_2p_3P2 ()

gdouble
ncm_c_HeI_Lyman_wl_2p_3P2 (void);

NIST compilation of atomic spectra see description.

Wavelength for the $2p\,{}^3\!P_{2} \to 1s\,{}^1\!S_{0}$ transition $\lambda_{2p\,{}^3\!P_{2}}^\mathrm{Ly} = \left(k_{2p\,{}^3\!P_{2}}^\mathrm{Ly}\right)^{-1}$, see ncm_c_HeI_Lyman_wn_2p_3P2().

ncm_c_HeI_Lyman_wl_2p_3Pmean ()

gdouble
ncm_c_HeI_Lyman_wl_2p_3Pmean (void);

NIST compilation of atomic spectra see description.

Wavelength for the $2p\,{}^3\!P_\mathrm{mean} \to 1s\,{}^1\!S_{0}$ transition $\lambda_{2p\,{}^3\!P_\mathrm{mean}}^\mathrm{Ly} = \left(k_{2p\,{}^3\!P_\mathrm{mean}}^\mathrm{Ly}\right)^{-1}$, see ncm_c_HeI_Lyman_wn_2p_3Pmean().

ncm_c_HeI_Lyman_wl3_8pi_2s_1S0 ()

gdouble
ncm_c_HeI_Lyman_wl3_8pi_2s_1S0 (void);

NIST compilation of atomic spectra see description.

Effective volume of the Lyman wavelength $V^\mathrm{Ly}_{2s\,{}^1\!S_{0}} = \left(\lambda_{2s\,{}^1\!S_{0}}^\mathrm{Ly}\right)^{3} / (8\pi)$, see ncm_c_HeI_Lyman_wl_2s_1S0().

ncm_c_HeI_Lyman_wl3_8pi_2s_3S1 ()

gdouble
ncm_c_HeI_Lyman_wl3_8pi_2s_3S1 (void);

NIST compilation of atomic spectra see description.

Effective volume of the Lyman wavelength $V^\mathrm{Ly}_{2s\,{}^3\!S_{1}} = \left(\lambda_{2s\,{}^3\!S_{1}}^\mathrm{Ly}\right)^{3} / (8\pi)$, see ncm_c_HeI_Lyman_wl_2s_3S1().

ncm_c_HeI_Lyman_wl3_8pi_2p_1P1 ()

gdouble
ncm_c_HeI_Lyman_wl3_8pi_2p_1P1 (void);

NIST compilation of atomic spectra see description.

Effective volume of the Lyman wavelength $V^\mathrm{Ly}_{2p\,{}^1\!P_{1}} = \left(\lambda_{2p\,{}^1\!P_{1}}^\mathrm{Ly}\right)^{3} / (8\pi)$, see ncm_c_HeI_Lyman_wl_2p_1P1().

ncm_c_HeI_Lyman_wl3_8pi_2p_3P0 ()

gdouble
ncm_c_HeI_Lyman_wl3_8pi_2p_3P0 (void);

NIST compilation of atomic spectra see description.

Effective volume of the Lyman wavelength $V^\mathrm{Ly}_{2p\,{}^3\!P_{0}} = \left(\lambda_{2p\,{}^3\!P_{0}}^\mathrm{Ly}\right)^{3} / (8\pi)$, see ncm_c_HeI_Lyman_wl_2p_3P0().

ncm_c_HeI_Lyman_wl3_8pi_2p_3P1 ()

gdouble
ncm_c_HeI_Lyman_wl3_8pi_2p_3P1 (void);

NIST compilation of atomic spectra see description.

Effective volume of the Lyman wavelength $V^\mathrm{Ly}_{2p\,{}^3\!P_{1}} = \left(\lambda_{2p\,{}^3\!P_{1}}^\mathrm{Ly}\right)^{3} / (8\pi)$, see ncm_c_HeI_Lyman_wl_2p_3P1().

ncm_c_HeI_Lyman_wl3_8pi_2p_3P2 ()

gdouble
ncm_c_HeI_Lyman_wl3_8pi_2p_3P2 (void);

NIST compilation of atomic spectra see description.

Effective volume of the Lyman wavelength $V^\mathrm{Ly}_{2p\,{}^3\!P_{2}} = \left(\lambda_{2p\,{}^3\!P_{2}}^\mathrm{Ly}\right)^{3} / (8\pi)$, see ncm_c_HeI_Lyman_wl_2p_3P2().

ncm_c_HeI_Lyman_wl3_8pi_2p_3Pmean ()

gdouble
ncm_c_HeI_Lyman_wl3_8pi_2p_3Pmean (void);

NIST compilation of atomic spectra see description.

Effective volume of the Lyman wavelength $V^\mathrm{Ly}_{2p\,{}^3\!P_\mathrm{mean}} = \left(\lambda_{2p\,{}^3\!P_\mathrm{mean}}^\mathrm{Ly}\right)^{3} / (8\pi)$, see ncm_c_HeI_Lyman_wl_2p_3Pmean().

ncm_c_boltzmann_factor_HeI_1s_1S0 ()

gdouble
ncm_c_boltzmann_factor_HeI_1s_1S0 (const gdouble T);

NIST compilation of atomic spectra see description.

Calculates the Boltzmann factor $B_{1s\,{}^1\!S_{0}}(T) = k_\mathrm{e}^3 T^{-3/2}\,\exp\left[-E_{1s\,{}^1\!S_{0}} / (k_\mathrm{B}T)\right]$, for the $1s\,{}^1\!S_{0}$ helium energy level, see ncm_c_HeI_ion_E_1s_1S0() and ncm_c_thermal_wn_e().

ncm_c_boltzmann_factor_HeI_2s_1S0 ()

gdouble
ncm_c_boltzmann_factor_HeI_2s_1S0 (const gdouble T);

NIST compilation of atomic spectra see description.

Calculates the Boltzmann factor $B_{2s\,{}^1\!S_{0}}(T) = k_\mathrm{e}^3 T^{-3/2}\,\exp\left[-E_{2s\,{}^1\!S_{0}} / (k_\mathrm{B}T)\right]$, for the $2s\,{}^1\!S_{0}$ helium energy level, see ncm_c_HeI_ion_E_2s_1S0() and ncm_c_thermal_wn_e().

ncm_c_boltzmann_factor_HeI_2s_3S1 ()

gdouble
ncm_c_boltzmann_factor_HeI_2s_3S1 (const gdouble T);

NIST compilation of atomic spectra see description.

Calculates the Boltzmann factor $B_{2s\,{}^3\!S_{1}}(T) = k_\mathrm{e}^3 T^{-3/2}\,\exp\left[-E_{2s\,{}^3\!S_{1}} / (k_\mathrm{B}T)\right]$, for the $2s\,{}^3\!S_{1}$ helium energy level, see ncm_c_HeI_ion_E_2s_3S1() and ncm_c_thermal_wn_e().

ncm_c_boltzmann_factor_HeI_2p_1P1 ()

gdouble
ncm_c_boltzmann_factor_HeI_2p_1P1 (const gdouble T);

NIST compilation of atomic spectra see description.

Calculates the Boltzmann factor $B_{2p\,{}^1\!P_{1}}(T) = k_\mathrm{e}^3 T^{-3/2}\,\exp\left[-E_{2p\,{}^1\!P_{1}} / (k_\mathrm{B}T)\right]$, for the $2p\,{}^1\!P_{1}$ helium energy level, see ncm_c_HeI_ion_E_2p_1P1() and ncm_c_thermal_wn_e().

ncm_c_boltzmann_factor_HeI_2p_3P0 ()

gdouble
ncm_c_boltzmann_factor_HeI_2p_3P0 (const gdouble T);

NIST compilation of atomic spectra see description.

Calculates the Boltzmann factor $B_{2p\,{}^3\!P_{0}}(T) = k_\mathrm{e}^3 T^{-3/2}\,\exp\left[-E_{2p\,{}^3\!P_{0}} / (k_\mathrm{B}T)\right]$, for the $2p\,{}^3\!P_{0}$ helium energy level, see ncm_c_HeI_ion_E_2p_3P0() and ncm_c_thermal_wn_e().

ncm_c_boltzmann_factor_HeI_2p_3P1 ()

gdouble
ncm_c_boltzmann_factor_HeI_2p_3P1 (const gdouble T);

NIST compilation of atomic spectra see description.

Calculates the Boltzmann factor $B_{2p\,{}^3\!P_{1}}(T) = k_\mathrm{e}^3 T^{-3/2}\,\exp\left[-E_{2p\,{}^3\!P_{1}} / (k_\mathrm{B}T)\right]$, for the $2p\,{}^3\!P_{1}$ helium energy level, see ncm_c_HeI_ion_E_2p_3P1() and ncm_c_thermal_wn_e().

ncm_c_boltzmann_factor_HeI_2p_3P2 ()

gdouble
ncm_c_boltzmann_factor_HeI_2p_3P2 (const gdouble T);

NIST compilation of atomic spectra see description.

Calculates the Boltzmann factor $B_{2p\,{}^3\!P_{2}}(T) = k_\mathrm{e}^3 T^{-3/2}\,\exp\left[-E_{2p\,{}^3\!P_{2}} / (k_\mathrm{B}T)\right]$, for the $2p\,{}^3\!P_{2}$ helium energy level, see ncm_c_HeI_ion_E_2p_3P2() and ncm_c_thermal_wn_e().

ncm_c_boltzmann_factor_HeI_2p_3Pmean ()

gdouble
ncm_c_boltzmann_factor_HeI_2p_3Pmean (const gdouble T);

NIST compilation of atomic spectra see description.

Calculates the Boltzmann factor $B_{2p\,{}^3\!P_\mathrm{mean}}(T) = k_\mathrm{e}^3 T^{-3/2}\,\exp\left[-E_{2p\,{}^3\!P_\mathrm{mean}} / (k_\mathrm{B}T)\right]$, for the $2p\,{}^3\!P_\mathrm{mean}$ helium energy level, see ncm_c_HeI_ion_E_2p_3Pmean() and ncm_c_thermal_wn_e().

ncm_c_HeI_Balmer_wn_2p_1P1_2s_1S0 ()

gdouble
ncm_c_HeI_Balmer_wn_2p_1P1_2s_1S0 (void);

NIST compilation of atomic spectra see description.

Balmer emission wavenumber for the $2p\,{}^1\!P_{1} \to 2s\,{}^1\!S_{0}$ transition $k_{2p\,{}^1\!P_{1}}^{2s\,{}^1\!S_{0}}$, calculated from the difference between the Lyman lines $2s\,{}^1\!S_{0}$ state and the corresponding Lyman wavenumber, i.e., $k_{2p\,{}^1\!P_{1}}^{2s\,{}^1\!S_{0}} = k_{2p\,{}^1\!P_{1}}^\mathrm{Ly} - k_{2s\,{}^1\!S_{0}}^\mathrm{Ly}$.

ncm_c_HeI_Balmer_wn_2p_3Pmean_2s_3S1 ()

gdouble
ncm_c_HeI_Balmer_wn_2p_3Pmean_2s_3S1 (void);

NIST compilation of atomic spectra see description.

Balmer emission wavenumber for the $2p\,{}^3\!P_\mathrm{mean} \to 2s\,{}^3\!S_{1}$ transition $k_{2p\,{}^3\!P_\mathrm{mean}}^{2s\,{}^3\!S_{1}}$, calculated from the difference between the Lyman lines $2s\,{}^1\!S_{0}$ state and the corresponding Lyman wavenumber, i.e., $k_{2p\,{}^3\!P_\mathrm{mean}}^{2s\,{}^3\!S_{1}} = k_{2p\,{}^3\!P_\mathrm{mean}}^\mathrm{Ly} - k_{2s\,{}^3\!S_{1}}^\mathrm{Ly}$.

ncm_c_HeI_Balmer_E_kb_2p_1P1_2s_1S0 ()

gdouble
ncm_c_HeI_Balmer_E_kb_2p_1P1_2s_1S0 (void);

NIST compilation of atomic spectra see description.

Balmer emission energy $E_{2p\,{}^1\!P_{1}}^{2s\,{}^1\!S_{0}} = hc\times{}k_{2p\,{}^1\!P_{1}}^{2s\,{}^1\!S_{0}}$ over $k_\mathrm{B}$.

ncm_c_HeI_Balmer_E_kb_2p_3Pmean_2s_3S1 ()

gdouble
ncm_c_HeI_Balmer_E_kb_2p_3Pmean_2s_3S1
                               (void);

NIST compilation of atomic spectra see description.

Balmer emission energy $E_{2p\,{}^3\!P_\mathrm{mean}}^{2s\,{}^3\!S_{1}} = hc\times{}k_{2p\,{}^3\!P_\mathrm{mean}}^{2s\,{}^3\!S_{1}}$ over $k_\mathrm{B}$.

ncm_c_HeII_ion_wn_1s_2S0_5 ()

gdouble
ncm_c_HeII_ion_wn_1s_2S0_5 (void);

NIST compilation of atomic spectra see description.

Ionization energy wavenumber for He-II $1s\,{}^2\!S_{1/2}$ state, i.e., $k_{1s\,{}^2\!S_{1/2}}$.

ncm_c_HeII_ion_E_1s_2S0_5 ()

gdouble
ncm_c_HeII_ion_E_1s_2S0_5 (void);

Ionization energy for He-II $1s\,{}^2\!S_{1/2}$ state, i.e., $E_{1s\,{}^2\!S_{1/2}} = hc \times k_{1s\,{}^2\!S_{1/2}}$.

ncm_c_decay_H_rate_2s_1s ()

gdouble
ncm_c_decay_H_rate_2s_1s (void);

Theoretical value for the two photons decay rate for Hydrogen $2\mathrm{s} \to 1\mathrm{s}$ states Goldman 1989.

ncm_c_decay_He_rate_2s_1s ()

gdouble
ncm_c_decay_He_rate_2s_1s (void);

Theoretical value for the two photons decay rate for Helium $2\mathrm{s} \to 1\mathrm{s}$ states Drake 1969.

ncm_c_stats_1sigma ()

double
ncm_c_stats_1sigma (void);

The integral of a Gaussian distribution with mean $\mu$ and standard deviation $\sigma$ in $(\mu - 1 \sigma, \mu + 1 \sigma)$.

ncm_c_stats_2sigma ()

double
ncm_c_stats_2sigma (void);

The integral of a Gaussian distribution with mean $\mu$ and standard deviation $\sigma$ in $(\mu - 2 \sigma, \mu + 2 \sigma)$.

ncm_c_stats_3sigma ()

double
ncm_c_stats_3sigma (void);

The integral of a Gaussian distribution with mean $\mu$ and standard deviation sigma in $(\mu - 3 \sigma, \mu + 3 \sigma)$.

ncm_c_hubble_cte_planck6_base ()

gdouble
ncm_c_hubble_cte_planck6_base (void);

Planck VI Hubble constant base-$\Lambda$CDM model TT,TE,EE$+$lowE$+$lensing final result. See Planck Collaboration (2018) [arXiv].

ncm_c_hubble_cte_hst ()

gdouble
ncm_c_hubble_cte_hst (void);

HST Hubble constant final result. See Freedman (2001) [arXiv].

ncm_c_hubble_radius_hm1_Mpc ()

gdouble
ncm_c_hubble_radius_hm1_Mpc (void);

Hubble radius in units of $\mathsf{h}^{-1} \, \text{Mpc}$ defined as \begin{equation} R_H h^{-1} = \frac{c}{100 \mathsf{h} \, \text{km} \, \text{sec}^{-1} \, \text{Mpc}^{-1}} \, , \end{equation} where $c$ is the speed of light (ncm_c_c()). Calculated using ncm_c_c() $/$ $10^{5}$.

ncm_c_hubble_radius_hm1_planck ()

gdouble
ncm_c_hubble_radius_hm1_planck (void);

Hubble radius in units of $\mathsf{h}^{-1} \, l_{\text{p}}$. Calculated using ncm_c_hubble_radius_hm1_Mpc() $\times$ ncm_c_Mpc() $/$ ncm_c_planck_length().

ncm_c_crit_density_h2 ()

gdouble
ncm_c_crit_density_h2 (void);

The critical density is defined as \begin{equation} \rho_{\mathrm{crit}0} = \frac{3 c^2 H_0^2}{8\pi G}, \end{equation} where $G$ is the gravitational constant (ncm_c_G()), $c$ is the speed of light (ncm_c_c()) and $H_0$ is the Hubble parameter, $$H_0 = 100 \times \mathsf{h} \,\left[\text{km}\,\text{s}^{-1}\,\text{Mpc}^{-1}\right].$$

ncm_c_crit_mass_density_h2 ()

gdouble
ncm_c_crit_mass_density_h2 (void);

This function computes the critical mass density over $\mathsf{h}^2 \times c^2$.

ncm_c_crit_mass_density_h2_solar_mass_Mpc3 ()

gdouble
ncm_c_crit_mass_density_h2_solar_mass_Mpc3
                               (void);

This function computes the critical mass density in units of solar mass $M_\odot$ and Mpc.

ncm_c_crit_number_density_p ()

gdouble
ncm_c_crit_number_density_p (void);

This function computes the proton number density in units of its rest energy. Calculated using ncm_c_crit_density_h2() $/$ ncm_c_rest_energy_p().

ncm_c_crit_number_density_n ()

gdouble
ncm_c_crit_number_density_n (void);

This function computes the neutron number density in units of its rest energy. Calculated using ncm_c_crit_density_h2() $/$ ncm_c_rest_energy_n().

ncm_c_blackbody_energy_density ()

gdouble
ncm_c_blackbody_energy_density (void);

This functions returns the black body energy density divided by $T^4$. Defined as \begin{equation} \frac{\rho_{\text{BL}}}{T^4} = \frac{8\pi^2k_{\text{b}}^4}{15 \left( hc \right)^3}, \end{equation} where $\rho_{\text{BL}}$ is the black body energy density, $T$ is the temperature, $k_{\text{b}}$ is the Boltzmann constant (ncm_c_kb()), $h$ is the Planck constant (ncm_c_h()) and $c$ is the speed of light (ncm_c_c()).

ncm_c_blackbody_per_crit_density_h2 ()

gdouble
ncm_c_blackbody_per_crit_density_h2 (void);

This functions returns ncm_c_blackbody_energy_density() $/$ ncm_c_crit_density_h2().

ncm_c_radiation_temp_to_h2Omega_r0 ()

gdouble
ncm_c_radiation_temp_to_h2Omega_r0 (const gdouble T);

NCM_TYPE_C

#define NCM_TYPE_C (ncm_c_get_type ())

NcmC

typedef struct _NcmC NcmC;