mod_eos_pi_tables Module Reference

PI (partial-ionisation) ionisation-degree backend for the eos% family. More...

Functions/Subroutines
subroutine, public	ionization_degree_init (he_abundance, rfactor_norm, table_name, include_energy)
subroutine, public	ionization_degree_from_temperature (ixil, ixol, te, iz_h, iz_he)
	Array interface for T -> ionization degrees. Used by get_Rfactor_tonly_PI (mod_eos_pi) to build the no-energy chromosphere/flare R-factor block.
subroutine, public	ionization_get_state_scalar (rho, p, t, rfactor, iz_h, iz_he)
subroutine, public	ionization_state_tp (t, p, rfactor, iz_h, iz_he)
subroutine, public	ionization_solve_p_rfactor (rho, t, p, rfactor)
subroutine, public	ionization_get_state (ixil, ixol, rho, p, t, rfactor, iz_h, iz_he)
subroutine, public	ionization_state_from_temperature_scalar (t, rfactor, iz_h, iz_he)
logical function, public	ionization_is_temperature_only ()
subroutine, public	ionization_get_state_from_eint (rho, eint, invgam, t, p, rfactor, iz_h, iz_he)
subroutine, public	ionization_get_p_eint_from_rho_t (rho, t, invgam, p, eint, rfactor, iz_h, iz_he)
subroutine, public	ionization_get_csound2_t (t, invgam, csound2)

Detailed Description

PI (partial-ionisation) ionisation-degree backend for the eos% family.

The physics library behind mod_eos_pi (the eos_type='PI' adapter): given the thermodynamic state it returns the hydrogen/helium ionisation degrees, the R-factor (mean inverse molecular weight) and – in energy mode – the ionisation energy. Standalone: depends only on mod_global_parameters / mod_constants / mod_comm_lib, never on mod_eos*, so eos% -> ionisation is acyclic. The analogue for PI of mod_eos_lte_tables for LTE.

Three interchangeable tables (eospi_table), selected at init: chromosphere – T-only H I/H fraction, Carlsson & Leenaarts (2012, A&A 539 A39) flare – T-only H I/H fraction, Hong, Carlsson & Ding (2022, A&A 661 A77) prominence – (T,p) H ionisation, Heinzel et al. (2015, A&A 579 A16) + Gunar et al. (2025, A&A 699 A89); model A, side illumination, L=500 km. Hydrogen ionisation is tabulated (interpolated to a 4000-point fine grid); helium is a semi-analytic Saha-like fit. The R-factor is R = (1 + iz_H + A_He*(1 + iz_He*(1 + iz_He))) / Rfactor_norm, with Rfactor_norm = 2 + 3*A_He set by the adapter so R -> 1 at full ionisation under the FI code-unit normalisation. Energy mode folds 13.6 eV per ionised H into eint. The map Y(T) = R(T)*T = p/rho is monotonic, so (rho,p) -> T inverts by bisection (T-only) or pressure-bisection (prominence); energy mode inverts eint -> T by Newton.

Public API: ionization_degree_init (once, after units) + the state-query routines consumed by mod_eos_pi (get_state[_scalar], state_Tp, solve_p_Rfactor, get_state_from_eint, get_p_eint_from_rho_T, get_eps_derivative_T, get_csound2_T, the predicates and the legacy degree-from-temperature shim).

Function/Subroutine Documentation

ionization_degree_from_temperature()

subroutine, public mod_eos_pi_tables::ionization_degree_from_temperature	(	integer, intent(in)	ixi,
		integer, intent(in)	l,
		integer, intent(in)	ixo,
			l,
		double precision, dimension(ixi^s), intent(in)	te,
		double precision, dimension(ixo^s), intent(out)	iz_h,
		double precision, dimension(ixo^s), intent(out)	iz_he )

Array interface for T -> ionization degrees. Used by get_Rfactor_tonly_PI (mod_eos_pi) to build the no-energy chromosphere/flare R-factor block.

Definition at line 461 of file mod_eos_pi_tables.t.

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ionization_degree_init()

subroutine, public mod_eos_pi_tables::ionization_degree_init	(	double precision, intent(in)	he_abundance,
		double precision, intent(in)	rfactor_norm,
		character(len=*), intent(in), optional	table_name,
		logical, intent(in), optional	include_energy )

Definition at line 210 of file mod_eos_pi_tables.t.

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ionization_get_csound2_t()

subroutine, public mod_eos_pi_tables::ionization_get_csound2_t	(	double precision, intent(in)	t,
		double precision, intent(in)	invgam,
		double precision, intent(out)	csound2 )

Definition at line 1205 of file mod_eos_pi_tables.t.

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ionization_get_p_eint_from_rho_t()

subroutine, public mod_eos_pi_tables::ionization_get_p_eint_from_rho_t	(	double precision, intent(in)	rho,
		double precision, intent(in)	t,
		double precision, intent(in)	invgam,
		double precision, intent(out)	p,
		double precision, intent(out)	eint,
		double precision, intent(out)	rfactor,
		double precision, intent(out), optional	iz_h,
		double precision, intent(out), optional	iz_he )

Definition at line 1127 of file mod_eos_pi_tables.t.

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ionization_get_state()

subroutine, public mod_eos_pi_tables::ionization_get_state	(	integer, intent(in)	ixi,
		integer, intent(in)	l,
		integer, intent(in)	ixo,
			l,
		double precision, dimension(ixi^s), intent(in)	rho,
		double precision, dimension(ixi^s), intent(in)	p,
		double precision, dimension(ixi^s), intent(out)	t,
		double precision, dimension(ixi^s), intent(out)	rfactor,
		double precision, dimension(ixi^s), intent(out), optional	iz_h,
		double precision, dimension(ixi^s), intent(out), optional	iz_he )

Definition at line 715 of file mod_eos_pi_tables.t.

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ionization_get_state_from_eint()

subroutine, public mod_eos_pi_tables::ionization_get_state_from_eint	(	double precision, intent(in)	rho,
		double precision, intent(in)	eint,
		double precision, intent(in)	invgam,
		double precision, intent(out)	t,
		double precision, intent(out)	p,
		double precision, intent(out)	rfactor,
		double precision, intent(out), optional	iz_h,
		double precision, intent(out), optional	iz_he )

Definition at line 1105 of file mod_eos_pi_tables.t.

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ionization_get_state_scalar()

subroutine, public mod_eos_pi_tables::ionization_get_state_scalar	(	double precision, intent(in)	rho,
		double precision, intent(in)	p,
		double precision, intent(out)	t,
		double precision, intent(out)	rfactor,
		double precision, intent(out), optional	iz_h,
		double precision, intent(out), optional	iz_he )

Definition at line 557 of file mod_eos_pi_tables.t.

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ionization_is_temperature_only()

logical function, public mod_eos_pi_tables::ionization_is_temperature_only

Definition at line 985 of file mod_eos_pi_tables.t.

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ionization_solve_p_rfactor()

subroutine, public mod_eos_pi_tables::ionization_solve_p_rfactor	(	double precision, intent(in)	rho,
		double precision, intent(in)	t,
		double precision, intent(out)	p,
		double precision, intent(out)	rfactor )

Definition at line 647 of file mod_eos_pi_tables.t.

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ionization_state_from_temperature_scalar()

subroutine, public mod_eos_pi_tables::ionization_state_from_temperature_scalar	(	double precision, intent(in)	t,
		double precision, intent(out)	rfactor,
		double precision, intent(out), optional	iz_h,
		double precision, intent(out), optional	iz_he )

Definition at line 796 of file mod_eos_pi_tables.t.

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ionization_state_tp()

subroutine, public mod_eos_pi_tables::ionization_state_tp	(	double precision, intent(in)	t,
		double precision, intent(in)	p,
		double precision, intent(out)	rfactor,
		double precision, intent(out), optional	iz_h,
		double precision, intent(out), optional	iz_he )

Definition at line 614 of file mod_eos_pi_tables.t.

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