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https://github.com/equib/pyequib

pyEQUIB - Python Package for Plasma Diagnostics and Abundance Analysis
https://github.com/equib/pyequib

atomic-level-populations chemical-elements line-emissivities pyequib python statistical-equilibrium

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pyEQUIB - Python Package for Plasma Diagnostics and Abundance Analysis

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======================
pyEQUIB Python Package
======================

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.. image:: https://img.shields.io/badge/python-2.7%2C%203.8-blue.svg
:alt: Support Python versions 2.7 and 3.8

.. image:: https://img.shields.io/badge/DOI-10.5281/zenodo.4287575-blue.svg
:target: https://doi.org/10.5281/zenodo.4287575
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:target: https://doi.org/10.21105/joss.02798
:alt: JOSS

.. image:: https://mybinder.org/badge_logo.svg
:target: https://mybinder.org/v2/gh/equib/pyEQUIB/HEAD?labpath=Notebooks.ipynb

Description
===========

The **pyEQUIB** library is a collection of `Python `_ programs developed to perform plasma diagnostics and abundance analysis using emission line fluxes measured in ionzed nebulae. It uses the `AtomNeb Python Package `_ to read collision strengths and transition probabilities for collisionally excited lines (CEL), and recombination coefficients for recombination lines (RL). This Python package can be used to determine interstellar extinctions, electron temperatures, electron densities, and ionic abundances from the measured fluxes of emission lines. It mainly contains the follwing API functions written purely in Python:

* **API functions for collisionally excited lines (CEL)** have been developed based on the algorithm of the FORTRAN program `EQUIB `_ originally written in FORTRAN by `Howarth & Adams (1981) `_, extended and customized by other people (`R. Clegg, D. Ruffle, X.-W. Liu, C. Pritchet, B. Ercolano, & R. Wesson `_). The program EQUIB calculates atomic level populations and line emissivities in statistical equilibrium in multi-level atoms for different physical conditions of the stratification layers where the chemical elements are ionized. Using the Python implementation of the program EQUIB, electron temperatures, electron densities, and ionic abundances are determined from the measured fluxes of collisionally excited lines.

* **API functions for recombination lines (RL)** have been developed based on the algorithm of the recombination scripts by X. W. Liu and Y. Zhang from `output_mod.f90 `_ included in the FORTRAN program `MOCASSIN `_. These API functiosn are used to determine ionic abundances from recombination lines for some heavy element ions.

* **API functions for reddening and extinctions** have been developed according to the methods of the reddening law functions from `STSDAS IRAF Package `_, which are used to obtain interstellar extinctions and deredden measured fluxes based on different reddening laws.

Installation
============

Dependent Python Packages
-------------------------

This package requires the following packages:

- `NumPy `_
- `SciPy `_
- `AtomNeb `_

* To get this package with the AtomNeb FITS files, you can simply use ``git`` command as follows:

.. code-block::

git clone --recursive https://github.com/equib/pyEQUIB

To install the last version, all you should need to do is

.. code-block::

$ python setup.py install

To install the stable version, you can use the preferred installer program (pip):

.. code-block::

$ pip install pyequib

or you can install it from the cross-platform package manager *conda*:

.. code-block::

$ conda install -c conda-forge pyequib

How to Use
==========

The Documentation of the Python functions provides in detail in the *API Documentation* (`equib.github.io/pyEQUIB/doc `_).

See *Jupyter Notebooks*: `Notebooks.ipynb `_

Run *Jupyter Notebooks* on `Binder `_:

.. image:: https://mybinder.org/badge_logo.svg
:target: https://mybinder.org/v2/gh/equib/pyEQUIB/HEAD?labpath=Notebooks.ipynb

There are three main object units:

* **Collision Unit** has the API functions for plasma diagnostics and abundance analysis of collisionally excited lines. Here are some examples of using *Collision* Unit:

- *Temperature*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_dir = os.path.join('atomic-data', 'chianti70')
atom_elj_file = os.path.join(base_dir,data_dir, 'AtomElj.fits')
atom_omij_file = os.path.join(base_dir,data_dir, 'AtomOmij.fits')
atom_aij_file = os.path.join(base_dir,data_dir, 'AtomAij.fits')

atom = 's'
ion = 'ii'
s_ii_elj = atomneb.read_elj(atom_elj_file, atom, ion, level_num=5)
s_ii_omij = atomneb.read_omij(atom_omij_file, atom, ion)
s_ii_aij = atomneb.read_aij(atom_aij_file, atom, ion)

upper_levels='1,2,1,3/'
lower_levels='1,5/'
density = np.float64(2550)
line_flux_ratio=np.float64(10.753)
temperature = pyequib.calc_temperature(line_flux_ratio=line_flux_ratio, density=density,
upper_levels=upper_levels, lower_levels=lower_levels,
elj_data=s_ii_elj, omij_data=s_ii_omij, aij_data=s_ii_aij)
print("Electron Temperature:", temperature)

which gives::

Electron Temperature: 7920.2865

- *Density*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_dir = os.path.join('atomic-data', 'chianti70')
atom_elj_file = os.path.join(base_dir,data_dir, 'AtomElj.fits')
atom_omij_file = os.path.join(base_dir,data_dir, 'AtomOmij.fits')
atom_aij_file = os.path.join(base_dir,data_dir, 'AtomAij.fits')

atom = 's'
ion = 'ii'
s_ii_elj = atomneb.read_elj(atom_elj_file, atom, ion, level_num=5)
s_ii_omij = atomneb.read_omij(atom_omij_file, atom, ion)
s_ii_aij = atomneb.read_aij(atom_aij_file, atom, ion)

upper_levels='1,2/'
lower_levels='1,3/'
temperature=np.float64(7000.0)#
line_flux_ratio=np.float64(1.506)#
density = pyequib.calc_density(line_flux_ratio=line_flux_ratio, temperature=temperature,
upper_levels=upper_levels, lower_levels=lower_levels,
elj_data=s_ii_elj, omij_data=s_ii_omij, aij_data=s_ii_aij)
print("Electron Density:", density)

which gives::

Electron Density: 2312.6395

- *Ionic Abundance*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_dir = os.path.join('atomic-data', 'chianti70')
data_rc_dir = os.path.join('atomic-data-rc')
atom_elj_file = os.path.join(base_dir,data_dir, 'AtomElj.fits')
atom_omij_file = os.path.join(base_dir,data_dir, 'AtomOmij.fits')
atom_aij_file = os.path.join(base_dir,data_dir, 'AtomAij.fits')
atom_rc_sh95_file = os.path.join(base_dir,data_rc_dir, 'rc_SH95.fits')

atom = 'h'
ion = 'ii' # H I Rec
hi_rc_data = atomneb.read_aeff_sh95(atom_rc_sh95_file, atom, ion)

atom = 'o'
ion = 'iii' # [O III]
o_iii_elj = atomneb.read_elj(atom_elj_file, atom, ion, level_num=5) # read Energy Levels (Ej)
o_iii_omij = atomneb.read_omij(atom_omij_file, atom, ion) # read Collision Strengths (Omegaij)
o_iii_aij = atomneb.read_aij(atom_aij_file, atom, ion) # read Transition Probabilities (Aij)

levels5007='3,4/'
temperature=np.float64(10000.0)
density=np.float64(5000.0)
iobs5007=np.float64(1200.0)
abb5007 = pyequib.calc_abundance(temperature=temperature, density=density,
line_flux=iobs5007, atomic_levels=levels5007,
elj_data=o_iii_elj, omij_data=o_iii_omij, aij_data=o_iii_aij,
h_i_aeff_data=hi_rc_data['aeff'][0])
print('N(O^2+)/N(H+):', abb5007)

which gives::

N(O^2+)/N(H+): 0.00041256231

- *Emissivity*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_dir = os.path.join('atomic-data', 'chianti70')
data_rc_dir = os.path.join('atomic-data-rc')
atom_elj_file = os.path.join(base_dir,data_dir, 'AtomElj.fits')
atom_omij_file = os.path.join(base_dir,data_dir, 'AtomOmij.fits')
atom_aij_file = os.path.join(base_dir,data_dir, 'AtomAij.fits')
atom_rc_sh95_file = os.path.join(base_dir,data_rc_dir, 'rc_SH95.fits')

atom = 'h'
ion = 'ii' # H I Rec
hi_rc_data = atomneb.read_aeff_sh95(atom_rc_sh95_file, atom, ion)

atom = 'o'
ion = 'iii' # [O III]
o_iii_elj = atomneb.read_elj(atom_elj_file, atom, ion, level_num=5) # read Energy Levels (Ej)
o_iii_omij = atomneb.read_omij(atom_omij_file, atom, ion) # read Collision Strengths (Omegaij)
o_iii_aij = atomneb.read_aij(atom_aij_file, atom, ion) # read Transition Probabilities (Aij)

levels5007='3,4/'
temperature=np.float64(10000.0)
density=np.float64(5000.0)
iobs5007=np.float64(1200.0)
emis = pyequib.calc_emissivity(temperature=temperature, density=density, atomic_levels=levels5007,
elj_data=o_iii_elj, omij_data=o_iii_omij, aij_data=o_iii_aij)
print('Emissivity(O III 5007):', emis)

which gives::

Emissivity(O III 5007): 3.6041012e-21

- *Atomic Level Population*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_dir = os.path.join('atomic-data', 'chianti70')
atom_elj_file = os.path.join(base_dir,data_dir, 'AtomElj.fits')
atom_omij_file = os.path.join(base_dir,data_dir, 'AtomOmij.fits')
atom_aij_file = os.path.join(base_dir,data_dir, 'AtomAij.fits')

atom = 's'
ion = 'ii'
s_ii_elj = atomneb.read_elj(atom_elj_file, atom, ion, level_num=5)
s_ii_omij = atomneb.read_omij(atom_omij_file, atom, ion)
s_ii_aij = atomneb.read_aij(atom_aij_file, atom, ion)

density = np.float64(1000)
temperature=np.float64(10000.0)#
nlj = pyequib.calc_populations(temperature=temperature, density=density,
elj_data=s_ii_elj, omij_data=s_ii_omij, aij_data=s_ii_aij)
print('Populations:', nlj)

which prints::

Populations: 0.96992832 0.0070036315 0.023062261 2.6593671e-06 3.1277019e-06

- *Critical Density*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_dir = os.path.join('atomic-data', 'chianti70')
atom_elj_file = os.path.join(base_dir,data_dir, 'AtomElj.fits')
atom_omij_file = os.path.join(base_dir,data_dir, 'AtomOmij.fits')
atom_aij_file = os.path.join(base_dir,data_dir, 'AtomAij.fits')

atom = 's'
ion = 'ii'
s_ii_elj = atomneb.read_elj(atom_elj_file, atom, ion, level_num=5)
s_ii_omij = atomneb.read_omij(atom_omij_file, atom, ion)
s_ii_aij = atomneb.read_aij(atom_aij_file, atom, ion)

temperature=np.float64(10000.0)
n_crit = pyequib.calc_crit_density(temperature=temperature,
elj_data=s_ii_elj, omij_data=s_ii_omij, aij_data=s_ii_aij)
print('Critical Densities:', n_crit)

which gives::

Critical Densities: 0.0000000 5007.8396 1732.8414 1072685.0 2220758.1

- *All Ionic Level Information*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_dir = os.path.join('atomic-data', 'chianti70')
data_rc_dir = os.path.join('atomic-data-rc')
atom_elj_file = os.path.join(base_dir,data_dir, 'AtomElj.fits')
atom_omij_file = os.path.join(base_dir,data_dir, 'AtomOmij.fits')
atom_aij_file = os.path.join(base_dir,data_dir, 'AtomAij.fits')
atom_rc_sh95_file = os.path.join(base_dir,data_rc_dir, 'rc_SH95.fits')

atom = 'h'
ion = 'ii' # H I Rec
hi_rc_data = atomneb.read_aeff_sh95(atom_rc_sh95_file, atom, ion)

atom = 'o'
ion = 'iii' # [O III]
o_iii_elj = atomneb.read_elj(atom_elj_file, atom, ion, level_num=5) # read Energy Levels (Ej)
o_iii_omij = atomneb.read_omij(atom_omij_file, atom, ion) # read Collision Strengths (Omegaij)
o_iii_aij = atomneb.read_aij(atom_aij_file, atom, ion) # read Transition Probabilities (Aij)

temperature=np.float64(10000.0)
density=np.float64(5000.0)
pyequib.print_ionic(temperature=temperature, density=density,
elj_data=o_iii_elj, omij_data=o_iii_omij, aij_data=o_iii_aij,
h_i_aeff_data=hi_rc_data['aeff'][0])

which gives::

Temperature = 10000.0 K
Density = 1000.0 cm-3

Level Populations Critical Densities
Level 1: 3.063E-01 0.000E+00
Level 2: 4.896E-01 4.908E+02
Level 3: 2.041E-01 3.419E+03
Level 4: 4.427E-05 6.853E+05
Level 5: 2.985E-09 2.547E+07

2.597E-05
88.34um
(2-->1)
2.859E-22

0.000E+00 9.632E-05
32.66um 51.81um
(3-->1) (3-->2)
0.000E+00 7.536E-22

2.322E-06 6.791E-03 2.046E-02
4932.60A 4960.29A 5008.24A
(4-->1) (4-->2) (4-->3)
4.140E-25 1.204E-21 3.593E-21

0.000E+00 2.255E-01 6.998E-04 1.685E+00
2315.58A 2321.67A 2332.12A 4364.45A
(5-->1) (5-->2) (5-->3) (5-->4)
0.000E+00 5.759E-24 1.779E-26 2.289E-23

H-beta emissivity: 1.237E-25 N(H+) Ne [erg/s]

* **Recombination Unit** has the API functions for plasma diagnostics and abundance analysis of recombination lines. Here are some examples of using *Recombination* Unit:

- *He+ Ionic Abundance*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_he_i_file = os.path.join(base_dir,data_rc_dir, 'rc_he_ii_PFSD12.fits')
atom_rc_sh95_file = os.path.join(base_dir,data_rc_dir, 'rc_SH95.fits')

atom = 'h'
ion = 'ii' # H I
h_i_rc_data = atomneb.read_aeff_sh95(atom_rc_sh95_file, atom, ion)

atom = 'he'
ion = 'ii' # He I
he_i_rc_data = atomneb.read_aeff_he_i_pfsd12(atom_rc_he_i_file, atom, ion)

h_i_aeff_data = h_i_rc_data['aeff'][0]
he_i_aeff_data = he_i_rc_data['aeff'][0]

temperature=np.float64(10000.0)
density=np.float64(5000.0)
he_i_4471_flux= 2.104
linenum=10# 4471.50
abund_he_i = pyequib.calc_abund_he_i_rl(temperature=temperature, density=density,
linenum=linenum, line_flux=he_i_4471_flux,
he_i_aeff_data=he_i_aeff_data, h_i_aeff_data=h_i_aeff_data)
print('N(He^+)/N(H^+):', abund_he_i)

which gives::

N(He^+)/N(H^+): 0.040848393

- *He++ Ionic Abundance*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_sh95_file = os.path.join(base_dir,data_rc_dir, 'rc_SH95.fits')

atom = 'h'
ion = 'ii' # H I
h_i_rc_data = atomneb.read_aeff_sh95(atom_rc_sh95_file, atom, ion)

atom = 'he'
ion = 'iii' # He II
he_ii_rc_data = atomneb.read_aeff_sh95(atom_rc_sh95_file, atom, ion)

h_i_aeff_data = h_i_rc_data['aeff'][0]
he_ii_aeff_data = he_ii_rc_data['aeff'][0]

temperature=np.float64(10000.0)
density=np.float64(5000.0)
he_ii_4686_flux = 135.833
abund_he_ii = pyequib.calc_abund_he_ii_rl(temperature=temperature, density=density,
line_flux=he_ii_4686_flux,
he_ii_aeff_data=he_ii_aeff_data, h_i_aeff_data=h_i_aeff_data)
print('N(He^2+)/N(H^+):', abund_he_ii)

which gives::

N(He^2+)/N(H^+): 0.11228817

- *C++ Ionic Abundance*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_all_file = os.path.join(base_dir,data_rc_dir, 'rc_collection.fits')
atom_rc_sh95_file = os.path.join(base_dir,data_rc_dir, 'rc_SH95.fits')

atom = 'c'
ion = 'iii' # C II
c_ii_rc_data = atomneb.read_aeff_collection(atom_rc_all_file, atom, ion)

atom = 'h'
ion = 'ii' # H I
h_i_rc_data = atomneb.read_aeff_sh95(atom_rc_sh95_file, atom, ion)

temperature=np.float64(10000.0)
density=np.float64(5000.0)
wavelength=6151.43
c_ii_6151_flux = 0.028
abund_c_ii = pyequib.calc_abund_c_ii_rl(temperature=temperature, density=density,
wavelength=wavelength, line_flux=c_ii_6151_flux,
c_ii_rc_data=c_ii_rc_data, h_i_aeff_data=h_i_aeff_data)
print('N(C^2+)/N(H+):', abund_c_ii)

which gives::

N(C^2+)/N(H+): 0.00063404650

- *C3+ Ionic Abundance*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_ppb91_file = os.path.join(base_dir,data_rc_dir, 'rc_PPB91.fits')
atom_rc_sh95_file = os.path.join(base_dir,data_rc_dir, 'rc_SH95.fits')

atom = 'c'
ion = 'iv' # C III
c_iii_rc_data = atomneb.read_aeff_ppb91(atom_rc_ppb91_file, atom, ion)

atom = 'h'
ion = 'ii' # H I
h_i_rc_data = atomneb.read_aeff_sh95(atom_rc_sh95_file, atom, ion)

temperature=np.float64(10000.0)
density=np.float64(5000.0)
wavelength=4647.42
c_iii_4647_flux = 0.107
abund_c_iii = pyequib.calc_abund_c_iii_rl(temperature=temperature, density=density,
wavelength=wavelength,
line_flux=c_iii_4647_flux, c_iii_rc_data=c_iii_rc_data,
h_i_aeff_data=h_i_aeff_data)
print('N(C^3+)/N(H+):', abund_c_iii)

which gives::

N(C^3+)/N(H+): 0.00017502840

- *N++ Ionic Abundance*:

.. code-block:: Python

import pyequib
import atomneb
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_all_file = os.path.join(base_dir,data_rc_dir, 'rc_collection.fits')
atom_rc_sh95_file = os.path.join(base_dir,data_rc_dir, 'rc_SH95.fits')

atom = 'n'
ion = 'iii' # N II
n_ii_rc_data = atomneb.read_aeff_collection(atom_rc_all_file, atom, ion)
n_ii_rc_data_br = atomneb.read_aeff_collection(atom_rc_all_file, atom, ion, br=True)

atom = 'h'
ion = 'ii' # H I
h_i_rc_data = atomneb.read_aeff_sh95(atom_rc_sh95_file, atom, ion)

wavelength=4442.02
n_ii_4442_flux = 0.017
abund_n_ii = pyequib.calc_abund_n_ii_rl(temperature=temperature, density=density,
wavelength=wavelength, line_flux=n_ii_4442_flux,
n_ii_rc_br=n_ii_rc_data_br, n_ii_rc_data=n_ii_rc_data,
h_i_aeff_data=h_i_aeff_data)
print('N(N^2+)/N(H+):', abund_n_ii)

which gives::

N(N^2+)/N(H+): 0.00069297541

- *N3+ Ionic Abundance*:

.. code-block:: Python

import pyequib
import atomneb
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_ppb91_file = os.path.join(base_dir,data_rc_dir, 'rc_PPB91.fits')
atom_rc_sh95_file = os.path.join(base_dir,data_rc_dir, 'rc_SH95.fits')

atom = 'n'
ion = 'iv' # N III
n_iii_rc_data = atomneb.read_aeff_ppb91(atom_rc_ppb91_file, atom, ion)

atom = 'h'
ion = 'ii' # H I
h_i_rc_data = atomneb.read_aeff_sh95(atom_rc_sh95_file, atom, ion)

wavelength=4640.64
n_iii_4641_flux = 0.245
abund_n_iii = pyequib.calc_abund_n_iii_rl(temperature=temperature, density=density,
wavelength=wavelength, line_flux=n_iii_4641_flux,
n_iii_rc_data=n_iii_rc_data, h_i_aeff_data=h_i_aeff_data)
print('N(N^3+)/N(H+):', abund_n_iii)

which gives::

N(N^3+)/N(H+): 6.3366175e-05

- *O++ Ionic Abundance*:

.. code-block:: Python

import pyequib
import atomneb
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_all_file = os.path.join(base_dir,data_rc_dir, 'rc_collection.fits')
atom_rc_sh95_file = os.path.join(base_dir,data_rc_dir, 'rc_SH95.fits')

atom = 'o'
ion = 'iii' # O II
o_ii_rc_data = atomneb.read_aeff_collection(atom_rc_all_file, atom, ion)
o_ii_rc_data_br = atomneb.read_aeff_collection(atom_rc_all_file, atom, ion, br=True)

atom = 'h'
ion = 'ii' # H I
h_i_rc_data = atomneb.read_aeff_sh95(atom_rc_sh95_file, atom, ion)

wavelength=4613.68
o_ii_4614_flux = 0.009
abund_o_ii = pyequib.calc_abund_o_ii_rl(temperature=temperature, density=density,
wavelength=wavelength, line_flux=o_ii_4614_flux,
o_ii_rc_br=o_ii_rc_data_br,
o_ii_rc_data=o_ii_rc_data,
h_i_aeff_data=h_i_aeff_data)
print('N(O^2+)/N(H+):', abund_o_ii)

which gives::

N(O^2+)/N(H+): 0.0018886330

- *Ne++ Ionic Abundance*:

.. code-block:: Python

import pyequib
import atomneb
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_all_file = os.path.join(base_dir,data_rc_dir, 'rc_collection.fits')
atom_rc_sh95_file = os.path.join(base_dir,data_rc_dir, 'rc_SH95.fits')

atom = 'ne'
ion = 'iii' # Ne II
ne_ii_rc_data = atomneb.read_aeff_collection(atom_rc_all_file, atom, ion)

atom = 'h'
ion = 'ii' # H I
h_i_rc_data = atomneb.read_aeff_sh95(atom_rc_sh95_file, atom, ion)

wavelength=3777.14
ne_ii_3777_flux = 0.056
abund_ne_ii = pyequib.calc_abund_ne_ii_rl(temperature=temperature, density=density,
wavelength=wavelength, line_flux=ne_ii_3777_flux,
ne_ii_rc_data=ne_ii_rc_data, h_i_aeff_data=h_i_aeff_data)
print('N(Ne^2+)/N(H+):', abund_ne_ii)

which gives::

N(Ne^2+)/N(H+): 0.00043376850

- *He I Emissivity*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_he_i_file = os.path.join(base_dir,data_rc_dir, 'rc_he_ii_PFSD12.fits')

atom = 'he'
ion = 'ii' # He I
he_i_rc_data = atomneb.read_aeff_he_i_pfsd12(atom_rc_he_i_file, atom, ion)

he_i_aeff_data = he_i_rc_data['aeff'][0]

temperature=np.float64(10000.0)
density=np.float64(5000.0)
linenum=10# 4471.50
emiss_he_i = pyequib.calc_emiss_he_i_rl(temperature=temperature, density=density,
linenum=linenum, he_i_aeff_data=he_i_aeff_data)
print('He I Emissivity:', emiss_he_i)

which gives::

He I Emissivity: 6.3822830e-26

- *He II Emissivity*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_sh95_file = os.path.join(base_dir,data_rc_dir, 'rc_SH95.fits')

atom = 'he'
ion = 'iii' # He II
he_ii_rc_data = atomneb.read_aeff_sh95(atom_rc_sh95_file, atom, ion)

he_ii_aeff_data = he_ii_rc_data['aeff'][0]

temperature=np.float64(10000.0)
density=np.float64(5000.0)
emiss_he_ii = pyequib.calc_emiss_he_ii_rl(temperature=temperature, density=density,
he_ii_aeff_data=he_ii_aeff_data)
print('He II Emissivity:', emiss_he_ii)

which gives::

He II Emissivity: 1.4989134e-24

- *C II Emissivity*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_all_file = os.path.join(base_dir,data_rc_dir, 'rc_collection.fits')

atom = 'c'
ion = 'iii' # C II
c_ii_rc_data = atomneb.read_aeff_collection(atom_rc_all_file, atom, ion)

temperature=np.float64(10000.0)
density=np.float64(5000.0)
wavelength=6151.43
emiss_c_ii = pyequib.calc_emiss_c_ii_rl(temperature=temperature, density=density,
wavelength=wavelength, c_ii_rc_data=c_ii_rc_data)
print('C II Emissivity:', emiss_c_ii)

which gives::

C II Emissivity: 5.4719511e-26

- *C III Emissivity*:

.. code-block:: Python

import pyequib
import atomneb
import numpy as np
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_ppb91_file = os.path.join(base_dir,data_rc_dir, 'rc_PPB91.fits')

atom = 'c'
ion = 'iv' # C III
c_iii_rc_data = atomneb.read_aeff_ppb91(atom_rc_ppb91_file, atom, ion)

temperature=np.float64(10000.0)
density=np.float64(5000.0)
wavelength=4647.42
emiss_c_iii = pyequib.calc_emiss_c_iii_rl(temperature=temperature, density=density,
wavelength=wavelength,
c_iii_rc_data=c_iii_rc_data)
print('C III Emissivity:', emiss_c_iii)

which gives::

C III Emissivity: 7.5749632e-25

- *N II Emissivity*:

.. code-block:: Python

import pyequib
import atomneb
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_all_file = os.path.join(base_dir,data_rc_dir, 'rc_collection.fits')

atom = 'n'
ion = 'iii' # N II
n_ii_rc_data = atomneb.read_aeff_collection(atom_rc_all_file, atom, ion)
n_ii_rc_data_br = atomneb.read_aeff_collection(atom_rc_all_file, atom, ion, br=True)

wavelength=4442.02
emiss_n_ii = pyequib.calc_emiss_n_ii_rl(temperature=temperature, density=density,
wavelength=wavelength,
n_ii_rc_br=n_ii_rc_data_br, n_ii_rc_data=n_ii_rc_data)
print('N II Emissivity:', emiss_n_ii)

which gives::

N II Emissivity: 3.0397397e-26

- *N III Emissivity*:

.. code-block:: Python

import pyequib
import atomneb
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_ppb91_file = os.path.join(base_dir,data_rc_dir, 'rc_PPB91.fits')

atom = 'n'
ion = 'iv' # N III
n_iii_rc_data = atomneb.read_aeff_ppb91(atom_rc_ppb91_file, atom, ion)

wavelength=4640.64
emiss_n_iii = pyequib.calc_emiss_n_iii_rl(temperature=temperature, density=density,
wavelength=wavelength, n_iii_rc_data=n_iii_rc_data)
print('N III Emissivity:', emiss_n_iii)

which gives::

N III Emissivity: 4.7908644e-24

- *O II Emissivity*:

.. code-block:: Python

import pyequib
import atomneb
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_all_file = os.path.join(base_dir,data_rc_dir, 'rc_collection.fits')

atom = 'o'
ion = 'iii' # O II
o_ii_rc_data = atomneb.read_aeff_collection(atom_rc_all_file, atom, ion)
o_ii_rc_data_br = atomneb.read_aeff_collection(atom_rc_all_file, atom, ion, br=True)

wavelength=4613.68
emiss_o_ii = pyequib.calc_emiss_o_ii_rl(temperature=temperature, density=density,
wavelength=wavelength,
o_ii_rc_br=o_ii_rc_data_br, o_ii_rc_data=o_ii_rc_data)
print('O II Emissivity:', emiss_o_ii)

which gives::

O II Emissivity: 5.9047319e-27

- *Ne II Emissivity*:

.. code-block:: Python

import pyequib
import atomneb
import os
base_dir = 'externals/atomneb'
data_rc_dir = os.path.join('atomic-data-rc')
atom_rc_all_file = os.path.join(base_dir,data_rc_dir, 'rc_collection.fits')

atom = 'ne'
ion = 'iii' # Ne II
ne_ii_rc_data = atomneb.read_aeff_collection(atom_rc_all_file, atom, ion)

wavelength=3777.14
emiss_ne_ii = pyequib.calc_emiss_ne_ii_rl(temperature=temperature, density=density,
wavelength=wavelength, ne_ii_rc_data=ne_ii_rc_data)
print('Ne II Emissivity:', emiss_ne_ii)

which gives::

Ne II Emissivity: 1.5996881e-25

* **Reddening Unit** has the API functions for estimating logarithmic extinctions at H-beta and dereddening observed fluxes based on reddening laws and extinctions. Here are some examples of using *Reddening* Unit:

- *Reddening Law Function*:

.. code-block:: Python

import pyequib
wavelength=6563.0
r_v=3.1
fl=pyequib.redlaw(wavelength, rv=r_v, ext_law='GAL')
print('fl(6563):', fl)

which gives::

fl(6563): -0.32013816

- *Galactic Reddening Law Function based on Seaton (1979), Howarth (1983), & CCM (1983)*:

.. code-block:: Python

import pyequib
wavelength=6563.0
r_v=3.1
fl=pyequib.redlaw_gal(wavelength, rv=r_v)
print('fl(6563):', fl)

which gives::

fl(6563): -0.32013816

- *Galactic Reddening Law Function based on Savage & Mathis (1979)*:

.. code-block:: Python

import pyequib
wavelength=6563.0
fl=pyequib.redlaw_gal2(wavelength)
print('fl(6563):', fl)

which gives::

fl(6563): -0.30925984

- *Reddening Law Function based on Cardelli, Clayton & Mathis (1989)*:

.. code-block:: Python

import pyequib
wavelength=6563.0
r_v=3.1
fl=pyequib.redlaw_ccm(wavelength, rv=r_v)
print('fl(6563):', fl)

which gives::

fl(6563): -0.29756615

- *Galactic Reddening Law Function based on Whitford (1958), Seaton (1977), & Kaler(1976)*:

.. code-block:: Python

import pyequib
wavelength=6563.0
fl=pyequib.redlaw_jbk(wavelength)
print('fl(6563):', fl)

which gives::

fl(6563): -0.33113684

- *Reddening Law Function based on Fitzpatrick & Massa (1990), Fitzpatrick (1999), Misselt (1999)*:

.. code-block:: Python

import pyequib
wavelength=6563.0
r_v=3.1
fmlaw='AVGLMC'
fl=pyequib.redlaw_fm(wavelength, fmlaw=fmlaw, rv=r_v)
print('fl(6563):', fl)

which gives::

fl(6563): -0.35053032

- *Reddening Law Function for the Small Magellanic Cloud*:

.. code-block:: Python

import pyequib
wavelength=6563.0
fl=pyequib.redlaw_smc(wavelength)
print('fl(6563):', fl)

which gives::

fl(6563): -0.22659261

- *Reddening Law Function for the Large Magellanic Cloud*:

.. code-block:: Python

import pyequib
wavelength=6563.0
fl=pyequib.redlaw_lmc(wavelength)
print('fl(6563):', fl)

which gives::

fl(6563): -0.30871187

- *Dereddening Relative Flux*:

.. code-block:: Python

import pyequib
wavelength=6563.0
m_ext=1.0
flux=1.0
ext_law='GAL'
r_v=3.1
flux_deredden=pyequib.deredden_relflux(wavelength, flux, m_ext, ext_law=ext_law, rv=r_v)
print('dereddened flux(6563)', flux_deredden)

which gives::

dereddened flux(6563) 0.47847785

- *Dereddening Absolute Flux*:

.. code-block:: Python

import pyequib
wavelength=6563.0
m_ext=1.0
flux=1.0
ext_law='GAL'
r_v=3.1
flux_deredden=pyequib.deredden_flux(wavelength, flux, m_ext, ext_law=ext_law, rv=r_v)
print('dereddened flux(6563)', flux_deredden)

which gives::

dereddened flux(6563) 4.7847785

Documentation
=============

For more information on how to use the API functions from the pyEQUIB libray, please read the `API Documentation `_ published on `equib.github.io/pyEQUIB `_.

References
==========
* Danehkar, A. (2020). pyEQUIB Python Package, an addendum to proEQUIB: IDL Library for Plasma Diagnostics and Abundance Analysis. *J. Open Source Softw.*, **5**, 2798. doi: `10.21105/joss.02798 `_ ads: `2020JOSS....5.2798D `_.

* Danehkar, A. (2018). proEQUIB: IDL Library for Plasma Diagnostics and Abundance Analysis. *J. Open Source Softw.*, **3**, 899. doi: `10.21105/joss.00899 `_ ads: `2018JOSS....3..899D `_.

* Danehkar, A. (2018). Bi-Abundance Ionisation Structure of the Wolf-Rayet Planetary Nebula PB 8, *PASA*, **35**, e005. doi: `10.1017/pasa.2018.1 `_ ads: `2018PASA...35....5D `_.

* Danehkar, A. (2021). Physical and Chemical Properties of Wolf-Rayet Planetary Nebulae, *ApJS*, **257**, 58. doi: `10.3847/1538-4365/ac2310 `_ ads: `2021ApJS..257...58D `_.

Citation
========

Using the **pyEQUIB** Python package in a scholarly publication? Please cite thess papers:

.. code-block:: bibtex

@article{Danehkar2020,
author = {{Danehkar}, Ashkbiz},
title = {pyEQUIB Python Package, an addendum to proEQUIB: IDL Library
for Plasma Diagnostics and Abundance Analysis},
journal = {Journal of Open Source Software},
volume = {5},
number = {55},
pages = {2798},
year = {2020},
doi = {10.21105/joss.02798}
}

and if you use the `proEQUIB `_ IDL library:

.. code-block:: bibtex

@article{Danehkar2018,
author = {{Danehkar}, Ashkbiz},
title = {proEQUIB: IDL Library for Plasma Diagnostics and Abundance Analysis},
journal = {Journal of Open Source Software},
volume = {3},
number = {32},
pages = {899},
year = {2018},
doi = {10.21105/joss.00899}
}

Learn More
==========

================== =============================================
**Documentation** https://pyequib.readthedocs.io/
**Repository** https://github.com/equib/pyEQUIB
**Issues & Ideas** https://github.com/equib/pyEQUIB/issues
**Conda-Forge** https://anaconda.org/conda-forge/pyequib
**PyPI** https://pypi.org/project/pyequib/
**DOI** `10.21105/joss.02798 `_
**Archive** `10.5281/zenodo.4287575 `_
================== =============================================