Ion population fraction calculations using improved screened hydrogenic model with l-splitting

doi:10.1088/1674-1056/27/10/105201

Abstract

Ion population fraction (IPF) calculations are very important to understand the radiative spectrum emitted from the hot dense matter. IPF calculations require detailed knowledge of all the ions and correlation interactions between the electrons of an ion which are present in a plasma environment. The average atom models, e.g., screened hydrogenic model with l-splitting (SHML), now have the capabilities for such calculations and are becoming more popular for in line plasma calculations. In our previous work[Ali A, Shabbir Naz G, Shahzad M S, Kouser R, Rehman A and Nasim M H 2018 High Energy Density Phys. 26 48], we have improved the continuum lowering model and included the exchange and correlation effects in SHML. This study presents the calculation of IPF using classical theory of fluctuation for our improved screened hydrogenic model with l-splitting (I-SHML) under local thermodynamic equilibrium conditions for iron and aluminum plasma over a wide range of densities and temperatures. We have compared our results with other models and have found a very good agreement among them.

Keywords: self-consistent average atom model average ionization state ion population

Received: 02 May 2018
Revised: 14 June 2018
Accepted manuscript online:

PACS:	52.25.Os	(Emission, absorption, and scattering of electromagnetic radiation ?)
	32.30.-r	(Atomic spectra?)
	31.15.xr	(Self-consistent-field methods)

Corresponding Authors: Amjad Ali
E-mail: amjadali_11@pieas.edu.pk

Cite this article:

Amjad Ali, G Shabbir Naz, Rukhsana Kouser, Ghazala Tasneem, M Saleem Shahzad, Aman-ur-Rehman, M H Nasim Ion population fraction calculations using improved screened hydrogenic model with l-splitting 2018 Chin. Phys. B 27 105201

[1]	Bell A R, Davies J R, Guerin S and Ruhl H 1997 Plasma Phys. Control. Fusion 39 653
[2]	Hoffmann D H H, Blazevic A, Ni P, Rosmej O, Tauschwitz A, Udrea S, Varentsov D, Weyrich K and Maron Y 2005 Laser Part. Beams 23 47
[3]	Larsen J and Colvin J 2014 Properties and Behavior of Matter At Extreme Conditions (Cambridge:Cambridge Univ. Press)
[4]	Zeng J, Gao C and Yuan J 2010 Phys. Rev. E 82 026409
[5]	Zeng J, Yuan J and Lu Q 2001 Phys. Rev. E 64 066412
[6]	Rose S J, van Hoof P A M, Jonauskas V, Keenan F P, Kisielius R, Ramsbottom C, Foord M E, Heeter R F and Springer P T 2004 J. Phys. B:At. Mol. Opt. Phys. 37 L337
[7]	Wang F, Fujioka S, Nishimura H, Kato D, Li Y, Zhao Gang, Zhang Jie and Takabe H 2008 Phys. Plasmas 15 073108
[8]	Wang F, Han B, Jin R, Salzmann D, Liang G, Wei H, Zhong J, Zhao G and Li J 2016 J. Phys. B:At. Mol. Opt. Phys. 49 064013
[9]	Rogers F J and Iglesias C A 1995 Highlights Astron. 10 573
[10]	Kilcrease D P, Colgan J, Hakel P, Fontes C J and Sherrill M E 2015 High Energy Density Phys. 16 36
[11]	Hakel P, Sherrill M E, Mazevet S, Abdallah Jr, Colgan J, Kilcrease D P, Magee N H, Fontes C J and Zhang H L 2006 J. Quantum Spectrosc. Radiat. Transfer 99 265
[12]	Nikiforov A F, Novikov V G and Uvarov V B 2005 Quantum-Statistical Models of Hot Dense Matter:Methods for Computation Opacity and Equation of State (Basel:Birkhäuser Verlag) ISBN:978-3-7643-7346-7
[13]	Crowley B J B and Harris J W 2001 J. Quantum Spectrosc. Radiat. Transfer 71 257
[14]	Kouser R, Tasneem G, Shahzad M S, Sardar S, Ali A, Nasim M H and Salahuddin M 2017 Chin. Phys. B 26 075201
[15]	Faussurier G 2000 J. Quantum Spectrosc. Radiat. Transfer 65 207
[16]	Blenski T, Piron R, Caizergues C and Cichocki B 2013 High Energy Density Phys. 9 687
[17]	Kiyokawa S 2014 High Energy Density Phys. 13 40
[18]	Faussurier G, Blancard C and Decoster A 1997 J. Quantum Spectrosc. Radiat. Transfer 58 223
[19]	Faussurier G, Blancard C and Renaudin P 2008 High Energy Density Phys. 4 114
[20]	Mendoza M A, Rubiano J G, Gil J M, Rodriguez R, Florido R, Martel P and Minguez E 2012 39th EPS Conference on Plasma Physics 2012, EPS 2012 and the 16th International Congress on Plasma Physics, July 2-6, 2012, Stockholm, Sweden, ISBN:2-914771-79-7, p. 5.167
[21]	Blancard C and Faussurier G 2003 J. Quantum Spectrosc. Radiat. Transfer 81 65
[22]	Green J M 1964 J. Quantum Spectrosc. Radiat. Transfer 4 639
[23]	Perrot F 1988 Physica A 150 357
[24]	Wilson B G 1993 J. Quantum Spectrosc. Radiat. Transfer 49 241
[25]	Faussurier G, Blancard C and Decoster A 1997 Phys. Rev. E 56 3474
[26]	Faussurier G, Blancard C and Decoster A 1997 Phys. Rev. E 56 3488
[27]	Ali A, Shabbir Naz G, Shahzad M S, Kouser R, Rehman A and Nasim M H 2018 High Energy Density Phys. 26 48
[28]	Huebner W F and Barfield W D 2014 Opacity (New York:Springer-Verlag)
[29]	Seitz F 1940 The Modern Theory of Solids (New York:McGraw-Hill)
[30]	Kittel C 1936 Quantum Theoy of Solids (New York:John Wiley and Sons)
[31]	Cowan R D 1981 The Theory of Atomic Structure and Spectra (Berkeley, Los Angeles, London:University of California Press)
[32]	Sweeney M A 1978 Astrophys. J. 220 335
[33]	Rose S J 1997 The NIMP (Non-LTE Ionised Material Package) Code, Rutherford Appleton Laboratory, RAL-TR-97-020, United Kingdom
[34]	Negele J H and Orland H 1988 Quantum Many Particle Systems (New York:Addison Wesley)
[35]	Feynmen R P 1972 Statitical Mechanics:A Set of Lectures (New York:Addison Wesley), ISBN:0805325085, 0805325093
[36]	Son S K, Thiele R, Jurek Z, Ziaja B and Santra R 2014 Phys. Rev. X 4 031004
[37]	Perrot F 1987 Phys. Rev. A 35 1235
[38]	Li Y, Wu J, Houv Y and Yuan J 2009 J. Phys. B:At. Mol. Opt. Phys. 42 235701
[39]	Zeng J, Yuan J and Lu Q 2001 Phys. Rev. E 64 066412

[1]	Radiative properties of matter based on quantum statistical method Rukhsana Kouser, G Tasneem, Muhammad Saleem Shahzad, S Sardar, Amjad Ali, M H Nasim, M Salahuddin. Chin. Phys. B, 2017, 26(7): 075201.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Ion population fraction calculations using improved screened hydrogenic model with l-splitting

Cite this article:

Online attention