The thirteen times ionized tungsten is isoelectronic with PmI. Wavelengths and transition probabilities for the 5s-5p and 5p-5d transitions of WXIV, identifying the ground state as 4f13 5s2 2F7/2 were calculated. Both, a relativistic Hartree Fock approach, including core-polarization effects, and a purely relativistic multiconfiguration Dirac-Fock method were used for the calculations. Particularly, 5s-5p transitions were compared with experimental results obtained with VUV electron beam ion trap (EBIT) spectroscopy.Facultad de Ciencias Exacta

Gallardo, Mario O.

Pagan, C.J.B.

Raineri, María Mónica

Reyna Almandos, Jorge Guillermo

Journal of Physics Conference Series

SEDICI - Repositorio de la UNLP

Journal of Physics: Conference Series
OPEN ACCESS
New spectroscopic data for atomic tungsten XIV
To cite this article: M Raineri et al 2015 J. Phys.: Conf. Ser. 583 012006
 
View the article online for updates and enhancements.
Related content
Frequency of Binaries in the Open Cluster
Trumpler 14
Beatriz García, Stella Malaroda, Hugo
Levato et al.
-
UV-Bremsstrahlung from Tungsten
P.O. Nilsson and C.G. Larsson
-
Analysis of the Spectra of Pd-Like
Praseodymium and Neodymium (Pr XIV
and Nd XV)
S S Churilov, A N Ryabtsev, J-F Wyart et
al.
-
This content was downloaded from IP address 163.10.34.204 on 29/10/2019 at 21:07
 
 
 
 
 
 
New spectroscopic data for atomic tungsten XIV  
M Raineri 13, J  Reyna Almandos 1, M  Gallardo 1, C J B Pagan 2  
1Centro de Investigaciones Opticas (CIOp), CC 3, 1897 Gonnet, La Plata, Argentina 
2School of Electrical and Computer Engineering, University of Campinas 
(UNICAMP), 13083-970 Campinas, SP, Brazil  
 
3E-mail: monicar@ciop.unlp.edu.ar 
 
Abstract. The thirteen times ionized tungsten is isoelectronic with PmI. Wavelengths and 
transition probabilities for the 5s-5p and 5p-5d transitions of WXIV, identifying the ground 
state as 4f13 5s2 2F7/2 were calculated. Both, a relativistic Hartree Fock approach, including 
core-polarization effects, and a purely relativistic multiconfiguration Dirac-Fock method were 
used for the calculations. Particularly, 5s-5p transitions were compared with experimental 
results obtained with VUV electron beam ion trap (EBIT) spectroscopy. 
1.  Introduction 
The thirteen times ionized tungsten (WXIV) is isoelectronic with PmI. Reliable spectroscopic 
parameters in the tungsten atom are of fundamental importance for the study of fusion plasmas, but 
some discrepancies remain unsolved.  On one hand, Curtis and Ellis [1], using a nonrelativistic single-
configuration model, identified the collapse of the 4f orbital and predicted  the wavelengths for 5s-5p 
transitions setting the ground state as [Kr] 4d10 4f14 5s 2S1/2. On the other, Theodosiou and V. 
Raftopoulos [2] used a more sophisticated multiconfigurational relativistic approach to identify the 
ground state as 4f13 5s2 2F5/2, but predicting the wavelengths of 5s-5p transitions far away from the 
experimental values [3]. 
In this work we made HFR[4] and GRASP [5] calculations for wavelength and transition probabilities 
for the 5s-5p (table 1) and 5p-5d (table 2) transitions, identifying the ground state as 4f13 5s2 2F7/2  in 
accordance with the paper of Kramida [6], showing good agreement with the observed values of the 
reference [3]. We also took into account the core polarization effects that refer to the deformation of 
the internal atomic orbitals due to the orbit of the active electron, which repels the remaining electrons 
(section 2.2) 
 
2. Theory and discussions 
Three calculation methods were used in this paper to obtain the wavelengths gA and gf. For the first 
two methods, Cowan’s package [4] was used, and the third method used the GRASP relativistic 
program [5]. 
 
2.1. The Relativistic Hartree–Fock method 
In Cowan’s package, wavefunctions are calculated in a Hartree–Fock approximation with relativistic 
corrections. The wavefunctions are used to calculate a multiconfigurational energy matrix. Both the 
eigenvalues and the eigenvectors of the matrix are functions of the Slater parameters, i.e., functions of 
the average configuration energy Eave, electrostatic direct F
k and exchange Gk integrals,configuration 
17th International Conference on the Physics of Highly Charged Ions IOP Publishing
Journal of Physics: Conference Series 583 (2015) 012006 doi:10.1088/1742-6596/583/1/012006
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution
of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Published under licence by IOP Publishing Ltd 1
 
 
 
 
 
 
interaction integrals Rk, and spin–orbit parameters ζnl, as well as the coefficients of the 
multiconfigurational expansion ( Ref. [4, Eq. (16.7)]). This method was used in several previous paper 
(see for example M.Raineri et.al Ref [7]) 
In this calculation the following configurations were included: 4f 14 5s, 4f 14 5d, 4f 13 5s5p, 4f 13 5p5d,   
4f 14 5p, 4f 13 5s2, 4f12 5s25p, 4f13 5p2 and 4f13 5s5d for both parities. 
Figure 1 shows the average energy values (Eave) along the promethium isoelectronic sequence of all 
configurations considered in our Relativistic Hartree-Fock calculation. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Figure 1. The average energy values (Eave) along the promethium isoelectronic sequence of all 
configurations considered in our Relativistic Hartree-Fock calculation 
 
In figure 1 we can observe that the ground state of Pm-like ions starting with W XIV, is the odd-parity 
4f135s2 and in our relativistic approach it predicts the change to happen at Ir XVII. In accordance with 
the paper of Kramida [6]  our HFR[4]  and GRASP[5] calculations identify the ground state as 4f13 5s2 
2F7/2  separated from the first excited state 4f
13 5s2 2F5/2  by approximately 18000 cm 
-1
 . 
 
2.2  Hartree–Fock plus core polarization 
We included the Core Polarization (CP) effects (see, for example, Curtis L.J. [8] and Biémont [9]) just 
by replacing the dipole integral  
                                      
∫    
 
 
( )   ´ ´( )     → ∫    
 
 
  
.  1 −
  
      
  
 /     ´ ´( )   −  
  
  
   ∫    
 
 
( )  ´ ´( )   
 
Here αd is the electric dipole polarizability of the core, and rc is the cut-off radius, which defines the 
boundaries of the atomic core. This is the same modification used by Quinet [10] to correct transition 
matrix elements when including CP effects. In our case, the radial functions were obtained from the 
-200000
0
200000
400000
600000
800000
1000000
1200000
1400000
1600000
1800000
4f
13
5p5d
4f
14
5d
4f
13
5s5d
4f
13
5p2
4f
14
5p
4f
13
5s5p
4f
12
5s
2
5p
4f
13
5s
2
4f
14
5s
AuXIXPtXVIIIIrXVIIOsXVIReXVWXIV
E
a
v
e
 (
c
m
-1
)
17th International Conference on the Physics of Highly Charged Ions IOP Publishing
Journal of Physics: Conference Series 583 (2015) 012006 doi:10.1088/1742-6596/583/1/012006
2
 
 
 
 
 
 
single configuration Hartree-Fock Method with relativistic corrections, and no modification was done 
to include CP effects in the Hamiltonian. As suggested by Migdalek & Baylis [11], core polarization 
approximately describes the core-valence correlation effects. As it  is shown in table 1 and table 2 we 
present  calculations with two values of the polarizability using different ion cores: one when the core 
has a [Kr]4d105s2 (WXXVII) (α= 0.233a0
3 [12] structure, and another for transitions that preserve the 
[Kr]4d10 (WXXIX) core (α= 0.0716 a0
3). For this last value of polarizability we considered the 
expression [4]:  
 
   = 4  
      ´ ´,   
 
  
 ´ ´,  
   
                                                             
where f is the oscillator strength of the transition,  its corresponding wavelength, and Ry is the 
Rydberg constant. 
 
2.3  Relativistic Dirac–Fock calculations 
 
The GRASP package solves the Dirac equations within the framework of relativistic quantum theory 
[5]. This program offers energy levels wavelength and dipole transition rates from a 
multiconfigurational, relativistic approach. The configurations included in the calculation were: 4f 14 
5s, 4f 14 5d, 4f 13 5s5p, 4f 14 5p, 4f 13 5s2, 4f13 5p2 and 4f13 5s5d. 
 
3. Results and conclusion 
In  table1  and  table 2   we  present  the  calculations  described   above  for  transitions  5s-5p,   5p-5d 
respectively. The Slater parameters (section 2.1) were scaled at 85% of their RHF values. In table 1 we 
compared our results with the Reference [3] showing good accordance between HFR  for  5s 
2S1/2 - 
5p2P1/2  to experimental wavelength. 
 
Table 1 Wavelengths, transition rates and oscillator strengths for 5s – 5p transition of WXIV 
Transition HFR 
  [Å] 
MCDF 
    [Å] 
Ref[3] 
    [Å] 
Experimental 
Wavelength[3] 
Log gf 
 
gA gA CP 
α = 
0.0716 a0
3 
gA CP 
α = 
0.233 a0
3 
5s 2S1/2-5p
2P1/2 365.9 372.1 366.2 365.3 -0.288 2.564 10
10 2.203 1010 1.843 1010 
5s 2S1/2-5p
2P3/2 264.2 263.2 263.7 258.2 0.145 1.332 10
11 1.141 1011 9.571 1010 
 
 
Table 2 Wavelengths, transition rates and oscillator strengths for 5p–5d transition of WXIV 
Transition HFR 
  [Å] 
MCDF 
    [Å] 
Log gf 
 
gA gA CP 
α = 
0.0716 a0
3 
gA CP 
α = 
0.233 a0
3 
5p 2P1/2-5d 
2D3/2 194.1 192.8 0.322 3.711 10
11 3.231 1011 2.955 1011 
5p 2P3/2-5d 
2D3/2 243.9 243.5 -0.433 4.131 10
10 3.655 1010 3.284 1010 
5p 2P3/2-5d 
2D5/2 233.9 233.2 0.532 4.151 10
11 3.680 1011 3.3020 1011 
 
The difference between the various calculations can be summarized as follows: GRASP took into 
account relativistic effects by means of a more complete approach than Cowan’s package by the HFR 
method;  HFR took into account correlation effects in a more complete way. Finally, in the HFR + CP, 
not only were correlation effects considered more deeply, but core polarization effects were taken into 
account in the gA calculations for the different values of polarizabilities. 
 
 
17th International Conference on the Physics of Highly Charged Ions IOP Publishing
Journal of Physics: Conference Series 583 (2015) 012006 doi:10.1088/1742-6596/583/1/012006
3
 
 
 
 
 
 
Acknowledgment 
This research was supported by the Consejo Nacional de Investigaciones Científicas y Técnicas 
(CONICET), Argentina, by the Coordenaçăo de Aperfeiçoamento de Pessoal de Nível Superior 
(CAPES) and by the Conselho Nacional de Pesquisa (CNPq), Brazil. The Comisión de Investigaciones 
Científcas de la Provincia de Buenos Aires (CIC), where J. G. Reyna Almandos and M. Raineri are 
researchers, is also gratefully acknowledged 
 
References 
[1] Curtis L J, and Ellis D G 1980 Phys. Rev. Lett. 45 2099  
[2] Theodosiou C E, and Raftopoulos  V  1982 Phys. Rev. A 28 1186  
[3] Hutton R, Zou Y,. Reyna Almandos J, Biedermann C, Radtke R R, Greier A, and Neu R 2003 Nuc. 
Instrum. Methods Phys. Res. B 205 114 
[4] Cowan R D 1981 The Theory of Atomic Structure and Spectra (Berkeley, CA: University of 
California Press)  
[5] Dyal KG, Grant IP, Johnson C T, Parpia F A and Plummer E P  1989 Comp. Phys. Commun. 55 
425 
[6] Kramida A E and Shirai T  2009 At. Data Nucl. Data Tables 95 ,305 
[7] Raineri M, Gallardo M, Pagan C J B,. Trigueiros AG  and Reyna Almandos 2012  J. Quantum. 
Spectrosc. Radiat. Transfer 113 1612 
[8] Curtis L J 2003 Atomic structure lifetimes: a conceptual approach (Berkeley, CA: University of 
California Press) 
[9] Biémont, E, Buchard V, Garnir H -P, Lefébvre, P –H and Q uinet P  2005  Eur. Phys. J. D 33  181 
[10] Quinet, P, Palmeri, P, Biémont, E, McCurdy, M M, Rieger, G, Pinnington, E H, Wickliffe M E, 
Lawler J E  1999 Mon. Not. R. Astron. Soc. 307  934 
[11] Migdalek, J., Baylis, W. E. 1978 J. Phys. B : At. Mol. Opt .Phys. 11, L497 
[12] Fraga S, Muszyñska J  1981 Atoms in external fields ( Elsevier Science and Technology) 
 
 
 
 
 
17th International Conference on the Physics of Highly Charged Ions IOP Publishing
Journal of Physics: Conference Series 583 (2015) 012006 doi:10.1088/1742-6596/583/1/012006
4


English

New spectroscopic data for atomic tungsten XIV

Servicio de Difusión de la Creación Intelectual

Journal of Physics: Conference SeriesOPEN ACCESSNew spectroscopic data for atomic tungsten XIVTo cite this article: M Raineri et al 2015 J. Phys.: Conf. Ser. 583 012006 View the article online for updates and enhancements.Related contentFrequency of Binaries in the Open ClusterTrumpler 14Beatriz García, Stella Malaroda, HugoLevato et al.-UV-Bremsstrahlung from TungstenP.O. Nilsson and C.G. Larsson-Analysis of the Spectra of Pd-LikePraseodymium and Neodymium (Pr XIVand Nd XV)S S Churilov, A N Ryabtsev, J-F Wyart etal.-This content was downloaded from IP address 163.10.34.204 on 29/10/2019 at 21:07      New spectroscopic data for atomic tungsten XIV  M Raineri 13, J  Reyna Almandos 1, M  Gallardo 1, C J B Pagan 2  1Centro de Investigaciones Opticas (CIOp), CC 3, 1897 Gonnet, La Plata, Argentina 2School of Electrical and Computer Engineering, University of Campinas (UNICAMP), 13083-970 Campinas, SP, Brazil   3E-mail: monicar@ciop.unlp.edu.ar  Abstract. The thirteen times ionized tungsten is isoelectronic with PmI. Wavelengths and transition probabilities for the 5s-5p and 5p-5d transitions of WXIV, identifying the ground state as 4f13 5s2 2F7/2 were calculated. Both, a relativistic Hartree Fock approach, including core-polarization effects, and a purely relativistic multiconfiguration Dirac-Fock method were used for the calculations. Particularly, 5s-5p transitions were compared with experimental results obtained with VUV electron beam ion trap (EBIT) spectroscopy. 1.  Introduction The thirteen times ionized tungsten (WXIV) is isoelectronic with PmI. Reliable spectroscopic parameters in the tungsten atom are of fundamental importance for the study of fusion plasmas, but some discrepancies remain unsolved.  On one hand, Curtis and Ellis [1], using a nonrelativistic single-configuration model, identified the collapse of the 4f orbital and predicted  the wavelengths for 5s-5p transitions setting the ground state as [Kr] 4d10 4f14 5s 2S1/2. On the other, Theodosiou and V. Raftopoulos [2] used a more sophisticated multiconfigurational relativistic approach to identify the ground state as 4f13 5s2 2F5/2, but predicting the wavelengths of 5s-5p transitions far away from the experimental values [3]. In this work we made HFR[4] and GRASP [5] calculations for wavelength and transition probabilities for the 5s-5p (table 1) and 5p-5d (table 2) transitions, identifying the ground state as 4f13 5s2 2F7/2  in accordance with the paper of Kramida [6], showing good agreement with the observed values of the reference [3]. We also took into account the core polarization effects that refer to the deformation of the internal atomic orbitals due to the orbit of the active electron, which repels the remaining electrons (section 2.2)  2. Theory and discussions Three calculation methods were used in this paper to obtain the wavelengths gA and gf. For the first two methods, Cowan’s package [4] was used, and the third method used the GRASP relativistic program [5].  2.1. The Relativistic Hartree–Fock method In Cowan’s package, wavefunctions are calculated in a Hartree–Fock approximation with relativistic corrections. The wavefunctions are used to calculate a multiconfigurational energy matrix. Both the eigenvalues and the eigenvectors of the matrix are functions of the Slater parameters, i.e., functions of the average configuration energy Eave, electrostatic direct Fk and exchange Gk integrals,configuration 17th International Conference on the Physics of Highly Charged Ions IOP PublishingJournal of Physics: Conference Series 583 (2015) 012006 doi:10.1088/1742-6596/583/1/012006Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distributionof this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.Published under licence by IOP Publishing Ltd 1      interaction integrals Rk, and spin–orbit parameters ζnl, as well as the coefficients of the multiconfigurational expansion ( Ref. [4, Eq. (16.7)]). This method was used in several previous paper (see for example M.Raineri et.al Ref [7]) In this calculation the following configurations were included: 4f 14 5s, 4f 14 5d, 4f 13 5s5p, 4f 13 5p5d,   4f 14 5p, 4f 13 5s2, 4f12 5s25p, 4f13 5p2 and 4f13 5s5d for both parities. Figure 1 shows the average energy values (Eave) along the promethium isoelectronic sequence of all configurations considered in our Relativistic Hartree-Fock calculation.                          Figure 1. The average energy values (Eave) along the promethium isoelectronic sequence of all configurations considered in our Relativistic Hartree-Fock calculation  In figure 1 we can observe that the ground state of Pm-like ions starting with W XIV, is the odd-parity 4f135s2 and in our relativistic approach it predicts the change to happen at Ir XVII. In accordance with the paper of Kramida [6]  our HFR[4]  and GRASP[5] calculations identify the ground state as 4f13 5s2 2F7/2  separated from the first excited state 4f13 5s2 2F5/2  by approximately 18000 cm -1 .  2.2  Hartree–Fock plus core polarization We included the Core Polarization (CP) effects (see, for example, Curtis L.J. [8] and Biémont [9]) just by replacing the dipole integral                                        ∫      ( )   ´ ´( )     → ∫        .  1 −           /     ´ ´( )   −         ∫      ( )  ´ ´( )    Here αd is the electric dipole polarizability of the core, and rc is the cut-off radius, which defines the boundaries of the atomic core. This is the same modification used by Quinet [10] to correct transition matrix elements when including CP effects. In our case, the radial functions were obtained from the -2000000200000400000600000800000100000012000001400000160000018000004f135p5d4f145d4f135s5d4f135p24f145p4f135s5p4f125s25p4f135s24f145sAuXIXPtXVIIIIrXVIIOsXVIReXVWXIVEave (cm-1)17th International Conference on the Physics of Highly Charged Ions IOP PublishingJournal of Physics: Conference Series 583 (2015) 012006 doi:10.1088/1742-6596/583/1/0120062      single configuration Hartree-Fock Method with relativistic corrections, and no modification was done to include CP effects in the Hamiltonian. As suggested by Migdalek & Baylis [11], core polarization approximately describes the core-valence correlation effects. As it  is shown in table 1 and table 2 we present  calculations with two values of the polarizability using different ion cores: one when the core has a [Kr]4d105s2 (WXXVII) (α= 0.233a03 [12] structure, and another for transitions that preserve the [Kr]4d10 (WXXIX) core (α= 0.0716 a03). For this last value of polarizability we considered the expression [4]:      = 4        ´ ´,       ´ ´,                                                                  where f is the oscillator strength of the transition,  its corresponding wavelength, and Ry is the Rydberg constant.  2.3  Relativistic Dirac–Fock calculations  The GRASP package solves the Dirac equations within the framework of relativistic quantum theory [5]. This program offers energy levels wavelength and dipole transition rates from a multiconfigurational, relativistic approach. The configurations included in the calculation were: 4f 14 5s, 4f 14 5d, 4f 13 5s5p, 4f 14 5p, 4f 13 5s2, 4f13 5p2 and 4f13 5s5d.  3. Results and conclusion In  table1  and  table 2   we  present  the  calculations  described   above  for  transitions  5s-5p,   5p-5d respectively. The Slater parameters (section 2.1) were scaled at 85% of their RHF values. In table 1 we compared our results with the Reference [3] showing good accordance between HFR  for  5s 2S1/2 - 5p2P1/2  to experimental wavelength.  Table 1 Wavelengths, transition rates and oscillator strengths for 5s – 5p transition of WXIV Transition HFR   [Å] MCDF     [Å] Ref[3]     [Å] Experimental Wavelength[3] Log gf  gA gA CP α = 0.0716 a03 gA CP α = 0.233 a03 5s 2S1/2-5p2P1/2 365.9 372.1 366.2 365.3 -0.288 2.564 1010 2.203 1010 1.843 1010 5s 2S1/2-5p2P3/2 264.2 263.2 263.7 258.2 0.145 1.332 1011 1.141 1011 9.571 1010   Table 2 Wavelengths, transition rates and oscillator strengths for 5p–5d transition of WXIV Transition HFR   [Å] MCDF     [Å] Log gf  gA gA CP α = 0.0716 a03 gA CP α = 0.233 a03 5p 2P1/2-5d 2D3/2 194.1 192.8 0.322 3.711 1011 3.231 1011 2.955 1011 5p 2P3/2-5d 2D3/2 243.9 243.5 -0.433 4.131 1010 3.655 1010 3.284 1010 5p 2P3/2-5d 2D5/2 233.9 233.2 0.532 4.151 1011 3.680 1011 3.3020 1011  The difference between the various calculations can be summarized as follows: GRASP took into account relativistic effects by means of a more complete approach than Cowan’s package by the HFR method;  HFR took into account correlation effects in a more complete way. Finally, in the HFR + CP, not only were correlation effects considered more deeply, but core polarization effects were taken into account in the gA calculations for the different values of polarizabilities.   17th International Conference on the Physics of Highly Charged Ions IOP PublishingJournal of Physics: Conference Series 583 (2015) 012006 doi:10.1088/1742-6596/583/1/0120063      Acknowledgment This research was supported by the Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina, by the Coordenaçăo de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) and by the Conselho Nacional de Pesquisa (CNPq), Brazil. The Comisión de Investigaciones Científcas de la Provincia de Buenos Aires (CIC), where J. G. Reyna Almandos and M. Raineri are researchers, is also gratefully acknowledged  References [1] Curtis L J, and Ellis D G 1980 Phys. Rev. Lett. 45 2099  [2] Theodosiou C E, and Raftopoulos  V  1982 Phys. Rev. A 28 1186  [3] Hutton R, Zou Y,. Reyna Almandos J, Biedermann C, Radtke R R, Greier A, and Neu R 2003 Nuc. Instrum. Methods Phys. Res. B 205 114 [4] Cowan R D 1981 The Theory of Atomic Structure and Spectra (Berkeley, CA: University of California Press)  [5] Dyal KG, Grant IP, Johnson C T, Parpia F A and Plummer E P  1989 Comp. Phys. Commun. 55 425 [6] Kramida A E and Shirai T  2009 At. Data Nucl. Data Tables 95 ,305 [7] Raineri M, Gallardo M, Pagan C J B,. Trigueiros AG  and Reyna Almandos 2012  J. Quantum. Spectrosc. Radiat. Transfer 113 1612 [8] Curtis L J 2003 Atomic structure lifetimes: a conceptual approach (Berkeley, CA: University of California Press) [9] Biémont, E, Buchard V, Garnir H -P, Lefébvre, P –H and Q uinet P  2005  Eur. Phys. J. D 33  181 [10] Quinet, P, Palmeri, P, Biémont, E, McCurdy, M M, Rieger, G, Pinnington, E H, Wickliffe M E, Lawler J E  1999 Mon. Not. R. Astron. Soc. 307  934 [11] Migdalek, J., Baylis, W. E. 1978 J. Phys. B : At. Mol. Opt .Phys. 11, L497 [12] Fraga S, Muszyñska J  1981 Atoms in external fields ( Elsevier Science and Technology)      17th International Conference on the Physics of Highly Charged Ions IOP PublishingJournal of Physics: Conference Series 583 (2015) 012006 doi:10.1088/1742-6596/583/1/0120064

http://sedici.unlp.edu.ar/bitstream/handle/10915/85827/Documento_completo.pdf?sequence=1

New spectroscopic data for atomic tungsten XIV

Abstract

Similar works

Full text

Available Versions

SEDICI - Repositorio de la UNLP

Servicio de Difusión de la Creación Intelectual