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Article
Peer-Review Record

The Opacity Project: R-Matrix Calculations for Opacities of High-Energy-Density Astrophysical and Laboratory Plasmas

by Anil K. Pradhan 1,2,* and Sultana N. Nahar 1
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Submission received: 14 August 2025 / Revised: 19 September 2025 / Accepted: 2 October 2025 / Published: 20 October 2025
(This article belongs to the Special Issue Electronic, Photonic and Ionic Interactions with Atoms and Molecules)

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

The authors are well versed experts with decades of experience in the field of 
atomic computations and theoretical opacity studies. I would not expect to fault 
them in their own field, but I already see a typo in their list of keywords 
(missing an "n" in resonances"). 
Thus I guess that I should look for what the authors might have let slip, 
because they are so self-assured? 

L 26, ranges should be plural
L 28, transoport has an "o" too many 
L 29, "... the laboratory for astrophysical processes to be benchmarked. They include ..."
Who is "they"? abundances are no processes - 
in L 32 "they" seem to have morphed into parameters. 

I did not expect such a density of language lapses, and such a feeling of misconstrued 
phrases with words sounding specific (such as "countenance" as a verb), but not 
actually hitting the point. The authors are living in the USA - how did they acquire 
such a stilted, misplaced wordage? 

L 35, what are "volatile elemental abundances"? 

L 43, "R-matrix calculations hitherto proved to be intractable" - really? The authors have 
been pursuing R-matrix calculations since decades. This lets me assume that their use 
of "intractable" has deeper meanings. Maybe the authors could move themselves 
to a communication style and level that is understandable also outside of their 
inner circle. Instead of terse (computer) laboratory slang, I should hope for a 
communication with the prospective readers in mind, readers who want to read and 
learn, not just be shown that they are too far away to be taken into account. 

L 40 to 50 provide a valid teaser that makes the reader want to learn more. 

L 46: ref. 8 is cited twice in the same location, but not ref. 9, which apparently 
is the subsequent paper in the same journal issue. 

Citations in sequence 1,2,3,4,5,6,7,8,8,10,11,12,16,24,13,15,20,14,22,28,29,19,
6,15,6,9,9,15,9,12,11,etc reveal that the authors will have to spend more care on the 
organization of their manuscript. 

L 112ff tells of the shortcomings of another study (D21) compared to the authors' own work. 
Such a catalogue of differences is sometimes interesting. 
However, "... D21 did not directly compare their RM cross sections with NP16 cross sections." 
is not a scientific shortcoming, but simply an observation. Such a comprehensive 
critique might better separate technicalities and courtesies from scientific comments. 
Thinking about a description that is easier to understand by somebody who is not 
immediately involved and familiar with such problems might help with the clarity 
of the comment, which does not have to be less damning, of course. 

L 127 "... due to correspondence with energies with strong dipole transitions ..." 
Please decipher. 

Fig. 1 The legend praises the agreement of the RDW results with the background cross 
sections, but this praise should be qualified: Outside of the range of resonances this 
agreement is good, but within the range of the resonances, the situation is unclear at 
best. What is truly background, what is the merger of many resonances? 

Figure 2, "Exemplar" or "Example"? I suggest to add a hint that all curves are 
computational; the red and blue curves show the result of "subjecting" the raw results 
(black) to various electron densities. 

Fig. 3 ought to use the full text width in order to be better readable 

Line 167: " ... are and mainly autoionizing resonances ..."  means what? 

Figure 4, why are the axis labels in different styles? 
dB/dT deserves to be explained

Section 5 is not easily understood by outsiders. Please try to rephrase in simpler 
language. 

L 231 "completness" is incomplete 

Figure 5, why have the axis labels been distorted in different ways? 

Sloppy editing: The punctuation in the reference section is missing blank, comma 
or fullstop at least once each (refs. 1, 5, 18)

Is ref 4 still in press? 

ref. 13 is incomplete, 

is ref. 17 still only available as a Livermore preprint? 

ref 20 has no location of the publisher 

the citation style oscillates between different versions


In short: The topic is appropriate for the journal and a SI. 
The care taken by the authors is visibly insufficient. It is one thing to excel in 
physics, but another to let the reader trust in the authors' competence. 
Poor text editing undermines any trust in the writers. 

Comments on the Quality of English Language

Mostly o.k. language-wise, but senselessly pretentious in parts. 
It would be good to make the text more comprehensible by taking care of the flow 
of logic and checking the actual meaning of the text formulated. 

Author Response

See attached file

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

In this work, Pradhan and Nahar report recent progress and numerical calculations concerning the Opacity Project, towards providing fundamental atomic data in support of high-energy-density astrophysical and laboratory plasma diagnostics. Utilizing standard R-matrix methodology in conjunction with a recently developed treatment of extrinsic plasma broadening effects, the authors compute photoionization cross-sections for Fe XVII and Fe XVIII, monochromatic and Rosseland mean opacities for these species and Fe XIX, as well as opacity data for Fe I. Notably, the authors investigate broadened photoionization spectra and opacity data under a range of plasma conditions, particularly in pertinence to the base of the Solar convective zone and experiments conducted at the Sandia Z Pulsed Power Facility, and also provide some commentary regarding the role of the equation of state.

The manuscript is logically organized and written in a reasonable manner. In my opinion, whilst the report provides an informative update to the broader community in atomic physics for plasma applications, the novelty and potential impact of the work are really rather limited. Beyond this, I would kindly ask the authors to address the following major and minor comments.

Major Comments:

(1) Perhaps the most significant issue surrounding the report is the lack of information that would allow other researchers to reproduce the data. Details concerning the atomic structure calculations and convergence of the photoionization cross-sections and opacities should be provided, as well as any assumed extrapolations. If such details have been provided elsewhere, then those sources should be cited appropriately. Disclosure of this information would aid the proper evaluation of the authors' work by others, and support informed comparisons with future calculations (which is, obviously, of crucial importance in this line of research).

Minor Comments:

(1) On p.g. 1, the keyword "resonances" is misspelled.

(2) The figures are poorly formatted and suffer from careless errors.

(i) In Fig. 1, the vertical axis label of each subplot should read log10 σPI (Mb).

(ii) In Fig. 2, the notation appearing in the vertical axis label of each subplot is inconsistent with respect to Fig. 1.

(iii) The axis labels are problematic in Fig. 3 as well, including "xsec" and "B" (instead of "b" for barn). The individual subfigures are also rather small and difficult to read. Additionally, why is photon energy now measured in keV instead of Ry? It is preferable to maintain the units (and the font for them) consistent throughout.

(iv) Figs. 4 and 5 appear disproportionately large.

(3) The authors state on p.g. 2 that they "examine the Mihalas-Hummer-Daeppen EOS used in the OP work and variants thereof". Contrary to this statement, the manuscript contains no detailed treatment of any such variants. Additionally, can the authors clarify if their findings concerning the equation of state on pp. 8 and 9 have any bearing on the treatment of Stark broadening?

On the basis of the above comments, I cannot recommend the manuscript for acceptance in its present state.

Author Response

See attached file

Author Response File: Author Response.pdf

Round 2

Reviewer 2 Report

Comments and Suggestions for Authors

I thank the authors for their time and consideration in addressing my comments and suggestions. Having assessed the latest version of their manuscript, I can confirm that the amendments have been satisfactory. As such, I can recommend the work for publication in Atoms.

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