{"id":"6da77670-b40b-46bb-8828-8a6ee9cfe226","arxiv_id":"2507.01218","paper_version":1,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":4.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"LOMS.cz is an open web and code platform that automates Judd-Ofelt parameter fitting and combinatorial Judd-Ofelt analysis, validated against literature values for ten rare-earth ions.","lead":"Researchers built LOMS.cz, a free online platform that automatically fits Judd-Ofelt parameters from rare-earth absorption spectra and computes radiative lifetimes and branching ratios. The platform also offers a large database of published Judd-Ofelt parameters and a combinatorial mode that tries many band combinations to stabilize fits.","discovery_kind":"extension","skeptic_critique":{"model":"deepseek-v4-flash","headline":"Equation 14a/14b misstates least-squares uncertainty: ΔΩ_i should be RMS·√F_ii, not √(F_ii·RMS); if the software implements the printed form, every exported JO parameter uncertainty is understated.","rationale":"The paper's central accomplishment—a working, web-based JO/C-JO platform with convincing reproduction of literature parameters and radiative lifetimes—is supported by Table 2 and Table 3, and the repository/appear to be functional. The reader's weakest assumption concerns input fidelity: tabulated U^(2),U^(4),U^(6) values and barycenter conventions. That is a legitimate external-input concern. My strongest internal concern is different and, I think, more immediately decisive: Eq. 14a/14b implements the wrong least-squares error propagation. Taking Eqs. 13a, 16a, and 17a literally, the covariance matrix is RMS²F, so the printed formula √(F_ii·RMS) is off by 1/√RMS and will dramatically understate uncertainties. Since the platform explicitly exports ΔΩ values and the abstract emphasizes rigorous uncertainty quantification, this error directly touches the reliability claim, not just a peripheral typo. It is correctable, so it does not require moving the verdict beyond CONDITIONAL; the reader's conditional verdict should stand, with the manuscript revised to fix Eq. 14 and the software checked against the covariance identity.","tokens_in":929,"tokens_out":825,"duration_ms":132771,"concrete_test":"Independently recompute the TZB:Er example from the Technical Validation section: assemble the u matrix from the seven manifolds using Eq. 16a, form F=(uᵀu)⁻¹ via Eq. 17a, and compute σ(Ω_i)=RMS_f·√F_ii using the RMS_f that accompanies the published fit. Compare these three values with the ΔΩ2/ΔΩ4/ΔΩ6 displayed in the LOMS.cz GUI or export file for the same input. If the exported values equal √(F_ii·RMS_f) rather than RMS_f·√F_ii, the software contains the Eq. 14 error and all reported parameter uncertainties need to be rescaled by 1/√RMS.","verdict_should_be":"UNCHANGED","load_bearing_attack":"Eqs. 13a/13b define RMS as the root mean square residual, √(Σres²/(W−3)). In the linear least-squares problem posed by Eqs. 16a/17a, the parameter covariance is RMS²·(uᵀu)⁻¹ = RMS²·F, so the standard error is ΔΩ_i = RMS·√F_ii. Eq. 14a instead prints ΔΩ_i = √(F_ii·RMS), which is a factor of 1/√RMS too small. For typical oscillator-strength fits with RMS_f ≈ 10⁻⁷, the quoted ΔΩ becomes roughly 3000× too small; for linestrength fits with RMSS ≈ 10⁻²⁰ cm², the discrepancy is far larger. This matters because the GUI and CSV export explicitly report ΔΩ2, ΔΩ4, and ΔΩ6, and the paper advertises 'detailed uncertainty quantification' and 'reliable parameter extraction.' The validation tables reproduce central Ω values and lifetimes well, but the reported uncertainties—and any database comparisons that rely on them—inherit this bias. Even if the web implementation happens to use the correct covariance identity internally, the printed equation is wrong and the manuscript's uncertainty claims are not supported as written.","agreement_with_reader":"disagree"},"referee_report":{"model":"deepseek-v4-flash","summary":"The manuscript presents LOMS.cz, an open-source web platform for Judd-Ofelt (JO) analysis of trivalent rare-earth spectroscopy. It implements classical JO fitting from absorption cross sections, oscillator strengths, or line strengths; computes transition probabilities, branching ratios, and radiative lifetimes; introduces Combinatorial JO (C-JO) analysis that enumerates all subsets of observed manifolds and uses box-plot outlier rejection to identify stable parameter sets; and provides a curated database of more than 1200 JO parameter records. The workflow and GUI are described in detail, with template files, CSV import/export, and a proposed standardized reporting format. Technical validation reproduces published values of Ω₂, Ω₄, Ω₆ and radiative lifetimes for Er, Dy, Ho, Nd, Pm, Pr, Tb, Sm, and Tm systems, generally within a few percent.","tokens_in":25058,"tokens_out":7644,"duration_ms":77829,"significance":"The platform addresses a real reproducibility gap in rare-earth spectroscopy, where JO calculations are frequently performed with inconsistent conventions and unclear reporting. The paper's strengths are its openly available code, standardized input templates, detailed worked examples, and validation against independent literature values (Walsh, Cavalli, Kaminskii, Shinn, and others), which support the reliability of the core fitting and radiative-property engine. If the uncertainty-quantification issue described below is corrected, LOMS.cz would be a valuable community resource. However, the advertised 'detailed uncertainty quantification' is not supported by the equations as printed, and the validation scope is narrower than the conclusion claims, so the manuscript needs revision before the central claims can be accepted as stated.","major_comments":[{"comment":"The printed formulas ΔΩ_i = √(f_ii·RMS_f) and ΔΩ_i = √(S_ii·RMS_S) are not the standard least-squares standard errors. For the linear model in Eqs. (16)–(17), the parameter covariance is RMS²·(uᵀu)⁻¹ = RMS²·F, so the correct standard error is ΔΩ_i = RMS_f·√(f_ii) (or RMS_S·√(S_ii)). As printed, the uncertainty is understated by a factor of 1/√(RMS): for typical oscillator-strength fits with RMS_f ≈ 10⁻⁷, the quoted uncertainties are about 3000× too small, and for line-strength fits with RMS_S in cm², Eq. (14b) is also dimensionally inconsistent. Because the GUI and CSV export explicitly report ΔΩ₂, ΔΩ₄, and ΔΩ₆, and the paper advertises 'detailed uncertainty quantification' and 'reliable parameter extraction,' this is a load-bearing error. Please correct the equations, or if the software internally uses the correct covariance formula, state this explicitly and reconcile the text.","section":"Error evaluation of Judd-Ofelt analysis, Eqs. (14a)–(14b)"},{"comment":"The conclusion states that LOMS.cz was 'extensively validated across diverse rare-earth systems including all spectroscopically active RE ions in various host matrices.' Table 3 validates nine ions (Er, Dy, Ho, Nd, Pm, Pr, Tb, Sm, Tm); Eu and Gd are absent, and Yb is not amenable to JO analysis because it has only one 4f–4f transition. The claim should be narrowed to the nine tested lanthanides, or the missing ions should be validated.","section":"Technical Validation and Conclusion"},{"comment":"The claim that C-JO 'systematically identifies optimal absorption band combinations' rests on the box-plot whisker criterion for outlier exclusion, but this criterion is presented as an ad hoc statistical choice and is not validated against an independent measure of parameter quality. The Median BP values in Table 3 sometimes differ markedly from the full-set values (e.g., Tb³⁺ in LiTbF₄: Ω₂ median 1.07 vs. full-set 1.50 vs. Median BP 1.52; Sm³⁺ in TeO₂BiCl₃: Ω₂ median BP 0.96 vs. full-set 0.48), and no external metric such as comparison with measured radiative lifetimes is used to demonstrate that the box-plot-reduced combinations are indeed more reliable. Please provide a concrete test of the 'optimal' claim or soften it.","section":"Combinatorial Judd-Ofelt theory and Evaluation protocol"},{"comment":"The abstract describes a 'dynamically expanding database of experimentally validated parameters' and the conclusion refers to 'experimental validation through its integrated database,' but the Code availability section explicitly states that 'their factual accuracy has not been further independently verified.' These statements are inconsistent. The database is a curated literature compilation, not an independently validated set; please qualify the validation claim to avoid overstating the evidence.","section":"Data Records and Code availability"}],"minor_comments":[{"comment":"The number of combinations for NB = 5 is given as 5 in one passage and 6 in another; the correct value is C(5,4) + C(5,5) = 6, as stated later in the Technical Validation section.","section":"Combinatorial Judd-Ofelt theory, Eq. (24)"},{"comment":"The expression labeled λ_H appears to be the reciprocal of a weighted mean, and the distinction between harmonic and weighted mean definitions is not clearly explained; please clarify the definitions and notation.","section":"Judd-Ofelt theory: Experimental practice, Eq. (23)"},{"comment":"Several typographical errors should be corrected: 'experiemntal' (Introduction), 'Figsahere' (Figures 10 and 11 captions), 'structrures' (CSV output section), and 'aquisition' (Author contributions).","section":"Throughout"},{"comment":"The text states that the database contains data for '12 RE3+ ions,' but the list that follows contains 11 template ions (Pr, Nd, Pm, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm); please reconcile this number.","section":"Data Records"}],"recommendation":"major_revision","confidential_remarks":"The uncertainty-formula error in Eqs. (14a)–(14b) is clear-cut and must be fixed before acceptance; the overclaims about validation scope and database verification should also be reconciled. The core fitting and radiative-property engine appears sound on the basis of the independent validations reported in Table 3, so rejection is not warranted; this is a major-revision case rather than a reject case."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"Worth knowing: this is a real software paper with a working tool and a large curated database. The core fitting is validated against independent literature values across ten RE-host systems, and the validation tables are convincing: for Er, Dy, Ho, Nd, Pm, Pr, Tb, Sm, and Tm in various hosts, the full-set Omega values match published values within a few percent, and lifetimes match to three digits in the worked example. Most comparisons are against independent groups (Walsh, Cavalli, Kaminskii, Shinn, etc.), so the central claim is not a self-fulfilling fit.\n\nWhat is actually new: the web platform, the CSV templates, the combinatorial JO workflow (credited to the first author's prior Ref. 33), and the 1200+ record database with a standardized reporting format. That is a legitimate extension of an established program, and the rare-earth spectroscopy community will likely use it.\n\nThe main soft spot is the uncertainty formula. The stress-test note is correct: Eqs. 14a/14b print Delta-Omega_i = sqrt(F_ii * RMS), but the standard least-squares error is RMS * sqrt(F_ii). The printed version is also dimensionally wrong for linestrength fits (cm vs cm^2). If the web tool implements the printed form, every exported parameter uncertainty is far too small; if it implements the correct covariance identity internally, the manuscript still advertises 'detailed uncertainty quantification' with a wrong equation. That needs fixing before publication.\n\nOther soft spots, in proportion: Eq. 23a looks like a typo in the harmonic mean wavelength definition; the abstract and conclusion claim 'all spectroscopically active RE ions' while the validation set lacks Eu, Gd, and Yb (there are practical reasons, but the claim is too broad); the database is called 'experimentally validated' while the Code availability section explicitly says the data have not been independently verified, so a more careful word is needed; and 'open-source' with a non-commercial use license is misleading to readers expecting OSI-style open source.\n\nNone of these break the central tool claim. The Eq. 14 issue is the only load-bearing one, and it is correctable. This deserves a serious referee: the tool and database are useful, but the uncertainty equation and the overclaims need to be fixed before I would trust the exported errors or the database-as-validated framing.","headline":"A genuinely useful, well-validated web platform and database for Judd-Ofelt analysis, but the printed uncertainty formula in Eqs. 14 is wrong and the 'experimentally validated' label oversells the data.","tokens_in":25551,"tokens_out":2483,"would_cite":true,"duration_ms":30573,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"deepseek-v4-flash","headline":"LOMS.cz claims to fully automate Judd-Ofelt analysis for rare-earth materials, from absorption spectra to predicted radiative lifetimes, and validates the pipeline by reproducing published parameters for nine lanthanide dopants.","keywords":["Judd-Ofelt analysis","rare-earth spectroscopy","radiative lifetime","combinatorial parameter extraction","absorption band selection","reduced matrix elements","spectroscopic database","4f transitions"],"falsifier":"Take a doped crystal with an independently measured fluorescence lifetime and a known Stokes shift between absorption and emission; compute $\\Omega_i$ and $\\tau_{\\mathrm{JO}}^r$ with LOMS.cz using absorption mean wavelengths as barycenters, and compare the predicted $\\tau_{\\mathrm{JO}}^r$ to the measured lifetime. If the $\\lambda^{-3}$ dependence of $A(J',J)$ makes the predicted lifetime deviate by more than the reported uncertainty on a host where emission is red-shifted from absorption, the claim that the default barycenter convention yields reliable radiative properties fails.","tokens_in":2157,"feed_emoji":"🔬","tokens_out":4301,"duration_ms":119587,"temperature":0.7,"pith_summary":"This paper presents LOMS.cz, an open-source web platform for Judd-Ofelt (JO) analysis of rare-earth-doped materials. It claims to standardize and automate the full workflow: from measured absorption cross sections (or oscillator strengths, line strengths, or already known JO parameters) to the three phenomenological intensity parameters $\\Omega_2,\\Omega_4,\\Omega_6$, and then to transition probabilities, branching ratios, and radiative lifetimes. Its combinatorial JO (C-JO) mode enumerates every subset of observed absorption bands and applies a box-plot outlier reduction to identify band combinations that yield stable, reliable parameters. The platform ships template files for eleven trivalent lanthanides, a database of over 1200 literature JO parameter records across more than 550 host materials, and a proposed standardized reporting format. A sympathetic reader should care because the paper addresses a real reproducibility problem: JO calculations have been performed for six decades without a common computational convention.","feed_headline":"Open-source platform automates Judd-Ofelt analysis for rare earths","feed_subtitle":"Combinatorial band sweeps stabilize the three Judd-Ofelt parameters and predicted lifetimes across nine rare-earth ions.","key_machinery":"The engine is the classic Judd-Ofelt linear least-squares fit: experimental line strengths $S_{\\mathrm{exp}}(J\\to J')$ obtained from integrated absorption cross sections (Eq. 22) are equated to the theoretical electric-dipole line strength $S_{\\mathrm{ED}} = \\sum_{i=2,4,6}\\Omega_i\\,|U^{(i)}|^2$ (plus a magnetic-dipole term where relevant), and the three $\\Omega_i$ are adjusted by least squares. The load-bearing inputs are the host-insensitive reduced squared matrix elements $U^{(2)}, U^{(4)}, U^{(6)}$, the mean wavelengths, refractive indices, and barycenters. C-JO carries each possible $r$-subset of the $N_B$ observed bands through the same fit (Eq. 24), discards combinations that give negative $\\Omega_i$ values, applies a box/whisker outlier cut, and reports medians of $\\Omega_i$ and min/max radiative lifetimes over the surviving subsets. Uncertainty estimates for each $\\Omega_i$ come from the diagonal of the inverse normal matrix multiplied by the RMS residual, following the error theory cited in the paper.","core_discovery":"The paper's central claim is that LOMS.cz can fully automate the entire computational JO workflow and that Combinatorial Judd-Ofelt analysis systematically identifies optimal absorption band combinations for reliable parameter extraction. The authors validate the claim by recomputing JO parameters and radiative lifetimes for Er$^{3+}$ in tellurite glass, Dy$^{3+}$ in YVO$_4$ and $\\alpha$-KGd(WO$_4$)$_2$, Ho$^{3+}$ in LiYF$_4$ and YAG, Nd$^{3+}$ in Y$_2$O$_3$, Pm$^{3+}$ in lead phosphate glass, Pr$^{3+}$ in RbPb$_2$Cl$_5$, Tb$^{3+}$ in LiTbF$_4$, Sm$^{3+}$ in Sr$_2$SiO$_4$ and TeO$_2$BiCl$_3$, and Tm$^{3+}$ in germanate glass and S-FAP, finding agreement with published values. In the main Er example, LOMS.cz returns $\\Omega_2 = 7.66\\times10^{-20}$ cm$^2$, $\\Omega_4 = 1.51\\times10^{-20}$ cm$^2$, and $\\Omega_6 = 2.21\\times10^{-20}$ cm$^2$, matching the JOFwin2011 comparison values to three significant figures, and the radiative lifetimes agree with the reference to within rounding. The paper further claims that the integrated database enables direct comparison between computed and empirical results and that the proposed output format fills a long-standing reporting gap.","pith_inferences":["If C-JO medians are as stable as the examples suggest, the same sweep could serve as a retrospective audit: legacy papers that report only a full-set fit could be re-analyzed from their tabulated absorption bands, and cases where the full-set value falls outside the box-plot reduced range would indicate a hypersensitive or misassigned transition.","The paper's recommendation to use absorption mean wavelengths as emission barycenters has a testable consequence: because $A(J',J)$ scales as $\\lambda^{-3}$, a systematic Stokes shift between absorption and emission will bias predicted lifetimes; comparing platform predictions against measured fluorescence lifetimes on a Stokes-shifted host would quantify that bias.","The database's growth toward many hosts per ion would allow a statistical mapping of $\\Omega_2$, $\\Omega_4$, $\\Omega_6$ against host properties such as polarizability, covalency, or site symmetry, which the current paper does not attempt; such a map would make the database predictive rather than merely comparative.","Nothing in the paper prevents the same combinatorial machinery from being applied to emission-based JO parametrizations, so the C-JO logic could generalize beyond absorption-band selection to the analysis tools already used for Eu$^{3+}$ emission spectra."],"forward_implications":["With a single set of inputs in four accepted formats, researchers can now obtain $\\Omega_2$, $\\Omega_4$, $\\Omega_6$, transition probabilities $A(J',J)$, branching ratios $\\beta$, radiative lifetimes $\\tau_{\\mathrm{JO}}^r$, and per-parameter uncertainties without hand-coding the fit.","C-JO removes the arbitrary choice of which absorption bands to include: the box-plot reduced median is reported alongside the full-set fit, so the stability of the parameters under band selection becomes visible.","The over-1200-record database covering 12 RE$^{3+}$ ions and more than 550 hosts lets a user query published JO parameters for the same ion and host and compare against a new computation, turning JO analysis into a screening tool rather than a one-off calculation.","The standardized reporting format (manifolds, matrix element sources, refractive index model, magnetic-dipole contribution, uncertainties) gives later readers the information needed to reproduce any reported parameter set.","If the validation across nine lanthanide dopants holds, the platform should be able to predict radiative lifetimes for new rare-earth-doped hosts from absorption measurements alone, flagging promising emission properties before extensive experimental characterization."],"supporting_citations":[{"why":"Establishes the electric-dipole intensity theory whose three $\\Omega_i$ parameters the software fits.","marker":"[14]"},{"why":"Independent derivation of the same intensity parametrization that defines Judd-Ofelt theory.","marker":"[15]"},{"why":"Supplies the template reduced squared matrix elements, default barycenters, and reference implementation values used for validation.","marker":"[2]"},{"why":"Introduces the combinatorial JO method and the tellurite-glass benchmark dataset that the platform reproduces.","marker":"[33]"},{"why":"Supplies the error theory of least-squares fits used to assign the $\\Delta\\Omega_i$ uncertainties.","marker":"[34]"},{"why":"Documents the RMS$_f$ versus RMS$_S$ distinction and the line-strength error formulas implemented in the platform.","marker":"[35]"},{"why":"Contains the eleven ion templates, reference input/output files, and the growing JO parameter database that the platform's claims depend on.","marker":"[43]"}],"fun_headline_variants":["LOMS.cz automates Judd-Ofelt analysis for rare-earth ions","Combinatorial sweeps stabilize Judd-Ofelt parameters","Open-source platform standardizes rare-earth Judd-Ofelt workflows","High-throughput rare-earth spectroscopy with combinatorial JO fits","Automated Judd-Ofelt analysis with optimal absorption band selection"],"cache_read_input_tokens":27776,"weakest_assumption_plain":"The load-bearing premise is that the tabulated reduced squared matrix elements $U^{(2)}, U^{(4)}, U^{(6)}$ taken from a single reference template, the recommended practice of using absorption mean wavelengths as emission barycenters, and the user-supplied integrated absorption cross sections are accurate; if any of these are wrong, every computed $\\Omega_i$ and every derived lifetime shifts.","fun_headline_variants_meta":{"raw":{"variants":["LOMS.cz automates Judd-Ofelt analysis for rare-earth ions","Combinatorial sweeps stabilize Judd-Ofelt parameters","Open-source platform standardizes rare-earth Judd-Ofelt workflows","High-throughput rare-earth spectroscopy with combinatorial JO fits","Automated Judd-Ofelt analysis with optimal absorption band selection"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.000937,"raw_usage":{"total_tokens":4080,"prompt_tokens":1090,"completion_tokens":2990,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":706,"completion_tokens_details":{"reasoning_tokens":2902}},"tokens_in":706,"tokens_out":2990,"duration_ms":23706,"temperature":1.0,"reasoning_tokens":2902,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-06T20:56:30.013349+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"Take a doped crystal with an independently measured fluorescence lifetime and a known Stokes shift between absorption and emission; compute $\\Omega_i$ and $\\tau_{\\mathrm{JO}}^r$ with LOMS.cz using absorption mean wavelengths as barycenters, and compare the predicted $\\tau_{\\mathrm{JO}}^r$ to the measured lifetime. If the $\\lambda^{-3}$ dependence of $A(J',J)$ makes the predicted lifetime deviate by more than the reported uncertainty on a host where emission is red-shifted from absorption, the claim that the default barycenter convention yields reliable radiative properties fails.","supporting_citations":[{"cited_title":"Judd-Ofelt theory: principles and practices","cited_arxiv_id":null,"evidence_quote":"Supplies the template reduced squared matrix elements, default barycenters, and reference implementation values used for validation."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Introduces the combinatorial JO method and the tellurite-glass benchmark dataset that the platform reproduces."},{"cited_title":"& Rajnak, K","cited_arxiv_id":null,"evidence_quote":"Supplies the error theory of least-squares fits used to assign the $\\Delta\\Omega_i$ uncertainties."},{"cited_title":"Error evaluation of Judd-Ofelt spectroscopic analysis","cited_arxiv_id":null,"evidence_quote":"Documents the RMS$_f$ versus RMS$_S$ distinction and the line-strength error formulas implemented in the platform."},{"cited_title":"& Krystufek, R","cited_arxiv_id":null,"evidence_quote":"Contains the eleven ion templates, reference input/output files, and the growing JO parameter database that the platform's claims depend on."}],"review_version":1}