Tailoring Attosecond Charge Migration in Native Molecular Ions
Pith reviewed 2026-05-10 01:44 UTC · model grok-4.3
The pith
An initial charge on a molecule can make attosecond electron dynamics more or less likely to appear, depending on the strength of electron correlation.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
High-level correlated calculations on neutral, protonated, and deprotonated molecules show that the likelihood of observing attosecond electron dynamics can be either degraded or improved by the presence of an initial charge, and that the existence of these dynamics correlates with the strength of electron correlation.
What carries the argument
Hole-mixing that produces purely electronic coherent dynamics in molecular ions, computed with methods that capture electron correlation.
If this is right
- Experiments on charged molecules may need different preparation or detection strategies than those used for neutrals.
- Electron correlation strength offers a practical way to predict whether attosecond charge migration will be observable in a given ion.
- Controlling the charge state of a molecule could serve as a handle to turn the dynamics on or off.
- The same approach can be extended to larger or more complex ions to map how charge affects coherence.
Where Pith is reading between the lines
- In biological contexts where ionization is common, the role of attosecond dynamics in reaction outcomes may differ from what neutral-molecule studies suggest.
- Comparing gas-phase ion results with solution-phase measurements could reveal how environment modifies the charge-migration behavior.
- Design rules for molecules that support or suppress attosecond coherence might emerge from systematic variation of charge and correlation.
Load-bearing premise
The computational methods fully separate the fast electronic hole-mixing motion from any slower nuclear motion or other effects.
What would settle it
Time-resolved measurements on a specific protonated or deprotonated molecule where the calculations predict strong electron correlation and visible attosecond oscillations, or the absence of such oscillations where correlation is predicted to be weak.
Figures
read the original abstract
Attosecond chemistry involves developing strategies to manipulate electronic coherent waves in molecules, which can influence the outcome of photoinduced reactions. While recent progress in this field calls for investigations of increasingly complex isolated or embedded systems, theoretical predictions on attosecond charge migration have remained limited to native neutral species. Since molecules in nature often carry a native charge, there is potential biological and chemical interest in determining whether attosecond charge migration is affected by an additional charge. In this study, we employ high-level correlated methods to study purely electronic dynamics induced by hole-mixing in molecular ions. Our results, obtained for a series of neutral, protonated and deprotonated molecules, reveal that the likelihood of observing attosecond electron dynamics can either be degraded or improved by the presence of an initial charge, and that the existence of the dynamics is correlated with the strength of electron correlation. These findings will stimulate further experimental and theoretical investigations into this unexplored field of attosecond dynamics in molecular ions.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript uses high-level correlated electronic-structure methods (fixed-nuclei, purely electronic hole-mixing) to examine attosecond charge migration across a series of neutral, protonated, and deprotonated molecules. The central claim is that an initial charge can either degrade or enhance the likelihood of observing such dynamics and that the presence of the dynamics correlates with the strength of electron correlation.
Significance. If the computational results hold, the work meaningfully extends attosecond chemistry beyond neutral species to native molecular ions, which are biologically and chemically relevant. The reported correlation between dynamics and electron-correlation strength offers a potential design principle. Credit is due for the systematic comparison across charge states and the explicit focus on the electronic subspace on attosecond timescales.
major comments (2)
- [§3.2] §3.2 (Computational Protocol): the manuscript does not report basis-set or active-space convergence tests for the hole-mixing dynamics; because the central claim rests on quantitative differences between neutral and charged species, the absence of these checks leaves the robustness of the reported trends unverified.
- [§4.1] §4.1 (Correlation Analysis): the statement that 'the existence of the dynamics is correlated with the strength of electron correlation' is presented without a quantitative metric (e.g., a correlation coefficient across the molecular series or a defined correlation-strength index); this weakens the load-bearing conclusion that correlation strength governs observability.
minor comments (3)
- [Abstract] The abstract lists 'a series of neutral, protonated and deprotonated molecules' but does not name the specific species; adding the list (or a table reference) would improve immediate clarity.
- [Figure 3] Figure captions for the time-dependent charge-density plots should explicitly state the isovalue and the color scale convention to avoid ambiguity in interpreting positive/negative regions.
- [Introduction] A short paragraph contrasting the present fixed-nuclei results with any prior nuclear-dynamics studies on the same neutrals would help readers assess the electronic-only approximation.
Simulated Author's Rebuttal
We thank the referee for the positive assessment of our work's significance and for the constructive comments, which help strengthen the manuscript. We address each major point below and will incorporate revisions to improve the robustness and rigor of the presented results.
read point-by-point responses
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Referee: [§3.2] §3.2 (Computational Protocol): the manuscript does not report basis-set or active-space convergence tests for the hole-mixing dynamics; because the central claim rests on quantitative differences between neutral and charged species, the absence of these checks leaves the robustness of the reported trends unverified.
Authors: We agree that explicit convergence tests are necessary to substantiate the quantitative trends central to our claims. In the revised manuscript we will add basis-set and active-space convergence analyses for the hole-mixing dynamics on representative neutral, protonated and deprotonated systems, confirming that the reported differences remain stable under tighter computational thresholds. revision: yes
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Referee: [§4.1] §4.1 (Correlation Analysis): the statement that 'the existence of the dynamics is correlated with the strength of electron correlation' is presented without a quantitative metric (e.g., a correlation coefficient across the molecular series or a defined correlation-strength index); this weakens the load-bearing conclusion that correlation strength governs observability.
Authors: We accept that a quantitative metric would make this conclusion more rigorous. In the revision we will introduce a well-defined correlation-strength index (based on the weight of double excitations in the CASCI wavefunction) and report its Pearson correlation coefficient with the charge-migration amplitude across the full molecular series, thereby providing a numerical measure of the observed relationship. revision: yes
Circularity Check
No significant circularity detected
full rationale
The paper reports results from high-level correlated electronic-structure calculations on fixed-nuclei, purely electronic hole-mixing dynamics across neutral, protonated, and deprotonated molecules. The central findings—that an initial charge can degrade or improve the likelihood of attosecond dynamics and that dynamics existence correlates with electron-correlation strength—are direct numerical outputs of these computations. No derivation chain, equation, or self-citation reduces a claimed prediction or first-principles result to its own inputs by construction. The methodology explicitly isolates the electronic subspace on attosecond timescales, rendering the reported correlations independent of definitional presupposition.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption High-level correlated methods accurately model purely electronic hole-mixing dynamics in molecular ions
Reference graph
Works this paper leans on
-
[1]
Tailoring Attosecond Charge Migration in Native Molecular Ions
and condensed phases [28] that have potential chemi- caland/orbiologicalsignificance[29]. However, whilethe focus has been on neutral molecules, molecules in nature often carry a charge that significantly impacts their prop- erties. This limits the predictability of current investiga- tions concerning their chemical or biological relevance. Therefore, a n...
work page internal anchor Pith review Pith/arXiv arXiv 2026
-
[2]
or even in liquid phase [42, 43] also appears partic- ularly timely. We hope that our findings will stimulate future theoretical and experimental studies along these lines. IV. METHODS For all molecules and ions, we optimized the ground- state geometry at the MP2/cc-pVDZ level using the Gaussian package [44]. We calculated restricted Hartree–Fockorbitalsw...
-
[3]
Corkum, P. B. & Krausz, F. Attosecond science.Nat. Phys.3, 381–387 (2007)
work page 2007
-
[4]
Krausz, F. & Ivanov, M. Attosecond physics.Rev. Mod. Phys.81, 163–234 (2009)
work page 2009
-
[5]
Calegari, F. & Martin, F. Open questions in attochem- istry.Commun. Chem.6(2023)
work page 2023
-
[6]
Calegari, F.et al.Ultrafast electron dynamics in pheny- lalanineinitiatedbyattosecondpulses.Science346, 336– 339 (2014)
work page 2014
-
[7]
Kuleff, A. I. & Cederbaum, L. S. Ultrafast correlation- driven electron dynamics.J. Phys. B: At. Mol. Opt. Phys.47, 124002 (2014)
work page 2014
-
[8]
Remacle, F., Levine, R. D. & Ratner, M. A. Charge directed reactivity: A simple electronic model, exhibiting site selectivity, for the dissociation of ions.Chem. Phys. Lett.285, 25–33 (1998)
work page 1998
-
[9]
Despré, V.et al.Attosecond hole migration in benzene molecules surviving nuclear motion.J. Phys. Chem. Lett. 6, 426–431 (2015)
work page 2015
-
[10]
Mignolet, B., Levine, R. D. & Remacle, F. Charge mi- gration in the bifunctional PENNA cation induced and probed by ultrafast ionization: a dynamical study.J. Phys. B: At. Mol. Opt. Phys.47, 124011 (2014)
work page 2014
-
[11]
Lara-Astiaso, M.et al.Decoherence, control and at- tosecond probing of xuv-induced charge migration in biomolecules. a theoretical outlook.Farad. Disc.194, 41–59 (2016)
work page 2016
-
[12]
Vacher, M., Bearpark, M. J., Robb, M. A. & Malhado, J. P. Electron dynamics upon ionization of polyatomic molecules: Coupling to quantum nuclear motion and de- coherence.Phys. Rev. Lett.118, 083001 (2017)
work page 2017
-
[13]
Yuan, K. & Bandrauk, A. D. Ultrafast x-ray photoelec- tron imaging of attosecond electron dynamics in molec- ular coherent excitation.J. Phys. Chem. A(2019)
work page 2019
-
[14]
S.et al.Molecular modes of attosecond charge migration.Phys
Folorunso, A. S.et al.Molecular modes of attosecond charge migration.Phys. Rev. Lett.126, 133002 (2021)
work page 2021
-
[15]
Zhang, B.et al.Cavity manipulation of attosecond charge migration in conjugated dendrimers.J. Am. Chem. Soc.(2024)
work page 2024
-
[16]
Tremblay, J. C. & Dixit, G. Persistent orbital magnetism from light-induced attosecond charge migration in linear molecules.J. Phys. Chem. Lett.(2026)
work page 2026
-
[17]
Scheidegger, A., Golubev, N. V. & Vaníček, J. J. Can increasing the size and flexibility of a molecule reduce decoherence and prolong charge migration?Proc. Natl. Acad. Sci.122, e2501319122 (2025)
work page 2025
-
[18]
Lara-Astiaso, M.et al.Attosecond pump–probe spec- troscopy of charge dynamics in tryptophan.J. Phys. Chem. Lett.9, 4570–4577 (2018)
work page 2018
-
[19]
Kraus, P. M.et al.Measurement and laser control of at- tosecond charge migration in ionized iodoacetylene.Sci- ence350, 790–795 (2015)
work page 2015
-
[20]
Matselyukh, D. T., Despré, V., Golubev, N. V., Kuleff, A. I. & Wörner, H. J. Decoherence and revival in attosec- ond charge migration driven by non-adiabatic dynamics. Nat. Phys.18, 1206–1213 (2022)
work page 2022
-
[21]
Schwickert, D.et al.Electronic quantum coherence in glycine molecules probed with ultrashort x-ray pulses in real time.Sci. Adv.8, eabn6848 (2022)
work page 2022
- [22]
-
[23]
Cederbaum, L. S. & Zobeley, J. Ultrafast charge mi- gration by electron correlation.Chem. Phys. Lett.307, 205–210 (1999)
work page 1999
-
[24]
Lünnemann, S., Kuleff, A. I. & Cederbaum, L. S. Charge migration following ionization in systems with chromophore-donor and amine-acceptor sites.J. Chem. Phys.129(2008)
work page 2008
-
[25]
Niessen, W. V., Bieri, G., Schirmer, J. & Cederbaum, L. S. Hole-mixing effects in the ionization of some unsat- urated oxo-compounds.Chem. Phys.65, 157–176 (1982)
work page 1982
-
[26]
Sansone, G., Pfeifer, T., Simeonidis, K. & Kuleff, A. I. Electron correlation in real time.Chem . Phys. Chem. 13, 661–680 (2012)
work page 2012
-
[27]
Kraus, P. M. & Wörner, H. J. Perspectives of attosecond spectroscopy for the understanding of fundamental elec- troncorrelations.Angew. Chem. - Int. Ed.57, 5228–5247 (2018)
work page 2018
-
[28]
Hervé, M.et al.Ultrafast dynamics of correlation bands following xuv molecular photoionization.Nat. Phys.17, 327–331 (2021)
work page 2021
-
[29]
Li, S.et al.Attosecond-pump attosecond-probe x-ray spectroscopy of liquid water.Science383, 1118–1122 (2024)
work page 2024
-
[30]
Cavaletto, S. M., Kowalczyk, K. M., Navarrete, F. O. & Rivera-Dean, J. The attoscience of strong-field-driven solids.Nature Reviews Physics7, 38–49 (2025)
work page 2025
-
[31]
Calegari, F.et al.Charge migration induced by attosec- ond pulses in bio-relevant molecules.J. Phys. B: At. Mol. Opt. Phys.49, 142001 (2016)
work page 2016
-
[32]
Despré, V., Golubev, N. V. & Kuleff, A. I. Charge migra- tion in propiolic acid: A full quantum dynamical study. Phys. Rev. Lett.121(2018)
work page 2018
-
[33]
Scheidegger, A., Vaníček, J. & Golubev, N. V. Search for long-lasting electronic coherence using on-the-fly ab Ini- tio semiclassical dynamics.J. Chem. Phys.156(2022)
work page 2022
-
[34]
Breidbach, J. & Cederbaum, L. S. Migration of holes: Formalism, mechanisms, and illustrative applications.J. Chem. Phys.118, 3983–3996 (2003)
work page 2003
-
[35]
Kuleff, A. I., Breidbach, J. & Cederbaum, L. S. Mul- tielectron wave-packet propagation: General theory and application.J. Chem. Phys.123(2005)
work page 2005
-
[36]
Schirmer, J., Trofimov, A. B. & Stelter, G. A non-Dyson third-order approximation scheme for the electron prop- agator.J. Chem. Phys.109, 4734–4744 (1998)
work page 1998
-
[37]
Breidbach, J. & Cederbaum, L. S. Migration of holes: Numerical algorithms and implementation.J. Chem. Phys.126(2007)
work page 2007
-
[38]
Kryzhevoi, N. V. & Cederbaum, L. S. Using ph value to control intermolecular electronic decay.Angew. Chem. - Int. Ed.50, 1306–1309 (2011). 8
work page 2011
-
[39]
Kumar, R. & Vaval, N. Effect of protonation and depro- tonation on electron transfer mediated decay and inter- atomic coulombic decay.Chem. Phys. Chem.24(2022)
work page 2022
-
[40]
He, L.et al.Filming movies of attosecond charge migra- tion in single molecules with high harmonic spectroscopy. Nat. Commun.13, 4595 (2022)
work page 2022
-
[41]
Guiot du Doignon, C., Sinha-Roy, R., Rabilloud, F. & Despré, V. Correlation-driven charge migration trig- gered by infrared multi-photon ionization.Chem. Sci. 16, 16729–16736 (2025)
work page 2025
-
[42]
Wanie, V.et al.A flexible beamline combining XUV attosecond pulses with few-femtosecond UV and near- infrared pulses for time-resolved experiments.Rev. Sci. Instrum.95(2024)
work page 2024
-
[43]
Zhou, J.et al.State-and time-resolved observation of ultrafast intermolecular proton transfer in hydrated biomolecules.Nat. Commun.16, 5838 (2025)
work page 2025
-
[44]
Moore, E.et al.Solvation-induced local structure in liq- uids probed by high-harmonic spectroscopy.Proc. Natl. Acad. Sci.122, e2514825122 (2025)
work page 2025
-
[45]
Zhang, P.et al.Intermolecular coulombic decay in liquid water competes with proton transfer and non-adiabatic relaxation.Nat. Commun.16, 6732 (2025)
work page 2025
-
[46]
J.et al.Gaussian~16 Revision C.01 (2016)
Frisch, M. J.et al.Gaussian~16 Revision C.01 (2016). Gaussian Inc. Wallingford CT
work page 2016
-
[47]
Wilson, A. K., Woon, D. E., Peterson, K. A. & Dunning, T. H. Gaussian basis sets for use in correlated molecular calculations. IX. The atoms gallium through krypton.J. Chem. Phys.110, 7667–7676 (1999)
work page 1999
-
[48]
Mertins, F. & Schirmer, J. Algebraic propagator ap- proaches and intermediate-state representations. I. The biorthogonal and unitary coupled-cluster methods.Phys. Rev. A53, 2140–2152 (1996)
work page 1996
-
[49]
Schirmer, J. & Trofimov, A. B. Intermediate state rep- resentation approach to physical properties of electron- ically excited molecules.J. Chem. Phys.120, 11449– 11464 (2004)
work page 2004
-
[50]
Dey, D., Kuleff, A. I. & Worth, G. A. Quantum interfer- ence paves the way for long-lived electronic coherences. Phys. Rev. Lett.129, 173203 (2022). ACKNOWLEDGEMENTS The authors thank Alexander Kuleff for fruitful dis- cussions. AUTHORS CONTRIBUTIONS F.L. and V.D. conceived the project. E.M.L. per- formed the simulations. All the authors contributed equal...
work page 2022
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