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REVIEW 4 major objections 5 minor 114 references

Can electrostatic stresses affect charged water structures in weakly ionized plasmas?

T0 review · 4 major / 5 minor · reviewed 2026-08-15 · deepseek-v4-flash

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Pith's one-line read Nanometer water grains stretch into ellipsoids under electrostatic stress

desk verdict Internally inconsistent but genuinely novel: the conductor-based deformation model is at odds with the paper's own insulator finding, so the onset threshold is solid but the elongation claim is not. read the letter →

arxiv 2505.06429 v1 pith:A5GW5JLG submitted 2025-05-09 physics.plasm-ph

Efstratios M. Kritikos , William A. Goddard III , Paul M. Bellan This is my paper · ORCID
classification physics.plasm-ph PACS 52.27.Lw
keywords dustyplasmawatericegrainselectrostaticstresssurfacetensiongrainelongationellipsoidalsolvatedelectronsTolmanlength
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper seeks to show that charged water grains in a weakly ionized plasma are not necessarily spherical: if the outward electrostatic stress from repelling surface electrons meets or beats the inward surface-tension stress at the grain tip, a spherical grain elongates into an ellipsoid. The authors derive an analytic inequality (their Eq. 32) that separates deforming from non-deforming grains, and they confirm the predicted onset of deformation in molecular dynamics simulations of 2.5 nm grains charged with about 16 electrons. The result matters because dust grains in astrophysical and laboratory plasmas are commonly assumed spherical, and elongation changes how grains collect charge, grow, and radiate. The paper also reports quantum-chemistry results showing that surface tension of water clusters increases at small sizes and when electrons are added, which can halt elongation at a maximum aspect ratio.

What carries the argument

The load-bearing machinery is the stress-balance inequality $\tau_E \ge \tau_\gamma$ evaluated at the ellipsoid tip, combined with three ingredients: the conducting-ellipsoid tip charge density of Eq. (30), the Tolman-corrected surface tension $\gamma = \gamma_\infty R/(R + 2\alpha^{4/3}\delta)$ of Eq. (31), and the tip curvature $R_c = R/\alpha^{4/3}$ computed from the prolate spheroid geometry. Inserting these into Eq. (21) produces Eq. (32), whose roots (Eq. 33) define the boundary between grains that elongate and grains that stay spherical. The same inequality, when solved for the spherical limit, reproduces the Rayleigh charge limit when the Tolman length is neglected.

What would settle it

Observe the shape evolution of isolated water grains of radius around 2.5 nm charged to about 16 electrons in a weakly ionized plasma with floating potential near 10 V: the theory predicts the grains should visibly elongate toward an ellipsoid with aspect ratio growing roughly from 1 toward 3-4, while grains near 3.25 nm radius should remain spherical. Seeing no deformation for grains inside the predicted green region of Fig. 6, or seeing deformation for grains above the predicted size limit, would contradict the central claim.

Watch

Extended reading notes

Core claim

The core claim is that the shape stability of a charged water grain is decided at the ellipsoid tip, where the local radius of curvature is smallest and both stresses are largest. For a conducting grain, surface charge piles up at the tip according to Eq. (14)/(30), the electrostatic stress is $\tau_E = \sigma^2/(2\varepsilon_0)$, and the surface-tension stress is $\tau_\gamma = 2\gamma/R_c$ with $R_c = R/\alpha^{4/3}$. Balancing the two gives Eq. (32), a quadratic in the equal-volume radius $R$; its solutions mark the size above which a grain cannot be deformed because its surface charge density $\sigma \propto \Phi/R$ is too low. MD simulations of 2.5 nm radius water grains at 273 K and 220 K show the predicted transition within one electron of the threshold, and ice grains at 220 K become ellipsoids with aspect ratio about 3.4-3.5, consistent with the theory. The paper further argues that on sub-second timescales ice behaves as a conductor (so the equipotential assumption holds on astrophysical timescales), while on nanosecond timescales solvated electrons are strongly bound and the grain is effectively an insulator.

Load-bearing premise

The central threshold calculation assumes the grain is a perfect conductor with an equipotential surface, so all charge sits on the surface with the conducting-ellipsoid distribution of Eq. (14); the paper's own quantum-chemistry results show this fails on nanosecond timescales, when solvated electrons are tightly bound and the grain behaves as an insulator whose arbitrary charge distribution changes the deformation threshold (Section VI).

Editorial extensions

If this is right

  • In a plasma with the parameters of Table I, spherical water grains below about 2 nm radius charged near the floating potential are unstable to elongation; grains above about 1 micrometer remain spherical because their surface charge density falls as $1/R$.
  • Ellipsoidal grains, once formed, will keep growing at their tips by polarizing and accreting incoming water molecules, so elongation can persist even after electrostatic stress alone is no longer sufficient.
  • The threshold charge for deformation is raised by the nanoscale increase in surface tension (negative Tolman length and added electrons), so the final aspect ratio of a deforming grain is set by the tip curvature where Tolman stress stops the elongation.
  • Because deformation proceeds faster than grain charging but slower than molecular relaxation, the constant-charge description used in the MD validation is appropriate on nanosecond timescales, and the constant-potential description becomes appropriate on longer timescales.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The same tip-stress competition should apply to non-water dust grains, so papers predicting spherical grains of any material in dusty plasmas could be re-examined for a similar nanometer-scale elongation window whose threshold depends on material surface tension and floating potential.
  • One testable extension is to measure the maximum aspect ratio of elongated grains as a function of grain size and plasma conditions; if the Tolman picture is right, that ratio should track the size at which the tip radius of curvature reaches about 2 Å.
  • The time-scale ordering (deformation before charging; conduction after microseconds) suggests that laboratory experiments may systematically miss this elongation because they probe grains on the wrong timescales; astrophysical grains with lifetimes of seconds or longer are the natural place to look.
  • Since QM shows solvated electrons raise surface tension, the paper hints at a feedback loop: deformation concentrates electrons at the tips, which locally increases surface tension, which may set the equilibrium aspect ratio - an effect the current analytic model captures only through the global Tolman parameter.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 5 minor

Summary. The paper asks whether electrostatic stresses from accumulated charge can deform nanosized water grains in weakly ionized plasmas. It develops an analytic criterion, Eq. (32), comparing the electrostatic stress at the tip of a conducting prolate ellipsoid with the curvature-dependent surface tension, and finds that grains below roughly a micrometer can elongate once the floating potential is high enough. The model is tested with molecular dynamics simulations of charged water grains at 273 K and 220 K, and the authors report agreement within a few electrons. Quantum-chemistry computations are used to extract a Tolman length for small water clusters and to assess the vertical electron binding energy of solvated electrons, leading to the conclusion that water nanograins behave as insulators on nanosecond timescales but as conductors on timescales of milliseconds or longer. The paper is broad in scope, combining analytic electrostatics, MD validation, and QM calculations.

Significance. If the central claim survives scrutiny, it provides a concrete, falsifiable mechanism for ellipsoidal ice grains in dusty plasmas and a quantitative size threshold that connects plasma parameters, surface tension, and Tolman length. The analytic derivation in Sections II–IV is clean and useful, and the 220 K MD simulations genuinely show ellipsoidal deformation near the predicted charge. The QM calculations of solvated-electron binding and size-dependent surface tension are valuable in their own right, and the authors are unusually explicit about the limitations of their force field and time scales. The main significance is diminished, however, because the quantitative threshold in Eq. (32) is derived for a conducting grain while the paper's own Section VII concludes that the nanoscale grains are insulators on the deformation timescale; this tension is load-bearing and needs to be resolved before the numerical comparison can be considered a validation.

major comments (4)
  1. [§IV, §V, §VI, §VII] The central stability condition, Eq. (32), is derived from the conducting-ellipsoid tip charge density σ_cond(a) of Eq. (30), which assumes an equipotential grain with Q = CΦ. However, Section VII states that on nanosecond time scales the grain behaves as an insulator and that “the actual charge distribution can be arbitrary,” and Section VI shows that a uniform distribution has σ_unif(a)/σ_cond(a) = 3/α². At the aspect ratio reached in the 220 K MD runs (α ≈ 3.4), this ratio is about 0.26, so an insulating grain would need roughly four times more charge to produce the same tip stress. Because the MD electrons are initialized on a 20 Å Fibonacci sphere shell (Section V and SI S2), which mimics the conductor surface distribution, the observed agreement with a 16–17 electron threshold is substantially built into the initial condition. Please either restrict the quantitative claims and the MD comparison to conductor-like grains, or re-derive Eq. (32) for insulating charge distributions using Eq. (39)/(41) and test the threshold with non-surface initial electron distributions.
  2. [§V, Fig. 9] The 273 K MD run at the predicted threshold charge (Ne = 16) is described as leading to “disintegration of the 273 K grain into separate smaller parts instead of a more steady elongation,” and the paper nevertheless concludes that the simulations and theory agree “within a single-electron accuracy.” If Eq. (32) is only a stability threshold, rapid breakup is not necessarily a contradiction, but it is not the same as the predicted ellipsoidal deformation, and the current text conflates these outcomes. Please quantify the comparison explicitly: is the agreement only with the onset charge, or with the shape evolution as well? The wording “excellent agreement” in the abstract and Conclusions should be tempered accordingly.
  3. [§V, Fig. 10 and Table II] The only simulations showing sustained ellipsoidal deformation are the 220 K ice runs, but they use the SPC/E water model, and the authors themselves note that SPC/E has not been tested for ice and that the predicted γSV may differ from experiment. Since γ∞ enters the right-hand side of Eq. (32) linearly, an uncertainty in γSV translates directly into an uncertainty in the predicted threshold charge. The reported deviation of “a couple of electrons” is not accompanied by any estimate of the resulting uncertainty in Qsph,lim. Please provide a sensitivity analysis of Eqs. (35)–(36) to γSV (and to δ) or otherwise bound the force-field error before claiming “good accuracy” for the ice comparison.
  4. [§VIII and Table III] The Tolman lengths reported in Table III are fitted from QM surface tensions computed with an assumed planar reference value γ∞→(H2O)66 = 0.1 N/m, while Eq. (32) and Table S1 use γ∞ = γSV = 0.109 N/m or γLV = 0.076 N/m. Because δ is extracted from the ratio γ/γ∞ via Eq. (50), the fitted δ values are conditional on the assumed γ∞; transplanting those δ values into Eq. (32) with a different γ∞ may be inconsistent. Given the wide spread of literature values (−2 to 1.5 Å in Fig. 14a), the authors should state how the fitted δ depends on the assumed γ∞ and what uncertainty this introduces into the predicted threshold curves.
minor comments (5)
  1. [§V] The water model is introduced as “SCP/E” but the standard acronym is SPC/E; please correct this typo throughout.
  2. [Table S1] The charge column in Table S1 lists values such as −16.42 e; the negative sign is presumably a charge-sign convention, but since the surrounding text refers to the number of electrons, please make the sign convention explicit.
  3. [§VI] Equation (39) is stated without derivation; a short derivation from Eqs. (22), (28), and (41) would help the reader see how the uniform-distribution threshold is obtained.
  4. [Fig. 14] The citation labels in Fig. 14(a) are dense and difficult to read at the printed size; consider a table of references or a larger figure panel.
  5. [§VII] The estimate τc ≈ 3 × 10⁻³ s uses the conductivity of pure ice at −40 °C, but the discussion then extrapolates to astrophysical temperatures that are much lower; please state explicitly how τc scales with temperature and whether the conductor assumption remains valid at those temperatures.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: threshold derives from independent electrostatics and surface-tension inputs; MD is an independent test, and the conductor-assumption caveat is acknowledged.

full rationale

The main derivation chain is self-contained. The floating potential Phi is obtained from OML theory using external plasma parameters and standard formulas (Eqs. 1-4), the electrostatic stress uses the textbook conducting-ellipsoid surface charge density (Eqs. 13-14, 28-30), and the surface-tension stress uses experimental planar surface tensions and the standard Tolman form (Eqs. 22, 31). Equation (32) is an inequality that equates these two independently defined stresses; it is not a restatement of either input. The MD simulations are not used to fit any parameter of Eq. (32). They are initialized with a conductor-like electron distribution (electrons on a 20 Angstrom spherical shell, Section V and S2), so the MD test is conditional on the same conductor assumption, but the threshold charge is not fitted to the MD outcome; the MD deformation at Ne=16 is a genuine numerical check. The Tolman length delta = -0.5 Angstrom used in Table S1 comes from the paper's own QM fits (Table III), so Q_sph,lim is conditional on that computed constant; however, the delta=0 Rayleigh-like value is 16.08 e and the MD agreement does not depend on the fitted delta, so this is not a fitted-input-called-prediction. Section VII explicitly states that on nanosecond time scales water grains behave as insulators and 'the actual charge distribution can be arbitrary'; this is a validity limitation of the conductor-based threshold for real plasma-charged nano-grains, not a circular definition. The self-citations (e.g., Ref. 13 for ellipsoid capacitance and the deformation idea) point to standard electrostatics or to prior experiments and are not used as an unverified uniqueness constraint. No equation in the paper reduces to its own input by construction, and no prediction is statistically forced by a fit to the data it claims to predict.

Assumptions & free parameters 4 free parameters · 7 assumptions · 0 invented entities

The paper introduces no new particles, forces, or conserved quantities. The fitted Tolman length and assumed gamma_inf are parameters, not entities. The MD solvated-electron potential is calibrated to existing QM data. The central stability condition relies on the fitted delta and on the assumed planar surface tension, which are the main inputs the reader does not get from first principles.

free parameters (4)
  • Tolman length delta = -0.40 to -0.83 Å (Table III); -0.5 Å used for MD threshold estimates
    Fitted to the paper's own QM surface tension curves (Fig. 16, Table III); enters the central stability condition Eq. (32)-(33) through Eq. (31), so the predicted threshold scales with this fitted value.
  • gamma_inf (planar surface tension) assumed in QM analysis = 0.1 N/m (assumed)
    Section VIII states 'a value of gamma_inf = 0.1 N/m is assumed' because the planar limit is computationally unfeasible; the fitted delta values and all QM surface tensions are relative to this assumed value, introducing uncertainty into the curvature correction.
  • Minimum radius of curvature cutoff Rc_min = 2 Å
    Selected in Section IV as representing the minimum possible radius of curvature for water clusters; used to truncate the solution curves of Eq. (33), and the qualitative diagrams depend on this cutoff.
  • MD solvated-electron Lennard-Jones parameters = sigma_eH=1.46998 Å, epsilon_eH=2.052 kcal/mol, sigma_eO=2.36088 Å, epsilon_eO=0.232 kcal/mol
    Fitted in Section S2 to relative energies from Kumar et al. (external QM data); these calibrate the MD model used for validation, so the simulated deformation threshold depends on them.
assumptions (7)
  • domain assumption OML theory: spherical conducting grain, collisionless ions and electrons, grain much smaller than ion Debye length.
    Used in Section II to compute the floating potential Phi and charge Q (Eqs. 1-4), which enter the stability condition through Phi in Eq. (32).
  • domain assumption The grain is a perfect conductor with an equipotential surface and conducting-ellipsoid surface charge density (Eq. 14).
    Used in Sections IV-V to derive the electrostatic stress at the tip (Eq. 30) and the central inequality Eq. (32); the paper's own Section VII concludes this is invalid on nanosecond time scales, which are the MD time scales.
  • domain assumption Tolman equation gamma = gamma_inf / (1 + 2 delta / Rc) with a size-independent delta.
    Used in Eq. (31) and Eq. (50) to model size-dependent surface tension; the paper notes the literature disagrees on the sign and magnitude of delta, and some studies use the alternative form gamma = gamma_inf (1 - 2 delta / r).
  • domain assumption Surface tension is computed from Gibbs free energy under thermodynamic equilibrium (Eq. 53).
    Used in Section VIII for QM clusters; the paper itself notes the plasma and grains are not in thermodynamic equilibrium at the relevant timescales, so the applicability of Eq. (53) to the deformation problem is questionable.
  • domain assumption SPC/E water model accurately represents liquid water, and by extension ice, in MD simulations.
    Used in Section V; the paper states the SPC/E model 'has not been tested for ice to the best of the authors' knowledge', so the 220 K ice MD results carry this assumption.
  • domain assumption Grain deformation occurs at constant charge, faster than the charging time.
    Justified in Section V via the charging time estimate tau_q ~ 100 microseconds vs nanosecond MD runs; reasonable for the simulations but an assumption for extrapolation to plasma conditions.
  • domain assumption Conductivity of ice at astrophysical temperatures is approximated by the -40 C value xi = 3e-9 S/m.
    Used in Section VII to estimate tau_c ~ 3 ms; the paper acknowledges the conductivity has strong temperature dependence and the astrophysical grains are colder, so the conductor timescale may be longer.

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Cite this review

Pith. "Pith review of Can electrostatic stresses affect charged water structures in weakly ionized plasmas?." pith.science (2026). https://pith.science/paper/A5GW5JLG

@misc{pith2026250506429,
  author       = {Pith},
  title        = {Pith review of: Can electrostatic stresses affect charged water structures in weakly ionized plasmas?},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/A5GW5JLG}},
  note         = {Machine review of arXiv:2505.06429}
}
read the original abstract

This theoretical and numerical study investigates the impact of electrostatic stresses on the shape of charged water structures (grains) in weakly ionized plasmas. We developed an analytic model to predict the conditions under which a grain in a plasma is deformed. We find that electrostatic stresses can overcome the opposing surface tension stresses on nanometer-scale grains, causing initially spherical clusters to elongate and become ellipsoidal. The exact size limit of the grain for which electrostatic stress will dominate depends on the floating potential, surface tension, and local radius of curvature. Clusters larger than this limit are not affected by electrostatic stresses due to an insufficient number of electrons on the surface. The model is compared to Molecular Dynamics (MD) simulations performed with a calculated solvated electron potential on initially spherical grains of 2.5 nm radius charged with 0.5 to 1% electrons. We find excellent agreement between MD simulations and the analytic theory. We also carried out Quantum Mechanics (QM) computations showing that the surface tension increases with decreasing size of the water molecule cluster and increases even more with the addition of solvated electrons. This increase in surface tension can hinder the elongation of the grains. Our QM computations also show that on the nanosecond time scale, the binding force of electrons to water molecule clusters is stronger than the electrostatic repulsion between adjacent electrons, and thus the cluster behaves as an insulator. However, consideration of the very small conductivity of ice shows that on time scales of a fraction of a second, ice clusters behave as conductors, so their surface may be considered to be at an equipotential.

Figures

Figures reproduced from arXiv: 2505.06429 by the authors.

Figure 1
Figure 1. FIG. 1. Parametric evaluation of Eq. (1), under different (a) values [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. Comparison of [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. Characteristic lengths and shapes related to an ellipsoid: (i) [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figures from the paper (12 more)
Figure 4
Figure 4. Figure 4: FIG. 4. Plot of [PITH_FULL_IMAGE:figures/full_fig_p004_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5. The ratio of the necessary work to construct the charge dis [PITH_FULL_IMAGE:figures/full_fig_p005_5.png]
Figure 6
Figure 6. Figure 6: FIG. 6. (a) Plot of Eq. (33) for [PITH_FULL_IMAGE:figures/full_fig_p007_6.png]
Figure 7
Figure 7. Figure 7: will move slightly to the right (slightly larger R at con￾stant α). The grain will then be slightly below the Rc = 2 Å slanted line and so will again be in a situation where it is unsta￾ble to become more ellipsoidal. It will then move vertically in the figure until it…
Figure 8
Figure 8. Figure 8: FIG. 8. Plot of Eq. (33) for different material and plasma properties. The area to the left of each [PITH_FULL_IMAGE:figures/full_fig_p008_8.png]
Figure 9
Figure 9. Figure 9: FIG. 9. Atomic trajectories of grains with different numbers of electrons at [PITH_FULL_IMAGE:figures/full_fig_p009_9.png]
Figure 10
Figure 10. Figure 10: FIG. 10. Atomic trajectories of grains with different numbers of electrons at [PITH_FULL_IMAGE:figures/full_fig_p010_10.png]
Figure 11
Figure 11. Figure 11: FIG. 11. VEBE of clusters with different numbers of water [PITH_FULL_IMAGE:figures/full_fig_p012_11.png]
Figure 13
Figure 13. Figure 13: FIG. 13. (a) Theoretical model of an ice grain system, i.e., two spher [PITH_FULL_IMAGE:figures/full_fig_p013_13.png]
Figure 14
Figure 14. Figure 14: FIG. 14. (a) [PITH_FULL_IMAGE:figures/full_fig_p014_14.png]
Figure 15
Figure 15. Figure 15: FIG. 15. Total, enthalpic, and entropic surface tension of neutral and charged water clusters at [PITH_FULL_IMAGE:figures/full_fig_p015_15.png]
Figure 16
Figure 16. Figure 16: FIG. 16. Total surface tension of neutral and charged water clusters [PITH_FULL_IMAGE:figures/full_fig_p016_16.png]

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Works this paper leans on

114 extracted references · 73 canonical work pages

  1. [1]

    author author P. K. \ Shukla \ and\ author A. A. \ Mamun ,\ @noop title Introduction to Dusty Plasma Physics \ ( publisher CRC Press ,\ address Boca Raton ,\ year 2001 ) NoStop

    2001

  2. [2]

    Beckers , author J

    author author J. Beckers , author J. Berndt , author D. Block , author M. Bonitz , author P. Bruggeman , author L. Cou \"e del , author G. L. \ Delzanno , author Y. Feng , author R. Gopalakrishnan , author F. Greiner , et al. ,\ @noop journal journal Physics of Plasmas \ volume 30 ( year 2023 ) NoStop

    2023

  3. [3]

    Turco , author O

    author author R. Turco , author O. Toon , author R. Whitten , author R. Keesee ,\ and\ author D. Hollenbach ,\ @noop journal journal Planetary and Space Science \ volume 30 ,\ pages 1147 ( year 1982 ) NoStop

    1982

  4. [4]

    \ Wahlund , author M

    author author J.-E. \ Wahlund , author M. Andr \'e , author A. Eriksson , author M. Lundberg , author M. Morooka , author M. Shafiq , author T. Averkamp , author D. Gurnett , author G. Hospodarsky , author W. Kurth , et al. ,\ @noop journal journal Planetary and Space Science \ volume 57 ,\ pages 1795 ( year 2009 ) NoStop

    2009

  5. [5]

    Moultaka , author A

    author author J. Moultaka , author A. Eckart ,\ and\ author K. Mu z ic ,\ @noop journal journal The Astrophysical Journal \ volume 806 ,\ pages 202 ( year 2015 ) NoStop

    2015

  6. [6]

    Nicolov , author M

    author author A. Nicolov , author M. S. \ Gudipati ,\ and\ author P. M. \ Bellan ,\ @noop journal journal The Astrophysical Journal \ volume 966 ,\ pages 66 ( year 2024 ) NoStop

    2024

  7. [7]

    Wardle ,\ @noop journal journal Astrophysics and Space Science \ volume 311 ,\ pages 35 ( year 2007 ) NoStop

    author author M. Wardle ,\ @noop journal journal Astrophysics and Space Science \ volume 311 ,\ pages 35 ( year 2007 ) NoStop

    2007

  8. [8]

    Okuzumi ,\ @noop journal journal The Astrophysical Journal \ volume 698 ,\ pages 1122 ( year 2009 ) NoStop

    author author S. Okuzumi ,\ @noop journal journal The Astrophysical Journal \ volume 698 ,\ pages 1122 ( year 2009 ) NoStop

    2009

Show all 114 references
  1. [9]

    Goertz ,\ @noop journal journal Reviews of Geophysics \ volume 27 ,\ pages 271 ( year 1989 ) NoStop

    author author C. Goertz ,\ @noop journal journal Reviews of Geophysics \ volume 27 ,\ pages 271 ( year 1989 ) NoStop

    1989

  2. [10]

    McClure , author P

    author author M. McClure , author P. Manoj , author N. Calvet , author L. Adame , author C. Espaillat , author D. Watson , author B. Sargent , author W. Forrest ,\ and\ author P. D'Alessio ,\ @noop journal journal The Astrophysical Journal Letters \ volume 759 ,\ pages L10 ( y...

    2012

  3. [11]

    Rapp , author G

    author author M. Rapp , author G. E. \ Thomas ,\ and\ author G. Baumgarten ,\ @noop journal journal Journal of Geophysical Research: Atmospheres \ volume 112 ( year 2007 ) NoStop

    2007

  4. [12]

    \ Chai ,\ @noop journal journal Scientific Reports \ volume 8 ,\ pages 15405 ( year 2018 ) NoStop

    author author K.-B. \ Chai ,\ @noop journal journal Scientific Reports \ volume 8 ,\ pages 15405 ( year 2018 ) NoStop

    2018

  5. [13]

    author author P. M. \ Bellan ,\ @noop journal journal The Astrophysical Journal \ volume 905 ,\ pages 96 ( year 2020 ) NoStop

    2020

  6. [14]

    Huang , author R

    author author F. Huang , author R. Peng , author Y. Liu , author Z. Chen , author M. Ye ,\ and\ author L. Wang ,\ @noop journal journal Physics of Plasmas \ volume 19 ( year 2012 ) NoStop

    2012

  7. [15]

    Potapov \ and\ author M

    author author A. Potapov \ and\ author M. McCoustra ,\ @noop journal journal International Reviews in Physical Chemistry \ volume 40 ,\ pages 299 ( year 2021 ) NoStop

    2021

  8. [16]

    author author R. S. \ Marshall , author K.-B. \ Chai ,\ and\ author P. M. \ Bellan ,\ @noop journal journal The Astrophysical Journal \ volume 837 ,\ pages 56 ( year 2017 ) NoStop

    2017

  9. [17]

    Dominik \ and\ author A

    author author C. Dominik \ and\ author A. Tielens ,\ @noop journal journal The Astrophysical Journal \ volume 480 ,\ pages 647 ( year 1997 ) NoStop

    1997

  10. [18]

    Dominik , author J

    author author C. Dominik , author J. Blum , author J. Cuzzi ,\ and\ author G. Wurm ,\ @noop journal journal arXiv preprint astro-ph/0602617 \ ( year 2006 ) NoStop

    2006 arXiv

  11. [19]

    Nemchinsky \ and\ author A

    author author V. Nemchinsky \ and\ author A. Khrabry ,\ @noop journal journal Physics of Plasmas \ volume 25 ( year 2018 ) NoStop

    2018

  12. [20]

    author author P. M. \ Bellan ,\ @noop title Fundamentals of plasma physics \ ( publisher Cambridge university press ,\ year 2008 ) NoStop

    2008

  13. [21]

    Lampe ,\ @noop journal journal Journal of plasma physics \ volume 65 ,\ pages 171 ( year 2001 ) NoStop

    author author M. Lampe ,\ @noop journal journal Journal of plasma physics \ volume 65 ,\ pages 171 ( year 2001 ) NoStop

    2001

  14. [22]

    Merlino ,\ @noop journal journal Advances in Physics: X \ volume 6 ,\ pages 1873859 ( year 2021 ) NoStop

    author author R. Merlino ,\ @noop journal journal Advances in Physics: X \ volume 6 ,\ pages 1873859 ( year 2021 ) NoStop

    2021

  15. [23]

    Allen ,\ @noop journal journal Physica Scripta \ volume 45 ,\ pages 497 ( year 1992 ) NoStop

    author author J. Allen ,\ @noop journal journal Physica Scripta \ volume 45 ,\ pages 497 ( year 1992 ) NoStop

    1992

  16. [24]

    Stefanovi \'c , author J

    author author I. Stefanovi \'c , author J. Berndt , author D. Mari \'c , author V. S amara , author M. Radmilovi \'c -Radjenovi \'c , author Z. L. \ Petrovi \'c , author E. Kova c evi \'c ,\ and\ author J. Winter ,\ @noop journal journal Physical Review E—Statistical, Nonlinea...

    2006

  17. [25]

    Vaverka , author I

    author author J. Vaverka , author I. Richterov \'a , author M. Vy s inka , author J. Pavlu , author J. S afr \'a nkov \'a ,\ and\ author Z. N e me c ek ,\ @noop journal journal Plasma Physics and Controlled Fusion \ volume 56 ,\ pages 025001 ( year 2014 ) NoStop

    2014

  18. [26]

    Kyritsakis \ and\ author J

    author author A. Kyritsakis \ and\ author J. Xanthakis ,\ @noop journal journal Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences \ volume 471 ,\ pages 20140811 ( year 2015 ) NoStop

    2015

  19. [27]

    Holgate \ and\ author M

    author author J. Holgate \ and\ author M. Coppins ,\ @noop journal journal Physical Review Applied \ volume 7 ,\ pages 044019 ( year 2017 ) NoStop

    2017

  20. [28]

    author author J. T. \ Holgate \ and\ author M. Coppins ,\ @noop journal journal Journal of Vacuum Science & Technology B \ volume 36 ( year 2018 ) NoStop

    2018

  21. [29]

    author author P. M. \ Bellan ,\ @noop journal journal The Astrophysical Journal \ volume 936 ,\ pages 52 ( year 2022 ) NoStop

    2022

  22. [30]

    Shumpert ,\ @noop journal journal Sensor and Simulation Notes \ volume 157 ,\ pages 1 ( year 1972 ) NoStop

    author author T. Shumpert ,\ @noop journal journal Sensor and Simulation Notes \ volume 157 ,\ pages 1 ( year 1972 ) NoStop

    1972

  23. [31]

    author author O. H. \ Asnaz , author H. Jung , author F. Greiner ,\ and\ author A. Piel ,\ @noop journal journal Physics of Plasmas \ volume 25 ( year 2018 ) NoStop

    2018

  24. [32]

    van Minderhout , author J

    author author B. van Minderhout , author J. van Huijstee , author R. Rompelberg , author A. Post , author A. Peijnenburg , author P. Blom ,\ and\ author J. Beckers ,\ @noop journal journal Nature Communications \ volume 12 ,\ pages 4692 ( year 2021 ) NoStop

    2021

  25. [33]

    author author W. B. \ Smythe ,\ @noop title Static and dynamic electricity \ ( publisher New York, NY (USA); Hemisphere Publishing ,\ year 1988 ) NoStop

    1988

  26. [34]

    author author D. J. \ Griffiths ,\ @noop title Introduction to electrodynamics \ ( publisher Cambridge University Press ,\ year 2013 ) NoStop

    2013

  27. [35]

    Dolginov \ and\ author I

    author author A. Dolginov \ and\ author I. Mytrophanov ,\ @noop journal journal Astrophysics and Space Science \ volume 43 ,\ pages 291 ( year 1976 ) NoStop

    1976

  28. [36]

    Gledhill \ and\ author A

    author author T. Gledhill \ and\ author A. McCall ,\ @noop journal journal Monthly Notices of the Royal Astronomical Society \ volume 314 ,\ pages 123 ( year 2000 ) NoStop

    2000

  29. [37]

    Wilson \ and\ author G

    author author C. Wilson \ and\ author G. Taylor ,\ in\ @noop booktitle Mathematical proceedings of the Cambridge philosophical society ,\ Vol. volume 22 \ ( organization Cambridge University Press ,\ year 1925 )\ pp.\ pages 728--730 NoStop

    1925

  30. [38]

    author author G. I. \ Taylor ,\ @noop journal journal Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences \ volume 280 ,\ pages 383 ( year 1964 ) NoStop

    1964

  31. [39]

    author author P. V. \ Hobbs ,\ @noop title Ice physics \ ( publisher OUP Oxford ,\ year 2010 ) NoStop

    2010

  32. [40]

    author author C. E. \ Love \ and\ author E. D. \ Rainville ,\ @noop title Differential and integral calculus \ ( publisher The Macmillan Company ,\ year 1918 ) NoStop

    1918

  33. [41]

    author author R. C. \ Tolman ,\ @noop journal journal The journal of chemical physics \ volume 17 ,\ pages 333 ( year 1949 ) NoStop

    1949

  34. [42]

    Schatzberg ,\ @noop journal journal The Journal of Physical Chemistry \ volume 71 ,\ pages 4569 ( year 1967 ) NoStop

    author author P. Schatzberg ,\ @noop journal journal The Journal of Physical Chemistry \ volume 71 ,\ pages 4569 ( year 1967 ) NoStop

    1967

  35. [43]

    author author F. J. \ Lovas ,\ https://doi.org/10.1063/1.555588 journal journal Journal of Physical and Chemical Reference Data \ volume 7 ,\ pages 1445 ( year 1978 ) NoStop

    1978 doi

  36. [44]

    Rayleigh ,\ @noop journal journal The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science \ volume 14 ,\ pages 184 ( year 1882 ) NoStop

    author author L. Rayleigh ,\ @noop journal journal The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science \ volume 14 ,\ pages 184 ( year 1882 ) NoStop

  37. [45]

    Kebarle \ and\ author M

    author author P. Kebarle \ and\ author M. Peschke ,\ @noop journal journal Analytica Chimica Acta \ volume 406 ,\ pages 11 ( year 2000 ) NoStop

    2000

  38. [46]

    author author H. J. \ Berendsen , author J.-R. \ Grigera ,\ and\ author T. P. \ Straatsma ,\ @noop journal journal Journal of Physical Chemistry \ volume 91 ,\ pages 6269 ( year 1987 ) NoStop

    1987

  39. [47]

    Chen \ and\ author P

    author author F. Chen \ and\ author P. E. \ Smith ,\ @noop journal journal The Journal of chemical physics \ volume 126 ,\ pages 221101 ( year 2007 ) NoStop

    2007

  40. [48]

    author author J. T. \ Su \ and\ author W. A. \ Goddard ,\ @noop journal journal The Journal of chemical physics \ volume 131 ,\ pages 244501 ( year 2009 ) NoStop

    2009

  41. [49]

    author author M. M. \ Islam , author G. Kolesov , author T. Verstraelen , author E. Kaxiras ,\ and\ author A. C. \ Van Duin ,\ @noop journal journal Journal of chemical theory and computation \ volume 12 ,\ pages 3463 ( year 2016 ) NoStop

    2016

  42. [50]

    Cottin ,\ @noop journal journal Journal de Chimie Physique \ volume 56 ,\ pages 1024 ( year 1959 ) NoStop

    author author M. Cottin ,\ @noop journal journal Journal de Chimie Physique \ volume 56 ,\ pages 1024 ( year 1959 ) NoStop

    1959

  43. [51]

    Fedor , author P

    author author J. Fedor , author P. Cicman , author B. Coupier , author S. Feil , author M. Winkler , author K. G uch , author J. Husarik , author D. Jaksch , author B. Farizon , author N. Mason , et al. ,\ @noop journal journal Journal of Physics B: Atomic, Molecular and Optic...

    2006

  44. [52]

    Kevan ,\ @noop journal journal Accounts of Chemical Research \ volume 14 ,\ pages 138 ( year 1981 ) NoStop

    author author L. Kevan ,\ @noop journal journal Accounts of Chemical Research \ volume 14 ,\ pages 138 ( year 1981 ) NoStop

    1981

  45. [53]

    Woitke , author I

    author author P. Woitke , author I. Kamp ,\ and\ author W.-F. \ Thi ,\ @noop journal journal Astronomy & Astrophysics \ volume 501 ,\ pages 383 ( year 2009 ) NoStop

    2009

  46. [54]

    Th \"u rmer , author S

    author author S. Th \"u rmer , author S. Malerz , author F. Trinter , author U. Hergenhahn , author C. Lee , author D. M. \ Neumark , author G. Meijer , author B. Winter ,\ and\ author I. Wilkinson ,\ @noop journal journal Chemical science \ volume 12 ,\ pages 10558 ( year 202...

    2021

  47. [55]

    Palianov , author P

    author author P. Palianov , author P. Martin , author F. Qu \'e r \'e ,\ and\ author S. Pommeret ,\ @noop journal journal Journal of Experimental and Theoretical Physics \ volume 118 ,\ pages 489 ( year 2014 ) NoStop

    2014

  48. [56]

    Pizzochero , author F

    author author M. Pizzochero , author F. Ambrosio ,\ and\ author A. Pasquarello ,\ @noop journal journal Chemical science \ volume 10 ,\ pages 7442 ( year 2019 ) NoStop

    2019

  49. [57]

    Savolainen , author F

    author author J. Savolainen , author F. Uhlig , author S. Ahmed , author P. Hamm ,\ and\ author P. Jungwirth ,\ @noop journal journal Nature chemistry \ volume 6 ,\ pages 697 ( year 2014 ) NoStop

    2014

  50. [58]

    Jortner ,\ @noop journal journal Radiation Research Supplement \ volume 4 ,\ pages 24 ( year 1964 ) NoStop

    author author J. Jortner ,\ @noop journal journal Radiation Research Supplement \ volume 4 ,\ pages 24 ( year 1964 ) NoStop

    1964

  51. [59]

    Kumar , author J

    author author A. Kumar , author J. A. \ Walker , author D. M. \ Bartels ,\ and\ author M. D. \ Sevilla ,\ @noop journal journal The Journal of Physical Chemistry A \ volume 119 ,\ pages 9148 NoStop

  52. [60]

    author author J. M. Herbert \ and\ author M. Head-Gordon ,\ @noop journal journal Physical Chemistry Chemical Physics \ volume 8 ,\ pages 68 ( year 2006 ) NoStop

    2006

  53. [61]

    Ambrosio , author G

    author author F. Ambrosio , author G. Miceli ,\ and\ author A. Pasquarello ,\ @noop journal journal The Journal of Physical Chemistry Letters \ volume 8 ,\ pages 2055 ( year 2017 ) NoStop

    2017

  54. [62]

    \ Zhan \ and\ author D

    author author C.-G. \ Zhan \ and\ author D. A. \ Dixon ,\ @noop journal journal The Journal of Physical Chemistry B \ volume 107 ,\ pages 4403 ( year 2003 ) NoStop

    2003

  55. [63]

    Kohn \ and\ author L

    author author W. Kohn \ and\ author L. J. \ Sham ,\ @noop journal journal Physical review \ volume 140 ,\ pages A1133 ( year 1965 ) NoStop

    1965

  56. [64]

    M ller \ and\ author M

    author author C. M ller \ and\ author M. S. \ Plesset ,\ @noop journal journal Physical review \ volume 46 ,\ pages 618 ( year 1934 ) NoStop

    1934

  57. [65]

    author author J. M. \ Herbert \ and\ author M. Head-Gordon ,\ @noop journal journal The Journal of Physical Chemistry A \ volume 109 ,\ pages 5217 ( year 2005 ) NoStop

    2005

  58. [66]

    Bogdan ,\ @noop journal journal The Journal of chemical physics \ volume 106 ,\ pages 1921 ( year 1997 ) NoStop

    author author A. Bogdan ,\ @noop journal journal The Journal of chemical physics \ volume 106 ,\ pages 1921 ( year 1997 ) NoStop

    1921

  59. [67]

    W \"o lk \ and\ author R

    author author J. W \"o lk \ and\ author R. Strey ,\ @noop journal journal The Journal of Physical Chemistry B \ volume 105 ,\ pages 11683 ( year 2001 ) NoStop

    2001

  60. [68]

    Wölk ,\ title Homogene Keimbildung von H2O und D2O ,\ @noop Ph.D

    author author J. Wölk ,\ title Homogene Keimbildung von H2O und D2O ,\ @noop Ph.D. thesis ,\ school Universität zu Köln ( year 2001 ) NoStop

    2001

  61. [69]

    Samsonov , author A

    author author V. Samsonov , author A. Bazulev ,\ and\ author N. Sdobnyakov ,\ @noop journal journal Open Physics \ volume 1 ,\ pages 474 ( year 2003 ) NoStop

    2003

  62. [70]

    Holten , author D

    author author V. Holten , author D. Labetski ,\ and\ author M. Van Dongen ,\ @noop journal journal The Journal of chemical physics \ volume 123 ( year 2005 ) NoStop

    2005

  63. [71]

    Kalikmanov ,\ @noop journal journal The Journal of chemical physics \ volume 124 ( year 2006 ) NoStop

    author author V. Kalikmanov ,\ @noop journal journal The Journal of chemical physics \ volume 124 ( year 2006 ) NoStop

    2006

  64. [72]

    \ Xue , author X.-C

    author author Y.-Q. \ Xue , author X.-C. \ Yang , author Z.-X. \ Cui ,\ and\ author W.-P. \ Lai ,\ @noop journal journal The Journal of Physical Chemistry B \ volume 115 ,\ pages 109 ( year 2011 ) NoStop

    2011

  65. [73]

    Sedlmeier \ and\ author R

    author author F. Sedlmeier \ and\ author R. R. \ Netz ,\ @noop journal journal The Journal of Chemical Physics \ volume 137 ( year 2012 ) NoStop

    2012

  66. [74]

    author author M. N. \ Joswiak , author N. Duff , author M. F. \ Doherty ,\ and\ author B. Peters ,\ @noop journal journal The journal of physical chemistry letters \ volume 4 ,\ pages 4267 ( year 2013 ) NoStop

    2013

  67. [75]

    author author M. N. \ Joswiak , author R. Do , author M. F. \ Doherty ,\ and\ author B. Peters ,\ @noop journal journal The Journal of Chemical Physics \ volume 145 ,\ pages 204703 ( year 2016 ) NoStop

    2016

  68. [76]

    \ Homman , author E

    author author A.-A. \ Homman , author E. Bourasseau , author G. Stoltz , author P. Malfreyt , author L. Strafella ,\ and\ author A. Ghoufi ,\ @noop journal journal The Journal of chemical physics \ volume 140 ( year 2014 ) NoStop

    2014

  69. [77]

    \ Leong \ and\ author F

    author author K.-Y. \ Leong \ and\ author F. Wang ,\ @noop journal journal The Journal of Chemical Physics \ volume 148 ( year 2018 ) NoStop

    2018

  70. [78]

    Malek , author P

    author author S. Malek , author P. H. \ Poole ,\ and\ author I. Saika-Voivod ,\ @noop journal journal The Journal of Chemical Physics \ volume 150 ( year 2019 ) NoStop

    2019

  71. [79]

    Kim \ and\ author W

    author author Q. Kim \ and\ author W. Jhe ,\ @noop journal journal Nanoscale \ volume 12 ,\ pages 18701 ( year 2020 ) NoStop

    2020

  72. [80]

    Marx , author A

    author author D. Marx , author A. Chandra ,\ and\ author M. E. \ Tuckerman ,\ @noop journal journal Chemical reviews \ volume 110 ,\ pages 2174 ( year 2010 ) NoStop

    2010

  73. [81]

    Glen \ and\ author J

    author author J. Glen \ and\ author J. Paren ,\ @noop journal journal Journal of Glaciology \ volume 15 ,\ pages 15 ( year 1975 ) NoStop

    1975

  74. [82]

    author author J. M. \ Herbert ,\ @noop journal journal Physical Chemistry Chemical Physics \ volume 21 ,\ pages 20538 ( year 2019 ) NoStop

    2019

  75. [83]

    author author E. J. \ Hart ,\ @noop journal journal Survey of Progress in Chemistry \ volume 5 ,\ pages 129 ( year 1969 ) NoStop

    1969

  76. [84]

    Schmidt , author P

    author author K. Schmidt , author P. Han ,\ and\ author D. Bartels ,\ @noop journal journal The Journal of Physical Chemistry \ volume 96 ,\ pages 199 ( year 1992 ) NoStop

    1992

  77. [85]

    Rowlinson ,\ @noop journal journal Journal of Physics: Condensed Matter \ volume 6 ,\ pages A1 ( year 1994 ) NoStop

    author author J. Rowlinson ,\ @noop journal journal Journal of Physics: Condensed Matter \ volume 6 ,\ pages A1 ( year 1994 ) NoStop

    1994

  78. [86]

    Van Giessen \ and\ author E

    author author A. Van Giessen \ and\ author E. Blokhuis ,\ @noop journal journal The Journal of chemical physics \ volume 116 ,\ pages 302 ( year 2002 ) NoStop

    2002

  79. [87]

    author author G. V. \ Lau , author P. A. \ Hunt , author E. A. \ M \"u ller , author G. Jackson ,\ and\ author I. J. \ Ford ,\ @noop journal journal The Journal of Chemical Physics \ volume 143 ,\ pages 244709 ( year 2015 ) NoStop

    2015

  80. [88]

    \ Lin , author P

    author author S.-T. \ Lin , author P. K. \ Maiti ,\ and\ author W. A. \ Goddard III ,\ @noop journal journal The Journal of Physical Chemistry B \ volume 114 ,\ pages 8191 ( year 2010 ) NoStop

    2010

  81. [89]

    Grimme ,\ @noop journal journal Chemistry--A European Journal \ volume 18 ,\ pages 9955 ( year 2012 ) NoStop

    author author S. Grimme ,\ @noop journal journal Chemistry--A European Journal \ volume 18 ,\ pages 9955 ( year 2012 ) NoStop

    2012

  82. [90]

    Herzberg ,\ @noop title Molecular spectra and molecular structure: Ii

    author author G. Herzberg ,\ @noop title Molecular spectra and molecular structure: Ii. infrared and raman spectra of polyatomic molecules ( year 1945 ) NoStop

    1945

  83. [92]

    author author J. B. \ Maglic \ and\ author R. Lavendomme ,\ @noop journal journal Journal of applied crystallography \ volume 55 ,\ pages 1033 ( year 2022 ) NoStop

    2022

  84. [93]

    Barrett ,\ @noop journal journal The Journal of chemical physics \ volume 111 ,\ pages 5938 ( year 1999 ) NoStop

    author author J. Barrett ,\ @noop journal journal The Journal of chemical physics \ volume 111 ,\ pages 5938 ( year 1999 ) NoStop

    1999

  85. [94]

    author author S. R. \ Valluri , author D. J. \ Jeffrey ,\ and\ author R. M. \ Corless ,\ title title Some applications of the lambert w function to physics , \ @noop journal journal Canadian Journal of Physics \ volume 78 ,\ pages 823--831 ( year 2000 ) NoStop

    2000

  86. [95]

    Kumar , author J

    author author A. Kumar , author J. A. \ Walker , author D. M. \ Bartels ,\ and\ author M. D. \ Sevilla ,\ title title A simple ab initio model for the hydrated electron that matches experiment , \ @noop journal journal The Journal of Physical Chemistry A \ volume 119 ,\ pages ...

  87. [96]

    Mart \' nez , author R

    author author L. Mart \' nez , author R. Andrade , author E. G. \ Birgin ,\ and\ author J. M. \ Mart \' nez ,\ title title Packmol: A package for building initial configurations for molecular dynamics simulations , \ @noop journal journal Journal of computational chemistry \ v...

    2009

  88. [97]

    Marques , author C

    author author R. Marques , author C. Bouville , author M. Ribardiere , author L. P. \ Santos ,\ and\ author K. Bouatouch ,\ title title Spherical fibonacci point sets for illumination integrals , \ in\ @noop booktitle Computer Graphics Forum ,\ Vol. volume 32 \ ( organization ...

    2013

  89. [98]

    author author S. Plimpton ,\ title title Fast parallel algorithms for short-range molecular dynamics , \ @noop journal journal Journal of computational physics \ volume 117 ,\ pages 1--19 ( year 1995 ) NoStop

    1995

  90. [99]

    author author S. Nos \'e ,\ title title A molecular dynamics method for simulations in the canonical ensemble , \ https://doi.org/10.1080/00268978400101201 journal journal Molecular Physics \ ( year 1984 ),\ 10.1080/00268978400101201 NoStop

    1984 doi

  91. [100]

    author author W. G. \ Hoover ,\ title title Canonical dynamics: Equilibrium phase-space distributions , \ https://doi.org/10.1103/PhysRevA.31.1695 journal journal Physical Review A \ ( year 1985 ),\ 10.1103/PhysRevA.31.1695 NoStop

    1985 doi

  92. [101]

    Neese ,\ title title The orca program system , \ https://doi.org/10.1002/wcms.81 journal journal WIRES Comput

    author author F. Neese ,\ title title The orca program system , \ https://doi.org/10.1002/wcms.81 journal journal WIRES Comput. Molec. Sci. \ volume 2 ,\ pages 73--78 ( year 2012 ) NoStop

    2012 doi

  93. [102]

    \ Zhan \ and\ author D

    author author C.-G. \ Zhan \ and\ author D. A. \ Dixon ,\ title title The Nature and Absolute Hydration Free Energy of the Solvated Electron in Water , \ @noop journal journal The Journal of Physical Chemistry B \ volume 107 ,\ pages 4403--4417 ( year 2003 ) NoStop

    2003

  94. [103]

    author author C. F. \ Williams \ and\ author J. M. \ Herbert ,\ title title Influence of Structure on Electron Correlation Effects and Electron - Water Dispersion Interactions in Anionic Water Clusters , \ @noop journal journal The Journal of Physical Chemistry A \ volume 112 ...

    2008

  95. [104]

    author author J. M. \ Herbert \ and\ author M. Head-Gordon ,\ title title Calculation of Electron Detachment Energies for Water Cluster Anions :\, An Appraisal of Electronic Structure Methods , with Application to ( H2O )20- and ( H2O )24- , \ @noop journal journal The Journal...

    2005

  96. [105]

    Matsumoto , author T

    author author M. Matsumoto , author T. Yagasaki ,\ and\ author H. Tanaka ,\ title title Genice: Hydrogen-disordered ice generator , \ @noop journal journal Journal of Computational Chemistry \ volume 39 ,\ pages 61--64 ( year 2017 ) NoStop

    2017

  97. [106]

    Stefanovi \'c , author J

    author author I. Stefanovi \'c , author J. Berndt , author D. Mari \'c , author V. S amara , author M. Radmilovi \'c -Radjenovi \'c , author Z. L. \ Petrovi \'c , author E. Kova c evi \'c ,\ and\ author J. Winter ,\ title title Secondary electron emission of carbonaceous dust ...

    2006

  98. [107]

    Vaverka , author I

    author author J. Vaverka , author I. Richterov \'a , author M. Vy s inka , author J. Pavlu , author J. S afr \'a nkov \'a ,\ and\ author Z. N e me c ek ,\ title title The influence of secondary electron emission on the floating potential of tokamak-born dust , \ @noop journal ...

    2014

  99. [108]

    Kyritsakis \ and\ author J

    author author A. Kyritsakis \ and\ author J. Xanthakis ,\ title title Derivation of a generalized fowler--nordheim equation for nanoscopic field-emitters , \ @noop journal journal Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences \ volume 471 ...

    2015

  100. [109]

    Holgate \ and\ author M

    author author J. Holgate \ and\ author M. Coppins ,\ title title Field-induced and thermal electron currents from earthed spherical emitters , \ @noop journal journal Physical Review Applied \ volume 7 ,\ pages 044019 ( year 2017 ) NoStop

    2017

  101. [110]

    author author J. T. \ Holgate \ and\ author M. Coppins ,\ title title Electron emission from electrically isolated spheres , \ @noop journal journal Journal of Vacuum Science & Technology B \ volume 36 ( year 2018 ) NoStop

    2018

  102. [111]

    author author R. H. \ Fowler \ and\ author L. Nordheim ,\ title title Electron emission in intense electric fields , \ @noop journal journal Proceedings of the royal society of London. Series A, containing papers of a mathematical and physical character \ volume 119 ,\ pages 1...

    1928

  103. [112]

    author author J. J. \ Thomson ,\ title title Xxiv. on the structure of the atom: an investigation of the stability and periods of oscillation of a number of corpuscles arranged at equal intervals around the circumference of a circle; with application of the results to the theo...

    1904

  104. [113]

    author author N. N. \ Andreev ,\ title title An extremal property of the icosahedron , \ @noop journal journal East J. Approx \ volume 2 ,\ pages 459--462 ( year 1996 ) NoStop

    1996

  105. [114]

    author author D. J. \ Wales \ and\ author M. P. \ Hodges ,\ title title Global minima of water clusters (h2o) n, n 21, described by an empirical potential , \ @noop journal journal Chemical physics letters \ volume 286 ,\ pages 65--72 ( year 1998 ) NoStop

    1998

  106. [115]

    Rakshit , author P

    author author A. Rakshit , author P. Bandyopadhyay , author J. P. \ Heindel ,\ and\ author S. S. \ Xantheas ,\ title title Atlas of putative minima and low-lying energy networks of water clusters n= 3--25 , \ @noop journal journal The Journal of chemical physics \ volume 151 (...

    2019

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Reviewed August 15, 2026 · model on record in the stance chip above.