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Kinetic roughening transition of ice crystals and its implications during recrystallization

T0 review · 5 major / 6 minor · reviewed 2026-08-16 · deepseek-v4-flash

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Pith's one-line read Ice crystals grown near equilibrium in DMSO or proline solutions switch from rounded disks to faceted hexagons at $-16.0 \pm 0.2\,^{\circ}\mathrm{C}$, a kinetic roughening transition that is independent of the solute.

desk verdict Atmospheric confirmation of the -16 °C prism-face roughening transition is real and useful, but the sub-degree TR precision and the growth-melt asymmetry rest on single-crystal fits with unaddressed orientation and undercooling issues. read the letter →

arxiv 2505.01055 v2 pith:2PUZADPY submitted 2025-05-02 cond-mat.mtrl-sci cond-mat.softphysics.bio-ph

Jorge H. Melillo , Ido Braslavsky This is my paper · ORCID
classification cond-mat.mtrl-scicond-mat.softphysics.bio-ph
keywords kineticrougheningtransitionicecrystalmorphologyrecrystallizationantifreezeproteinscryomicroscopyDMSOprolinegrowth-meltasymmetry
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 establishes that the shape of ice crystals growing slowly from aqueous solution is governed by a kinetic roughening transition at a sharply defined temperature. At temperatures above $-16.0 \pm 0.2\,^{\circ}\mathrm{C}$ the prism face of ice grows in a rough, rounded-disk morphology; below that temperature the same face grows by layer propagation and the crystal develops flat hexagonal facets. The transition temperature is the same in dimethyl sulfoxide and proline solutions and matches the value previously measured only under high pressure, showing that it is set by temperature alone rather than by the solute. The authors then show that growth and melting follow different kinetic laws across this transition, and that a low concentration of antifreeze protein type III can induce faceting even above the transition. The practical point is that a faceted, hexagonal ice crystal is not by itself evidence that an ice-binding molecule is present.

What carries the argument

The central object is the roundness function $R = 4\pi A/P^2$, computed in real time from microscopy images of single ice crystals, and its dependence on temperature. The paper's mechanism is the kinetic roughening transition: above $T_R$ the prism face can nucleate new molecular layers spontaneously, so the interface is rough and the projected outline is circular; below $T_R$ layer growth requires step nucleation, so the crystal exposes flat prism facets and appears hexagonal when viewed along the basal axis. The measurement is forced into the slow-growth, near-equilibrium regime by growing crystals in microdroplets, where the excluded solute progressively depresses the melting point. A sigmoidal fit (Eq. 2) to the roundness-versus-temperature curve supplies the inflection point identified as $T_R$, and the exponential fits (Eqs. 3) supply the melting relaxation.

What would settle it

If a single ice crystal in a DMSO or proline droplet kept below $-16\,^{\circ}\mathrm{C}$ with its basal face toward the observer continued to grow as a circular disk, or if direct step-imaging of the prism face showed no change in layer-nucleation behavior at $-16\,^{\circ}\mathrm{C}$, the identification of $T_R$ as a kinetic roughening transition would be contradicted.

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Extended reading notes

Core claim

Using cryomicroscopy on single ice crystals in emulsified microdroplets of DMSO- and proline–water solutions cooled at 0.1 °C/min, the authors measured the roundness $R = 4\pi A/P^2$ of the crystal outline as a function of temperature. A sigmoidal fit to the roundness curve has its inflection point at $T_R = -16.0 \pm 0.2\,^{\circ}\mathrm{C}$, where the growth morphology switches from rounded disks to hexagonal plates; the 10–90% transition spans $-18.8$ to $-13.2\,^{\circ}\mathrm{C}$. The transition appears at the same temperature in both solutes and with or without a cover glass. During melting the same crystals lose their facets exponentially (time constant $\tau \approx 47$ s for isothermal melting, $\sigma_m \approx 3.5\,^{\circ}\mathrm{C}$ for gradual warming), so growth and melting are kinetically asymmetric. Adding 0.5 µM antifreeze protein type III produces hexagonally faceted growth even at temperatures above $T_R$, indicating that adsorption raises the effective roughening temperature.

Load-bearing premise

The load-bearing assumption is that the measured roundness of the projected crystal outline tracks the kinetic roughening of the prism face itself, rather than a change in crystal orientation or in the growth regime, so that the inferred $T_R$ is a true surface transition.

Editorial extensions

If this is right

  • Faceted hexagonal ice at temperatures below about $-13\,^{\circ}\mathrm{C}$ can form in solutions of solutes that do not bind ice, so faceting alone does not prove ice-binding activity.
  • Recrystallization studies conducted below $-16\,^{\circ}\mathrm{C}$ will see intrinsic faceting during growth and rounding during melting, and should not attribute the hexagonal shapes to ice-active agents.
  • Growth and melting across the roughening transition follow different kinetic forms: sigmoidal for growth and exponential for melting, which explains the previously reported growth–melt asymmetry in ice crystals.
  • Antifreeze proteins such as AFPIII can elevate the effective roughening temperature, meaning ice-shaping activity and recrystallization-inhibition activity share a common threshold.

Reading between the lines

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

  • If the transition is set purely by temperature, the same $T_R \approx -16\,^{\circ}\mathrm{C}$ should appear in other non-interacting cryoprotectants such as glycerol, ethylene glycol, or sugars; a survey measuring roundness hysteresis in those systems would test the universality claim.
  • The crystal rotation observed between $-15.6$ and $-18.2\,^{\circ}\mathrm{C}$ hints that the torque arises from step propagation on the faceting prism face; tracking orientation versus temperature could give a mechanical measure of the step dynamics.
  • The growth–melt asymmetry may extend beyond ice: any crystal whose rough face crosses a kinetic roughening transition should show sigmoidal faceting on growth but exponential rounding on melting, which could be checked in organic crystals grown from solution.
  • The 10–90% transition band from $-18.8$ to $-13.2\,^{\circ}\mathrm{C}$ suggests a practical guideline: morphological assays of ice activity conducted above $-13\,^{\circ}\mathrm{C}$ are unlikely to be confounded by intrinsic roughening, while those below $-18\,^{\circ}\mathrm{C}$ almost certainly are.
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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

5 major / 6 minor

Summary. The paper reports a kinetic roughening transition of ice crystals grown from DMSO–water and proline–water solutions at atmospheric pressure, with a transition temperature TR = -16.0 ± 0.2 °C inferred from a sigmoidal fit to the roundness of single crystals during slow cooling. The authors propose that this transition is independent of solute identity and matches the value previously measured under high pressure, implying that faceted ice morphologies below TR can arise without ice-active molecules. They also report an asymmetry between growth (sigmoidal roundness evolution) and melting (exponential relaxation) and show that antifreeze protein type III promotes faceting above TR. The paper includes cryomicroscopy videos, a MATLAB analysis script, and comparisons to literature benchmarks.

Significance. If the central claim holds, the paper provides a useful benchmark for distinguishing intrinsic kinetic roughening from adsorption-mediated ice shaping, with direct implications for interpreting ice morphology in cryobiology and atmospheric science. The study is well motivated, uses two solutes to probe solute independence, and ships reproducible analysis code and supporting videos. The growth–melt asymmetry, if confirmed, is a novel observation that could stimulate further work on interfacial kinetics. However, the headline TR value rests on a small number of single-crystal fits, and the near-equilibrium premise is not quantitatively established by the paper's own data.

major comments (5)
  1. [Section 3.1, Fig. 3 and Fig. 4]
  2. [Section 3.1 and SI 'Estimation of concentration...']
  3. [Section 3.1, Table 2 vs. SI Fig. SI2]
  4. [Section 3.1, Eq. 2]
  5. [Section 3.2, Figs. 5 and 7]
minor comments (6)
  1. [Page 20, figure captions]
  2. [Section 3.1, text near Fig. 3]
  3. [Section 2.1]
  4. [Eq. 2 and Table 2]
  5. [SI, MATLAB code and thresholding]
  6. [Conclusion]

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: TR is an experimental fit compared with independent high-pressure benchmarks, and no load-bearing claim reduces to its own inputs.

full rationale

The central quantitative claim is an experimental measurement: TR is the inflection point of a sigmoid fitted to roundness-vs-temperature data (Eq. 2, Table 2). This is an operational definition of the observed morphological transition, not a prediction derived from the fitted values. The reported agreement with the high-pressure KR temperature rests on Ref. 10-12, which are external experimental benchmarks rather than self-citations. The solute-independence claim is supported by fitting the same functional form to DMSO and proline data (Fig. SI2), so it is tested across solutes rather than imposed by construction. The growth/melting asymmetry is a direct comparison of two independently fitted functional forms (Eq. 2 vs. Eqs. 3), not a renaming of one fit as another. Self-citations appear for protein purification methods (Refs. 47-49), for prior descriptions of AFP behavior (Refs. 16, 19, 37, 38), and for a related study of aqueous solutions (Ref. 53), but none of these is load-bearing for the central claim: the observed roundness transition, its temperature, and its solute independence stand on the paper's own measurements and external comparisons. The potential concern that crystal rotation between -15.6 and -18.2 degrees C could affect projected roundness is a validity or correctness challenge to the measurement, not a circularity: the paper does not define roundness in terms of TR, nor fit a parameter and then rename it as a prediction. No passage in the manuscript asserts or concedes a circular step, and no step can be exhibited in which an equation reduces to its own input. Accordingly, the appropriate finding is no significant circularity.

Assumptions & free parameters 7 free parameters · 6 assumptions · 0 invented entities

The central measurement depends on fitted shape parameters (R0, R1, sigma, TR) and on several domain assumptions about solute inertness, crystal orientation, and near-equilibrium growth. No new physical entities are introduced.

free parameters (7)
  • R0 = 0.90 +/- 0.01
    Asymptotic roundness of the disk state in Eq. 2; fitted to single-crystal growth data, sets the baseline for the roundness transition.
  • R1,grow = 0.062 +/- 0.001
    Sigmoid amplitude in Eq. 2; fitted to growth data, determines the roundness change from disk to hexagon.
  • sigma = 1.26 +/- 0.06 C
    Stretching factor in Eq. 2; fitted, sets the width of the growth transition and the 10-90 percent span.
  • TR = -16.0 +/- 0.2 C
    Inflection point of the sigmoid fit; the central measured transition temperature. Although it is the target result, it is a fit parameter.
  • sigma_melt = 3.5 +/- 0.4 C
    Decay constant for roundness versus temperature during gradual melting, Eq. 3(a); fitted to one crystal, supports the growth-melt asymmetry claim.
  • tau_isothermal = 47.3 +/- 3.7 s
    Time constant for isothermal melting after a sudden temperature increase, Eq. 3(b); fitted to one crystal in 40 percent DMSO at -31 C.
  • tau_recryst = 846 +/- 210 s
    Time constant for melting during recrystallization (Ostwald ripening) at -20 C; fitted to crystal #1 in Figure 7.
assumptions (6)
  • domain assumption DMSO and proline do not adsorb to the ice interface and do not alter intrinsic interfacial kinetics; their only role is to depress the melting point.
    Invoked in Section 3.1 and the Introduction to attribute faceting to intrinsic roughening rather than solute-ice interactions. If false, the TR value could include adsorption effects.
  • domain assumption The basal face of ice remains faceted up to the melting point, so the observed circular-to-hexagonal transition in projected shape monitors prism-face roughening.
    Stated in Section 3.1; based on prior literature (Refs. 39-44). If the basal face also roughens or the crystal orientation changes, the shape transition would not isolate prism-face behavior.
  • domain assumption During growth in emulsion droplets, solute concentration increases locally and the system remains near equilibrium, so the shape is governed by interfacial kinetics rather than bulk transport or large supercooling.
    Assumed in Section 2.2 and the SI ('Estimation of concentration...'). The estimates show supercooling may be several degrees, so this premise is not directly verified.
  • domain assumption The Semenov et al. melting-point correlation for DMSO solutions is accurate at the concentrations reached during crystal growth.
    Used in the SI to convert area fraction to concentration and melting point, which underpins the near-equilibrium argument.
  • domain assumption Digital roundness offsets from pixelation and thresholding do not affect the inflection point of the sigmoid fit.
    The SI accounts for the offset but assumes it is constant across the transition; no correction is applied to the fitted TR.
  • ad hoc to paper The sigmoid and exponential forms (Eqs. 2 and 3) adequately describe the underlying kinetics.
    These functional forms are chosen to fit the data; the conclusion of different growth and melting kinetics depends on the forms being appropriate.

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Pith. "Pith review of Kinetic roughening transition of ice crystals and its implications during recrystallization." pith.science (2026). https://pith.science/paper/2PUZADPY

@misc{pith2026250501055,
  author       = {Pith},
  title        = {Pith review of: Kinetic roughening transition of ice crystals and its implications during recrystallization},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/2PUZADPY}},
  note         = {Machine review of arXiv:2505.01055}
}
read the original abstract

Hypothesis Roughening transitions at solid-liquid interfaces govern crystal morphology in diverse systems. In ice crystallization, these transitions control interfacial faceting and surface kinetics. Faceted morphologies are often associated with ice-active molecules, which inhibit recrystallization and are essential for cryopreservation. We hypothesize that kinetic roughening transitions can induce faceting even in the absence of ice-active agents, particularly at high solute concentrations with depressed melting points, potentially complicating the interpretation of crystal morphology as an indicator of ice activity. Experiments We investigated the kinetic roughening transition of ice in dimethyl sulfoxide (DMSO) and proline-water solutions using cryomicroscopy and real-time image analysis. Crystals grew in microdroplets, maintaining near-equilibrium conditions as solute concentration increased during growth due to conversion of liquid water to ice. Antifreeze protein type III (AFPIII) was applied to distinguish intrinsic roughening from adsorption-mediated effects. Findings A distinct kinetic roughening transition temperature (TR = -16.0 +/- 0.2 oC) was identified, marking a shift from rounded disks at higher temperatures to faceted hexagonal plates at lower temperatures, independent of solute type. Recrystallization below TR revealed asymmetry between growth and melting interfaces. AFPIII promoted faceting even above TR, consistent with stabilization of step edges and elevation of the roughening transition temperature. These results clarify the interplay between intrinsic interface kinetics and molecular adsorption, with implications for interpreting ice morphology, surface roughening, and cryopreservation design.

Figures

Figures reproduced from arXiv: 2505.01055 by the authors.

Figure 2
Figure 2. Optical microscopy images of ice crystals in DMSO–water solutions at (a, b) 10% and (c, d) 30% DMSO. Samples were slowly cooled at a rate of 0.1 °C/min. For each concentration, two snapshots of the growing crystals are presented, taken five minutes apart. Crystals oriented with their basal face toward the observer (appearing as round or flat hexagons) enable direct monitoring of prism face morphologies. At -5 °C, cr… view at source ↗
Figure 3
Figure 3. Morphological evolution of a single ice crystal in an emulsion of cDMSO = 20% (v/v) during slow cooling. The red outline corresponds to the ice crystal border detected by a MATLAB algorithm. (a) At T = -10.5 ºC, the ice crystal shows a circular shape. (b) At T = -15.6 [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 4
Figure 4. shows the quantitative roundness analysis of the ice crystal featured in Supporting Video SI1, plotted as a function of temperature. For each video frame, the crystal boundary was extracted, and roundness was calculated using Equation 1. The resulting curve was fitted with a sigmoidal function (Eq. 2) [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗
Figures from the paper (4 more)
Figure 5
Figure 5. Figure 5: Roundness evolution of a single ice crystal during melting, shown for two conditions: (a) for emulsions of cDMSO = 20% (v/v) and gradual warming at 0.1 °C/min, and (b) for emulsions of cDMSO = 40% (v/v) and isothermal melting at constant temperature of -31 ºC. In both …
Figure 6
Figure 6. Figure 6: Recrystallization of ice at -20 °C for 1.5 hours in a solution with 30% (v/v) DMSO. As crystals grow, they acquire well-defined hexagonal shapes; as they melt, they lose facets and become increasingly circular. Red outlines identify and track individual crystals, revea…
Figure 7
Figure 7. Figure 7: Roundness evolution of the crystal #1 from [PITH_FULL_IMAGE:figures/full_fig_p012_7.png]
Figure 2
Figure 2. Figure 2: Schematic of the temperature protocol used in the kinetic roughening (KR) experiments. Following initial crystallization, the sample was heated into the melting region and held until only a few ice crystals remained. These remaining crystals were then regrown at a cont…

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Pith tools

Reviewed August 16, 2026 · model on record in the stance chip above.