Probing Millikelvin Temperature Sensitivity in Chiral Nanoparticles via Optical Forces

Gayatri Chandran; Seongmin Im; Wei Hong; Xing Wang; Yang Zhao

REVIEW 4 major objections 5 minor 33 references

Probing Millikelvin Temperature Sensitivity in Chiral Nanoparticles via Optical Forces

T0 review · 4 major / 5 minor · reviewed 2026-08-07 · deepseek-v4-flash

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Pith's one-line read An optical force microscope can map temperature differences of about 0.1 K on individual nanoparticles, without adding any temperature-sensitive coating.

desk verdict The 0.1 K sensitivity claim rests on an unstated cantilever transfer function; the chiral-particle application is real, but the paper needs a measured transfer function and an independent temperature check before the central number is credible. read the letter →

arxiv 2506.06641 v1 pith:46P6JC7A submitted 2025-06-07 physics.optics physics.app-ph

Seongmin Im , Wei Hong , Gayatri Chandran , Xing Wang , Yang Zhao This is my paper

classification physics.opticsphysics.app-ph

keywords opticalforcenanoscopyphotothermalthermalexpansionchiralgoldnanoparticlestemperaturesensitivitycirculardichroismatomicmicroscopynanoscalethermometry

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

The paper seeks to establish that the 'photothermal force' detected by a tip-based optical force microscope is caused by the axial shift of the cantilever from thermal expansion of the nanoparticle and its glass substrate, and that this force can be converted into a nanoscale temperature reading. The authors claim a temperature sensitivity of about 0.1 K (100 mK) without any added temperature-sensitive layer, using phase-informed decomposition to separate the photothermal force from optical gradient and background forces. If correct, this provides a route to sub-diffraction thermal mapping under ambient conditions—something fluorescence and Raman thermometry cannot easily do at the same resolution. The claims are supported by comparing measured polarization-dependent force differences on chiral gold nanoparticles with simulated temperature differences of roughly 0.3 K.

What carries the argument

The central object is the decoupled optical force nanoscopy system, a tip-based microscope that modulates a 637 nm heating laser at the cantilever resonance and uses phase-informed decomposition (as introduced in reference 29) to separate the measured deflection into optical gradient force, photothermal force, and background signatures. The photothermal force is then interpreted through a thermal-expansion model: the temperature rise from light absorption expands both the gold film or nanoparticle and the roughly 150 µm-thick glass substrate, displacing the cantilever axially. The conversion chain runs from force to axial displacement using the cantilever spring constant of 2.5 nN/nm and its frequency response, and then from displacement to temperature using thermal expansion coefficients of 14×$10^{-6}$ per kelvin for gold and 7.1×$10^{-6}$ per kelvin for glass.

What would settle it

Measure the cantilever's frequency-response transfer function at the modulation frequency (around 67.244 kHz) directly, for instance by applying a known oscillating force to the tip and measuring the deflection amplitude. If the actual transfer function does not amplify a 7 pN force to a roughly 0.22 nm displacement, the reported 0.18 K temperature rise and the 0.1 K detection limit are not supported. Alternatively, compare the optical-force temperature map on a single chiral nanoparticle with a calibrated, independent thermometry method, such as fluorescence lifetime or Raman anti-Stokes thermometry, on the same particle.

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Extended reading notes

Core claim

The central discovery is that the photothermal force in optical force nanoscopy originates from the axial displacement of the AFM cantilever driven by thermal expansion of both the gold nanoparticle and the underlying glass substrate, not from a direct optical gradient interaction. By modulating the heating laser at the cantilever's resonant frequency and using phase-informed decomposition, the authors isolate a photothermal force component that scales with incident power and polarization. Converting the measured force to an axial shift (via the cantilever spring constant and frequency response) and then to temperature via a thermal expansion model yields temperature rises consistent with finite-element simulations. On individual L-chiral gold nanoparticles, right-handed circularly polarized light produces a photothermal force of 142 pN versus 117 pN for left-handed light, corresponding to a 0.28 K simulated temperature difference and an inferred temperature detection limit close to 0.1 K.

Load-bearing premise

The argument hinges on the unstated frequency-response transfer function that converts a measured photothermal force (for example 7 pN) into an axial displacement of 0.22 nm; with a static spring constant of 2.5 nN/nm, the same force would produce only about 0.003 nm, so the dynamic gain must be correctly calibrated for the inferred 0.18 K temperature rise and the 0.1 K sensitivity claim to hold.

Editorial extensions

If this is right

If the 0.1 K sensitivity is real, optical force nanoscopy becomes a practical tool for mapping photothermal heating in single plasmonic nanoparticles, semiconductor devices, and photocatalysts under ambient conditions.
The finding that substrate thermal expansion dominates the signal means temperature maps should be interpreted as relative to a reference region, not as absolute surface temperatures.
Polarization-dependent photothermal force contrast on chiral particles offers a nanoscale readout of circular dichroism without far-field optics.
The method's spatial resolution is set by the tip radius, so it can resolve thermal features well below the diffraction limit.
Because no temperature-sensitive layer is needed, the technique can be applied to unmodified samples and integrated with standard AFM setups.

Reading between the lines

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

Readers should note that the paper's quantitative claim is 0.1 K (100 mK); the word 'millikelvin' in the title would suggest a 1 mK limit, which is not demonstrated in the abstract or the data.
A testable extension would be to use a substrate with calibrated thermal expansion (e.g., fused silica versus BK7) to separate nanoparticle and substrate contributions and validate the absolute temperature scale.
The phase-informed decomposition could also be applied to other modulated forces, such as electrostatic or magnetic forces, to isolate thermal effects from background in multi-physics AFM measurements.
For absolute temperature mapping, the method would need a reference point; the paper acknowledges this limitation, but a practical route is to use the bare substrate region as a thermal baseline.

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Editorial analysis

A structured set of objections, weighed in public.

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

Desk Editor's Note

read the letter

Here's my read. The paper's central 0.1 K sensitivity claim hangs on a number the authors never show. They convert a 7 pN photothermal force difference into a 0.22 nm axial shift using "spring constant of 2.5 nN/nm and frequency response of the cantilever," but the static conversion gives 2.8 pm. To reach 0.22 nm you need a dynamic gain of about 78 at 67.244 kHz. The cantilever's Q, the transfer function, and any measured linewidth are absent. The same hidden gain underlies the claimed 1.6 pN minimum detectable force (0.05 nm times 2.5 nN/nm is 125 pN statically). Without H(f), the temperature numbers do not follow. The title's "millikelvin" also overstates things; the text says ~0.1 K (100 mK).

What is genuinely new: the paper applies the group's earlier phase-informed optical force nanoscopy (ref. 29) to temperature quantification and demonstrates polarization-dependent photothermal mapping on chiral gold nanoparticles. The thermal-expansion-based sensitivity analysis and the chiral-particle demonstration are not in ref. 29. The experimental work looks careful: axial shifts scale with power, force maps track the nanoparticle morphology, and the authors candidly discuss edge artifacts and the need for a reference baseline. They even warn against assigning absolute temperature directly from individual force values, which shows good judgment.

The soft spots, in order of severity. First, the missing transfer function is load-bearing. The simulation "corroboration" is not independent: both the simulated temperature-to-expansion and the experimental force-to-temperature conversion use the same thermal expansion model, so agreement is partly by construction. Second, the detection limit is defined from simulation at a hand-chosen power ratio of 30, not from a measured noise floor; that is an operating-point sensitivity, not a true detection limit. Third, reflectance contrast is used as a proxy for absorption to justify the 637 nm wavelength. Given the photothermal force is a direct absorption readout, this is a minor point, but the small differential reflectance should be checked against the actual photothermal signal.

I think the reader's take is essentially right, though I would frame it as major revision rather than outright rejection. The platform is interesting, the chiral-particle application is a nice extension, and the missing transfer function is a missing measurement, not a fatal conceptual error. If the authors report the cantilever Q or a measured transfer function, and define the detection limit from noise rather than simulation, the central claim becomes testable. Without that, it does not hold.

Recommendation: send to peer review with the explicit demand for the transfer function and an independent temperature validation. I would not accept it in its current form.

Referee Report

4 major / 5 minor

Summary. The manuscript reports a tip-based optical force nanoscopy approach for measuring photothermal forces on chiral gold nanoparticles under circularly polarized illumination. The authors measure a polarization-dependent photothermal force difference (RCP vs LCP) at a modulation frequency equal to the cantilever resonance, convert that force to an axial displacement using the cantilever spring constant and an unspecified frequency response, and then convert the displacement to a temperature increment using a thermal expansion model for the gold film and glass substrate. They claim a temperature detection limit close to 0.1 K and present sub-diffraction photothermal force maps of individual chiral nanoparticles.

Significance. If the 0.1 K sensitivity were firmly established, the method would offer an attractive ambient-condition, tip-based thermometry tool with sub-diffraction spatial resolution. The paper contains high-quality experimental maps, a careful discussion of background signals, and an explicit acknowledgment of limitations such as the need for a reference point and tip dependence. However, the central calibration step—converting measured photothermal force to axial displacement—is not reported, and the temperature values are not independently verified. These issues currently leave the quantitative claims underdetermined.

major comments (4)

[Temperature sensitivity (Fig. 4)] The conversion of the measured photothermal force difference of 7 pN to an axial shift of 0.22 nm is not reproducible from the stated spring constant of 2.5 nN/nm: the static relation F = kx gives 7 pN / 2.5 nN/nm = 0.003 nm. The sentence 'by back-calculation with spring constant of 2.5 nN/nm and frequency response of the cantilever' does not specify the cantilever transfer function H(f0), the quality factor, or how this factor was obtained. The same hidden gain (about 78) is needed to reconcile the stated minimum detectable force of 1.6 pN with the 0.05 nm axial resolution (0.05 nm × 2.5 nN/nm = 125 pN). Because the inferred 0.18 K temperature increment and the 'close to 0.1 K' detection limit are obtained by applying this unstated factor to measured forces, the central claim is not supported by the reported data unless the transfer function is explicitly measured and stated.
[Temperature sensitivity (Fig. 4)] The temperature detection limit of 0.16 K is stated to be 'obtained from simulation results using a power ratio of 30,' but no simulation at that power ratio is presented. The simulation shown in Fig. 3f uses an incident power of 8×10^6 W/m², whereas 30×1.5×10^5 W/m² = 4.5×10^6 W/m². A linear scaling could give 0.16 K, but this is not shown or explicitly discussed. Moreover, the measured photothermal force values quoted for power ratio 30 (RCP = 36.2 pN, LCP = 25.8 pN) give a difference of 10.4 pN, not the 7 pN used in the subsequent analysis; the definition of the 7 pN value and the averaging procedure need to be clarified.
[Photothermal force of a chiral gold nanoparticle] The claimed agreement between simulation and experiment is circular. The simulated temperature difference (Fig. 3f) is converted to a force difference using the same thermal expansion model and the same (unspecified) cantilever transfer function that is later used to convert the measured force difference back to a temperature. The 'close agreement' therefore does not independently validate the force-to-temperature conversion. An independent calibration (e.g., a sample with known thermal expansion or a separate displacement measurement) is required to break this circularity.
[Characterization of chiral nanoparticles] The choice of 637 nm is based on a differential reflectance signal (Fig. 2b), but reflectance is not a direct measure of absorption. The photothermal force is governed by absorbed power, and the manuscript does not establish that the reflectance difference at 637 nm is proportional to the absorption difference for these chiral nanoparticles. Without such a link, the RCP-LCP photothermal force contrast, which the manuscript attributes to a temperature difference, could in principle originate from scattering or other optical forces.

minor comments (5)

[Title and Abstract] The title claims 'Millikelvin Temperature Sensitivity,' but the abstract and the text report a sensitivity of approximately 0.1 K (100 mK), and the measured detection limit is 0.16–0.18 K. This is an order-of-magnitude mismatch and should be corrected in the title or the claims should be revised to millikelvin-scale if the authors can support it.
[Equation (2)] Equation (2) contains a typographical issue: the integral is written with 'ρz' rather than a proper differential element, and the variables ho and z are not defined consistently in the integrand. The intended form of the integrand should be stated clearly.
[Figure 4a and text] The photothermal force values at power ratio 20 show that LCP gives a higher signal inside the nanoparticle (17 pN) than RCP (13.3 pN), whereas at power ratio 30 RCP is higher (36.2 pN vs 25.8 pN). This non-monotonic polarization dependence is not discussed and may indicate a background or averaging issue that deserves comment.
[Figure 3c,d] The text states that the four vertices of the chiral nanoparticle are clearly identifiable in the photothermal force maps, but the maps in Figs. 3c and 3d are not annotated with the same arrows as in Fig. 3a. Adding matching annotations would help the reader verify this claim.
[Methods: photothermal force measurement] The phase-informed decomposition method introduced in ref. 29 is referred to as a key element, but the present manuscript does not summarize the decomposition procedure (e.g., how the lock-in phase separates gradient, photothermal, and background forces). Providing a brief description or a reference to a detailed account would improve reproducibility.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the temperature inference is model-based and cross-checked against an independent heat-transfer simulation, not derived from the measured force by construction.

full rationale

The paper's central quantitative chain is: measured photothermal force -> axial shift via cantilever spring constant (with a frequency-response correction) -> temperature via the thermal expansion model in Eq. (2). This is a physical inference, not a definitional tautology. The simulated temperatures in Figs. 1e and 3b come from a heat-transfer calculation with stated thermal conductivities and geometry, not from the measured force values, so the agreement between simulated and force-inferred temperatures is a genuine cross-check rather than a circular reduction. The 7 pN to 0.22 nm conversion depends on an unstated cantilever transfer function, which is a calibration gap or correctness risk, but it is not a case of a fitted parameter being renamed as a prediction. The phase-informed decomposition is cited from prior work (ref. 29), but the present paper does not rest its central temperature claim solely on that citation; the measurements and simulations provide independent content. No equation is shown to be equivalent to its own input, and no fitted parameter equals the claimed 0.1 K sensitivity by construction. Therefore no significant circularity is found.

Assumptions & free parameters 2 free parameters · 6 assumptions · 0 invented entities

The central claims do not introduce new constants of nature, but they lean on an unstated dynamic cantilever gain, a hand-chosen power threshold, and several assumptions about thermal modeling and reflectance-based absorption contrast.

free parameters (2)

Detection threshold power ratio = 30X
The detection limit is defined at a laser power 30 times the 1.5e5 W/m2 reference; at ratios below 30 the paper states the nanoparticle signal is indistinguishable from background, so this threshold is chosen by hand and determines the 0.16 K simulated sensitivity.
Cantilever dynamic force-to-displacement gain = Implicit, approximately 0.031 nm/pN for the 7 pN to 0.22 nm conversion
The apparent compliance (0.22 nm per 7 pN) is about 78 times larger than the static 1/k from the stated 2.5 nN/nm spring constant. No equation is given for this gain, yet the central temperature conversion depends on it.

assumptions (6)

domain assumption Thermal expansion of the gold film and glass substrate is linear and additive over the measured temperature range (Eq. 2).
Used to convert every measured axial shift into a temperature increment; the illuminated area is small, so volumetric expansion is approximated as linear.
domain assumption The steady-state temperature profile of Eq. (1) with uniform illumination is valid for the experiment.
Borrowed from ref. 30; the heat source and thermal conductivity values are inputs rather than measured for this sample.
domain assumption Differential reflectance contrast between RCP and LCP at 637 nm on the glass-air interface reflects a difference in absorbed power and hence temperature.
The solution CD at 640 nm is reported as zero, so the solid-state contrast could be scattering-dominated; absorption difference is assumed but not directly measured.
domain assumption The dynamic cantilever amplitude change is linearly proportional to the photothermal force over the drive condition f0 + 100 Hz.
Needed for the 7 pN to 0.22 nm conversion; the transfer function is not derived or referenced.
domain assumption The simulated chiral cube with stated thermal conductivities accurately represents the measured nanoparticle and its thermal response.
The simulation is the source of the 0.16 K detection-limit temperature difference and the 0.28 K RCP/LCP difference used for validation.
domain assumption Phase-informed decomposition cleanly separates gradient, photothermal, and background forces.
The decomposition is adopted from ref. 29 without reproducing its derivation in this paper.

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Cite this review

Pith. "Pith review of Probing Millikelvin Temperature Sensitivity in Chiral Nanoparticles via Optical Forces." pith.science (2026). https://pith.science/paper/46P6JC7A

@misc{pith2026250606641,
  author       = {Pith},
  title        = {Pith review of: Probing Millikelvin Temperature Sensitivity in Chiral Nanoparticles via Optical Forces},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/46P6JC7A}},
  note         = {Machine review of arXiv:2506.06641}
}

read the original abstract

With increasing interest in utilizing nanostructures as nanoscale heat sources, the ability to precisely measure photothermal effects at the nanoscale has become increasingly significant. Techniques based on fluorescence or Raman signals often suffer from challenges in accurate calibration, far-field imaging methods are limited by diffraction-limited spatial resolution, and electron microscopy requires vacuum conditions, restricting in situ applicability. In contrast, tip-based measurement techniques offer sub-diffraction spatial resolution under ambient conditions, making them well-suited for nanoscale photothermal mapping. In this study, we employ tip-based optical force nanoscopy combined with phase-informed decomposition to investigate the origin of the photothermal force, enable nanoscale mapping, and evaluate temperature sensitivity. Our system achieves a temperature sensitivity of approximately 0.1 K without necessitating an additional temperature-sensitive layer. We anticipate that our approach has the potential to serve as a versatile platform for investigating localized thermal effects in fields such as semiconductors, nanophotonics, and photocatalysis.

Figures

Figures reproduced from arXiv: 2506.06641 by the authors.

**Figure 1.** Origin of photothermal force. a Schematic illustration of the photothermal force, showing thermal expansion upon optical heating of a gold film and the underlying glass substrate. Heat dissipates through the substrate, and a scanning probe measures the overall thermal expansion of the film. b Analytical solution of the temperature profile along the z-axis under uniform illumination. R denotes the radius of the illum… view at source ↗

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Pith tools

Reviewed August 7, 2026 · model on record in the stance chip above.

[1] [1]

H., Maier, S

Altug, H., Oh, S. H., Maier, S. A., Homola, J. Advances and applications of nanophotonic biosensors. Nat. Nanotechnol. 17, 5-16 (2022)

work page 2022

[2] [2]

Enantiospecific detection of chiral nanosamples using photoinduced force

Kamandi, M., et al. Enantiospecific detection of chiral nanosamples using photoinduced force. Phys Rev Appl 8, (2017)

work page 2017

[3] [3]

J., Wang, A

Hang, Y . J., Wang, A. Y ., Wu, N. Q. Plasmonic silver and gold nanoparticles: Shape- and structure- modulated plasmonic functionality for point -of-caring sensing, bio-imaging and medical therapy. Chem. Soc. Rev. 53, 2932-2971 (2024)

work page 2024

[4] [4]

B., Carlin, C

Yuan, L., Bourgeois, B. B., Carlin, C. C., da Jornada, F. H., Dionne, J. A. Sustainable chemistry with plasmonic photocatalysts. Nanophotonics 12, 2745-2762 (2023)

work page 2023

[5] [5]

T., Lin, H., Jia, B

Lin, K. T., Lin, H., Jia, B. H. Plasmonic nanostructures in photodetection, energy conversion and beyond. Nanophotonics 9, 3135-3163 (2020)

work page 2020

[6] [6]

Y ., et al

Zhang, S. Y ., et al. Metasurfaces for biomedical applications: Imaging and sensing from a nanophotonics perspective. Nanophotonics 10, 259-293 (2021)

work page 2021

[7] [7]

Perspectives of chiral nanophotonics: From mechanisms to biomedical applications

Im, S., Mousavi, S., Chen, Y .-S., Zhao, Y . Perspectives of chiral nanophotonics: From mechanisms to biomedical applications. npj Nanophotonics 1, 46 (2024)

work page 2024

[8] [8]

Thermo-plasmonics: Using metallic nanostructures as nano-sources of heat

Baffou, G., Quidant, R. Thermo-plasmonics: Using metallic nanostructures as nano-sources of heat. Laser Photonics Rev. 7, 171-187 (2013)

work page 2013