Evidence map›Paper›PMID 33472972›Full record

ArticleProceedings of the National Academy of Sciences of the United States of America2021

Designing angle-independent structural colors using Monte Carlo simulations of multiple scattering.

Victoria Hwang, Anna B Stephenson, Solomon Barkley, Soeren Brandt, Ming Xiao, Joanna Aizenberg, Vinothan N Manoharan

Abstract read
In one paragraph

Article in Proceedings of the National Academy of Sciences of the United States of America, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.

0numbers the graph read from it
0cells of the map it votes in
18citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

18 citing papers in PubMed.

  1. Article
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  4. Designing the Self-Assembly of Disordered Materials Via Color Frustration.Advanced materials (Deerfield Beach, Fla.) · 2025
    Article
  5. Article
  6. Article
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  11. Deconvoluting the Optical Response of Biocompatible Photonic Pigments.Angewandte Chemie (International ed. in English) · 2022
    Article
  12. Deconvoluting the Optical Response of Biocompatible Photonic Pigments.Angewandte Chemie (Weinheim an der Bergstrasse, Germany) · 2022
    Article
  13. Article
  14. Article
  15. Article
  16. Article
  17. Article
  18. Designing angle-independent structural colors using Monte Carlo simulations of multiple scattering.Proceedings of the National Academy of Sciences of the United States of America · 2021
    Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

7 authors.

Victoria HwangHarvard John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138.ORCID http://orcid.org/0000-0001-8193-1170
Anna B StephensonHarvard John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138.
Solomon BarkleyDepartment of Physics, Harvard University, Cambridge, MA 02138.
Soeren BrandtHarvard John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138.ORCID http://orcid.org/0000-0002-6020-7340
Ming XiaoHarvard John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138.
Joanna AizenbergHarvard John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138.
Vinothan N ManoharanHarvard John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138; vnm@seas.harvard.edu.ORCID http://orcid.org/0000-0003-0370-6095

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Disordered nanostructures with correlations on the scale of visible wavelengths can show angle-independent structural colors. These materials could replace dyes in some applications because the color is tunable and resists photobleaching. However, designing nanostructures with a prescribed color is difficult, especially when the application-cosmetics or displays, for example-requires specific component materials. A general approach to solving this constrained design problem is modeling and optimization: Using a model that predicts the color of a given system, one optimizes the model parameters under constraints to achieve a target color. For this approach to work, the model must make accurate predictions, which is challenging because disordered nanostructures have multiple scattering. To address this challenge, we develop a Monte Carlo model that simulates multiple scattering of light in disordered arrangements of spherical particles or voids. The model produces quantitative agreement with measurements when we account for roughness on the surface of the film, particle polydispersity, and wavelength-dependent absorption in the components. Unlike discrete numerical simulations, our model is parameterized in terms of experimental variables, simplifying the connection between simulation and fabrication. To demonstrate this approach, we reproduce the color of the male mountain bluebird (

Indexed as

engineering designMonte Carlomultiple scatteringstructural color

Identifiers

PMID33472972
PMCPMC7848739

What OpenQuestion holds

Textmetadata
Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.