Measuring Boltzmann's constant through holographic video microscopy of a single colloidal sphere

Bhaskar Jyoti Krishnatreya, Arielle Colen-Landy, Paige Hasebe, Breanna A. Bell, Jasmine R. Jones, Anderson Sunda-Meya, David G. Grier

    Research output: Contribution to journalArticle

    Abstract

    The trajectory of a colloidal sphere diffusing in water records a history of the random forces exerted on the sphere by thermally driven fluctuations in the suspending fluid. The trajectory therefore can be used to characterize the spectrum of thermal fluctuations and thus to obtain an estimate for Boltzmann's constant. We demonstrate how to use holographic video microscopy to track a colloidal sphere's three-dimensional motions with nanometer precision while simultaneously measuring its radius to within a few nanometers. The combination of tracking and characterization data reliably yields Boltzmann's constant to within two percent and also provides the basis for many other useful and interesting measurements in statistical physics, physical chemistry, and materials science.

    Original languageEnglish (US)
    Article number1.4827275
    JournalAmerican Journal of Physics
    Volume82
    Issue number1
    DOIs
    StatePublished - Jan 1 2014

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    microscopy
    trajectories
    three dimensional motion
    physical chemistry
    materials science
    histories
    physics
    radii
    fluids
    estimates
    water

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Krishnatreya, B. J., Colen-Landy, A., Hasebe, P., Bell, B. A., Jones, J. R., Sunda-Meya, A., & Grier, D. G. (2014). Measuring Boltzmann's constant through holographic video microscopy of a single colloidal sphere. American Journal of Physics, 82(1), [1.4827275]. https://doi.org/10.1119/1.4827275

    Measuring Boltzmann's constant through holographic video microscopy of a single colloidal sphere. / Krishnatreya, Bhaskar Jyoti; Colen-Landy, Arielle; Hasebe, Paige; Bell, Breanna A.; Jones, Jasmine R.; Sunda-Meya, Anderson; Grier, David G.

    In: American Journal of Physics, Vol. 82, No. 1, 1.4827275, 01.01.2014.

    Research output: Contribution to journalArticle

    Krishnatreya, BJ, Colen-Landy, A, Hasebe, P, Bell, BA, Jones, JR, Sunda-Meya, A & Grier, DG 2014, 'Measuring Boltzmann's constant through holographic video microscopy of a single colloidal sphere', American Journal of Physics, vol. 82, no. 1, 1.4827275. https://doi.org/10.1119/1.4827275
    Krishnatreya BJ, Colen-Landy A, Hasebe P, Bell BA, Jones JR, Sunda-Meya A et al. Measuring Boltzmann's constant through holographic video microscopy of a single colloidal sphere. American Journal of Physics. 2014 Jan 1;82(1). 1.4827275. https://doi.org/10.1119/1.4827275
    Krishnatreya, Bhaskar Jyoti ; Colen-Landy, Arielle ; Hasebe, Paige ; Bell, Breanna A. ; Jones, Jasmine R. ; Sunda-Meya, Anderson ; Grier, David G. / Measuring Boltzmann's constant through holographic video microscopy of a single colloidal sphere. In: American Journal of Physics. 2014 ; Vol. 82, No. 1.
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