2019
DOI: 10.1103/physrevapplied.12.024037
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Precision Mass and Density Measurement of Individual Optically Levitated Microspheres

Abstract: We report an in situ mass measurement of approximately-4.7-µm-diameter, optically levitated microspheres with an electrostatic co-levitation technique. The mass of a trapped, charged microsphere is measured by holding its axial (vertical) position fixed with an optical feedback force, under the influence of a known electrostatic force. A mass measurement with 1.8% systematic uncertainty is obtained by extrapolating to the electrostatic force required to support the microsphere against gravity in the absence of… Show more

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Cited by 37 publications
(20 citation statements)
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“…The values of κ determined with these analyses are shown in Table II, together with the individual MS radii and the expected value of κ, which have both been computed from the known value of the density [33] and the measured value of the MS mass, assuming the MS is thermal equilibrium with the gas. The consistency between the measured and calculated values suggest that in moderate vacuum, P ≈ 10 −3 − 10 −1 mbar, the MS is indeed in thermal equilibrium with the gas.…”
Section: Capacitance Manometer Cross-checkmentioning
confidence: 99%
“…The values of κ determined with these analyses are shown in Table II, together with the individual MS radii and the expected value of κ, which have both been computed from the known value of the density [33] and the measured value of the MS mass, assuming the MS is thermal equilibrium with the gas. The consistency between the measured and calculated values suggest that in moderate vacuum, P ≈ 10 −3 − 10 −1 mbar, the MS is indeed in thermal equilibrium with the gas.…”
Section: Capacitance Manometer Cross-checkmentioning
confidence: 99%
“…Technical noise is a particular obstacle for torque sensing with fast nanorotors because it linearly increases with rotational frequency and makes shot-noise-limited operation difficult [91]. Other challenges include calibration uncertainties (e.g., particle mass) [116,[181][182][183] and the temperature dependence of system parameters (e.g., index of refraction of particle). Although some of these noise sources can be suppressed by differential measurements, the potential of levitation-based sensors for commercial applications requires thorough evaluation and optimization procedures.…”
Section: Open Challengesmentioning
confidence: 99%
“…Two independent methods were recently employed to measure the refractive index of silica microspheres from the same batch at λ 0 = 470 nm [84]. The result is smaller than the bulk fused silica index, which we attribute to the porosity of the beads (see also [131] for related findings from a mass measurement). In order to infer the refractive index at the trapping laser wavelength λ 0 = 1064 nm, we employ the (Mie-based) extended Maxwell-Garnett (EMG) effective medium theory [132,133] assuming that our silica beads are filled with empty pores.…”
Section: Trap Stiffness Calibrationmentioning
confidence: 99%