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We put forward a twofold enantioselective method for chiral nanoparticles using optical tweezers. First, we demonstrate that the optical trapping force in a typical, realistic optical tweezing setup with circularly-polarized trapping beams are sensitive to the chirality of core-shell nanoparticles, allowing for efficient enantioselection. Second, we propose another enantioselective method based on the rotation of core-shell chiral nanoparticles' equilibrium position under the effect of a transverse Stokes drag force. In this case, the chirality of the particle shell gives rise to an additional twist, thus leading to a strong enhancement of the optical torque driving the rotation. Both chiral resolution methods are shown to be robust against the variation of the size of the system and material parameters, suggesting it could be applied to a wide range of experimental situations, particularly those of biological interest for which optical tweezing is widely used. Our results provide alternative enantioselective mechanisms and pave the way for all-optical manipulation and enantiopure synthesis of chiral nanoparticles. In addition, they can also be applied in the characterization of chirality for testing existing methods of enantioselection.

We show that the optical force field in optical tweezers with elliptically polarized beams has the opposite handedness for a wide range of particle sizes and for the most common configurations. Our method is based on the direct observation of the particle equilibrium position under the effect of a transverse Stokes drag force, and its rotation around the optical axis by the mechanical effect of the optical torque. We find overall agreement with theory, with no fitting, provided that astigmatism, which is characterized separately, is included in the theoretical description. Our work opens the way for characterization of the trapping parameters, such as the microsphere complex refractive index and the astigmatism of the optical system, from measurements of the microsphere rotation angle.

We extend a previous proposal for absolute calibration of optical tweezers by including optical setup aberrations into the first-principles theory, with no fitting parameters. Astigmatism, the dominant term, is determined from images of the focused laser spot. Correcting it can substantially increase stiffness. Comparison with experimental results yields agreement within error bars for a broad range of bead sizes and trap heights, as well as different polarizations. Absolute calibration is established as a reliable and practical method for applications and design of optical tweezers systems.

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