Mt. Valentine et al., FORCES ON A COLLOIDAL PARTICLE IN A POLYMER-SOLUTION - A STUDY USING OPTICAL TWEEZERS, Journal of physics. Condensed matter, 8(47), 1996, pp. 9477-9482
We report a study of the dynamical behaviour of a polystyrene latex sp
here in a telechelic poly(ethylene oxide) solution using optical tweez
ers. With this new technique, we use a position-sensing detector and a
lock-in amplifier to measure the displacement magnitude and phase res
ponses of one latex sphere driven sinusoidally by optical tweezers. Fo
r a single particle in solution, the equation of motion of the particl
e is simply that of the forced oscillation problem with damping from v
iscous drag and the restoring force from the elasticity of the solutio
n medium and that of the optical tweezers. Because the system is overd
amped, it is not feasible to probe the high-frequency regime. Thus we
cannot measure the viscosity and elastic moduli separately from freque
ncy-dependent measurements alone. At low polymer concentration, measur
ements of the viscosity have been achieved. We compared the measured v
iscosity with that obtained with other measurements. Key issues for fu
rther development of this technique, such as measuring the elastic mod
ulus, are briefly discussed.