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Oscillations, Waves, and Interactions - GWDG

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1.3 Optical trapping<br />

DPI60plus – a future with biophysics 437<br />

Optical trapping exploits the transfer of momentum due to scattering or refraction<br />

of photons by refractile objects. The forces on a small particle of higher index of<br />

refraction than its surroundings (for example a latex or glass bead in water) can be<br />

made to trap the particle near the focus of the laser beam. Several aspects make<br />

such an optical trap (or “tweezers”) particularly interesting for the study of single<br />

biomolecules: 1.) the force-range accessible with optical traps is – dependent on laser<br />

power – about 0–250 pN which well matches the forces generated by individual motor<br />

proteins <strong>and</strong> thus fills the gap between load-free conditions in fluorescence experiments<br />

<strong>and</strong> the minimal forces resolvable by AFM (> 50 pN); 2.) the Brownian motion<br />

of the bead in the trapping potential is well measurable <strong>and</strong> can thus be used to report<br />

binding <strong>and</strong> unbinding of individual molecules to their substrate. Binding means<br />

additional spatial confinement or an increase in total system stiffness which results<br />

in a decrease of displacement variance. Such measurements can be performed with a<br />

time resolution of 1 ms which is sufficiently high for the study of many conformational<br />

changes in proteins, for example motor proteins. 3.) The spatial resolution in optical<br />

trapping set-ups using interferometric detection is equally well suited for conformational<br />

changes of many biomolecules, namely in the nanometre range. Acusto-optical<br />

deflectors make it possible to rapidly steer the trap, either to create a time-dependent<br />

force on molecules or to switch between multiple quasi-simultaneous trap positions.<br />

1.4 Microrheology<br />

Currently, optical traps are, on the one h<strong>and</strong>, used in the lab to measure the forces<br />

<strong>and</strong> the steps molecular motors produce when they move along cytoskeletal filaments.<br />

Optical trapping <strong>and</strong> fast <strong>and</strong> accurate position detection are, on the other h<strong>and</strong>, also<br />

used for “microrheology”, i. e. to probe the dynamic viscoelastic properties of soft<br />

systems such as colloidal suspensions or polymer networks on mesoscopic scales. Soft<br />

materials are important in technology. Examples are plastics, synthetic polymers,<br />

polymer solutions, colloids <strong>and</strong> gels. Most biomaterials also classify as soft materials,<br />

such as cytoskeletal protein polymers, polysaccharides, lipid membranes or DNA<br />

solutions. Many of the varied <strong>and</strong> intriguing properties of soft materials stem from<br />

their complex structures <strong>and</strong> dynamics with multiple characteristic length <strong>and</strong> time<br />

scales. One of the characteristic <strong>and</strong> frequently studied material properties of such<br />

systems is their shear modulus. In contrast to ordinary solids, the shear modulus<br />

of polymeric materials can exhibit significant time or frequency dependence in the<br />

range of milliseconds to seconds or even minutes. In fact, such materials are typically<br />

viscoelastic, exhibiting both a viscous <strong>and</strong> an elastic response.<br />

Rheology, which is the experimental <strong>and</strong> theoretical study of viscoelasticity in such<br />

systems, is of both fundamental <strong>and</strong> immense practical significance. Bulk viscoelasticity<br />

is usually measured with mechanical rheometers that probe macroscopic milliliter<br />

samples at frequencies up to tens of Hertz. Recently, a number of techniques have<br />

been developed to probe the material properties of systems ranging from polymer<br />

solutions to the interior of living cells on microscopic scales. These techniques have<br />

come to be called microrheology, as they can be used to locally measure viscoelastic

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