Ultrathin layers of micelles of a diblock copolymer with a polystyrene
corona and a poly(2-vinylpyridine) core have been studied by tapping
scanning force microscopy in air, probing the surface with varying for
ces depending on the setpoint of the probe and the tapping frequency.
The compliance of the core of the micelles was varied by neutralizatio
n of the pyridine groups with HAuCl4 and incorporation of small partic
les. The apparent deformation of the globular micelles was compared wi
th a simple model describing the probe as a forced oscillator which ch
anges its effective spring constant depending on the direct contact wi
th the surface. Consistent with the experiment, the model shows that t
he deformation and the shift in phase are minimized by tapping on the
low-frequency side of the noncontact cantilever resonance.