While the density is a central property
of a polymer film, it can
be difficult to measure in films with a thickness of ∼100 nm
or less, where the structure of the interfaces and the confinement
of the polymer chains may perturb the packing and dynamics of the
polymers relative to the bulk. This Article demonstrates the use of
magneto-Archimedes levitation (MagLev) to estimate the density of
thin films of hydrophobic polymers ranging from ∼10 to 1000
nm in thickness by employing a substrate with a water-soluble sacrificial
release layer to delaminate the films. We validate the performance
of MagLev for this application in the ∼1 μm thickness
range by comparing measurements of the densities of several different
films of amorphous hydrophobic polymers with their bulk values of
density. We apply the technique to films < 100 nm and observe that,
in several polymers, there are substantial changes in the levitation
height, corresponding to both increases and decreases in the apparent
density of the film. These apparent changes in density are verified
with a buoyancy control experiment in the absence of paramagnetic
ions and magnetic fields. We measure the dependence of density upon
thickness for two model polymeric films: poly(styrene) (PS) and poly(methyl
methacrylate) (PMMA). We observe that, as the films are made thinner,
PS increases in density while PMMA decreases in density and that both
exhibit a sigmoidal dependence of density with thickness. Such changes
in density with thickness of PS have been previously observed with
reflectometric measurements (e.g., ellipsometry,
X-ray reflectivity). The interpretation of these measurements, however,
has been the subject of an ongoing debate. MagLev is also compatible
with nontransparent, rough, heterogeneous polymeric films, which are
extremely difficult to measure by alternative means. This technique
could be useful to investigate the properties of thin films for coatings,
electronic devices, and membrane-based separations and other uses
of polymer films.