In this study, we
investigated the viscoelastic properties of metal
nanoparticle monolayers at the air/water interface by dilational rheology
under periodic oscillation of surface area. Au nanoparticles capped
with oleylamine form a stable, dense monolayer on a Langmuir film
balance. The stress response function of a nanoparticle monolayer
was first analyzed using the classical Kelvin–Voigt model,
yielding the spring constant and viscosity. The obtained results suggest
that the monolayer of nanoparticles is predominantly elastic, forming
a two-dimensional physical gel. As the global shape of the signal
exhibited a clear nonlinearity, we further analyzed the data with
the higher modes in the Fourier series expansion. The imaginary part
of the higher mode signal was stronger than the real part, suggesting
that the dissipative term mainly causes the nonlinearity. Intriguingly,
the response function measured at larger strain amplitude became asymmetric,
accompanied by the emergence of even modes. The significance of interactions
between nanoparticles was quantitatively assessed by calculating the
potential of mean force, indicating that the lateral correlation could
reach up to the distance much larger than the particle diameter. The
influence of surface chemical functions and core metal has also been
examined by using Au nanoparticles capped with partially fluorinated
alkanethiolate and Ag nanoparticles capped with myristic acid. The
combination of dilational rheology and correlation analyses can help
us precisely control two-dimensional colloidal assembly of metal nanoparticles
with fine-adjustable localized surface plasmon resonance.