We report a highly predictive approach to capturing the major substrate−polymer interactions that can dominate nanoscale ordering and orientation in block polymer (BP) thin films. Our approach allows one to create designer BP thin films on modified substrates while minimizing the need for extensive parameter space exploration. Herein, we systematically and quantitatively examined the influence of substrate surface energy components (dispersive and polar interactions) on thin film self-assembly, and our analysis demonstrates that although total surface energy plays a dominant role in substrate wetting, individual contributions from the dispersive and polar components of the surface energy influence the composite through-film behavior. Additionally, long-range forces as described by the Hamaker constant are under-recognized factors in thin film assembly and can alter expected wetting behavior by affecting thermodynamic stability. This more inclusive interpretation of surface energy effects, including the Hamaker constant, on BP thin films was supported by studies of interfacial and through-film behavior as gleaned from temporal island/hole measurements via in situ optical microscopy during thermal annealing. The formalism correctly predicted experimental wetting and hole formation sizes over a wide range of substrate surface energies when employing the appropriate relationships based on decoupled dispersive and polar components. Our results indicate a promising and more universal approach for matching desired BP thin film self-assembly with chemically tailored substrate modifications.
■ INTRODUCTIONBlock polymers (BPs) have received significant attention because they can self-assemble into nanostructures (e.g., spheres, cylinders, networks, and lamellae) with periodicities from 5 to 100 nm, which are ideal for thin film applications including nanolithographic masks, nanotemplates, nanoporous membranes, and organic solar cells. 1−7 Although bulk BP selfassembly is dependent largely on the Flory−Huggins interaction parameter (χ), the degree of polymerization (N), and the block volume fractions ( f), thin film self-assembly is influenced by additional confinement parameters such as film thickness (t), substrate surface interactions, and/or free surface interactions. 5,8−12 Furthermore, as the number of potential BP systems continues to increase, 13 experimental investigation of the full parameter space in a given system is no longer feasible and must be replaced by predictive tools that incorporate the nuanced effects of surface interactions and film thickness on nanoscale morphology, ordering, and orientation. 14 Previous studies suggest that substrate−polymer interactions are some of the most influential factors controlling polymer wetting behavior, 15,16 nanostructure orientation, 17−20 nanostructure uniformity through the film, 21−23 and defect density 24,25 in BP thin films. The substrate−polymer interactions typically are quantified by the interfacial energy (Δγ A ) or difference between the substrate (γ S ) and...