“…In doing so, it generates an effective ðzÞ profile of a zeroth order of continuity that does not necessarily saturate at the nominal density value in the middle of each layer. This model has found very wide applications when modeling layered structures such as simple liquid interfaces (Lehmkü hler et al, 2009), organic monolayers (Schwendel et al, 2003), inorganic multilayers (Dö ring et al, 2009;Neuhold et al, 2011), microemulsion films (Berghaus et al, 2016), polymer films (Wieland et al, 2011), nanoparticle superlattices (Zhang et al, 2017), lipid and bio-membranes (Tiemeyer et al, 2010;Phan & Shin, 2015;Nowak et al, 2016), and nanoparticle-biomembrane composite films (Wang et al, 2016;Phan et al, 2017). While all PDFs used in these applications are symmetric functions, asymmetric interfacial profiles are required at times, such as liquid/vapor interfaces in critical adsorption phenomena (Zhao et al, 1995), chemicalgradient-induced interfaces (also known as chemical roughness) (Bé ziel et al, 2008;de Silva et al, 2012), and thin or incomplete layers grown, deposited or adsorbed on impermeable hard surfaces (Yim et al, 2000;Gutberlet et al, 2004).…”