The term nanocomposite is widely employed to describe an extremely broad range of materials, where one of the components has a dimension on the submicron scale. A better and far more restrictive definition would require that a true nanocomposite be a fundamentally new material (hybrid) in which the nanometerscale component or structure gives rise to intrinsically new properties, which are not present in the respective macroscopic composites or the pure components. The latter definition necessitates that the nanostructure has dimensions smaller than a characteristic scale that underlies a physical property of the material. For example, for the electronic properties of a conductor or semiconductor, this scale would relate to the de Broglie wavelength of the electron (ranging from a few nanometers for a metal to hundreds of nanometers for a semiconductor), for the mechanical properties of a polymer it would relate to the size of the polymer coil or crystal (again ranging from a few nanometers to hundreds of nanometers), and for the thermodynamic properties of a polymer glass it would relate to the cooperativity length (a few nanometers).In this chapter we restrict our discussion even further, focusing on one subclass of polymer-inorganic nanocomposites, where the polymers are typically thermoplastics and the inorganic component is a high aspect ratio nanoscale filler. Particular emphasis will be given to principles that apply to pseudo-twodimensional layered inorganic fillers (such as 2:1 aluminosilicates, 1 -9 from where