Driven in part by a global need for advanced energy storage technologies (i.e., batteries), researchers continue to explore the nature of ion motions in non-crystalline materials including polymer electrolytes and ion-conducting glasses. Past research activities focussed on understanding the self-similar properties of ion conductivity seen in frequency-dependent impedance measurements and their possible connection with the structure of the amophous matrix. More recent work has focussed on the origins of the so-called 'nearly constant loss' which is universally observed in ion conductors at extremely high frequencies or extremely low temperatures.