1. The problem statement, all variables and given/known data Consider an electron gas in ONE and TWO dimensions i.e N electrons in a metal wire with length L or in metal sheet with area L^2. Pictures must be drwan of the fermi 'sphere' and the Fermi 'surface' . Why are the two words in quotation marks ? 2. Relevant equations 3. The attempt at a solution From hours of research i did on the WEB .(Im not by no means an expert in SOLID STATE PHYSICS), i managed to find only that in one Dimension the fermi surface is 2 planes separted by distance 2Kf. Ascroft and Mermin as well as Kittel to my knowledge cannot answer this Question. Any Experts in Solid state Physics who can Help ?