1. The problem statement, all variables and given/known data Light of various wavelengths is shined on a collection of "quantum wires" all of the same length. Each 'wire' consists of an electron trapped in a carbon nanotube, which we approximate as a 1-D infinite potential well of a width equal to the length of the wire. It is observed that the longest wavelength that is absorbed by the collection of wires (corresponding to an electronic excitation in each wire), is 0.44 mm. What is the length of each wire? 2. Relevant equations En = (h^2/(8mL^2))n^2 E = hc/lamda 3. The attempt at a solution Ok, so I actually know the answer to this question. It is 20 nanometers. I can't figure out what I'm doing wrong, though. Here is what I did: First calculate the energy being absorbed: E = hc/lamda = 1240 / (.44*10^6) = .0028182 Then I use that to find L, the length of the wire (width of the potential well): E1 = (h^2/(8mL^2))1^2 L^2 = (1.505/(4*.0028182)) L = (1.505/(4*.0028182))^.5 = 11.555 nm The answer should be 20 nm, where and how did I go wrong?