1. The problem statement, all variables and given/known data An atomic spectrum contains a line with a wavelength centered at 460 nm. Careful measurements show the line is really spread out between 459 and 461 nm. Estimate the lifetime of the excited state that produced this line. 2. Relevant equations Change in Frequency = Speed of light/Change in Wavelength Time = The inverse of frequency 3. The attempt at a solution Change in wavelength = 461nm -459 nm = 2 nm or 2x10^-9 meters Change in frequency = speed of light/change in wavelength = (3x10^8)/(2x10^-9) = 1.5x10^17 in units of s^-1 Life time = 1/(1.5x10^17) = 6.7*10^-18 seconds But this is wrong and I don't know where to go from here. Please help!