Particle in a box energy formula: En = n 2 h 2 /8mL 2 The particle-in-a-box ener
ID: 864161 • Letter: P
Question
Particle in a box energy formula: En = n2h2/8mL2
The particle-in-a-box energy formula may be used to predict the wavelengths of photons required to optically excite such as quantum system.
(a) obtain an expression for the wavelength of a photon required to induce a particle-in-a-box to undergo a transition from an inital state with quantum number ni to a final state with quantum number nf, expressed as a function of the particle mass m and the length of the box L (as well as other constants)
(b) use the above result to predict thre wavelength (in nm) of a photon that would be required to promote an electron from a state with ni = 5 to nf = 6, if it is confined within a one-dimentional box of 1nm length.
Explanation / Answer
http://tinypic.com/r/av4z9f/8