Calculate the largest diameter a spherical silver nanoparticlecybacatx
1. Calculate the largest diameter a spherical silver nanoparticle can have for there to be no more than
109 electron energy states over a 1 eV interval at an energy of 2 eV.
2. Determine the temperature at which a perfect cube of gold (with a volume of 27 nm3) becomes quantum confined (via the metal‐to‐insulator transition).
3. The wave function, (x), of an electron trapped in a potential well with a finite depth and width, L, is given by:
(x) F sin(kx) Gcos(kx)
for x 0 for 0 x L
for x L
(a) Given that F = G = 5, k = 1, and C= 2 plot (using MatLab or another plotting program) the wave function over the range ‐2 ≤ x ≤ L + 2.
(b)Given that (L) = (0), determine the values of L and B if the wave function corresponds to the third lowest energy state.
- 5 years ago
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