Question

Materials will have different energies associated with the electrons inside them. This is related to how strongly bound they are by their work function. If we sandwich a material with a very low energy between two materials with a high energy, we create a trap for an electron. If this trap is very narrow in one direction in comparison to the others, this is approximately a 1-dimensional box that confines the electron. What is the lowest energy of an electron in the box if the thinnest direction across the materials is 3.09 nm?

Answer 1

Answer:

E = 401.3 eV

Explanation:

As we know that the thinnest gap in the direction of metal is given as

$t = 3.09 nm$

so here we can say that lowest energy of photon will not able to break this electron from above thickness

so we will have

$E = \frac{hc}{\lambda}$

here we have

$hc = 1240 nm-eV}$

also we have

$\lambda = 3.09 nm$

so we will have

$E = \frac{1240}{3.09} eV$

$E = 401.3 eV$