Hi there,(adsbygoogle = window.adsbygoogle || []).push({});

I want to plot a graph of the right hand side of the equation VS the energy, E, in eV for a periodic array of square wells each of depth 300eV, width 0.05nm, and period 0.1nm using SI units andMICROSOFT EXCELspreadsheet to determine the allowed energy bands and band gaps:

cos(kp)=F=cos(α(p-w))cosh(βw)+((β squared - α squared)/2αβ))sin(α(p-w))sinh(βw)

α = (1/h bar)* square root(2mE)

β = (1/h bar)* square root(2m(V-E))

w = width of barrier separating two adjacent potential wells

p = period

m = mass of an electron

V = well depth

Solutions are only obtained if F is between -1 and 1.

I have no idea how to do this so any help would be much appreciated.

Thanks in advance.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Kronig-Penney Model

**Physics Forums | Science Articles, Homework Help, Discussion**