(2) Free Electron Model of an Atom

Question 1

How are loosely bound valence electrons modelled? What is the net effect?

Answer 1

As non-interacting fermions moving in a potential from a uniform +vely charged background
- System is charge neutral

Question 2

See page 18 for a bookwork of free electrons in a box , and the equation for the Fermi energy

Answer 2

Do it lol

Question 3

What do we call the wave number for the highest occupied energy state?

Answer 3

The Fermi wave number k_F

Question 4

What do we call the energy for the highest occupied energy state?

Answer 4

The Fermi energy E_F

Question 5

See page 18 for the energy eigenvalues for a standing and running wave

Answer 5

Do it

Question 6

See page 19 for the equation with the number of states below a given energy and fermi energy stuff

Answer 6

Do it

Question 7

When there is a large system, what can be said about the states and L?

Answer 7

There is a continuum of states, and L tends to infinity