Energy Levels In A Crystalline Solid

The energy of an electron in a hydrogen atom is given by the equation:

E_n%20%3D%20-%20%5Cfrac%7B13.6%20%5Ctext%7B%20eV%7D%7D%7Bn%5E2%7D

where

n

is the principal quantum number. For lithium ion (Li

%5E%2B

), we can use the modified formula:

E_n%20%3D%20-%20%5Cfrac%7B13.6%20%5Ctext%7B%20eV%7D%7D%7Bn%5E2%7D%20%5Ctimes%20Z%5E2

where

Z

is the atomic number, which is 3 for Li

%5E%2B

. The second excited state corresponds to

n%20%3D%203

. So, for Li

%5E%2B

, the energy associated with the second excited state (

n%20%3D%203

) is:

E_3%20%3D%20-%20%5Cfrac%7B13.6%20%5Ctimes%203%5E2%7D%7B3%5E2%7D%20%3D%20-%202.18%20%5Ctimes%2010%5E%7B-18%7D%20%5C%2C%20%5Ctext%7BJ%7D

Chapter Questions
1 MCQs