Consider an electron in a three-dimensional cubic box. Use the model of the particle in the box to calculate the energy of the electron in the box. state determined by the following quantum numbers:

nx =1, ny =2, nz= 1.

Determine the degree of degeneracy of the corresponding energy level.

Suppose the length of the sides of the box is L = 5,000 x 10^-10m. The mass of the electron is me =9.1094 x 10^-31 kg and the constant of Planck is h =6.6261 x 10^-34 J-s

1.

The energy of the particle is E =.

2.

The degree of degeneracy is D =

1 6 2. 1.88 x 10-20 7.45 x 10-18 1.44 x 10-16 9 5.45 x 10-18 241 x 10-19 4,01 x 1018 X 0 3