The Energy Equation for a Particle in a Cubic Box

question 41

Short Answer

The energy equation for a particle in a cubic box of dimensions L_x = L_y = L_z is
E_{nx, ny, nz} = Assume that 8 electrons occupy the allowed energy levels and that 2 electrons can occupy each allowed energy level.
A)In the ground state, how many of the 8 electrons have energy equal to ?
B)In the ground state, how many of the 8 electrons have energy equal to ?
C)In the ground state, how many of the 8 electrons have energy equal to ?
D)Calculate the wavelength of light necessary to promote the highest-energy ground-state electron into the lowest-energy excited state. Assume a cubic box with dimensions 1.50 nm * 1.50 nm * 1.50 nm.

• A)In the ground state, how many of the 8 electrons have energy equal to ?
• B)In the ground state, how many of the 8 electrons have energy equal to ?
• C)In the ground state, how many of the 8 electrons have energy equal to ?
• D)Calculate the wavelength of light necessary to promote the highest-energy ground-state electron into the lowest-energy excited state. Assume a cubic box with dimensions 1.50 nm * 1.50 nm * 1.50 nm.

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