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Given a 3-dimensional particle-in-a-box system with infinite barriers and Lx=5nm, Ly=5nm and Lz=6nm. Calculate the energies...

Given a 3-dimensional particle-in-a-box system with infinite barriers and Lx=5nm, Ly=5nm and Lz=6nm. Calculate the energies of the ground state and first excited state. List all combinations of values for the quantum numbers nx, ny and nz that are associated with these states.

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Answer #1

The energy of the particle in a 3-D box is given by

where m is the mass of the particle.

Given

therefore,

or,

the quantum no of the ground state is given by

The energy of the ground state is given by

or,

the quantum no of the first excited state is given by

The energy of the first excited state is given by

or,

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