# Question: The treatment of a particle in a one dimensional box can

The treatment of a particle in a one-dimensional box can be extended to a two-dimensional box of dimensions Lx and Ly yielding the following expression for energy:

The two quantum numbers independently can assume only integer values. Consider an electron confined to a two-dimensional box that is 8.00 nm in the x direction and 5.00 nm in the y direction.

a. What are the quantum numbers for the first three allowed energy levels?

b. Calculate the wavelength of light necessary to promote an electron from the first excited state to the second excited state.

The two quantum numbers independently can assume only integer values. Consider an electron confined to a two-dimensional box that is 8.00 nm in the x direction and 5.00 nm in the y direction.

a. What are the quantum numbers for the first three allowed energy levels?

b. Calculate the wavelength of light necessary to promote an electron from the first excited state to the second excited state.

## Answer to relevant Questions

The following numbers are the ratios of second ionization energy to first ionization energy: Na: 9.2 P: 1.8 Mg: 2.0 S: 2.3 Al: 3.1 Cl: 1.8 Si: 2.0 Ar: 1.8 Explain these relative numbers. The ionization energy for a 1s electron in a silver atom is 2.462 × 106 kJ/ mol. a. Determine an approximate value for Zeff for the Ag 1s electron. You will first have to derive an equation that relates Zeff to ionization ...Characterize the Bohr model of the atom. In the Bohr model, what do we mean when we say something is quantized? How does the Bohr model of the hydrogen atom explain the hydrogen emission spectrum? Why is the Bohr model ...An excited hydrogen atom with an electron in the n = 5 state emits light having a frequency of 6.90 × 1014 s-1. Determine the principal quantum level for the final state in this electronic transition. An electron in a one- dimensional box requires a wavelength of 8080 nm to excite an electron from the n = 2 to the n = 3 energy level. Calculate the length of this box.Post your question