Material science Homework

Problem 1:

Calculate the electronic transitions (nf to ni) in hydrogen which will lead

to emission of visible light (400-700 nm).

Problem 2:

(a) Calculate the deBroglie wavelength for an electron with a kinetic energy of 20 keV.

(b) Calculate the deBroglie wavelength for a proton with a kinetic energy of 20 keV.

(c) Calculate the kinetic energy of an electron having a deBroglie wavelength of 10.0 nm.

Problem 3:

Using the solutions to Schrodinger’s equation listed in the lecture notes,

determine the distance at which you would expect to find the outermost

electron in berylium.

Problem 4:

(a) The ionization energy of Ne is 21.6 eV. Using the equation associated with the Bohr atomic model, back-calculate the

effective nuclear charge that the outer-most electron sees.

(b) In a similar fashion back-calculate the effective nuclear charge the outermost electron sees for sodium.

(c) Can you comment on the values of effective nuclear charge relative to the number of protons for each of these two elements?