MSE 421/521 Structural Characterization MSE 421/521 Spring 2016 Dr. Rick Ubic Homework assignment 1 Due 8 February 2016 Structure 1. Define the terms lattice system, crystal system, Bravais lattice, point group, and space group. 10 MSE 421/521 Structural Characterization Waves 2. (a) Define the wavelength, frequency, amplitude, and intensity of a wave. 8 (b) State the relationship between amplitude and intensity of a wave. 2 (c) State the relationship between wavelength and frequency of an electromagnetic wave traveling in a vacuum. 2 (d) At what velocity does an electro-magnetic wave travel in general (be careful)? 3. How is x-radiation generated naturally? 4 4 MSE 421/521 Structural Characterization 4. (a) KBSX broadcasts on 91.5 MHz. What is the wavelength of the broadcast wave and its energy per photon? 8 (b) What is the energy per photon of an x-ray with λ = 1.04nm? 2 (c) How does the energy of the photon in (a) compare with that in (b)? 1 MSE 421/521 Structural Characterization Particles as waves 5. For an electron accelerated by each of the following voltages: i) Calculate its velocity, expressed in ms-1 and as a percentage of the speed of light in vacuum. ii) Calculate its kinetic energy in both J and eV. iii) Calculate its wavelength in Å. (a) For an accelerating voltage of 20 kV 6 (b) For an accelerating voltage of 100 kV 6 (c) For an accelerating voltage of 400 kV 6 MSE 421/521 Structural Characterization Atomic Structure 6. What is the Pauli exclusion principle? How does it affect electrons in the outside electron shells of an atom in a solid material? 7 7. For the element aluminium (atomic number 13):(a) List all the electrons in the atom using the spdf and IUPAC notations. 4 (b) List all the possible x-ray emissions using both Siegbahn and IUPAC notations. You might want to consult the on-line class notes available at: http://coen.boisestate.edu/rickubic/files/2015/11/Notes-II-Properties-of-Waves.pdf 30