INGE 4001 - Engineering Materials

Sections 040 & 080- 1st. Semester 2010-2011

Professor's Data Sheet


TEAM ASSIGNMENT Nº2:  X-Ray Diffraction
10 pts

Due on Dec. 15 in class

In this assignment we will identify two different unknown metals present in a mixture. This is the situation: a careless graduate student mixed in one vial metal powders of two different sources that believed were the same. This enraged our lab technician who decided to test the mixture in our Siemens D500 x-ray diffractometer. Apparently the powder mixture seems to be made of two cubic metals. Your mission, should you decide to accept it, is to help our lab technician identify both metals, following the guidelines below.

In the this link you will find the x-ray pattern obtained for the powder mixture. The D500 x-ray diffractometer is furbished with an x-ray tube with a copper target, so it uses a Cu K-alpha radiation.

Important: To download the text file right-click on the hyperlink and follow the "Save as…" option to save it as a text file. Do not open the file in Internet Explorer and then copy it (it is messier to work with such file format). The dataset consists of two columns, the first one being the diffraction angle 2-theta and the second one, counts of the diffracted X-rays (Intensity).

a) Produce plots of X-ray Intensity vs. 2-theta;

b) Produce plots of Relative Intensity vs. d-spacing (in nm);

c) Identify the crystal structures of both cubic metals;

d) On the plots in a) and b) label all the peaks with their corresponding Miller indices of the planes that produced them;

e) Determine the approximate lattice parameters of both metallic materials.

f) Identify the metals.

g) Compute the theoretical densities of both elements and compare them with data from the literature.

h) The powder appears to be fine. Please determine if this is a nanosized sample.

Additional practice (you don't need to hand in this but it will prepare you better for the exam): Change the radiation used in the experiment (Co-K-alpha instead of Cu-K-alpha ) and observe how the spectrum is modified. Then decide what target you would use if you need to have better resolution (accuracy) in the measurements of: a) low-angle peaks (<30°) and b) high angle-peaks (>70°).

Hand in a report of your work (analysis and graphs). BE PROFESSIONAL IN PRESENTING YOUR REPORT. Do not include the data files! Include the plots by copying your graphs from Excel to the clipboard and then into Word, by using "Edit > Past Special..." and then the option "Picture (enhanced metafile)." For the sake of simplicity it is recommended that you use Excel for the analysis of the X-ray patterns. We prefer a hardcopy of the report. Please include ONLY the names of those team members who participated in the assignment. Leave out (do not report) those students who did not collaborate. Only those students whose names are included will receive credit for this assignment.

Bonus Assignment (8 pts,):

Do exactly the same for this mixture of two metals. Prepare a second report independent from the previous one. This pattern is much more difficult because there is a significant overlap between the two peak sets!! So, you will get full credit if you find out exactly what two metals these are. If you do not have time, please do not do it. Also you can set up smaller groups (or work individually) to complete this bonus part. If you do so, please report only the names working on this part. Good luck!


For more information contact: O. Marcelo Suárez msuarez@ece.uprm.edu