Assignment: This week's assignment will be the following: 1. Explain how differences in the ways ions are packed in a solid and can lead to the different structure of: a). simple cubic b). face centered cubic c). centered cubic d). close packed hexagonal.

1. In the table on the following page are excess Gibbs energy of mixing data for three liquid solution phases at various temperatures and compositions (units: Joules/mol). Using these data, determine for each system whether the data are best fitted by a regular solution model, a subregular solution model, a sub-subregular solution model. In each case, give the coefficients determined from your fitting, using Au, Ti and Zn, respectively as element B.

3. Using the Gibbs-Duhem Equation, prove that if the minority element obeys Henry's Law, the majority element must obey Raoult's Law.

1. The mass of an object can be expressed as its volume times the density of the material. You have a steel sphere, and you measure the diameter to be 25.0 mm. If the standard uncertainty of your diameter measurement is up 0.1 mm, what is the expanded uncertainty of the sphere volume? State the volume with its uncertainty in an acceptable manner.

2. You use a mass balance to determine the mass of the sphere, and find it to be 62.3 grams with an estimated standard uncertainty of um = 0.2 grams. State your estimate of the density of the sphere with its expanded uncertainty.

The technical objectives of this lab are to: • Perform a Vickers hardness test on three samples with different heat-treatments; • Perform a Charpy impact test on the three samples; • Observe steel microstructures in an optical microscope.

Assignment Application 1 The design of rails (tracks) for a new railway line

Application 3 A sports company is looking to design a pole to be used in pole vault competitions.

Problem 3: Spherical Pressure Vessel A thin-walled spherical vessel contains a pressure p and has an inner radius r and a wall thickness t. It is made of an isotropic, homogeneous material that behaves in a linear-elastic manner. Determine the following as a function of the pressure (p), the geometric dimensions (r, t) and the materials constants (E, v) involved: a) Change in radius Ar b) Change in wall thickness At For spherical pressure vessel: 6=6=pr/2t, ₂~0

Plot two fcc unit cells for anions. Identify a tetrahedral interstitial site in one and an octahedral site in the other. Identify two adjacent layers of (111) planes in each to show that the two types of interstitial sites are formed between them. Why can it be said that the interstitial structures in the fcc and hcp structures are the same?