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Ch. 12 Solid State WS

# Ch. 12 Solid State WS - If the unit cell edge is 513 pm...

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Worksheet on Unit Cell, Edge Length & Density Calculations 1. The unit cell of rhenium oxide consists of a cube with rhenium atoms at the corners and an oxygen atom on each of the 12 edges. What is the formula for rhenium oxide (rhenium is Rh)? What charge must the rhenium ion have in this compound? Could you draw the z- diagram to illustrate the unit cell described above? 2. Calculate the edge length of the unit cell of NaCl on the basis on of the average radii of Cl - (181 pm) and Na + (98 pm) assuming that the corner Cl - ions and the Na + along the edges touch (see figure below). 3. Lithium chloride crystallizes with the same structure as NaCl except that the chloride anions touch along the face diagonal of the unit cell.
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Unformatted text preview: If the unit cell edge is 513 pm, what is the radius of a chloride ion? (hint – use the Pythagorean theorem…what is the face diagonal equal to given the first sentence of this problem?) 4. Europium is one of the lanthanide elements used in TV screens. Europium crystallizes in a unit cell with coordination number of 8 and an edge length of 240.6 pm. Calculate the radius of a europium atom. 5. You are given a small bar of an unknown metal. You find the density of the metal to be 10.5 g/cm 3 . An X-ray diffraction experiment measures the edge of the face-centered cubic unit cell as 4.09 Å. (1 Å = 1 x 10-10 m). Identify this metal....
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