02.Crystal_Struc_Submission

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Indiana University, Purdue University, Indianapolis *

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Chemistry

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Feb 20, 2024

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docx

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Name Shreyaan Jain Section Number Laboratory Instructor Taylor Lourdermilk Date 02/01/2024 Crystalline Structure (just include answers with units on this sheet but include all calculations in lab notebook) A. Primitive Cubic Unit Cells 1. Polonium crystallizes in a primitive cubic unit cell. The side of a unit cell is measured through X-ray diffraction to be 3.80 Å. What is the radius of a polonium atom in Å? 1.2E-8 cm 2. What is the volume, cm 3 of a single polonium atom? (Assume that atoms are spherical. Do you remember what the formula for the volume of a sphere is?) 2.052E-22 cm3 3. What is the total volume, cm 3 of polonium atoms inside the unit cell? 2.05E-22 cm3 4. What is the volume of a unit cell of polonium, cm 3 ? (Do you remember the formula for the volume of a cube?) 54.78E-30 cm3 5. What is the percent of occupied volume in a unit cell of polonium? 10.8% 6. What is the mass, g of a unit cell of polonium? 3.481E-22 g 7. What is the density, g/cm 3 of a sample of polonium? 6.35E6 g/ml 6/16
8. What is the coordination number of an element that arranges in a primitive cubic unit cell? 6 B. Face-Centered Cubic Unit Cells (Show all work) 1. Aluminum crystallizes in a face-centered cubic unit cell. The density of aluminum is 4.05 g/cm 3 . What is the mass, g of aluminum in the unit cell? 1.79E-22 g 2. What is the volume, cm 3 of the unit cell in cubic centimeters? 6.603E-23 cm3 3. What is the side of the unit cell in centimeters? 4.05E-8 cm 4. What is the radius of aluminum in angstroms? 1.43E-8 cm 5. What is the total volume, cm 3 of aluminum atoms inside the unit cell? 1.34E-23 cm3 6. What is the percent of occupied volume in a unit cell of aluminum? 20.29% 6/16
7. What is the coordination number of an element that arranges in a face-centered cubic unit cell? 12 6/16
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C. Body-Centered Cubic Unit Cells (Show all work) 1. An element crystallizes in a body-centered cubic unit cell. The radius of this element is found to be is 2.20Å. The density is 0.991 g/cm 3 . What is the side of the unit cell in centimeters? 4.68E-8 cm 2. What is the volume, cm 3 of the unit cell? 1.39E-22 cm3 3. How many moles of atoms are within one unit cell? 3.32E-24 moles 4. What is the molar mass of this element? 40.97 g/mol 5. Which element do you think that this is? Calcium 6. What is the total volume, cm 3 of this element inside the unit cell? 1.39E-22 cm3 7. What is the percent of occupied volume in a unit cell of this element? 100% 8. What is the coordination number of an element that arranges in a body-centered cubic unit cell? 6/16
8 6/16