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Ch.12 - Solids and Modern Materials

Chapter 12, Problem 36a

Calcium crystallizes in a body-centered cubic structure at 467°C. (a) How many Ca atoms are contained in each unit cell?

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Hi everyone. So in this question, we're asked to identify the number of chromium atoms and its unit cell. If it crystallizes with the body center even structured, recall that in a unit cell, the atoms have different contributions depending on their location. For the corner atoms, the contribution 18 Adams in the center, The contribution is one for the atoms in the face of a cube, The contribution is 1/ in a body center, cubic unit cell. For the corner Adams, we have eight, the atoms in the center. We have one. So for the number of atoms we get eight. Promise 18 last one. And this gives us two. Thanks for watching my video and I hope it was helpful.
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Textbook Question

Consider the unit cells shown here for three different structures that are commonly observed for metallic elements. (a) Which structure(s) corresponds to the densest packing of atoms?

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Textbook Question

Consider the unit cells shown here for three different structures that are commonly observed for metallic elements. (b) Which structure(s) corresponds to the least dense packing of atoms?

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Textbook Question

Sodium metal (atomic weight 22.99 g>mol) adopts a body-centered cubic structure with a density of 0.97 g>cm3. (b) If sodium didn't react so vigorously, it could float on water. Use the answer from part (a) to estimate the density of Na if its structure were that of a cubic close-packed metal. Would it still float on water?

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Textbook Question
Calcium crystallizes in a face-centered cubic unit cell at room temperature that has an edge length of 5.588 Å. (b) Calculate the density of Ca metal at this temperature.
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Textbook Question

An element crystallizes in a face-centered cubic lattice. The edge of the unit cell is 4.078 Å, and the density of the crystal is 19.30 g>cm3. Calculate the atomic weight of the element and identify the element.

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Textbook Question

Which of these statements about alloys and intermetallic compounds is false? (a) Bronze is an example of an alloy. (b) 'Alloy' is just another word for 'a chemical compound of fixed composition that is made of two or more metals.' (c) Intermetallics are compounds of two or more metals that have a definite composition and are not considered alloys. (d) If you mix two metals together and, at the atomic level, they separate into two or more different compositional phases, you have created a heterogeneous alloy. (e) Alloys can be formed even if the atoms that comprise them are rather different in size.

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