Pure iron has a change in crystal structure from BCC to FCC when heating up above 2. a) 912°C. If the atomic radius of an Fe atom is 0.124 nm, calculate the volumes of the FCC and BCC unit cells. b) With this information in mind, calculate the percent change in volume of a sample of pure Fe as it transforms from an FCC to a BCC structure upon cooling below 912°C. Specify if this percent change manifests as an increase or decrease in volume of the sample. Recall that there are two atoms per BCC unit cell, and four atoms per FCC unit cell.

Pure iron has a change in crystal structure from BCC to FCC when heating up above 2. a) 912°C. If the atomic radius of an Fe atom is 0.124 nm, calculate the volumes of the FCC and BCC unit cells. b) With this information in mind, calculate the percent change in volume of a sample of pure Fe as it transforms from an FCC to a BCC structure upon cooling below 912°C. Specify if this percent change manifests as an increase or decrease in volume of the sample. Recall that there are two atoms per BCC unit cell, and four atoms per FCC unit cell.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter21: The Solid State: Crystals

Section: Chapter Questions

Problem 21.44E

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(a) Pure iron has a change in crystal structure from BCC to FCC when heating up above 912°C. If the atomic radius of an Fe atom is 0.124 nm, calculate the volumes of the FCC and BCC unit cells. (b)Recall that there are two atoms per BCC unit cell, and four atoms per FCC unit cell. With this information in mind, calculate the percent change in volume of a sample of pure Fe as it transforms from an FCC to a BCC structure upon cooling below 912°C. Specify if this percent change manifests as an increase or decrease in volume of the sample.
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