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For carbon to dissolve in iron, the carbon atoms must be able to squeeze into the holes between the iron atoms in the crystal structure. The largest hole in the BCC structure is in the center of the tetrahedron formed by two corner atoms and the center atoms in adjoining unit cells; thus, the center of the hole lies in the plane of the face of the cell, slightly above (or below) the center, equidistant from the center and the corner of the cell. The Figure below shows a BCC lattice with the tetrahedron in blue lines with its center marked in a red star. If the radius of an atom is R, what is the radius of the largest sphere that could fit into that hole [your solution should be expressed in terms of R]? - |

For carbon to dissolve in iron, the carbon atoms must be able to squeeze into the holes between the iron atoms in the crystal structure. The largest hole in the BCC structure is in the center of the tetrahedron formed by two corner atoms and the center atoms in adjoining unit cells; thus, the center of the hole lies in the plane of the face of the cell, slightly above (or below) the center, equidistant from the center and the corner of the cell. The Figure below shows a BCC lattice with the tetrahedron in blue lines with its center marked in a red star. If the radius of an atom is R, what is the radius of the largest sphere that could fit into that hole [your solution should be expressed in terms of R]? - |

Physical Chemistry
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 21.47E
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For carbon to dissolve in iron, the carbon atoms must be able to squeeze into the holes between the iron atoms in the crystal structure. The largest hole in the BCC structure is in the center of the tetrahedron formed by two corner atoms and the center atoms in adjoining unit cells; thus, the center of the hole lies in the plane of the face of the cell, slightly above (or below) the center, equidistant from the center and the corner of the cell. The Figure below shows a BCC lattice with the tetrahedron in blue lines with its center marked in a red star. If the radius of an atom is R, what is the radius of the largest sphere that could fit into that hole [your solution should be expressed in terms of R]? - |
Transcribed Image Text:For carbon to dissolve in iron, the carbon atoms must be able to squeeze into the holes between the iron atoms in the crystal structure. The largest hole in the BCC structure is in the center of the tetrahedron formed by two corner atoms and the center atoms in adjoining unit cells; thus, the center of the hole lies in the plane of the face of the cell, slightly above (or below) the center, equidistant from the center and the corner of the cell. The Figure below shows a BCC lattice with the tetrahedron in blue lines with its center marked in a red star. If the radius of an atom is R, what is the radius of the largest sphere that could fit into that hole [your solution should be expressed in terms of R]? - |
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