Answered: Table 12.3 Ionic Radii for Several…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

The unit cell for MgFe₂O₄ (MgO-Fe₂O₃) has cubic symmetry with a unit cell edge length of 0.836 nm. If the density of this material is 4.52 g/cm3, compute its atomic packing factor. For this computation, you will need to use the ionic radii listed in Table Ionic Radii for Several Cations and Anions for a Coordination Number of 6.

Table 12.3 Ionic Radii for Several Cations and Anions for a
Coordination Number of 6
Cation
Ionic Radius (пт)
Anion
Ionic Radius (nm)
Al3+
0.053
Br
0.196
Ba2+
0.136
CI
0.181
Ca2+
0.100
0.133
Cs*
0.170
г
0.220
Fe2+
0.077
02-
0.140
Fe3+
0.069
0.184
K*
0.138
Mg+
0.072
Mn2+
0.067
Na+
0.102
Ni2+
0.069
Si++
0.040
Ti4+
0.061

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