. What is the minimum radius for the host metal for a H atom (radius 37 pm) to fit in a tetrahedral hole of an fcc unit cell? b. If the H is present as a hydride ion, H2 (ionic radius = 146 pm), is the hydrogen more likely to be found as an interstitial alloy in a tetrahedral or octahedral hole or as a substitutional alloy? Hint: Consult Appendix 3 for atomic radii of metals.

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Hydrogen Storage. Hydrogen is an attractive alternative fuel to hydrocarbons because it has a high fuel value and does not produce carbon dioxide when burned. One challenge to developing a hydrogen economy is storing hydrogen. Many transition metals absorb hydrogen by breaking the H–H bond and storing H atoms in the interstices between the metal atoms.

a. What is the minimum radius for the host metal for a H atom (radius 37 pm) to fit in a tetrahedral hole of an fcc unit cell?

b. If the H is present as a hydride ion, H2 (ionic radius = 146 pm), is the hydrogen more likely to be found as an interstitial alloy in a tetrahedral or octahedral hole or as a substitutional alloy? Hint: Consult Appendix 3 for atomic radii of metals.

 

(The answer is (a) 90 pm; (b) substitutional alloy). Please show your work. Thanks! 

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