Calcium fluoride, CaF

CHEMISTRY · Single correct · AP · Chemistry · Compound Structure and Properties · Compound Structure and Properties

Problem

Calcium fluoride, CaF2_2, crystallizes so that each Ca2+^{2+} ion is coordinated by eight F−^- ions. Which of the following best accounts for the stability of this unusually high coordination number? (a) The small ionic radius of F−\mathrm{F^-} allows eight of them to approach a Ca2+\mathrm{Ca^{2+}} closely without significant anion–anion repulsion. (b) The rCa2+rF−\dfrac{r_{\mathrm{Ca^{2+}}}}{r_{\mathrm{F^-}}} radius ratio exceeds the 0.7320.732 threshold that permits a cubic site with eight nearest neighbours. (c) The small ionic radius of Ca2+\mathrm{Ca^{2+}} lets it fit comfortably inside a cube of eight fluoride ions, minimising repulsions. (d) Each Ca2+\mathrm{Ca^{2+}} follows the octet rule by surrounding itself with eight F−\mathrm{F^-} ions, which maximises lattice stability.

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