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Antifluorite structure (A2B) occurs when anions occupy lattice positions and cations occupy eight tetrahedral lattice sites...

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Chemistry

Antifluorite structure (A2B) occurs when anions occupy latticepositions and cations occupy eight tetrahedral lattice sites of f.c. c. One of the best examples which has this structure is Li2O.The ionic radii of Li+ and O2- are as follows : rLi+ = 0.068 nm andrO2- = 0.140 nm. (20 points) a) Draw the antifluorite unit cell ofLi2O and show the Li+ and O2- ions in the unit cell. State theequivalent positions of Li+ and O2- ions in the unit cell. How manynet ions of each are there in the Li2O unit cell? Why? Provideexplanations. How many formula units are there per this unit cell?b) Determine the number of nearest neighbors or the coordinationnumber (C. N.) of each ion in the Li2O unit cell. Provideexplanations, if necessary. c) Calculate the ionic packing factor(IPF) of the Lii2O unit cell. d) What are the closed-packed planesin the Li2O unit cell? Express their Miller indices. On this basis,determine the stacking sequence of the Li2O unit cell. (Hint : UseA, B, C for one kind of ion and use , ,  for the other kind)

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