2. ZrO2 crystallizes in the fluorite structure. (a) Calculate the crystallographic density of ZrO2, if the...

Question

Question

2. ZrO2 crystallizes in the fluorite structure. (a) Calculate the crystallographic density of ZrO2, if the lattice parameter

Answer 1

Answer #1

1 ) density ( d ) = Z M / N_A a³

Z = number of formula unit ( in fluorite structure z = 4 )

Molar mass = 123.2 gm / mol

lattice parameter ( a ) = 5.26 x 10^–8 cm

density ( d ) = ( 4 x 123.2 gm / mol )/ ( 6 x 10²³ mol x 5.26³ x 10^-24 cm³ ) = 5.64 gm / cm³

2 ) % site occupied = 5.25 gm cm^-3 x 100 / 5.64 gm cm^-3 = 93.085%

% porous space = 100 — 93.085 = 6.92 %

Answer 2

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