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17 February, 19:20

An ax ceramic compound has the rock salt crystal structure. if the radii of the a and x ions are 0.137 nm and 0.241 nm, respectively, and the respective atomic weights are 22.7 g/mol and 91.4 g/mol, what is the density of this material? 0.571 g/cm3

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  1. 17 February, 19:24
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    P = n'∑Ac + ∑AA/VcNA

    = n' (∑Ac + ∑AA) / 9³NA

    =n' (∑Ac + ∑AA) / (2 (rA + rX)) ³ NA

    n' = number of atoms per unit cell

    = 4 (assumption)

    rA = 0.137 * 10⁻⁷ cm

    rX = 0.241 * 10⁻⁷ cm

    NA = Avagadros number

    = 6.022 * 10²³

    ∑Ac = Atomic weight of all cations

    ∑AA = Atomic weight of all anions

    p = n' (∑Ac + ∑∑AA) / (2 (rA + rx)) ³NA

    = 4 (22.7 + 91.4 / (2 (0.137 * 10⁻⁷ + 0.241 * 10⁻⁷)) ³ 6.022 * 10²³

    = 1.75 gm/cc
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