Density of Iron Carbide (Fe3C)

There are 4 molecules of Fe3C per unit cell. The cell is orthorombic, typical lattice parameters at room temperature are given below from Mehl etal, Trans AIMME, 1933.

Mass
——-

m = mass of 1 mole of unit cells
= 12 x FeRAM + 4 x CRAM
= 12 x 55.845 + 4 x 12.011 = 670.14 + 48.044
= 718.184 g/mol

Fe3C unit cell is 718.184 g/mol

Volume
——-
v = volume of 1 mole of unit cells
= AV x a x b x c
= 6.0221415 × 1023 x 4.518 x 5.069 x 6.736 x 10-30
= 9.2901×10-5 m3

Density
——-
d = density
= m/v
= 0.71814 kg / 9.2901 x 10-5 m3
= 7730.14 kg/m3

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