One of the most important enzymes in the world—nitrogenase, the plant protein that catalyzes nitrogen fixation— contains active clusters of iron, sulfur, and molybdenum atoms
To calculate the edge length for given density of metal, we use the equation:
p =Zx M/ Na x a^³ (eq)1
where, density = 10.28g/cm3
Z = number of atom in unit cell = 2 (BCC)
M = atomic mass of metal (molybdenum) = 95.94 g/mol
Avogadro's number
a = edge length of unit cell which we need to find
a = edge length of unit cell =?
Putting values in above equation, we get:
10.28=2x 95.94 / 6.022 x 10^23 x 10.28
= 3.099x 10^ -23
a = ∛3.099 x 10^23
=3.14 x 10^-8
=314pm
Conversion factor used: 1cm=10^10pm
Hence, the edge length of the unit cell is 314 pm
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