assume there exists some hypothetical metal that exhibits ferromagnetic behavior and that has 1 simple cubic crystal structure, and atomic radius of 0.130 nm and a saturation flux density of 0.75 tesla. determine the number of bohr magnetons per atom for this material

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15-12-2022
Chemistry

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assume there exists some hypothetical metal that exhibits ferromagnetic behavior and that has 1 simple cubic crystal structure, and atomic radius of 0.130 nm and a saturation flux density of 0.75 tesla. determine the number of bohr magnetons per atom for this material

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abhinavjh321 abhinavjh321 · Answer 1 · 2022-12-20T21:58:14-05:00

The number of bohr magnetons per atom for this material is 1.14 when some hypothetical metal that exhibits ferromagnetic behavior and that has 1 simple cubic crystal structure.

Given atomic radius of crystal structure (r) = 0.130nm

saturation flux density of crystal structure = 0.75tesla

We know that n = M/µN = B/µ0µN

n = BVc/µ0µN where Vc is the volume of crystal and B is bohr magneton

n = B(2r)^3/µ0µN = 0.75x(2x0.130x10-9)^3)/(1.25x10-26x9.27x10-24)

n = 13.18x10-30/11.5x10-50 = 1.14x10^20

Hence the number of bohr magnetons per atom for this material is 1.14 .

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