Question #4577

Molybdenum at 20'C is BCC and has an atomic radius of 0.143 nm. calculate a value for its lattice constant a in nanometer.

Expert's answer

Question:

Molybdenum at 20C20^{\circ}\mathrm{C} is BCC and has an atomic radius of 0.143 nm. Calculate a value for its lattice constant a in nanometer.

Solution:

For BCC:


3×a0=4r, thus\sqrt{3} \times a_0 = 4\,\mathrm{r},\ \mathrm{thus}a0=4r3=4×0.143nm3=0.33nma_0 = \frac{4\,\mathrm{r}}{\sqrt{3}} = \frac{4 \times 0.143\,\mathrm{nm}}{\sqrt{3}} = 0.33\,\mathrm{nm}

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