Calculating Atomic Spacing for Iron Cube

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SUMMARY

The atomic spacing for a cube of iron can be calculated using its density and mass. A 56-gram cube of iron, with a density of 7.9 grams per cubic centimeter, has a volume of approximately 7.1 cubic centimeters. This volume contains Avogadro's number of atoms, approximately 6.0 x 1023 atoms, leading to a calculated atomic volume of about 1.2 x 10-23 cubic centimeters. Consequently, the linear dimension of one iron atom is determined to be approximately 2.3 x 10-8 centimeters, or 2.3 Angstroms (0.23 nanometers).

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  • Understanding of Avogadro's number
  • Basic knowledge of density calculations
  • Familiarity with cubic lattice structures
  • Concept of atomic volume and dimensions
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  • Learn about density and its role in material science
  • Explore the significance of Avogadro's number in chemistry
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Students in materials science, chemists, physicists, and anyone interested in the atomic structure of metals, particularly iron.

korkox
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How do u calculate the atomic spacing on an iron cube? Can someone please help me!
 
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You mean iron with a cubic lattice?

And what do you know? You cannot calculate anything unless you start with something you know.
 
OK. Let's consider a 56 gram cube of iron. Using a density of 7.9 grams per cc, this cube is about 7.1 cubic cm. It contains Avagadro's nomber of atoms, or 6.0 x 10^23 atoms. So the volume of one atom is about 1.2 x 10^-23 cm^3. Therefore the linear dimension is the cube root, or 2.3 x 10^-8 cm, or about 2.3 Angstroms (0.23 nanometers).
 
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