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An element occurs in two crystalline for...

An element occurs in two crystalline form `alpha` and `beta`. The `alpha`-form has an fcc with a = 3.68 `Å` and `beta`-form has a bcc with a = 2.92 `Å`. Calculate the ratio of their densities.

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To find the ratio of the densities of the two crystalline forms (alpha and beta) of the same element, we will follow these steps: ### Step 1: Determine the effective number of atoms (Z) in the unit cell for both forms. - For the **alpha** form (FCC), Z = 4. - For the **beta** form (BCC), Z = 2. ### Step 2: Calculate the volume of the unit cell for both forms. - The volume \( V \) of a unit cell is given by \( V = a^3 \), where \( a \) is the edge length of the unit cell. ...
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