- #1

perplexabot

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## Homework Statement

Given: Density (D) of Si is 2.328 g/cm^3. Si has diamond crystal structure.

Find: Theoretical density of a single crystal of Si.

## Homework Equations

Theoretical density = m/V

## The Attempt at a Solution

I know mass = (number of atoms) x (mass of atom), in a diamond crystal structure there are: [(1/8) x 8] + [(1/2) x 6] + [(1) x 4] = 8 Si atoms/crystal structure

Now calculating volume is my issue, do I need the lattice constant? If so, how does one calculate it?

Or is it just V = (m x 8)/D = (m x 8)/2.328, where m = 28.1 amu converted to grams?

However, if I do that, I think I'll end up with the given density. What is the difference between the given density and theoretical density? Please help.

Thank you.