Crystals
Lattices and unit cells, with basis vectors chosen to describe the repeating atomic arrangement in salt and diamond and to count atoms per cell.
3 exercises
Exercise 1
How many fundamental regions are there in one face of a speck of salt? (With a ruler, we can estimate that face is a square that is cm on a side.)
Exercise 3
Give the locations of the atoms in the diamond cube both in terms of the basis, and in Ångstroms.
Exercise 4
This illustrates how we could compute the dimensions of a unit cell from the shape in which a substance crystallizes (, p. 462).
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Recall that there are atoms in a mole (this is Avogadro’s number). From that, and the fact that platinum has a mass of grams per mole, calculate the mass of each atom.
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Platinum crystallizes in a face-centered cubic lattice with atoms at each lattice point, that i…
Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.