Problem 2 lists experimentally determined basis vectors for a triclinic lattice. Calculate the basis vectors of its reciprocal lattice.

Data from Problem 2

Turquoise is an attractive bluish gemstone often fashioned into jewelry by Native Americans. In one XRD experiment, a turquoise sample was shown to have a triclinic Bravais lattice. In a Cartesian frame the measured basis vectors are

where basis vector a is taken to lie along the \(x\)-axis and lengths are in \(\mathrm{nm}\).

Transcribed Image Text:

a = 0.741 b= 0.3221+0.692 0.344+0.241+0.896k,