Question

a) Sketch the unit cell for Ti3Au.

b) Calculate the atomic packing factor for Ti3Au

c) Calculate the density for Ti3Au

Answer 1

(a): There are two forms of Ti3Au, which are beta-Ti3Au and alpha-Ti3Au.

beta-Ti3Au: In beta-Ti3Au, Au occupies all the corner and the body-center of the unit cell and Ti occupies all the octahedral voids. Hence the unit cell structure is:

alpha-Ti3Au: Au occupies all the corners of the cubic cell, where as Ti occupies one-half of octahedral voids. Hence the unit cell structure is:

(c): The density of beta-Ti3Au is 7.93 g/cm3