Question

For C

1. Tetragonal Crystal System (a) What are the defining conditions for the 3D tetragonal crystal system in terms of a b, c and a, ß,y? (b) What are the possible Bravais lattices for the tetragonal crystal system? (c) Show using diagrams how the missing special positions are composed of simpler unit cells with a smaller volume (same question as discussion #1). (d) For the cases shown in (c), what are the lattice parameters of the new, simpler unit cell in terms of the original lattice parameters? (e) For each case below, draw the following planes on a tetragonal unit cell where a=b=2 Å and c=4 Å. Use separate drawings as necessary for clarity and include the labels for the lattice vectors. (i) Draw the (112) and (121) planes. (ii) Draw the {110} family of planes. Which specific planes are part of the {110} family of planes for the tetragonal system?

Answer 1

Sol-1 Tetragonal Crystal System For tetragonal 3D crystal system a=b+c] ; 2= B= Y = 900 Example + TiO2, B-Sn , Sn og (b) In three dimensional (3-D) 1. There are two tetragonal Bravais lattices: (1) "The simple tetragonal [from stretching the simple-cubice lattice) (ii) The centered tetragonal from stretching either the face-centered or the body-centered cubic lattice] * Therefore two Bravais lattice for tetragonal crystal system cs Scanned with the tetragonal + Body-centered tetragonal letice (tl) are CamScanner