Question

Titanium (Ti) crystallizes in fcc lattice. It reacts with C or H intersititally and these elements occupy the voids of host lattice (i.e., Ti) radius that can be occupies in TVs without Casing strain in the host lattice.
Calculate the formula of titanium hydride and titanium carbide.
A. TiH,TiC
B. `TiH_(2)` TiC
C. Ti H , Ti` C_(2)`
D. Ti `H_(2) Ti C_(2)`

Answer 1

Correct Answer - A
For fcc lattice, `Z_(ff)=4Ti` atoms/unit cell
Number of TVs=Number of H-atoms=8/unit cell
(i) Formula of titanium hydride `=Ti_(4)H_(8)rArTiH_(2)`
(ii) Number of Ovs=Number of C-atom=4/unit cell
Formula of titanium carbide`=Ti_(4)C_(4)rArrTiC`