Is there an expansion or a contraction as titanium transforms from hep to body-centered Cubic ?The atomic radius of titanium is 145.8 pm in hep but 142.5 pm is bcc.

Is there an expansion or a contraction as titanium transforms from hep

1.	Is there an expansion or a contraction as titanium transforms from hep to body-centered Cubic ?The atomic radius of titanium is 145.8 pm in hep but 142.5 pm is bcc.
Answer» Expansion of `3.2 %` Expansion of `1.016` CONTRACTION of `3.2 %` Contraction of `1.016` SOLUTION :The volume CHANGE is a result of two partically contracting factors: (1) different packing fraction (f), and (2) different RADII `(V("bcc"))/(V("hcp"))=(f("hcp"))/(f("bcc"))xx(V("bcc"))/(V("hcp"))` f(hcp)=0.7404,f(bcc)=0.6802 `(V_("bcc"))/(V("hcp"))/(V_("hcp"))=(0.7404)/(0.6802)xx((142.5)^(3))/((145.8)^(3))=1.016`