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Chromium metal crytallises with a b.c.c lattice . The length of unit cell edge is 287pm . What is the atomic radius?
imagine the main body diagonal of the cube - there will b 3 atoms with their centres on the body diagonal
one atom(at centre) completely lies in the cube (contributing =2*r) and other 2 lie half inside the cube(contributing r each)
so
4*r = a√3 = length of body diagonal
4*r = 287√3 pm
r = (287√3)/4 pm
r = 124.27 pm
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