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What is the radius of a metal atom if it crystallizes with body-centered lattice having a unit cell edge of 333 Pico meter?(a) 1538.06 pm(b) 769.03 pm(c) 288.38 pm(d) 144.19 pmThe question was asked in a national level competition.My question is based upon Solid State topic in section Solid State of Chemistry – Class 12 |
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Answer» RIGHT option is (d) 144.19 pm Easiest explanation: For body-centered unit cells, the relation between radius of a particle ‘r’ and edge length of unit CELL ‘a’ is given as \(\FRAC{\SQRT{3}}{4}\)a=r On substituting the values we get r = \(\frac{\sqrt{3}}{4}\) x 333 pm = 144.19 pm is the radius of the METAL atom. |
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