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प्रश्न
Calculate the efficiency of packing in case of a metal crystal for simple cubic
उत्तर
Simple cubic - In a simple cubic lattice, the particles are located only at the corners of the cube and touch each other along the edge.
Let the edge length of the cube be ‘a’ and the radius of each particle be r.
So, we can write:
a = 2r
Now, volume of the cubic unit cell = a3
= (2r)3
= 8r3
We know that the number of particles per unit cell is 1.
Therefore, volume of the occupied unit cell = `4/3pir^3`
Hence, packing efficiency = `"Volume of one particle"/"Volume of cubic unit cell"xx100%`
= `(4/3pir^3)/8r^3xx100%`
= `1/6pixx100%`
=`1/6xx22/7xx100%`
= 52.4%
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संबंधित प्रश्न
Packing efficiency for simple cubic structure is ____________.
The correct order of the packing efficiency in different types of unit cells is ______.
The edge lengths of the unit cells in terms of the radius of spheres constituting fcc, bcc and simple cubic unit cell are respectively ______.
Assertion: The total number of atoms present in a simple cubic unit cell is one.
Reason: Simple cubic unit cell has atoms at its corners, each of which is shared between eight adjacent unit cells.
Copper crystallises in a face-centred cubic lattice with unit edge length of 361 pm. What in the radius of copper atom in pm?
The edge length of fee type unit cell of copper having an atomic radius of 127.6 pm is equal to ______
