Short Answer TypeAluminum crystallizes in an fcc structure. Atomic radius of the metal is 125 pm. What is the length of the side of the unit cell of the metal?
Copper crystallises with face centred cubic unit cell. If the radius of a copper atom is 127.8 pm, calculate the density of the copper metal.
(Atomic mass of Cu = 63.55 u and Avogadro’s number NA = 6.02 x 1023 mol-1)
Iron has a body centred cubic unit cell with the cell dimension of 286.65 pm. The density of iron is 7.87 g cm-3. Use this information to calculate Avogadro’s number. (Atomic mass of Fe = 56.0 u)
What type of magnetism is shown by a substance if magnetic moments of domains are arranged in same direction?
An element crystallizes in a f.c.c. lattice with cell edge of 250 pm. Calculate the density if 300 g of this element contain 2 × 1024 atoms.
An element crystallizes in b.c.c lattice with cell edge of 500 pm. The density of the element is 7.5g cm-3. How many atoms are present in 300 g of the element ?
Calculate the packing efficiency of a metal crystal for a simple cubic lattice.
In a simple cubic lattice, the particles are located only at the corners of the cube and touch each other along the edge.
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 = 
Explain how you can determine the atomic mass of an unknown metal if you know its mass density and the dimensions of a unit cell of its crystal.
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