Q.1. A cubic unit cell is made up of X and Y elements. If X are present on the corners of the cube and Y are present on centres of faces of cube, then find the formula of the compound.
Q.2. A cubic solid is made up of two elements X and Y. Atoms Y are
present at the corners of the cube and atoms X at the body centre. What is the
formula of the compound?
Q.3.
A
compound of X and Y crystallizes in cubic structure in which Y atoms are at
corners and X atoms are at the alternate faces (ends) of the cube. Find the
formula of the compound.
Q.4. A unit cell consists of a cube in which there are A atoms at the
corners and B atoms at the face centres and A atoms are missing from 2 corners
in each unit cell. What is the simplest formula of the compound?
Q.5. If three elements P, Q and R crystallise in a cubic solid lattice with P atoms at the corners, Q atoms at the cube centres and R atoms at the centre of the edges, then write the formula of the compound.
Q.6. In a face centred cubic arrangement of A and B atoms, A atoms occupy the corners and B atoms occupy the face centres of the unit cell. If one of the atoms is missing from the corner in each unit cell, what is the simplest formula of the compound?
Q.7. Tungsten crystallizes in body centred cubic lattice. Calculate the number of unit cells in 1.5 g of tungsten (Atomic mass of tungsten = 184 u).
Q.8. Calculate the number of unit cells in 8.1 g of aluminium if it crystallizes in a face-centred cubic (fcc) structure. (Atomic mass of Al = 27 g mol-1).
Q.9. Calculate the atomic radius of elementary silver which crystallises in face centred cubic lattice with unit cell edge length 4.086 × 10 -10 m.
Q.10. Tungsten crystallizes in body centred cubic unit cell. If edge of the unit cell is 316.5 pm, what is the radius of the tungsten atom?
Q.11. Sodium crystallizes in a bcc unit cell. Calculate the approximate number of unit cells in 9.2 g of sodium (Atomic mass of Na = 23 u).
Q.12. Aluminium crystallizes in a fcc structure. Atomic radius of the metal is 125 pm. Calculate the edge length of the unit cell of the metal?
Q.13. The length of the unit cell edge of a body centred cubic metal crystal is 352 pm. Calculate the radius of an atom of the crystal.
Q.14. Gold (atomic radius = 0.144 nm) crystallizes in face centred unit cell. What is the length of the side of the cell?