In a diamond cubic (dc) structure, calculate
(a) `Z_("eff")`(b) `CN` radius of `C`-atom and (d) `PF`

In an hcp structure, calculate a. Z_("eff) Base area of hexagon c. Height of hexagon d. Volume of unit cell of hexagon e. Packing fraction f. c//a ratio of ideally closed hcp crystal

Iron crystallises in a body centred cubic structure. Calculate the radius of ioun atom if edge length of unit cell is 286 pm.

A compound formed by elements X and Y has a cubic structure in which X atoms are at the corner of the cube and also at the face centers. Y atoms are present at the body centre and at the edge centre of the cube. a. Celculate (i) Z_(eff') (ii) total number of atoms in the cube, and (iii) formula of the compound. b. If all the atoms are removed from one of the body diagonals of the cube, calculate (i) Z_(eff') (ii) total number of atoms in the cube, and (iii) formula of the compound. c. If all the atoms from the diagonals of the one of the face of the cube are removed, calculate (i) Z_(eff') (ii) total number of atoms in the cube, and (iii) formula of the compound. d. If all the atoms are removed from one of the plane passing through the middle of t he cube, calculate (i) Z_(eff') (ii) total number of atoms in the cube, and (iii) formula of the compound. e. If all the atoms are removed from one of the axes passing through one of the face centres of the cube, calculate (i) Z_(eff') (ii) total number of atoms in the cube, and (iii) formula of the compound.

A compound formed by elements X and Y has a cubic structure in which X atoms are at the corner of the cube and also at alternate face entres. Y atoms are present at the body centre and also at the alternate edge centre of the cube. a. Calculate (i) Z_(eff') (ii) total number of atoms in the cube, and (iii) formula of the compound. b. If all the atoms are removed from one of the plane passing through the middle of the cube of the cube which contains atoms both on the edge entre as well as on the face centre, calculate (i) Z_(eff') (ii) total number of atoms in the cube, (iii) formula of the compound. c. If all the atoms are removed from the plane passing through the middle of the cube which contains atoms only on the edge centre but not on face centre, calculate (i) Z_(eff') (ii) total number of atoms in t he cube, and (iii) fomula of the compound. d. If all the atoms are removed from one of the plane passing through the middle of the cube which neither contains atoms on the edge centre nor on the face centre, calculate (i) Z_(eff') (ii) total number of atoms in the cube, and (iii) formula of the compound. e. If all the atoms are removed from on e of the axes passing through the middle of the cube containing face centre atoms, calculate (i) Z_(eff') (ii) total number of atoms in a cube, and (iii) formula of the compound. f. If all the atoms are remove from one of the axes passing through the middle of the cube nor containing face centre atoms, calculate (i) Z_(eff') (ii) total number of atoms in a cube, and (iii) formula of the compound.

A compound formed by elements X and Y has a cubic structure in which X atoms are at the corner of the cube and Y atoms are at the face centres. One atoms X is misssing from the corner. a. Calculate (i). Z_(eff') (ii). total number of the atoms in the cube, and (iii). formula of the compound. b. If alll the atoms are removed from one of the faces of the cube containing atoms at corners, as in (a) above, calculate (i) Z_(eff') (ii) total number of atoms in a cube, and (iii) formula of the compound.

A compound formed by elements X and Y has a cubic structure in which X atoms are at the corners of the cube of and two atoms (Y) are at each body diagonal of the cube. a. Calculate: (i) Z_(eff') (ii) total number of atoms in a cube, and (iii) formula of the compound. b. If all atoms form one body diagonal of the cube except corners are removed, calculate: (i) Z_(eff') (ii) total number of atoms in the cube, and (iii) formula of the compound.

A compound formed by elements X and Y has a cubic structure in which X atoms are at the face centres. a. Calculate: (i) Z_(eff') (ii) total number of atoms in a cube, and (iii) formula of the compound. b. If all the atoms are removed from a single axis passing through the centre of the cube, calculate (i) Z_(eff') (ii) total number of atoms in a cube, and (iii) formula of the compound.

Calculate the value of Z_("eff") for 3d electron of ._(21)Sc .

At 1425^(@)C , Fe crystallises in a body-centred cubic lattice whose edge length is 2.93 Ã… . Assuming the atoms to be packed spheres, calculate : (a) the radius of the spheres, (b) the distance between centres of neighbouring spheres, (c) the number of atoms of Fe per unit lattice and (d) the total volume occupied by an atom of Fe.