15.10 How many (a) nearest neighbours, (b) next-nearest neighbours are there in a body-centred cubic structure? What are their distances if the side of the cube is 600 nm?

3) Draw two different projections of a monoclinic unit cell with a = 3 Å, b = 4 Å, c = 5 Å, B = 119⁰. (Don't forget to indicate the basis vectors.) One atom is located at (0.2, 0.3, 0.4), another one at (0.2, 0.7, 0.4). Determine the interatomic distances < 2.5 Å.

planar density

1. For a two dimensional lattice with a₁ = a, (a) what is the area of a primitive cell? (b) show that the lattice is a rectangular lattice? a F/3 π (c) draw the Wigner-Seitz cell of this lattice and show that the area of the Wigner- Seitz cell is the same as in (a).

How will you distinguish between the following pairs of terms:(i) Tetrahedral and octahedral voids(ii) Crystal lattice and unit cell

2.4 2.5 The unit cell for Platinum (Pt) has atoms which are located at each of the corners and at the centre of all the unit cell faces. The density and atomic weight of Pt are 21.45 g/cm³ and 195.08 g/mol, respectively. Given that the Avogadro's Number is 6.023 x 1023 atoms/mol, (a) sketch the atomic arrangement on the (010) plane of the unit cell. (b) determine the lattice constant, a of Pt atom. (c) calculate the atomic radius of Pt atom. A sample of BCC iron (Fe) was placed in an X-ray diffractometer using incoming X-rays with a wavelength, λ = 0.1541 nm. Diffraction from the {110} planes was obtained at 20 = 44.704°. Assuming that the order of reflection is 1, calculate: (a) the interplanar spacing of the planes (b) the value for the lattice constant, a for BCC Fe

Please don't provide handwritten solution ....

A unit cell has a=5Å, b=5Å, c-8Å, a=90°, B-90° ad y=90°. What will be the Bravais lattice for this unit cell? Mention the following for each of the given crystallographic cubic planes. (a) Intercepts in the x, y and z coordinates (b) Reciprocals (c) Final index of the crystal plane 1/2

The unit cells of SbCI3 are orthorhombic with dimensions a= 812 pm, b = 947 pm, and c = 637 pm. Calculate the spacing of (a) the {321} planes, {b} the {642} planes.

Two patterns of packing for two different circles of the samesize are shown here. For each structure (a) draw the twodimensionalunit cell; (b) determine the angle between thelattice vectors, g, and determine whether the lattice vectorsare of the same length or of different lengths; and (c) determinethe type of two-dimensional lattice