Calculations involving Unit Cell Dimensions
Calculations involving Unit Cell Dimensions: Overview
This topic covers concepts, such as, Coordination Number of FCC or CCP Lattice, Relation between Edge Length and Radius of a Constituting Atom for a Simple Cubic Structure & Effect of Temperature and Pressure on Coordination Number etc.
Important Questions on Calculations involving Unit Cell Dimensions
Silver crystallises with face-centred cubic unit cells and each side of the unit cell has a length of . Determine the radius of an atom of silver. (Assume that each face atom is touching the four corner atoms.)

The coordination number of a metal crystallizing in a hexagonal close-packed structure is:

has bcc structure with edge length . The shortest inter ionic distance in between and is:

If the length of the body diagonal of a unit cell is , the distance between two octahedral voids in the cell in is

The number of nearest neighbours in a unit cell is

What is the radius of sodium atom if it crystallizes in structure with the cell edge of ?

In a simple cubic lattice, the co-ordination number is :

Sodium metal crystallizes in a body centred cubic lattice with the cell edge . The radius of sodium atom is:

An ionic crystal lattice has radius ratio of , its coordination number is:

The closest distance between the two atoms in a lattice, in terms of edge length is

A metal crystallizes in BCC lattice. The fraction of edge length not covered by atom is

An element has a body centered cubic (bcc) structure with a cell edge of . The atomic radius is

In calcium fluoride, having the fluorite structure, the coordination numbers for calcium ion and fluoride ion are

The radius of metal atom can be expressed in terms of the length of a unit cell is:

Niobium is found to crystallise with bcc structure and found to have density of . Determine the atomic radius of niobium if its atomic mass is .

The co-ordination number of eight for cation is found in :

In which of the following structures, the anion has maximum coordination number:

Explain:
Coordination number

The radius of the largest sphere which fits properly at the centre of the edge of a body-centred cubic unit cell is: (Edge length is represented by )

Sodium metal crystallizes in a body-centred cubic lattice with a unit cell edge of The radius of the sodium atom is approximate
