Calculations involving Unit Cell Dimensions

IMPORTANT

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

MEDIUM
IMPORTANT

Silver crystallises with face-centred cubic unit cells and each side of the unit cell has a length of 409 pm. Determine the radius of an atom of silver. (Assume that each face atom is touching the four corner atoms.)

EASY
IMPORTANT

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

EASY
IMPORTANT

CsBr has bcc structure with edge length 4.3 Å . The shortest inter ionic distance in between Cs+ and Br is:

HARD
IMPORTANT

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

EASY
IMPORTANT

The number of nearest neighbours in a BCC unit cell is

HARD
IMPORTANT

What is the radius of sodium atom if it crystallizes in bcc structure with the cell edge of 400 pm ?

EASY
IMPORTANT

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

EASY
IMPORTANT

Sodium metal crystallizes in a body centred cubic lattice with the cell edge a=4.29 . The radius of sodium atom is:

EASY
IMPORTANT

An ionic crystal lattice has r+r- radius ratio of 0.320, its coordination number is:

MEDIUM
IMPORTANT

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

HARD
IMPORTANT

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

MEDIUM
IMPORTANT

An element has a body centered cubic (bcc) structure with a cell edge of 288 pm. The atomic radius is

EASY
IMPORTANT

In calcium fluoride, having the fluorite structure, the coordination numbers for calcium ion (Ca2+) and fluoride ion (F-) are

MEDIUM
IMPORTANT

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

HARD
IMPORTANT

Niobium is found to crystallise with bcc structure and found to have density of 8.55 g cm-3.  Determine the atomic radius of niobium if its atomic mass is 93 (14.29 nm).

EASY
IMPORTANT

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

HARD
IMPORTANT

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

EASY
IMPORTANT

Explain:

Coordination number

HARD
IMPORTANT

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 'a')

MEDIUM
IMPORTANT

Sodium metal crystallizes in a body-centred cubic lattice with a unit cell edge of 4.29 A. The radius of the sodium atom is approximate