English
Karnataka Board PUCPUC Science 2nd PUC Class 12

How many lattice points are there in one unit cell of the following lattice? Face-centred cubic - Chemistry

Advertisements
Advertisements

Question

How many lattice points are there in one unit cell of the following lattice?

Face-centred cubic

Numerical
Advertisements

Solution

Lattice points in an fcc lattice = 8 corners + 6 face centres 

= 14

No. of particles per unit cell = `(8 xx 1/8) + (6 xx 1/2)`

No. of particles per unit cell = 4

shaalaa.com
Close Packed Structures of Solids
  Is there an error in this question or solution?
Chapter 1: Solid State - 'NCERT TEXT-BOOK' Exercises [Page 53]

APPEARS IN

Nootan Chemistry Part 1 and 2 [English] Class 12 ISC
Chapter 1 Solid State
'NCERT TEXT-BOOK' Exercises | Q 1.8 (i) | Page 53

RELATED QUESTIONS

A compound forms hexagonal close-packed structure. What is the total number of voids in 0.5 mol of it? How many of these are tetrahedral voids?


Aluminium crystallises in a cubic close-packed structure. Its metallic radius is 125 pm.

  1. What is the length of the side of the unit cell?
  2. How many unit cells are there in 1.00 cm3 of aluminium?

Hexagonal close packed arrangement of ions is described as ____________.


The arrangement ABC ABC.... is referred to as ____________.


Match the type of packing given in Column I with the items given in Column II.

Column I Column II
(i) Square close packing
in two dimensions 
(a) Triangular voids
(ii) Hexagonal close packing
in two dimensions
(b) Pattern of spheres is
repeated in every fourth layer
(iii) Hexagonal close packing
in three dimensions
(c) Coordination number 4
(iv) Cubic close packing
in three dimensions
(d) Pattern of sphere is
repeated in alternate layers

In the SF4 molecule, there are:


The crystal system of a compound with unit cell dimensions a = 0.387, b = 0.387 and c = 0.504 nm and α = β = 90° and ϒ = 120° is


Total no. of voids in 0.5 mole of a compound forming hexagonal closed packed structure are:-


Co-ordination number of sodium ion Na+ in Nacl is:-


Which of the following is frenkal effect.


The number of tetrahedral and octahedral voids in a CCP array of 100 atoms are respectively:


The right options for the number of tetrahedral and octahedral voids in the hexagonal primitive unit cells is ______.


The right option for the number of tetrahedral and octahedral voids in hexagonal primitive unit cell is ______.


Element 'B' forms ccp structures and A occupies half of the octahedral voids, while oxygen atoms occupy all the tetrahedral voids. The structure of bimetallic oxide is ______.


The empirical formula for a compound with a cubic close packed arrangement of anions and with cations occupying all the octahedral sites in AxB. The value of x is ______. (Integer answer)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×