Unit cells, two and three dimensional lattices

IMPORTANT

Unit cells, two and three dimensional lattices: Overview

This Topic covers sub-topics such as Coordination Number, Bravais Lattices, Crystal Lattice, Unit Cell, Tetragonal Crystal System, Monoclinic Crystal System, Hexagonal Crystal System, Rhombohedral Crystal System and, Cubic Crystal System

Important Questions on Unit cells, two and three dimensional lattices

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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.)

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Silver crystallises in a fcc lattice. The edge length of its unit cell is   4.077× 10 8 cm  and its density is 10.5gcm3. The atomic mass of silver on the basis of this would be: (NA=6.02×1023 mol1)

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The figures given below show the location of atoms in three crystallographic planes in a FCC lattice.

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The planes in the unit cell have been highlighted in the diagram below choose the correct option.

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Chromium metal crystallizes with a body centred cubic lattice. The length of the unit cell edge is found to be 287 pm. What would be the density of chromium in g/c m 3 ?

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Sodium metal crystallises in a body centred cubic lattice with the cell edge,  a=4.29Å. What is the radius of a sodium atom?

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The edge length of unit cell of a metal having molecular weight  75g/mol is  5Å which crystallizes in cubic lattice. If the density is  2g/cc  then the radius of metal atom  ( N A =6× 10 23 )  will be (in pm):

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In face centred cubic (FCC) crystal lattice, edge length is 400 pm. The diameter of greatest sphere which can be fit into the interstitial void without distortion of lattice is

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The density of mercury is 13.6 g ml-1. The approximate diameter of an atom of mercury assuming that each atom is occupying a cube of edge length equal to the diameter of the mercury atom is

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A substance AxBy crystallizes in a face centred cubic (FCC) lattice in which atoms A occupy each corner of the cube and atoms B occupy face centres of the cube composition of the substance AxBy is

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In a Solid AB having the NaCl type structure, A atoms occupy the corners of the cubic unit cell. If all the face-centred atoms along one of the axes are removed, then the resultant stoichiometry of the solid is:

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

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

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In a compound, atoms of an element Y form CCP lattice and those of element X occupies 23rd of the tetrahedral voids. The formula of the compound can be

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

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Define centred unit cell. What are the types of centred unit cells?

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The number of atoms per unit cell of body centred cube is:

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The relationship between edge length and the radius of the simple cubic unit cell is _____.

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What is coordination number? Give the coordination number of the simple cubic lattice.

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Calculate the packing efficiency in case of metal crystal for simple cubic unit cell.

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Explain how the particles are arranged in the simple cubic lattice.