Unit Cells, Two and Three Dimensional Lattices

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Unit Cells, Two and Three Dimensional Lattices: Overview

This topic covers concepts, such as, Crystal Lattice,Lattice Points,Unit Cell etc.

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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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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Potassium metal forms body-centered cubic crystals. What is the atomic radius of K and the volume occupied by the atoms in the unit cell if the side length of the unit cell of crystal is 0.542 nm?

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What are Bravais lattices ?

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What is fcc?

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What fraction of one edge centred octahedral void lies in one unit cell of fcc?

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A compound is formed by two elements A and B. The element B forms cubic close packed structure and atoms of A occupy 13 of tetrahedral voids. If the formula of the compound is AxBy, then the value of x+y is in option

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Sodium metal crystallises in a body centred cubic lattice with unit cell edge length of 4 Å. The radius of sodium atom is ___×10-1Å. (Nearest integer)

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Number of crystal systems from the following where body centred unit cell can be found, is _____.

Cubic, tetragonal, orthorhombic, hexagonal, rhombohedral, monoclinic, triclinic

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The correct relationships between unit cell edge length ‘a’ and radius of sphere ‘r’ for face-centred and body-centred cubic structures respectively are:

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A compound is formed by two elements X and Y. The element Y forms cubic close packed arrangement and those of element X occupy one third of the tetrahedral voids. What is the formula of the compound?