Close Packed Structures and Packing Efficiency

IMPORTANT

Close Packed Structures and Packing Efficiency: Overview

This Topic covers sub-topics such as Coordination Number, Octahedral and Tetrahedral Voids, Packing Efficiency in Simple Cubic Lattice, Coordination Number of Simple Cubic Lattice and, Coordination Number of BCC Lattice

Important Questions on Close Packed Structures and Packing Efficiency

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.)

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A metallic element crystallises into lattice having a layering sequence of ABABAB. Any packing of sphere leaves out voids in the lattice. Determine what percentage by volume of this lattice is empty space.

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

HARD
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The distance between an octahedral and a tetrahedral void in pm in FCC lattice would be: 

(Consider edge length is 7 pm)

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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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Column I (Type of crystal) Column II (Location of cations/anions) 
(A) NaCl  (p) Cations-fcc, Anions-all tetrahedral voids 
(B) ZnS (q) Anions-fcc, Cations-all tetrahedral voids
(C) CaF2 (r) Anions-fcc, Cations-all octahedral voids
(D) Na2O (s) Anions-fcc, Cations-alternate tetrahedral voids

 

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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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The coordination number for molybdenum in hexagonal closed packing is 

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The coordination number in one-dimension close packing is 

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The coordination number is equal to _____ in one-dimensional close packing in crystalline solid.

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Describe close packing in one dimension in crystalline solids.

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The lattice generated in three-dimensional closed packing from two-dimensional square close-packed layers is

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Define three-dimensional close packing from two-dimensional square close-packed layers.

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Two dimensions coordination number of a molecule in square close-packed layers is

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Discuss the alignment of spheres in the square closed packing in two dimensions.

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Octahedral voids are formed when the triangular voids in second layer exactly overlap with similar voids in the first layer.

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The coordination number of an atom in a body-centered cubic structure is______

[Assume that the lattice is made up of atoms.]

MEDIUM
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A unit cell of BaCl2 (fluorite structure) is made up of eight Ba2+ ions and four Cl- ions.