In a hypothetical solid C atoms are found to form cubical close packed lattice. Aatoms occupy all tetrahedral vioids& B atoms occupy all octahedral voids. A and B atoms are of appropriate size, so that there is no distortion in CCP lattice of C atoms. Now if a plane as shown in the following figure is cut.

Then the cross section of this plane will look like.

(1)

(2)

(3)

(4)

Concept Questions :-

Voids and radius ratio/coordination number

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In hexagonal close packing of sphere in three dimensions.

(1) In one unit cell there are 12 octahedral voids and all are completely inside the unit cell.

(2) In one unit cell there are six octahedral voids and all are completely inside the unit cell.

(3) In one unit cell there are six octahedral void and of which three are completely inside the unit cell and other three are partially inside the unit cell.

(4) In one unit cell there are 12 tetrahedral voids, all are completely inside the unit cell.

Concept Questions :-

Density/Formula/packing fraction/ Semiconductors

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Diamond has face-centred cubic lattice. There are two atoms at (0,0,0) and $\left(\frac{{\displaystyle 1}}{{\displaystyle 4}},\frac{{\displaystyle 1}}{{\displaystyle 4}},\frac{{\displaystyle 1}}{{\displaystyle 4}}\right)$coordinates.The ratioof the carbon-carbon bond distance to the edge of the unit cell is

(1) $\sqrt{\frac{3}{16}}$

(2) 4

(3) $\frac{1}{4}$

(4) $\frac{1}{\sqrt{2}}$

Concept Questions :-

Density/Formula/packing fraction/ Semiconductors

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Spinel is an important class of oxides consisting of two types of metal ions with the oxide ions arranged inCCP pattern. The normal spinel has 1/ 8 of the tetrahedral holes occupied by one type of metal ion and 1/2 of the octahedral holes occupied by another type of metal ion. Such a spinel is formed by Zn^{2}+, A1^{3}* and 0^{2-}with Zn^{2}+ in the tetrahedral holes. If CCP arrangement of oxide ions remains undistorted in the presence of all the cations, formula of spinel and fraction of the packing fraction of crystal are respectively :

(1) ZnAl_{2}O_{4} , 77%

(2) ZnAl_{2}O_{4}, 74%

(3) Zn_{2}AlO_{4}, 74%

(4) Zn_{3}Al_{2}O_{6,}74%

Concept Questions :-

Introduction and Type of Crystal System

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What is the maximum number of layers of atoms in close packed planes that will lie within two imaginaryparallel planes having a distance between them of 13$\sqrt{\frac{2}{3}}$ R (where R is the radius of atom) in the coppercrystal (FCC) ? Consider the atoms to be within the parallel planes if their centresare on or within the two parallel planes.

(1) 5

(2) 6

(3) 7

(4) 8

Concept Questions :-

Introduction and Type of Crystal System

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A transition Metal Mcan exist in two oxidation states +2 and +3.It forms an oxide whose experimentalformula is given by MxO where x < 1. Then the ratio of metal ions in +3 state to those in +2 state in oxide is given by :

(1) $\frac{1-x}{1+x}$

(2) 1 + 2X

(3) 1 + $\frac{x}{2}$

(4) $\frac{2(x-1)}{3x-2}$

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Analysis show that nickel oxide consist of nickel ion with 96% ions having d^{8} configuration and 4% having d^{7 }configuration. Which amongst the following best represents the formula of the oxide.

(1) Ni_{1.02}O_{1.00}

(2) Ni_{0.96}O_{1.00}

(3) Ni_{0.96}O_{0.98}

(4) Ni_{0.98}O_{1.00}

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PCI_{5} molecule has

(1) three fold axis of symmetry

(2) two fold axis of symmetry

(3) both

(4) none of these

Concept Questions :-

Introduction and Type of Crystal System

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Which of the following statements is correct about the conduction of electricity in pure crystal of silicon atroom temperature?

(1) The conduction is due to electrons present in fully occupied lowest energy states.

(2) The conduction is due to only some electrons capable of leaving the bonds at room temperature.

(3) The conduction is only due to the holes formed from the release of electrons.

(4) The conduction is due to the movement of both the electrons released and holes formed.

Concept Questions :-

Density/Formula/packing fraction/ Semiconductors

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Calculate the Miller indices of crystal planes which cut through the crystal axes at (i) (2*a*, 3*b*, *c*), (ii) (∞, 2*b*, *c* )

(1) 3, 2, 6 and 0, 1, 2

(2) 4, 2, 6 and 0, 2, 1

(3) 6, 2, 3 and 0, 0, 1

(4) 7, 2, 3 and 1, 1, 1

Concept Questions :-

Introduction and Type of Crystal System

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