Diamond has face-centred cubic lattice. There are two atoms at (0,0,0) and $\left(\frac{1}{4},\frac{1}{4},\frac{1}{4}\right)$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) $\frac{1}{\sqrt{2}}$

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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 Zn2+, A13* and 02-with Zn2+ 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) ZnAl2O4 , 77%

(2) ZnAl2O4, 74%

(3) Zn2AlO4, 74%

(4) Zn3Al2O6,74%

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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

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

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Analysis show that nickel oxide consist of nickel ion with 96% ions having d8 configuration and 4% having d7 configuration. Which amongst the following best represents the formula of the oxide.

(1) Ni1.02O1.00

(2) Ni0.96O1.00

(3) Ni0.96O0.98

(4) Ni0.98O1.00

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PCI5 molecule has

(1) three fold axis of symmetry

(2) two fold axis of symmetry

(3) both

(4) none of these

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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.

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Density/Formula/packing fraction/ Semiconductors
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Calculate the Miller indices of crystal planes which cut through the crystal axes at (i) (2a, 3b, c), (ii) (∞, 2b, 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

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Introduction and Type of Crystal System
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Caculate the distance between 111 planes in a crystal of Ca. Repeat the calculation for the 222 planes. (a = 0.556nm)

(1) 016.1 nm

(2) 0.161 nm

(3) 0.610 nm

(4) None of the above

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Density/Formula/packing fraction/ Semiconductors
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A metallic element crystallizes into a lattice containing a sequence of layers of ABABAB ............ Any packing of spheres leaves out voids in the lattice. The percentage by volume of empty space of this is

(1) 26%

(2) 21%

(3) 18%

(4) 16 %

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Introduction and Type of Crystal System
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