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Voids

Three spheres...

Question

Three spheres of the first layer and three of the second layer enclose a site at the centre in a closest packing arrangement, this site is called:

A

interstitial void

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B

tetrahedral void

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C

octahedral void

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D

cubic coid

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Solution

The correct option is B octahedral void

The triangular voids in the first layer is overlapped by the triangular voids in the second layer.The interstitial void, formed by combination of two triangular voids of the first and second layer is called octahedral void because this is enclosed between six spheres centres of which occupy corners of a regular octahedron.
Hence option C is correct.

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Q. Which of the following interstitial site is formed when the three closed packed spheres of one layer is put over three closed packed spheres of the second layer, their positions being inverted with respect to each other?

Q. In hexagonal system of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell arc regular hexagons and three atoms are sandwiched between them. A space-filling model of this structure, called hexagonal close packed (hcp), is constituted of a sphere on a flat surface surrounded in the same plane by six identical spheres as closely as possible. Three spheres are then placed over the first layer so that they touch each other and represent the second layer. Each one of these three spheres touches three spheres of the bottom layer. Finally, the second layer is covered with a third layer that is identical to the bottom layer in relative position. Assume radius of every sphere to be 'r'.

The empty space in this hcp unit cell is:

Q. In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling model of this structure, called hexagonal close-packed (HCP), is constituted of a sphere on a flat surface surrounded in the same plane by six identical spheres as closely as possible. Three spheres are then placed over the first layer so that they touch each other and represent the second layer. Each one of these three spheres touches three spheres of the bottom layer. Finally, the second layer is covered with third layer that is identical to the bottom layer in relative position. Assume radius of every sphere to be 'r'.

The empty space in this HCP unit cell is?

Which of the following statement is not true about the hexagonal close packing ?

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(b) It has 74% packing efficiency

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(d) In this arrangement spheres of the fourth layer are exactly aligned with those of the first layer

Q. Stacking of a second layer of sphere over the first layer of 2-D hexagonal close packing will result in formation of:

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