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Voids

The interstit...

Question

The interstitial hole is called tetrahedral because :

A

it is formed by four spheres

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B

partly same and party different

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C

it is formed by four spheres, the centres of which from a regular tetrahedron

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D

none of the above

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Solution

The correct option is D it is formed by four spheres, the centres of which from a regular tetrahedron
The tetrahedral hole can be visualized as three spheres in a plane and one on top of it with the space at the centre having the shape of a regular tetrahedron.

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Q. Interstitial hole is called tetrahedral because:

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(c) The particle which is formed by the loss or gain of electrons by an atom is called .....................
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Q. A tetrahedron is a three dimensional figure bounded by four non-coplanar triangular planes. So, a tetrahedron has four non-coplanar points as its vertices.
Let a tetrahedron has four points A, B, C, D whose co-ordinates are

(x_{i}, y_{i}, z_{i})

, i=1, 2, 3, 4 respectively in a rectangular three dimensional space. The co-ordinates of its centroid are given by

\frac{\sum_{i = 1}^{4} x_{i}}{4}, \frac{\sum_{i = 1}^{4} y_{i}}{4}, \frac{\sum_{i = 1}^{4} z_{i}}{4}

. The circumcenter of the tetrahedron is the center of a sphere passing through its vertices. So this point is equidistant from each of vertices of tetrahedron.
Let tetrahedron has three of its vertices represented by the points A (6, - 5, -1), B(- 4, 1, 3) & C(2, -4, 18) & its centroid lies at the point (1, -2, 5).
On the basis of above information answer the following questions.The co-ordinate of centre of the sphere circumscribe the tetrahedron is

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