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Which of the following crystal systems h...

Which of the following crystal systems has unit cell with `alpha=beta=90^(@),gamma=120^(@)` (where `alpha, betaandgamma` are interfacial angles)-

A

orthorhombic

B

triclinic

C

trigonal

D

hexagonal

Text Solution

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The correct Answer is:
D
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The regular three dimensional arrangement of points in a crystal is known as crystal lattice and the smallest repeating pattern in the lattice is called unit cell. The unit cells are characterised by the edge lengths a, b, c and the angles between them alpha, beta and gamma respectively. Based on this, there are seven crystal systems. In a cubic unit cell: a=b=c and alpha = beta=gamma=90^(@) The number of points in simple, body centred and face centred cubic cells are 1,2 and 4 respectively In both the hcp and ccp of spheres, the number of tetrahedral voids per sphere is two while the octahedral voids is one. The C.N of cation occuppying an octahedral vois is:

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The regular three dimensional arrangement of points in a crystal is known as crystal lattice and the smallest repeating pattern in the lattice is called unit cell. The unit cells are characterised by the edge lengths a, b, c and the angles between them alpha, beta and gamma respectively. Based on this, there are seven crystal systems. In a cubic unit cell: a=b=c and alpha = beta=gamma=90^(@) The number of points in simple, body centred and face centred cubic cells are 1,2 and 4 respectively In both the hcp and ccp of spheres, the number of tetrahedral voids per sphere is two while the octahedral voids is one. A double triangular void surrounded by three spheres above and three spheres below is called

Let x-ysin alpha-zsin beta=0 , xsin alpha+zsin gamma-y=0 and xsin beta+ysin gamma-z=0 be the equations of the planes such that alpha+beta+gamma=pi//2 (where alpha,beta and gamma!=0)dot Then show that there is a common line of intersection of the three given planes.

In R^(3) , consider the planes P_(1):y=0 and P_(2),x+z=1. Let P_(3) be a plane, different from P_(1) and P_(2) which passes through the intersection of P_(1) and P_(2) , If the distance of the point (0,1,0) from P_(3) is 1 and the distance of a point (alpha,beta,gamma) from P_(3) is 2, then which of the following relation(s) is/are true? (a) 2alpha + beta + 2gamma +2 = 0 (b) 2alpha -beta + 2gamma +4=0 (c) 2alpha + beta - 2gamma- 10 =0 (d) 2alpha- beta+ 2gamma-8=0

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