WorksheetsMiller indices
Total questions: 19
Worksheet time: 11mins
In a cubic crystal, a given plane intercepts the axes at 3a, 3b & c. The Miller indices of the plane are ________
( 3 3 1 )
( 1 3 3 )
( 1 1 3 )
( 3 1 1 )
In a crystal, a given plane is parallel to the 'a' axis and 'b' axis and intercepts the 'c' aces at c. The Miller indices of the plane are
( 0 0 1 )
( 1 1 0 )
( 1 1 1)
Intercepts of a plane in crystal is given by 1, 1/2, 1/3 in a simple cubic unit cell, Miller indices are
(1 3 2)
(2 6 1)
(1 2 3)
(3 6 1)
The red shaded plane is:
(100)
(1,0,0)
<100>
{100}
Identify the given plane.
(011)
(101)
(001)
(111)
If a Miller index is zero, the plane is
parallel to that axis
perpendicular to axis
equal to axis
zero
Interplanar distance of a family of planes with miller indices (hkl) in simple cubic lattice is
d=h2+k2+l2a
d=ah2+k2+l2
h2+k2+l2
------------- group of three numbers that indicates the orientation of a plane or set of parallel planes of atoms in a crystal
Crystal structures
Miller indices
Bravais lattices
Motif
The lattice constant of a unit cell of a cube is 3.28 Angstrom. The interplanar spacing of ( 2 0 1 ) plane is ------ Angstrom.
1.093
1.467
1.641
0.986
The inter planar spacing between ( 1 2 2 ) planes found to be 2.35 Angstrom. The lattice constant in case of simple cubic is -------- Angstrom.
0.261
0.783
7.05
21.15
Lattice constants of an orthorhombic lattice is 2.5 , 3.0 and 3.5 Angstrom , what is interplanar spacing between (1 1 1) planes up to 2 decimal place in Angstrom.
(a)
Notation (h,k,l) represent a_______
Lattice Plane
A point
Lattice Direction/vector
Family of plane
{ h k l} represent a _______ and (h k l ) represent a ______
plane, family of direction
set of equivalent planes , Family of planes,
Direction , family of planes
point , plane
Miller indices of a vector joining (0 ,0,0) and (0,0,1) is _____
(0 0 1)
[ 0 0 1]
{0 0 1}
[0,0,1]
Negative miller indices are written by putting a bar over the index number.
True
False
Plane (1 0 0) , (0 1 0) , (0 0 1) , ( -1 0 0), ( 0 -1 0) , ( 0 0 -1 ) are equivalent in simple cubic lattice hence belongs to _________ represented by _______.
a set of plane, ( 1 0 0)
a set of direction , { 1 0 0}
a set of equivalent planes , {1 0 0}
a set of direction , [1 0 0]
The density of lattice points is ________ on a plane with ______ miller indices.
higher , lower
lower , higher
higher , higher
lower, Lower
Distance between the two adjacent planes in a set of parallel planes is ______ for______ miller indices.
larger , lower
lower, lower
lower, larger
larger, larger
Miller indices of all parallel plane is same and therefore (h k l) represent a family of planes instead of only a single plane.
False
True
