Fundamentals of crystallography - Classification and Structure of Materials - Engineering Sciences Previous Year Questions

1

2007 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2007

Second peak in the powder X-ray diffraction pattern of a material with FCC crystal structure appears at a Bragg angle of 23.21°. If wavelength of Cu-Kα radiation used in the experiment is 0.154 nm, lattice parameter (in nm) of the material would be

A

0.391

B

0.338

C

0.276

D

0.437

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2

2007 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2007

Which of the following directions lies in (1 $\bar{1}$ 1) plane?

A

[211]

B

[ $\bar{2}$1]

C

[121]

D

[2 1 $\bar{1}$]

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3

2007 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2007

Theoretical density of Mo (in kg.m^-3) is

A

20400

B

2550

C

10200

D

5100

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4

2008 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2008

Which of the following is NOT a Bravais lattice?

A

Body-centered tetragonal

B

Face-centered tetragonal

C

Body-centered orthorhombic

D

Face-centered orthorhombic

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5

2008 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2008

Which of the following is the direction common to \((\overline{1} 11)\) and \((111)\) planes?

A

[011]

B

[21 \overline{1}]

C

[0 \overline{1} 1]

D

[001]

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6

2008 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2008

The Bragg angle (θ_B) for the (111) peak occurs at

A

18.55°

B

10.56°

C

15.02°

D

33.37°

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7

2009 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2009

If the spacing between two consecutive (110) planes in a BCC material is 0.203 nm, the lattice parameter and radius of the atom of the said material will be

A

0.242 nm and 0.110 nm

B

0.242 nm and 0.120 nm

C

0.287 nm and 0.134 nm

D

0.287 nm and 0.124 nm

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8

2011 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2011

The first peak in the powder X-ray diffraction pattern of an FCC metal appears at a Bragg angle of 19.2°. The wavelength of Cu-K_α radiation used is 0.154 nm.

The lattice parameter of the metal (in nm) is

A

0.4505

B

0.4055

C

0.3505

D

0.3055

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9

2013 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2013

A metal with HCP crystal structure has lattice constants a = 0.30 nm and c = 0.56 nm. Determine the volume of the unit cell of this metal, in nm³.

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10

2014 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2014

The materials belonging to which one of the following crystal classes would be both piezoelectric and ferroelectric

A

222

B

4mm

C

1̄

D

2/m

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11

2014 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2014

The expected diffraction angle (in degrees) for the first order reflection from the (113) set of planes for face centered cubic Pt (lattice parameter = 0.392 nm) using monochromatic radiation of wavelength 0.1542 nm is __________.

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12

2015 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2015

When the atoms in a solid are separated by their equilibrium distance,

A

the potential energy of the solid is lowest

B

the force of attraction between the atoms is maximum

C

the force of repulsion between the atoms is zero

D

the potential energy of the solid is zero

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13

2016 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2016

Which of the following rotational symmetry is forbidden in a perfectly periodic 3-dimensional lattice?

A

1-fold

B

3-fold

C

5-fold

D

6-fold

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14

2016 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2016

The angle between [110] and [111] directions in the cubic system is __________ degrees.

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15

2017 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2017

The Miller indices of the first three Bragg peaks in the X-ray diffraction pattern obtained from a polycrystalline iron sample at room temperature are

A

(111), (200), (220)

B

(100), (110), (111)

C

(100), (110), (200)

D

(110), (200), (220)

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16

2017 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2017

In an ionic solid the cation and the anion have ionic radii as 0.8 Å and 1.6 Å respectively. The maximum coordination number of the cation in the structure will be

A

3

B

4

C

6

D

8

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17

2018 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2018

Minimum symmetry that a cubic crystal must possess is

A

four 3-fold rotation axes.

B

three 4-fold rotation axes.

C

three orthogonal mirror planes.

D

centre of symmetry.

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18

2018 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2018

If the cation (C) to anion (A) radius ratio, \(r_C/r_A\) is 0.6, then the coordination number (i.e., number of A ions surrounding a C ion) is likely to be __________.

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19

2018 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2018

X-ray diffraction pattern is obtained from FCC polycrystalline aluminium (lattice parameter = 0.405 nm) using Cr-Kα radiation of wavelength 0.229 nm. The maximum number of peaks that can be observed in the pattern is ______.

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20

2018 · Engineering Sciences · Classification and Structure of Materials · Fundamentals of crystallography

Engineering Sciences (XE) 2018

The planar atomic density in the (110) plane of a BCC iron crystal is ______ nm⁻² (give answer up to 2 decimal places)
(Given: lattice parameter of iron is 0.287 nm)

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