MSE 503 EXAM 2 QUESTIONS AND VERIFIED
ANSWERS
Solid-state physics focuses on studying __ and __ in crystals. - Answers - crystals;
electrons
A crystal is a __ periodic __ of __. - Answers - 3-dimensional; array; atoms
In the early 1900s, Laue developed a theory of ___ of x-rays by a periodic __ of __. -
Answers - diffraction; array; atoms
The experimental observation of __ by crystals proved that crystals are composed of a
periodic __ of __. - Answers - X-ray diffraction; array; attoms
An ideal crystal is composed of the ___ repetition of __ structural units. - Answers -
infinite; identical
The simplest crystals have structural repeat-units of __. - Answers - a single atom
Examples of materials that form the simplest crystals are __, __ and __. - Answers -
copper; silver; iron
Inorganic crystals have structural units that contain up to ___ atoms. - Answers - 100
Protein crystals have structural units that contain up to ___ atoms. - Answers - 10,000
Crystals are described by ___ with a ___ attached to each___. - Answers - a lattice;
group of atoms; lattice point
A crystal structure is a combination of __ and __. - Answers - a lattice; a basis
Atomic structure is based on the arrangement of __, and crystal structure is based on
the arrangement of __. - Answers - electrons in an atom; atoms in a crystal
There are __ basic crystal structures. - Answers - 7
In a Bravais point-lattice, the function of the translation vector is to __. - Answers -
describe the periodicity of the structure
A point lattice is a __ construct of __. - Answers - mathematical; periodic points in space
A point lattice defined by a set of __. - Answers - translation vectors
,What is the notation for a point in space? - Answers - a,b,c or abc
In a crystal structure, the group of atoms attached to a lattice point is called the __. -
Answers - basis
In a crystal, the ___ is repeated in space to create the crystal ___. - Answers - basis;
structure
Lattice + basis = __. - Answers - crystal structure
In a simple crystal like Cu, Ag or Fe, the structural unit is ___. - Answers - a single atom
In an inorganic crystal, the structural unit can be up to ___ atoms or molecules. -
Answers - 100
In a protein crystal, the structural unit can be up to ___ atoms or molecules. - Answers -
10000
The translation vectors in an ideal crystal are typically represented by ___. - Answers -
the letters a,b,c
A lattice is ___ and ___ arrangement of ___ in ___. - Answers - a regular; periodic;
points; space
A lattice is a set of points that are specified by the equation r' = ___, where r is a vector
that defines a given point in the lattice, and a,b,c are translation vectors, and the u,v,w
can take any integer value. - Answers - r + ua + vb + wc
The crystal axes a,b,c form three adjacent edges of a ___. - Answers - parallelepiped
In a lattice, a primitive cell has lattice points only __ the ___ of the cell. - Answers - at;
corners
A lattice translation operation is defined as __ of a crystal __ itself by a crystal ___
vector. - Answers - displacement; parallel to; translation
A primitive cell is a __ cell. - Answers - minimum volume
In a lattice, a pair of translation vectors are ___ if we arrive at all lattice points by ___
combinations of those two vectors. - Answers - primitive; integral
To determine the Wigner-Seitz __ cell, we draw lines to connect a given lattice point to
all nearby lattice points; at the midpoint of each such line, draw a __ line or plane. The
__ volume that is enclosed in this way is the Wigner-Seitz __ cell. - Answers - primitive;
normal; smallest; primitive
, A crystal lattice can have __-fold symmetries, but not __-fold symmetries. - Answers -
(1,2,3,4,6); (5,7)
A lattice ___ is the collection of symmetry operations which (when applied about a ___)
leave the lattice ___. - Answers - point group; lattice point; invariant
Symmetry operations include __, __ and __ operations. - Answers - rotation; mirror
reflections; inversion
A cube has __ four-fold axes of symmetry. - Answers - 3
A cube has __ three-fold axes of symmetry. - Answers - 4
A cube has __ two-fold axes of symmetry. - Answers - 6
The structure SC is a __ with __. - Answers - Simple cubic lattice; an atom at 000
The stucture BCC is a __ with __. - Answers - body-centered cubic lattice; an atom at
000
The stucture FCC is a __ with __. - Answers - face-centered cubic lattice; an atom at
000
The structure HCP is a __ lattice with an atom at __ and an atom at __. - Answers -
primitive hexagonal; 000, 1/3, 2/3, 1/2; 000, 2/3, 1/3, 1/2
The NaCl structure is a __ lattice with atoms at __. - Answers - FCC; A 000, B ½ ½ ½
The CsCl structure is a __ lattice with atoms at __. - Answers - SC; Cs 000, Cl ½ ½ ½
The diamond structure is a __ lattice with atoms at __. - Answers - FCC; C 000, C 1/4
1/4 1/4
Describe the following structures: ZnS. - Answers - FCC; Zn 000, S 1/4 1/4 1/4
A basis is __ that __ each lattice point. - Answers - a motif of atoms; reside on
What notation is used to describe atomic position? - Answers - a,b,c or abc
How many lattice points are in the FCC unit cell? - Answers - 4
How many lattice points are in the BCC unit cell? - Answers - 2
How many lattice points are in the SC unit cell? - Answers - 1
How many lattice points are in the Hexagonal unit cell? - Answers - 1
ANSWERS
Solid-state physics focuses on studying __ and __ in crystals. - Answers - crystals;
electrons
A crystal is a __ periodic __ of __. - Answers - 3-dimensional; array; atoms
In the early 1900s, Laue developed a theory of ___ of x-rays by a periodic __ of __. -
Answers - diffraction; array; atoms
The experimental observation of __ by crystals proved that crystals are composed of a
periodic __ of __. - Answers - X-ray diffraction; array; attoms
An ideal crystal is composed of the ___ repetition of __ structural units. - Answers -
infinite; identical
The simplest crystals have structural repeat-units of __. - Answers - a single atom
Examples of materials that form the simplest crystals are __, __ and __. - Answers -
copper; silver; iron
Inorganic crystals have structural units that contain up to ___ atoms. - Answers - 100
Protein crystals have structural units that contain up to ___ atoms. - Answers - 10,000
Crystals are described by ___ with a ___ attached to each___. - Answers - a lattice;
group of atoms; lattice point
A crystal structure is a combination of __ and __. - Answers - a lattice; a basis
Atomic structure is based on the arrangement of __, and crystal structure is based on
the arrangement of __. - Answers - electrons in an atom; atoms in a crystal
There are __ basic crystal structures. - Answers - 7
In a Bravais point-lattice, the function of the translation vector is to __. - Answers -
describe the periodicity of the structure
A point lattice is a __ construct of __. - Answers - mathematical; periodic points in space
A point lattice defined by a set of __. - Answers - translation vectors
,What is the notation for a point in space? - Answers - a,b,c or abc
In a crystal structure, the group of atoms attached to a lattice point is called the __. -
Answers - basis
In a crystal, the ___ is repeated in space to create the crystal ___. - Answers - basis;
structure
Lattice + basis = __. - Answers - crystal structure
In a simple crystal like Cu, Ag or Fe, the structural unit is ___. - Answers - a single atom
In an inorganic crystal, the structural unit can be up to ___ atoms or molecules. -
Answers - 100
In a protein crystal, the structural unit can be up to ___ atoms or molecules. - Answers -
10000
The translation vectors in an ideal crystal are typically represented by ___. - Answers -
the letters a,b,c
A lattice is ___ and ___ arrangement of ___ in ___. - Answers - a regular; periodic;
points; space
A lattice is a set of points that are specified by the equation r' = ___, where r is a vector
that defines a given point in the lattice, and a,b,c are translation vectors, and the u,v,w
can take any integer value. - Answers - r + ua + vb + wc
The crystal axes a,b,c form three adjacent edges of a ___. - Answers - parallelepiped
In a lattice, a primitive cell has lattice points only __ the ___ of the cell. - Answers - at;
corners
A lattice translation operation is defined as __ of a crystal __ itself by a crystal ___
vector. - Answers - displacement; parallel to; translation
A primitive cell is a __ cell. - Answers - minimum volume
In a lattice, a pair of translation vectors are ___ if we arrive at all lattice points by ___
combinations of those two vectors. - Answers - primitive; integral
To determine the Wigner-Seitz __ cell, we draw lines to connect a given lattice point to
all nearby lattice points; at the midpoint of each such line, draw a __ line or plane. The
__ volume that is enclosed in this way is the Wigner-Seitz __ cell. - Answers - primitive;
normal; smallest; primitive
, A crystal lattice can have __-fold symmetries, but not __-fold symmetries. - Answers -
(1,2,3,4,6); (5,7)
A lattice ___ is the collection of symmetry operations which (when applied about a ___)
leave the lattice ___. - Answers - point group; lattice point; invariant
Symmetry operations include __, __ and __ operations. - Answers - rotation; mirror
reflections; inversion
A cube has __ four-fold axes of symmetry. - Answers - 3
A cube has __ three-fold axes of symmetry. - Answers - 4
A cube has __ two-fold axes of symmetry. - Answers - 6
The structure SC is a __ with __. - Answers - Simple cubic lattice; an atom at 000
The stucture BCC is a __ with __. - Answers - body-centered cubic lattice; an atom at
000
The stucture FCC is a __ with __. - Answers - face-centered cubic lattice; an atom at
000
The structure HCP is a __ lattice with an atom at __ and an atom at __. - Answers -
primitive hexagonal; 000, 1/3, 2/3, 1/2; 000, 2/3, 1/3, 1/2
The NaCl structure is a __ lattice with atoms at __. - Answers - FCC; A 000, B ½ ½ ½
The CsCl structure is a __ lattice with atoms at __. - Answers - SC; Cs 000, Cl ½ ½ ½
The diamond structure is a __ lattice with atoms at __. - Answers - FCC; C 000, C 1/4
1/4 1/4
Describe the following structures: ZnS. - Answers - FCC; Zn 000, S 1/4 1/4 1/4
A basis is __ that __ each lattice point. - Answers - a motif of atoms; reside on
What notation is used to describe atomic position? - Answers - a,b,c or abc
How many lattice points are in the FCC unit cell? - Answers - 4
How many lattice points are in the BCC unit cell? - Answers - 2
How many lattice points are in the SC unit cell? - Answers - 1
How many lattice points are in the Hexagonal unit cell? - Answers - 1
