MODULE 2 Flashcards
is one in which the atoms are situated in a repeating or periodic array over large atomic distances—that is, long-range order exists, such that upon solidification, the atoms
will position themselves in a repetitive three-dimensional pattern, in which each atom is bonded
to its nearest neighbor atoms.
Crystalline material
-do not crystallize and the long-range atomic order is absent.
Non-crystalline/Amorphous Material
the manner in which atoms, ions, or molecules are spatially arranged.
Crystal structure
where spheres representing nearest-neighbor atoms touch one
another.
Atomic hard-sphere model
means a three-dimensional array of points coinciding with atom positions (or
sphere centers).
Lattice
small groups of atoms form a repetitive pattern.
UNIT CELLS
are parallelepipeds or prisms having three sets of parallel faces; one is drawn within the
aggregate of spheres which in this case happens to be a cube.
UNIT CELLS
is the basic structural unit or building block of the crystal structure and defines the crystal
structure by virtue of its geometry and the atom positions within.
UNIT CELLS
What are three of the simple crystal strcutures found in metals?
- face-centered cubic,
- body centered cubic, and
- hexagonal close-packed.
The crystal structure found for many metals has a unit cell of cubic geometry, with atoms
located at each of the corners and the centers of all the cube faces.
face-centered cubic,
the cube edge length a and the atomic radius R are related through of a fCC is
a = 2R√2
Numbers of atoms per unit cell in FCC can be calculated using
N = Ni +Nf/2+Nc/8
each atom has the same number of nearest-neighbor or touching atoms
coordination number
What is the coordination number of FCC?
12
is the sum of the sphere volumes of all atoms within a unit cell (assuming the atomic hard-sphere model) divided by the unit cell volume—that is,
Atomic packing factor (APF)
Equation of APF
volume of atoms in a unit cell/Total unit cell volume
Another common metallic crystal structure also has a cubic unit cell with atoms located at
all eight corners and a single atom at the cube center.
body-centered cubic
(BCC) crystal structure.
Center and corner atoms touch one another along cube diagonals, and unit cell length a
and atomic radius R are related through
a =4R√3
Number of atoms in FCC?
4
NUMBER OF ATOMS IN BCC?
2
coordination number for bcc?
8