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Closed pack structures
the arrangements of atoms in layers
Hexagonal closed packing layers
ABABAB (two repeating layers)
Cubic closed packing (FCC)
ABCABC (three repeating layers)
in each structure (closed packed), how many closest neighbors does each sphere have
each sphere has 12 nearest neighbors (12 spaces touch this given sphere)
Coordination number of each sphere
12
Neighbors of closed pack (where are they located)
6 neighbors in the same plane, 3 in the upper plane, and 3 in the lower plane
How much of the space is occupied by atoms in a closed pack structure
74% of the space, 26% of the remaining space is holes
Tetrahedral and octahedral holes
in closed packed structures, the spheres lie either at the corners of tetrahedra or octahedra. The spheres pack so that there are octahedral and tetrahedral holes between them
Are octahedral or tetrahedral holes bigger?
octahedral holes (twice as many octahedral holes than octahedral ones in a close-packed array)
Non-close packed arrangement
not organized in layers
how much of the space is occupied by spheres?
BCC: 68%
SC: 52%
Coordination number of SC
6
Coordination number of BCC
8
Polymorphism
many metals exhibit more than one crystalline form depending on temperature and/or pressure conditions
Metals are rarely
found uncombined in nature, they tend to combine to form alloys
Alloys
a mixture of metals or of metals and non metals generates alloys with improved physical properties such as hardness, resistance to corrosion, and ductility.
Example of an alloy
stainless steels (don't become stained with rust)
How is an alloy manufactured
by combining the different elements in the molten state followed by cooling
Why is the speed of the cooling process important?
-if the cooling is done rapidly, the distribution of the metal atoms in the solid solution is random. The element in excess is termed the solvent and the minor component is the solute.
-if the cooling is done more slowly, it results in a more ordered distribution of the solute atoms.
substitutional alloys
contain guest solute atoms which have the same size and coordination number as those of the host atoms.
example of substituional alloy
sterling silver used for silver cutlery and jewerly (92.5% Ag and 7.5% Cu)
Interstitial alloys
contain atoms which occupy the octahedral holes while smaller atoms occupy the tetrahedral holes
Carbon steel is an example of
an interstitial alloy
Intermetallic compounds
when mixtures of metals solidify, the structure of the formed alloy may be different from those of the pure metals.
Brass is an example of
an intermetallic compound
Band theory
used to describe the bonding in metals nd semiconductors and takes into account the mobility of the electrons over the whole crystalline structure.
band theory- metals
the MOs are close in energy and form a band of orbitals
band theory- insulator
if there is a significant energy difference between two bands, a band gap occurs
band theoy- semiconductors
if a fully occupied band is separated from an unoccupied band by a small band gap
intrinsic semiconductors
the occupation of the upper band (conduction band) increases with increasing temperature. The electrons in the upper band act as charge carriers and the semiconductor is able to conduct electricity.
The removal of electrons from the lower valence band creates positive holes into which electrons can move, and that leads to the ability to conduct charge
extrinsic semiconductors
A semiconductor that has been doped with an impurity element to increase its conductivity.
p-type semiconductor
positive semiconductor (Ga-doped Si), electrical conductivity arises from thermal population of an acceptor level which leaves vacancies (positive holes) in lower band
n-type semiconductor
a donor level is close in energy to the conduction band (As-Si)