crystalline materials…….
atoms pack in ____
-typical of __________,_________,__________
pack in periodic 3D arrays
typical of metals, many ceramics, some polymers
noncrystalline materials…..
atoms have ____________
-occurs for __________,_______________
atoms have no periodic packing
occurs in complex structures, rapid cooling
“amorphous”=_____________
noncrystalline
unit cell is __________________________________
is the smallest repetitive volume which contains the complete lattice pattern of a crystal
there are _ crystal systems and ___ crystal lattices
7 crystal systems
14 crystal lattices
a,b, and c are __________
lattice constants
metallic crystal structures tend to be _____ packed
densly
what are the reasons for dense packing?
metallic crystal structures have the _____ crystal structures
simplest crystal structures
simple cubic structure (SC)
this structure is _______ due to the low packing density.
___ directions are the cube edges
whats its coordination number?????
APF=?
how many atoms/unit cell=?
this is rare
closed-packed direction
coordination number = 6
APF= .52
1 atom /unit cell
what is the coordination number for simple cubic structure?
6
APF=
volume of atoms in unit cell/volume of unit cell
Body center cubic structure (BCC)
atoms touch each other along __________
coordination number =____________
how many atoms per cell? ____
APF=?
along cube diagonals
coordination number =8
2 atoms/unit cell
APF= .68
face centered cubic structure (FCC)
atoms touch each other along ___________
what is the coordination number?
how many atoms/unit cell?
APF=???/
atoms touch each other along face diagonals
coordination number=12
4 atoms/unit cell
APF=.74
hexagonal close-packed structure (HCP)
what is the coordination number=
APF=
how many atoms per cell?
coordination number = 12
APF=.74
6 atoms/unit cell
density=p=?
mass of atoms in unit cell/total volume of unit cell
density of materials classes?
________>__________>___________
metals(most dense)>ceramics>polymers
why?
metals- have close-packing (metallic bonding), often large atomic masses
ceramics- have less dense packing, often lighter elements, polymers have low packing density (often amorphous), lighter elements
however, composites have intermediate values
_________________for unit cell CENTER are a/2, b/2, c/2:
1/2,1/2,1/2
point coordinates
point coordinates for unit cell _________ are 111
a,b,c
CELL CORNER
What is the algorithm to find the crystallographic directions
what is the formula for linear density =LD
LD=number of atoms/unit length of direction vector
all parrallel planes have _____________________
same Miller indices
what is the algorithm of crystallographic planes?
some engineering applications require single crystals:
such as:
diamond single crystals for abrasives
turbine blades