PREDICTING MINERAL CLEAVAGE
by S.Hardesty,D.Cassels,B.Baker, & M.Ellison

LAB ACTIVITY
     Look at the mineral samples you have been given and determine if there are patterns in how the minerals break.  Geologists use the word cleave for how the minerals break.  For each mineral you are given, record some notes about how it cleaves.

BACKGROUND
     The orderly arrangement of atoms in a mineral can be seen in its tendency to break along smooth planes in specific directions -- a property known as cleavage. The planes are known as cleavage planes. A mineral's ability to resist breakage depends on the strength of chemical bonds between the atoms in its crystal structure. The stronger the bonds, the more difficult it is the break the mineral.
     What makes a chemical bond "strong" or "weak?" In simple terms, the strength of a bond depends on the intensity and the shape of the electrical field (the complex cloud of electrons) between two atoms. Describing the electrical field and all of the factors that control its intensity and shape, however, is a very challenging task. To do it, chemists measure physical and electrical properties of each atom and use those measurements to describe the bond mathematically. One of the most important measurements is the distance between atoms. As a rule of thumb, the closer two atoms are to each other, the more tightly they bond together, all other factors being equal.
     In most crystal structures, atoms are closer together in some directions than in others. Thus, the bonds in those directions are stronger. Cleavage takes place along planes that cut across the longest, weakest bonds in the structure.
     Some minerals, such as the micas, cleave in only one direction. Others, in which more than one set of layers is weakly bonded, may cleave in two or more directions. Geologists can use the number of cleavage directions and the angles between them to distinguish one mineral from another. All samples of the same mineral always exhibit the same cleavage because they have the same molecular structure.
     Some minerals do not exhibit cleavage at all, because there is little difference in bond strength from one direction to another in their crystal structures. Such minerals break to produce a rough, non-planar surface called a fracture instead.

COMPUTER ACTIVITY
     Rotate each molecular structure and search a plane along which this structure might break (that is, a cleavage plane).  The background information above should give you some hints about what to look for.  There is a molecular structure for each of the mineral samples you were given.  Try to match the molecular structures with the mineral samples.
    For each of the molecules you are assigned describe the cleavage planes you predict from these models.  Determine the number of planes and try to describe their directions by refering to the XYZ axes.  Then tell why you think these are the cleavage planes.  There are good hints in the Background section above.
 

Muscovite

Warning: If there is no picture above, you will have to download and install the chemscape plug-in
Muscovite
Potassium aluminum silicate hydroxide fluoride
Muscovite is composed of potassium, alumninum, silicon, oxygen, hydrogen and fluorine atoms. 
Some of the atoms in this structure are shown without any bonds.  This means that they have weaker bonds to the atoms near them. 
Zoom in to 200%.
Zoom in to 400%.
Highlight all oxygen atoms.
Highlight all potassium atoms.
Highlight all aluminum atoms.
Highlight all silicon atoms.
Remove highlighting.
Add visualization of planes in space.
Distances between atoms.  Click on any 2 atoms to see how far apart they are.  Units are in Angstroms. 
Restore the structure's original configuration.  (Use Back button to return.)
Another web page on Muscovite.  (Use Back button to return.)
 How many cleavage planes does this molecule have?
[A] 1 [B] 2 [C] 3 [D] None
Calcite
Calcite
Calcium carbonate (CaCO3)
Calcite is composed of calcium, carbon and oxygen, atoms. 
Some of the atoms in this structure are shown without any bonds.  This means that they have weaker bonds to the atoms near them. 
Zoom in to 200%.
Zoom in to 400%.
Highlight all oxygen atoms.
Highlight all calcium atoms.
Highlight all carbon atoms.
Remove highlighting.
  Distances between atoms.  Click on any 2 atoms to see how far apart they are.  Units are in Angstroms. 
Restore the structure's original configuration.
Another web page on calcite.  (Use Back button to return.)
 How many cleavage planes does this molecule have?
[A] 1 [B] 2 [C] 3 [D] 4
Fluorite
Fluorite
Calcium fluoride (CaF2)
Calcite is composed of calcium and fluorine atoms. 
Zoom in to 200%.
Zoom in to 400%.
Highlight all calcium atoms.
Highlight all fluorine atoms.
Remove highlighting.
Add visualization of planes in space.
Distances between atoms.  Click on any 2 atoms to see how far apart they are.  Units are in Angstroms. 
Restore the structure's original configuration.
Another web page on fluorite.  (Use Back button to return.)
 How many cleavage planes does this molecule have?
[A] 1 [B] 2 [C] 3 [D] 4
Halite
Halite
Sodium Chloride (NaCl)
Halite is composed of sodium and chlorine atoms
Zoom in to 200%.
Zoom in to 400%.
Highlight all chlorine atoms.
Highlight all sodium atoms.
Remove highlighting.
Add visualization of planes in space.
Distances between atoms.  Click on any 2 atoms to see how far apart they are.  Units are in Angstroms. 
Restore the structure's original configuration.
Another web page on halite.  (Use Back button to return.)
How many cleavage planes does this molecule have?
[A] 1 [B] 2 [C] 3 [D] 4
Graphite
Graphite
Graphite is composed of carbon atoms.
There are groupings of atoms in this structure that are shown without any bonds.  This means there are weaker bonds between these groups of atoms. 
Zoom in to 200%.
Zoom in to 400%.
Highlight all carbon atoms.
Remove highlighting.
Add visualization of planes in space.
Distances between atoms.  Click on any 2 atoms to see how far apart they are.  Units are in Angstroms. 
Restore the structure's original configuration.
Another web page on graphite.  (Use Back button to return.)
How many cleavage planes does this molecule have?
[A] 1 [B] 2 [C] 3 [D] None
Pyroxene
Pyroxene
Pyroxene is a class of minerals including augite.
Pyroxenes are aluminum silicates with other ions present.
Zoom in to 200%.
Zoom in to 400%.
Highlight all oxygen atoms.
Highlight all magnesium atoms.
Highlight all silicon atoms.
Remove highlighting.
Add visualization of planes in space.
Distances between atoms.  Click on any 2 atoms to see how far apart they are.  Units are in Angstroms. 
Restore the structure's original configuration.
How many cleavage planes does this molecule have?
[A] 1 [B] 2 [C] 3 [D] None
Quartz
Quartz
Silicon Oxide SiO2
Quartz is composed of silicon and oxygen atoms.
Zoom in to 200%.
Zoom in to 400%.
Highlight all oxygen atoms.
Highlight all silicon atoms.
Remove highlighting.
Add visualization of planes in space.
Distances between atoms.  Click on any 2 atoms to see how far apart they are.  Units are in Angstroms. 
Restore the structure's original configuration.
Another web page on quartz.  (Use Back button to return.)
How many cleavage planes does this molecule have?
[A] 1 [B] 2 [C] 3 [D] None
Beryl
Beryl
Beryllium Aluminum Silicate (Be3Al2(SiO3)6)
Beryl is composed of beryllium, alumninum, silicon, oxygen and sodium atoms. 
Some of the atoms in this structure are shown without any bonds.  This means that they have weaker bonds to the atoms near them. 
Zoom in to 200%.
Zoom in to 400%.
Highlight all oxygen atoms.
Highlight all beryllium atoms.
Highlight all aluminum atoms.
Highlight all silicon atoms.
Highlight all sodium ions.  (sometimes other ions are here)
Remove highlighting.
Add visualization of planes in space.
Distances between atoms.  Click on any 2 atoms to see how far apart they are.  Units are in Angstroms. 
Restore the structure's original configuration.
Another web page on beryl.  (Use Back button to return.)
 How many cleavage planes does this molecule have?
[A] 1 [B] 2 [C] 3 [D] None