Calculations outline:
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from data |
SiO2 |
|
from data |
43.5% |
|
from periodic table |
60.02 |
|
(weight%) / (mol wt.) |
.7248 |
|
(mol prop.) x (# cations in oxide) |
.7248 |
|
(mol prop.) x (#oxygen in oxide) |
1.4496 |
(e.g., 12) |
(correction factor**) x (cation prop.) (e.g., for a correction factor = 1.699) |
1.231 |
|
from radius ratio |
4 CN |
**Correction factor = (# of oxygens in ideal formula) / (sum of oxygen props.)
*Remember to check for electroneutrality
Formulation example:
Mineral: Olivine - ideal formula (Fe,Mg)2SiO4
|
Oxide SiO2 FeO MnO MgO
Total |
Weight 34.96 36.77 0.52 27.04
99.29 |
Mol. 0.5818 0.5118 0.0073 0/6708
|
Cation 0.5818 0.5118 0.0073 0.6708
|
Oxygen 1.1636 0.5118 0.0073 0.6708
2.3535 |
**Cats on 0.989 0.870 0.012 1.140
|
CN 4 CN 6 CN 6 CN 6 CN
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Then the correction factor would be (4) / (2.3535) = 1.699
The composition of the above olivine would then be:
(Mg1.14Fe0.87Mn0.01)Si0.99O4
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http://classes.colgate.edu/rapril/geol201/ |