Different ions occupy the same structural site if they have similar size, similar charge, and available in the environment where the mineral is forming
Favors ions of similar radius and similar charge
Limited to 15%-30% of the radius at surface temperatures and pressures
Substitution of ions with larger differences can occur at higher temperatures
Substitution
2 or more ions of similar radius and charge can substitute for one another
Simple complete substitution
When 2 elements can freely substitute for one another in any proportion
Complete solid solution series
Simultaneous substitution of ions of different charges in two different structural sites that preserve the electrical neutrality of the crystal lattice
Example of complete solid solution series
Plagioclase feldspar series
Coupled ionic substitution
Ions of substantially different size limit the amount of substitution
Example of coupled ionic substitution
Calcite (CaCO3) and magnesite (MgCO3)
Miscibility gap
Potential compositions that do not exist in nature due to limited amount of substitution
Example of miscibility gap
Ms25 to Ms40 in the calcite-magnesite series
Phase diagrams
Display the stability fields for various phases separated by lines representing conditions under which the phase changes can occur
Liquidus
Phase boundary (line) that separates melt from field that contain some solids (crystals)
Solidus
Phase boundary (line) that separates the all-solid field from the field that contain some liquid (melt)
Eutectic
Condition under which liquid is in equilibrium with two different solids
Peritectic
Condition under which a reaction occurs between a pre-existing solid phase and a liquid to produce a new solid phase
Phase
Mechanically separable part of a system (can be solid, liquid, or gas)
Invariant melting
Occurs when a melt of the same composition are produced by melting of rocks of different initial composition
Incongruent melting
Occurs when a solid mineral phase melts to produce a melt and a different mineral with a composition that is different from the initial mineral
Discontinuous reaction
Mineral crystals and melt react to produce a completely different mineral, with negligible solid solution between the minerals
Continuous reaction
Mineral crystals and melt react continuously and incrementally change the composition of both mineral and melt, requiring a solid solution series
Solvus
Phase boundary (line) that separates conditions in which complete solid solution occurs within a mineral series from conditions under which solid solutions are limited
Phase rule/ Gibbs' Phase rule (1928)
F = C + 2 - P, where F is the number of degrees of freedom or variance, C is the minimum number of chemical components required to define the phases, and P is the number of phases present in the system
Stishovite created at deep mantle regions, coesite created at meteor impacts and thermonuclear bomb sites
Stishovite and coesite are high pressure varieties, tridymite and cristobalite are high temperature-low pressure varieties, quartz is the stable polymorph that is why it is abundant in the crust
Low (alpha) quartz is more stable in low temperature environments
Lever rule
The proportion of the tie line on the solidus side of the system composition represents the proportion of liquid in the system, and the proportion of the tie line on the liquidus side represents the proportion of crystals (solids) in the system
What happens in an albite-anorthite diagram as a system cools
1. Crystal composition evolves down the solidus
2. Liquid composition evolves down the solidus during continuous melt-crystal reaction and additional crystallization
The smaller the amount of partial melting that occurs in a system, the more enriched are the melts in low temperature components
Larger percentages of partial melting progressively dilute the proportion of low-temperature components
Which mineral crystallizes first from a magma depends on the specifics of melt composition (if magma is basaltic, ferromagnesians like olivine and pyroxene will be first to crystallize)
Separation of crystals from the melt generally causes the melt composition to change
Multiple minerals can crystallize simultaneously from a magma
Perthite
feldspars containing Na-feldspars due to initially orthoclase-rich solid solutions
Antiperthite
Na-feldspars containing K-feldspars due to initially albite-rich solid solutions
Silica oversaturated
Occurs when there is more than enough silica (more than 2/3) to convert nepheline to albite, evidenced by the presence of tridymite or quartz alongside plagioclase feldspars
Silica undersaturated
Occurs when there is not enough silica to convert nepheline to albite, evidenced by presence of feldspathoids (ex: nepheline)
Silica saturated
Occurs when there is exact (2/3) amount of silica to convert nepheline to albite, evidenced by the presence of feldspar and absence of silica and feldspathoids
Isotopes
Varieties of the same element characterized by difference in the number of neutrons
Oxygen has 3 isotopes: 16O, 17O, and 18O. 16O constitutes >99.7%, 18O constitutes ~0.2%, while 17O is a relatively rare isotope
Carbon has 3 isotopes 12C, 13C, and 14C. 12C constitutes >98.9% while 13C constitutes 1.1%
Alpha decay
Release of 2 protons and 2 neutrons, decreasing mass number by 4 and atomic number by 2