Phase Equilibrium. Makaopuhi Lava Lake Magma samples recovered from various depths beneath solid...
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![Page 1: Phase Equilibrium. Makaopuhi Lava Lake Magma samples recovered from various depths beneath solid crust From Wright and Okamura, (1977) USGS Prof. Paper,](https://reader030.fdocuments.us/reader030/viewer/2022032801/56649d565503460f94a33b31/html5/thumbnails/1.jpg)
Phase EquilibriumPhase Equilibrium
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Makaopuhi Lava LakeMakaopuhi Lava LakeMagma samples recovered from various Magma samples recovered from various
depths beneath solid crustdepths beneath solid crust
From Wright and Okamura, (1977) USGS Prof. Paper, 1004.
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Temperature of sample vs. Percent GlassTemperature of sample vs. Percent Glass
10090706050403020100
Percent Glass
900
950
1000
1050
1100
1150
1200
1250
Tem
pera
ture
o c
80
Makaopuhi Lava LakeMakaopuhi Lava Lake
Fig. 6-1. From Wright and Okamura, (1977) USGS Prof. Paper, 1004.
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Minerals that form during crystallizationMinerals that form during crystallization1250
1200
1150
1100
1050
1000
9500 0 0 010 10 20 10 102030 40 3050 40 50
Liquidus
Melt
Crust
Solidus
Olivine Clinopyroxene Plagioclase Opaque
Tem
per
atu
re o
C
olivine decreases
below 1175oC
Makaopuhi Lava LakeMakaopuhi Lava Lake
Fig. 6-2. From Wright and Okamura, (1977) USGS Prof. Paper, 1004.
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Mineral composition during crystallizationMineral composition during crystallization100
90
80
70
60
50.7.8.9 .9 .8 .7 .6 80 70 60
AnMg / (Mg + Fe)
We
igh
t %
Gla
ss
Olivine Augite Plagioclase
Mg / (Mg + Fe)
Makaopuhi Lava LakeMakaopuhi Lava Lake
Fig. 6-3. From Wright and Okamura, (1977) USGS Prof. Paper, 1004.
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Crystallization Behavior of MeltsCrystallization Behavior of Melts1. Cooling melts crystallize from a liquid to a solid over a range of 1. Cooling melts crystallize from a liquid to a solid over a range of
temperatures (and pressures)temperatures (and pressures)
2. Several minerals crystallize over this T range, and the number of 2. Several minerals crystallize over this T range, and the number of minerals increases as T decreasesminerals increases as T decreases
3. The minerals that form do so sequentially, with considerable 3. The minerals that form do so sequentially, with considerable overlapoverlap
4. Minerals that involve solid solution change composition as cooling 4. Minerals that involve solid solution change composition as cooling progressesprogresses
5. The melt composition also changes during crystallization5. The melt composition also changes during crystallization
6. The minerals that crystallize (as well as the sequence) depend on T 6. The minerals that crystallize (as well as the sequence) depend on T and X of the meltand X of the melt
7. Pressure can affect the types of minerals that form and the 7. Pressure can affect the types of minerals that form and the sequencesequence
8. The nature and pressure of the volatiles can also affect the minerals 8. The nature and pressure of the volatiles can also affect the minerals and their sequenceand their sequence
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The Phase RuleThe Phase RuleF = C - F = C - + 2 + 2
F = # degrees of freedomF = # degrees of freedomThe number of intensive parameters that must be specified in The number of intensive parameters that must be specified in
order to completely determine the system order to completely determine the system
= # of phases= # of phasesPhases are mechanically separable constituentsPhases are mechanically separable constituents
C = minimum # of components C = minimum # of components
Chemical constituents that must be specified in order to Chemical constituents that must be specified in order to define all phases define all phases
2 = 2 intensive parameters2 = 2 intensive parametersUsually temperature and pressure for geologistsUsually temperature and pressure for geologists
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OneOneComponent Component
SystemsSystems
SiOSiO22
Fig. 6-6. After Swamy and Saxena (1994), J. Geophys. Res., 99, 11,787-11,794. AGU
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Two Component SystemsTwo Component Systems
PlagioclasePlagioclase Ab (NaAlSiAb (NaAlSi33OO8 8 ) - An (CaAl) - An (CaAl22SiSi22OO88))
Systems with Systems with Complete Solid SolutionComplete Solid Solution
Fig. 6-8. Isobaric T-X phase diagram at atmospheric pressure. After Bowen (1913) Amer. J. Sci., 35, 577-599.
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Bulk composition Bulk composition aa = An = An6060
= 60 g An + 40 g Ab= 60 g An + 40 g Ab
XXAnAn = 60/(60+40) = 0.60 = 60/(60+40) = 0.60
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A A continuous reactioncontinuous reaction of the type: of the type:liquidliquidBB + solid + solidCC = liquid = liquidDD + solid + solidFF
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fd e
dede efef
The lever principle:The lever principle:
Amount of liquidAmount of liquid
Amount of solidAmount of solid dede
efef==
where where dd = the = the liquidliquid composition, composition, ff = the = the solidsolid composition composition and and ee = the = the bulkbulk composition composition
liquidusliquidus
solidussolidus
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P=1 atm
Composition of 1st crystal
X
Equilibrium Crystallization of the Plagioclase Feldspars
1. Liquid of composition X (An61) cools to the liquidus
2. Crystals of approximately An87 begin to form
3. Crystals have higher Ca/Na than liquid; ppt of crystals causes L composition to become more sodic.
4. Ratio of Ca/Na in both crystals and liquid decrease with decreasing temperature; proportion of crystals increases as liquid decreases
Composition of last crystal
Composition of last liquid
5. Crystals of An61 cool without further change in composition
PowerPoint® presentation by Kenneth E. Windom
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Note the following:Note the following:1.1. The melt crystallized over a T range of 135 The melt crystallized over a T range of 135ooC *C *4.4. The composition of the liquid changed from The composition of the liquid changed from bb to to gg5.5. The composition of the solid changed from The composition of the solid changed from cc to to hh
Numbers referNumbers referto the “behaviorto the “behaviorof melts” observationsof melts” observations(several slides back)(several slides back)
** The actual temperatures ** The actual temperatures and the range depend on the and the range depend on the bulk composition **bulk composition **
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Equilibrium Equilibrium meltingmelting is exactly the opposite is exactly the opposite Heat AnHeat An6060 and the first melt is and the first melt is g at Ang at An20 20 and 1340and 1340ooCC Continue heating: both melt and plagioclase change XContinue heating: both melt and plagioclase change X Last plagioclase to melt is Last plagioclase to melt is c (Anc (An8787) at 1475) at 1475ooCC
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Fractional crystallization:Fractional crystallization: Remove crystals as they form so they can’t Remove crystals as they form so they can’t undergo a continuous reaction with the meltundergo a continuous reaction with the melt
At any T, At any T, XXbulkbulk = X = Xliqliq due to the removal of the crystalsdue to the removal of the crystals
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Partial Melting:Partial Melting:Remove first meltRemove first melt as it forms as it forms
Melt XMelt Xbulkbulk = 0.60, first liquid = = 0.60, first liquid = gg
remove and cool bulk = g remove and cool bulk = g final plagioclase = final plagioclase = ii
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OlivineOlivineFo - FaFo - Fa (Mg (Mg22SiOSiO44 - Fe - Fe22SiOSiO44))
also a solid-solution seriesalso a solid-solution series
Fig. 6-10. Isobaric T-X phase diagram at atmospheric pressure After Bowen and Shairer (1932), Amer. J. Sci. 5th Ser., 24, 177-213.
Two Component SystemsTwo Component Systems
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2-C Eutectic Systems2-C Eutectic Systems Example: Diopside - AnorthiteExample: Diopside - Anorthite
No solid solutionNo solid solution
Fig. 6-11. Isobaric T-X phase diagram at atmospheric pressure. After Bowen (1915), Amer. J. Sci. 40, 161-185.
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1. A bulk composition of X cools to the liquidus, at which point An crystallizes.
2. Continued crystallization of An causes liquid composition to move toward Di.
3. When T=1274°C, liquid has moved to eutectic; Di begins to crystallize. No change in temperature or composition of any of the 3 phases is permitted until the liquid has completely crystallized.
4. At temperatures below 1274°C, only crystals of An and Di are present.
X
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C = 3: Ternary Systems:Example 1: Ternary Eutectic
Di - An - Fo
TT
MM
AnorthiteAnorthite
ForsteriteForsterite
DiopsideDiopside
Note three binary Note three binary eutecticseutectics
No solid solutionNo solid solution
Ternary eutectic = MTernary eutectic = M
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Crystallization Behavior of MeltsCrystallization Behavior of Melts1. Cooling melts crystallize from a liquid to a solid over a range of 1. Cooling melts crystallize from a liquid to a solid over a range of
temperatures (and pressures)temperatures (and pressures)
2. Several minerals crystallize over this T range, and the number of 2. Several minerals crystallize over this T range, and the number of minerals increases as T decreasesminerals increases as T decreases
3. The minerals that form do so sequentially, with considerable 3. The minerals that form do so sequentially, with considerable overlapoverlap
4. Minerals that involve solid solution change composition as cooling 4. Minerals that involve solid solution change composition as cooling progressesprogresses
5. The melt composition also changes during crystallization5. The melt composition also changes during crystallization
6. The minerals that crystallize (as well as the sequence) depend on T 6. The minerals that crystallize (as well as the sequence) depend on T and X of the meltand X of the melt
7. Pressure can affect the types of minerals that form and the 7. Pressure can affect the types of minerals that form and the sequencesequence
8. The nature and pressure of the volatiles can also affect the minerals 8. The nature and pressure of the volatiles can also affect the minerals and their sequenceand their sequence