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Ternary Systems

Ternary Systems. Readings: Winter Chapter 7. C = 3: Ternary Systems: Example 1: Ternary Eutectic Di - An - Fo. Anorthite. Note three binary eutectics No solid solution Ternary eutectic = M. M. T. Forsterite. Diopside. T - X Projection of Di - An - Fo.

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Ternary Systems

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  1. Ternary Systems Readings: Winter Chapter 7

  2. C = 3: Ternary Systems:Example 1: Ternary EutecticDi - An - Fo Anorthite Note three binary eutectics No solid solution Ternary eutectic = M M T Forsterite Diopside

  3. T - X Projection of Di - An - Fo Isobaric diagram illustrating the liquidus temperatures in the Di-An-Fo system at atmospheric pressure (0.1 MPa). After Bowen (1915), A. J. Sci., and Morse (1994), Basalts and Phase Diagrams. Krieger Publishers.

  4. Crystallization Relationships

  5. a Liquid An An + Liq Di + Liq Di + An Pure Fo forms Just as in binary f = ? F = ?

  6. f = 2 (Fo + Liq) • F = 3 - 2 + 1 = 2 If on liquidus, need to specify • only 2 intensive variables • to determine the system • T and or • and • X of pure Fo is fixed liq X An liq liq X X An Fo

  7. Lever principle ® relative proportions of liquid & Fo • At 1500oC • Liq x + Fo = bulk a • x/Fo = a-Fo/x-a

  8. 1270 1300 1274 M 1400 1500 b Di + Liq Fo + Liq 1392 c Diopside 1387 • New continuous reaction as liquid follows cotectic: • LiqA® LiqB + Fo + Di • Bulk solid extract • Di/Fo in bulk solid extract using lever principle

  9. At 1300oC liquid = X • Imagine triangular plane X - Di - Fo balanced on bulk a Liq x a Di m Fo Liq/total solids = a-m/Liq-a total Di/Fo = m-Fo/Di-m

  10. Partial Melting (remove melt):

  11. Ternary Peritectic Systems:Fo - An - SiO2(at 0.1 MPa) 3 binary systems: Fo-An eutectic An-SiO2eutectic Fo-SiO2peritectic Isobaric diagram illustrating the cotectic and peritectic curves in the system forsterite-anorthite-silica at 0.1 MPa. After Anderson (1915) A. J. Sci., and Irvine (1975) CIW Yearb. 74.

  12. x b Forsterite + Liq a Enstatite + Liq y Fo En 1890

  13. i k 1557 Fo En Works the same way as the Fo - En - SiO2 binary

  14. f e b Forsterite + Liq Enstatite + Liq En Fo

  15. Diopside-Albite-Anorthite Isobaric diagram illustrating the liquidus temperatures in the system diopside-anorthite-albite at atmospheric pressure (0.1 MPa). After Morse (1994), Basalts and Phase Diagrams. Krieger Publushers Di - An Eutectic Di - Ab Eutectic Ab - An solid solution

  16. Isobaric diagram illustrating the liquidus temperatures in the system diopside-anorthite-albite at atmospheric pressure (0.1 MPa). After Morse (1994), Basalts and Phase Diagrams. Krieger Publishers. Isobaricpolythermalprojection

  17. Binary character is usually maintained when a new component is added • Eutectic behavior remains eutectic • Peritectic behavior remains peritectic • Solid solutions remain so as well

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