1. Constructing Vertical Sections
Five Step
Method
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2. The Five Steps: Solidus Line Liquidus Line Sub-Liquidus Line
Alchemades Line Intersections
Labels
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3. Diagram Construction:
ZrTiO4
Al2O3
Al2TiO5
ZrO2
1580°
1590°
1610°
Identify primary phase fields
Draw Alchemades lines
Identify direction of falling temperature on boundary lines.
ZrO2
ZrTiO4
Al2O3
TiO2
Al2TiO5
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4. Set-up c cc TiO2 ZrTiO4 Al2O3 Al2TiO5 ZrO2
1580°
1590°
1610°
Choose the Section Line (c - cc).
Draw diagram framework. c cc
Section Line c cc
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5. Step 1 - Solidus lines TiO2 ZrTiO4 Al2O3 Al2TiO5 ZrO2 c cc
1580°
1590°
1610° c cc
Which compatibility triangles are crossed?
Find the associated ternary invariant points.
Indicate temperatures on (c - cc) diagram.
Draw Solidus lines on (c - cc) diagram.
1610°
1590°
1580°
1580°
1590°
1610°
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6. Step 2
- Liquidus line
The top view of the liquidus line can be seen on the ternary diagram.
TiO2
ZrTiO4
Al2O3
Al2TiO5
ZrO2
1580°
1590°
1610° c cc
Find the end points and points where the liquidus line crosses any boundary lines.
Estimate and plot relative temperatures of these points.
Draw liquidus line - estimate curvature.
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7. Step 3 - Sub-Liquidus line TiO2 ZrTiO4 Al2O3 Al2TiO5 ZrO2 c cc
What are “critical” compositions?
TiO2
ZrTiO4
Al2O3
Al2TiO5
ZrO2
1580°
1590°
1610° c cc
Find and indicate all of the “critical” compositions.
Perform isoplethal analysis - record temperature where boundary line is intersected.
Draw sub-liquidus line.
Check each segment with an intermediate isoplethal analysis.
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8. Step 4 - Alchemades line Intersection TiO2 ZrTiO4 Al2O3 Al2TiO5 ZrO2 c
1580°
1590°
1610° c cc
Find and indicate all compositions where section line crosses an alchemades line.
Perform isoplethal analysis and plot final crystallization temperature.
Draw lines which indicate material is all solid
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9. Step 5
- Labels
Review ternary diagram and label vertical section c cc
1580°
1590°
1610°
Liquid
Liq. + Al2O3
Liq. + Al2TiO5
Liq. +
ZrTiO4
Liq.
ZrO2
Al2TiO5
Liq.
Al2O3
Al2TiO5
Liq.
ZrO2
Al2O3
Liq.
ZrO2
Al2TiO5
Liq.
TiO2
ZrTiO4
Liq.
ZrTiO4
Al2TiO5
Liq.
ZrTiO4
Al2TiO5
ZrO2 + Al2O3 +
Al2TiO5
ZrO2 + ZrTiO4 +
Al2TiO5
TiO2 + ZrTiO4 +
Al2TiO5
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