MSEASUSlides: Muddiest Point: Phase Diagrams I Eutectic Calculations and…
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Muddiest Points Phase Diagram I: Calcula7ons & Lever Rule Muddiest Points: • “What do alpha and beta represent?” •“What is the eutec7c reac7on?” • “How do I find chemical composi7on and phase frac7on from a phase diagram?”
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This slide set corresponds to the MaterialsConcepts YouTube video "Muddiest Point- Phase Diagrams I: Eutectic Calculations and Lever Rule ". Here is the link: http://www.youtube.com/watch?v=h5dwpTqacqc To study the vocab used in this video, visit this site: http://quizlet.com/20699402/51-phase-diagram-concepts-and-terms-flash-cards/ This work was supported by NSF Grants #0836041 and #1226325.
Transcript of MSEASUSlides: Muddiest Point: Phase Diagrams I Eutectic Calculations and…
Muddiest Points Phase Diagram I: Calcula7ons & Lever Rule
Muddiest Points: • “What do alpha and beta represent?”
• “What is the eutec7c reac7on?”
• “How do I find chemical composi7on and phase frac7on from a phase diagram?”
Solubility limit of Sn in α
Solubility limit of Pb in β
Eutec1c Reac1on
CEu
TEu
α+L α
α + β
L
β + L β
Eutectic Phase Diagram Terminology
(Pb) (Sn) Composi7on (wt. % Sn)
Hypoeutec7c Comp. Hypereutec7c Comp.
Liquidus
Solidus
Solubility limit of Sn in α
Solubility limit of Pb in β
Eutec1c Reac1on
CEu
TEu
L a S1 + S2 Comp. L Comp S1 Comp S2
Temp Reac7on General Eutec7c Reac7on
L a α + β
61.9%Sn 18.3%Sn 97.8%Sn
183 C
Pb -‐ Sn Eutec7c Reac7on
Sol limit of B in S1 Sol limit of A in S2
α+L α
α + β
L
β + L β
L
S1 + S2
Eutectic Reaction in the Pb-Sn Phase Diagram
(Pb) (Sn) Composi7on (wt. % Sn)
Hypoeutec7c Comp. Hypereutec7c Comp.
Liquidus
Solidus
Eutec7c Rx
CEu
α+L α
α + β
β + L
For 40 wt% Sn -‐ 60 wt% Pb ( ) at 150°C 1) phases present:
Co
Co
β
P Q
Cα Cβ
150
Co Cα Cβ
Wα= Q P+Q
Cβ-‐Co Cβ-‐Cα
Wβ= P
P+Q Co-‐Cα Cβ-‐Cα
40% 11 % 99 % 61.9%
Phase Calcula7ons
(Pb) (Sn) Composi7on (wt. % Sn)
T (°C) L
3) Phase wt. frac. (0 a1) of each ph.:
2) Chemical comp of each phase:
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*5'
*5'
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6' 7
*!# *"#
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*5'*!#*"#
8!=# 7'
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8"=#6'
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K.'6012$'F#?'L31%?'A9'!-.'5L'$1%0'/0?M'
N.'*0$DE%1@'%5D/!#9!:2;<!=<2>:7!
Given 1) 150C; 2) 40Sn-‐60Pb (2-‐phase region)
L
Muddiest Points Phase Diagram I: Calcula7ons & Lever Rule
Muddiest Points: • “What do alpha and beta represent?”
• “What is the eutec7c reac7on?”
• “How do I find chemical composi7on and phase frac7on from a phase diagram?”
