Binary phhase diagrams are essential tools in alloy design, helping to understand thee consultairs between different phases at various compositions and temperature. Calculating tie lines and appliying lever rules are accordantal steps in analyzing these diagrams to determinate phase compositions and proportions.

Understanding Tie Lines

Tie lines are equitin across a binary phhase diagram at a specic temperature. They connect thee compositions of coexisting phases in conditionbrium. Thee endpoints of a tie line e indicate thate compositions of the liquid and solid phases present at that temperatur.

Vypočítané složení phasé

To find the phase compositions, draw a horizontale tie line at thet temperature of interest. Thee point where thee tie line intersects thee phase continuaries give the compositions of the phases. These point are used to determe thee relative applicts of each phase present.

Appying the Lever Rule

Te lever rule calculates the proportion of each phhase in an alloy. It is based on thee relative distances along thee tie line. Te formula is:

CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; = (Distance from point B to te overall composition) / (Distance bebemeen phhase A and phhase B)

Je to tak, že se to dá říct, že se to dá říct.

Praktical Example

Suppose an alloy has an overall composition of 40% compatient B at a certain temperature. Te tie line intersects thee liquid phhase at 30% B and thee solid phhase at 50% B. Using thee lever rule:

  • Fraction of liquid = (50- 40) / (50- 30) = 10 / 20 = 0, 5
  • Fraction of solid = (40- 30) / (50- 30) = 10 / 20 = 0, 5

This indicates equal applicts of liquid and solid phases at this composition and temperature.