# Phase Diagrams in Single Component and Binary Systems

- Institution: IIT Kanpur
- Department: Metallurgy and Material Science
- Teacher: Prof. Kallol Mondal
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/113104775)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/113104775)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

Phase diagram is the basis for understanding the behavior of materials under equilibrium. It has its importance in deciding the phase evolution with the variation of pressure, temperature and composition. Moreover, it helps in understanding the processing of the materials, mainly heat treatment. For material development as well as processing, one must have good knowledge in materials phase diagram.

Intended audience: Metallurgy, Materials Science, Ceramics, Chemical and Mechanical Engg.

Prerequisites: Metallurgical Thermodynamics and Phase Equilibria

## Lectures

1. [Lecture 1: Introduction- I](https://invisiblenetwork.ai/learn/nptel/113104775/8963ea69df23) (YouTube)
2. [Lecture 2: Introduction- II](https://invisiblenetwork.ai/learn/nptel/113104775/92cb1839cffa) (YouTube)
3. [Lecture 3: Definition of thermodynamic terms](https://invisiblenetwork.ai/learn/nptel/113104775/7bdc2af89060) (YouTube)
4. [Lecture 4: Understanding of thermodynamic equilibrium- I](https://invisiblenetwork.ai/learn/nptel/113104775/a6a97264f570) (YouTube)
5. [Lecture 5: Understanding of thermodynamic equilibrium- II](https://invisiblenetwork.ai/learn/nptel/113104775/9999bc313b68) (YouTube)
6. [Lecture 6: Understanding of thermodynamic equilibrium- III](https://invisiblenetwork.ai/learn/nptel/113104775/f9967eeab12b) (YouTube)
7. [Lecture 7: Concept of Entropy- I](https://invisiblenetwork.ai/learn/nptel/113104775/3716f5539630) (YouTube)
8. [Lecture 8: Concept of Entropy-II](https://invisiblenetwork.ai/learn/nptel/113104775/b4f85c0c212d) (YouTube)
9. [Lecture 9: Concept of Entropy- III](https://invisiblenetwork.ai/learn/nptel/113104775/cffd95ec50af) (YouTube)
10. [Lecture 10: Concept of equilibrium based on entropy and internal energy](https://invisiblenetwork.ai/learn/nptel/113104775/633a95b65cda) (YouTube)
11. [Lecture 11: Concept of equilibrium based on auxiliary functions](https://invisiblenetwork.ai/learn/nptel/113104775/63446899a621) (YouTube)
12. [Lecture 12: Equilibrium Condition- Helmholtz Free Energy](https://invisiblenetwork.ai/learn/nptel/113104775/7a4851656746) (YouTube)
13. [Lecture 13: Equilibrium Condition- Gibbs Free Energy](https://invisiblenetwork.ai/learn/nptel/113104775/6ec07b44bfd9) (YouTube)
14. [Lecture 14: Phase equilibria- consideration of chemical potential - I](https://invisiblenetwork.ai/learn/nptel/113104775/6e3e9fddad4f) (YouTube)
15. [Lecture 15: Phase equilibria- consideration of chemical potential- II](https://invisiblenetwork.ai/learn/nptel/113104775/56233e003eda) (YouTube)
16. [Lecture 16: Phase equilibria in H2O system- Clapeyron Equation](https://invisiblenetwork.ai/learn/nptel/113104775/1775e005d5ee) (YouTube)
17. [Lecture 17: Phase equilibria in H2O system- Practical examples and ∆G calculations for given T](https://invisiblenetwork.ai/learn/nptel/113104775/d0609c3987e1) (YouTube)
18. [Lecture 18: Phase equilibria in H2O system- Clausius-Clapeyron Equation](https://invisiblenetwork.ai/learn/nptel/113104775/f9c4cb8d422b) (YouTube)
19. [Lecture 19: Phase equilibria in H2O system- Hierarchy of Equilibrium/Stability- I](https://invisiblenetwork.ai/learn/nptel/113104775/3afa287eeebb) (YouTube)
20. [Lecture 20: Phase equilibria in H2O system- Hierarchy of Equilibrium/Stability- II](https://invisiblenetwork.ai/learn/nptel/113104775/f64225c0fde5) (YouTube)
21. [Lecture 21: Phase equilibria in H2O system- G vs P plot at constant Temperature](https://invisiblenetwork.ai/learn/nptel/113104775/197c153e5026) (YouTube)
22. [Lecture 22: Understanding the G vs. T Plot for the Iron (Fe)](https://invisiblenetwork.ai/learn/nptel/113104775/93da8f59a248) (YouTube)
23. [Lecture 23: Multicomponent Systems- Concept of Standard State](https://invisiblenetwork.ai/learn/nptel/113104775/5fa9bebf5386) (YouTube)
24. [Lecture 24: Multicomponent Systems- Mixing of Ideal Gases](https://invisiblenetwork.ai/learn/nptel/113104775/51b24a1771ea) (YouTube)
25. [Lecture 25: Multicomponent Systems- Calculation of ∆Hmix, ∆Gmix, and ∆Smix, for Ideal Gas Systems- I](https://invisiblenetwork.ai/learn/nptel/113104775/81a4de13aaac) (YouTube)
26. [Lecture 26: Multicomponent Systems- Calculation of ∆Hmix, ∆Gmix, and ∆Smix, for Ideal Gas Systems II](https://invisiblenetwork.ai/learn/nptel/113104775/c82424db016c) (YouTube)
27. [Lecture 27: Condensed Solution- Analysing Gibbs Free Energy of Mixing](https://invisiblenetwork.ai/learn/nptel/113104775/60acd266f6c0) (YouTube)
28. [Lecture 28: Condensed Solution- Understanding Raoult’s Law](https://invisiblenetwork.ai/learn/nptel/113104775/ea7866f0feda) (YouTube)
29. [Lecture 29: Condensed Solution- Understanding Henry’s Law](https://invisiblenetwork.ai/learn/nptel/113104775/372ecfd488d2) (YouTube)
30. [Lecture 30: Condensed Solution- Calculation of ∆Gmix](https://invisiblenetwork.ai/learn/nptel/113104775/304647f1de84) (YouTube)
31. [Lecture 31: Condensed Solution- Calculation of ∆Hmix, ∆Gmix, ∆Smix, and ∆Vmix](https://invisiblenetwork.ai/learn/nptel/113104775/b478e38fc967) (YouTube)
32. [Lecture 32: Condensed Solution- Understanding the Significance of ∆Hmix, ∆Gmix, ∆Smix, and ∆Vmix](https://invisiblenetwork.ai/learn/nptel/113104775/cb84fbeba491) (YouTube)
33. [Lecture 33: Condensed Ideal Solution- Graphical Representation of ∆Hmix, ∆Smix, and ∆Gmix.](https://invisiblenetwork.ai/learn/nptel/113104775/9fb834c0bd47) (YouTube)
34. [Lecture 34: Condensed Ideal Solution- Graphical Representation of ∆Gmix, ΔG̅MA and ΔG̅MB](https://invisiblenetwork.ai/learn/nptel/113104775/e34e341d72a2) (YouTube)
35. [Lecture 35: Condensed Ideal Solution- Graphical Representation of Gibbs Free Energy of Solution](https://invisiblenetwork.ai/learn/nptel/113104775/e2d6901f5d31) (YouTube)
36. [Lecture 36: Condensed Ideal Solution Graphical Representation of Partial Molar Gibbs Free Energy of Components in a Binary Solution - II](https://invisiblenetwork.ai/learn/nptel/113104775/8148bcde73d1) (YouTube)
37. [Lecture 37: Condensed Ideal Solution- Common Tangent and Concept of Equilibrium between Two Phases.](https://invisiblenetwork.ai/learn/nptel/113104775/181f94c13097) (YouTube)
38. [Lecture 38: Understanding Isomorphous Phase Diagram - I](https://invisiblenetwork.ai/learn/nptel/113104775/28a9a1747dc1) (YouTube)
39. [Lecture 39: Understanding Isomorphous Phase Diagram - II](https://invisiblenetwork.ai/learn/nptel/113104775/6deb8cd56e50) (YouTube)
40. [Lecture 40: Understanding Isomorphous Phase Diagram – Lever Rule and Fraction of Phases.](https://invisiblenetwork.ai/learn/nptel/113104775/c28ad6b4d525) (YouTube)
41. [Lecture 41: Calculation of Isomorphous Phase Diagram -I](https://invisiblenetwork.ai/learn/nptel/113104775/48c767e72da9) (YouTube)
42. [Lecture 42: Calculation of Isomorphous Phase Diagram -II](https://invisiblenetwork.ai/learn/nptel/113104775/d6af65c281e3) (YouTube)
43. [Lecture 43: Calculation of Isomorphous Phase Diagram -III](https://invisiblenetwork.ai/learn/nptel/113104775/60a932ac37ba) (YouTube)
44. [Lecture 44: Deviation from Ideality- Formation of Solution](https://invisiblenetwork.ai/learn/nptel/113104775/36bfb07808a8) (YouTube)
45. [Lecture 45: Non-Ideal Solution- Regular Solution Model and Expression of ∆Hmix](https://invisiblenetwork.ai/learn/nptel/113104775/5a5060e9ef35) (YouTube)
46. [Lecture 46: Non-Ideal Solution- Regular Solution Model and Expression of ∆Hmix - II](https://invisiblenetwork.ai/learn/nptel/113104775/64cca4c080a5) (YouTube)
47. [L47: Enthalpy of mixing (∆Hmix) and Gibbs Free Energy of Mixing (∆Gmix) -Deviation from Ideality - I](https://invisiblenetwork.ai/learn/nptel/113104775/82629015bc40) (YouTube)
48. [L48: Enthalpy of mixing (∆Hmix) and Gibbs Free Energy of Mixing (∆Gmix) -Deviation from Ideality- II](https://invisiblenetwork.ai/learn/nptel/113104775/8f2901e66965) (YouTube)
49. [L49: Enthalpy of mixing (∆Hmix) and Gibbs Free Energy of Mixing (∆Gmix) -Deviation from Ideality-III](https://invisiblenetwork.ai/learn/nptel/113104775/9cf14ba6c7b8) (YouTube)
50. [L50: Enthalpy of mixing (∆Hmix) and Gibbs Free Energy of Mixing (∆Gmix) -Deviation from Ideality- IV](https://invisiblenetwork.ai/learn/nptel/113104775/661a5aeaf223) (YouTube)
51. [Lecture 51: Enthalpy of mixing (∆Hmix) and Gibbs Free Energy of Mixing (∆Gmix)](https://invisiblenetwork.ai/learn/nptel/113104775/9b3397b309cf) (YouTube)
52. [Lecture 52: Enthalpy of mixing (∆Hmix) and Gibbs Free Energy of Mixing (∆Gmix)](https://invisiblenetwork.ai/learn/nptel/113104775/e956182329af) (YouTube)
53. [Lecture 53: Evolution of G-X Plot with Variation in Interaction Parameter (Ω)](https://invisiblenetwork.ai/learn/nptel/113104775/8591dded74c2) (YouTube)
54. [Lecture 54: Evolution of G-X Plot and associated Phase Diagram with Variation in Interaction Parameter (Ω) -I](https://invisiblenetwork.ai/learn/nptel/113104775/eae10a20868b) (YouTube)
55. [Lecture 55: Evolution of G-X Plot and associated Phase Diagram with Variation in Interaction Parameter (Ω) -II](https://invisiblenetwork.ai/learn/nptel/113104775/f0732b8bb2d2) (YouTube)
56. [Lecture 56: Evolution of G-X Plot and associated Phase Diagram with Variation in Interaction Parameter (Ω) -III](https://invisiblenetwork.ai/learn/nptel/113104775/58e59b10b00f) (YouTube)
57. [Lecture 57: Evolution of G-X Plot and associated Phase Diagram with Variation in Interaction Parameter (Ω) -IV](https://invisiblenetwork.ai/learn/nptel/113104775/b53793295bf5) (YouTube)
58. [Lecture 58: Understanding Eutectic Phase Diagram](https://invisiblenetwork.ai/learn/nptel/113104775/802a2f25995e) (YouTube)
59. [Lecture 59: Understanding Eutectic Phase Diagram and Partitioning and Partitionless Transformation](https://invisiblenetwork.ai/learn/nptel/113104775/cb6131630f85) (YouTube)
60. [Lecture 60: Understanding Eutectoid and Peritectic Phase Diagram](https://invisiblenetwork.ai/learn/nptel/113104775/33575e26c0dc) (YouTube)
61. [Lecture 61 Part A - Understanding Peritectic Phase Diagram](https://invisiblenetwork.ai/learn/nptel/113104775/25f35d50ccb7) (YouTube)
62. [Lecture 61 Part B: Understanding Complex Phase Diagrams and the Concept of Diffusion Phenomena](https://invisiblenetwork.ai/learn/nptel/113104775/7cacf72ecfa4) (YouTube)
63. [Lecture 62: Understanding Gibbs’ Phase Rule](https://invisiblenetwork.ai/learn/nptel/113104775/9d760818de2f) (YouTube)