Elementary Stereology for Quantitative Metallography

By Prof. Sandeep Sangal, Prof. Sankaran.S   |   IIT Kanpur, IIT Madras
Learners enrolled: 129
Quantitative metallography or stereology is concerned with the measurement of microstructural features such as grain size, and the size and spatial distribution of second phase particles from the observations made on 2-D sections through optical, scanning and transmission electron microscopy. In all cases a small sample section or thin slice of material is observed in order to derive the microstructural characteristic of a bulk material. Stereology is therefore concerned with geometrical probability.

INTENDED AUDIENCE: Anyone who is interested in the quantification of microstructures

INDUSTRY SUPPORT:  All materials related industries and Pathologists, Bio technologists
Course Status : Completed
Course Type : Elective
Duration : 4 weeks
Category :
  • Metallurgy and Material science & Mining Engineering
  • Materials Characterization
Credit Points : 1
Level : Undergraduate/Postgraduate
Start Date : 26 Jul 2021
End Date : 20 Aug 2021
Enrollment Ends : 09 Aug 2021
Exam Date : 26 Sep 2021 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1  : Method of Stereology ,Geometrical Probability - I ,Geometrical Probability II
Week 2  : Probability Distributions ,Basic Stereological Parameters
Week 3  : Counting of grains and particles ,Description of Polycrystalline Microstructures derived measures
Week 4  :  Size distribution of particles ,Other applications of the Disector

Books and references

1.Practical stereology: J.C.Russ and R.T. Dehoff, (2nd edn., 2000),Plenum press, NY, USA 
2.Worked examples in quantitative metallography: R.L.Higginson and C.M.Sellars (1st edn., 2003) Maney Publishing, London, UK 
3.The quantitative description of the microstructure of materials: K.J. Kurzydlowski and Brian Ralph, 1995, CRC press, FL, USA 
4.Erwin Kreyszig, Advanced Engineering Mathematics, Chapters 23 & 24 on Probability and Mathematical Statistics  
5.John C. Russ and Robert T. Dehoff, Practical Stereology, second edition, Springer, 1986 
6.Ervin E. Underwood, Quantitative Stereology, Addison-Wesley, 1970  
7.Robert T. Dehoff and Rhines, Quantitative Microscopy, McGraw Hill, 1968 
8.M.G. Kendall and P.A.P. Moran, Geometical Probability, Hafner Publishing Co., NY, 1963  
9.P.J. Goodhew and F.J. Humphreys, Electron Microscopy and Analysis, Chapter 1 for elementary study of imaging principles of a microscope  
10.R. C. Gonzalez and R.E. Woods, Digital Image Processing  
11.Ewald R. Weibel, Stereological Methods: Practical Methods for Biological Morphometry, Vol. 1, Academic Press, 1980  
12.Ewald R. Weibel, Stereological Methods: Theoretical Foundations, Vol. 2, Academic Press, 1980

Instructor bio

Prof. Sandeep Sangal

IIT Kanpur
Prof. Sandeep Sangal is Professor at Department of Materials Science and Engineering, IIT Kanpur and his research interests are Structure-Property Correlations, Microstructural Characterization, Stereology, Image Processing, Development of Web-Based Educational Aids

Prof. Sankaran.S

IIT Madras
Dr. S. Sankaran is presently Professor in the department of Metallurgical and Materials Engineering, IIT Madras. His research interests are deformation processing of materials, mechanical behavior of materials and electron microscopy. He is also presently the faculty in-charge of central electron microscopy of IIT Madras.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 26 September 2021 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.


Average assignment score = 25% of average of best 3 assignments out of the total 4 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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