ECE 695A Lecture 34: Scaling Theory of Design of Experiments

By Muhammad Alam

Electrical and Computer Engineering, Purdue University, West Lafayette, IN

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Abstract

Outline:

  • Introduction
  • Buckingham PI Theorem
  • An Illustrative Example
  • Recall the scaling theory of HCI, NBTI, and TDDB
  • Conclusions

 

Cite this work

Researchers should cite this work as follows:

  • Muhammad Alam (2013), "ECE 695A Lecture 34: Scaling Theory of Design of Experiments," https://nanohub.org/resources/17617.

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Location

EE 226, Purdue University, West Lafayette, IN

Tags

  1. course lecture
  2. experiments
  3. reliability
ECE 695A Lecture 34: Scaling Theory of Design of Experiments
  • Lecture 34: Scaling Theory of Design of Experiments 1. Lecture 34: Scaling Theory of … 0
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  • Outline 2. Outline 236.10276943610279
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  • Problem definition 3. Problem definition 319.18585251918586
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  • Buckingham PI Theorem 4. Buckingham PI Theorem 567.13380046713382
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  • Buckingham PI Theorem 5. Buckingham PI Theorem 640.54054054054052
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  • To determine PI … 6. To determine PI … 737.40407073740414
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  • Recall the dimensions of variables 7. Recall the dimensions of varia… 807.77444110777446
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  • Outline 8. Outline 968.56856856856859
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  • Illustrative Example 9. Illustrative Example 970.43710377043715
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  • Example: Any nonzero determinant for P 10. Example: Any nonzero determina… 1123.7237237237239
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  • Physical Meaning of the exponent matrix 11. Physical Meaning of the expone… 1410.2769436102769
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  • Example continued … 12. Example continued … 1522.7227227227229
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  • Example: Any nonzero determinant for P 13. Example: Any nonzero determina… 1652.2522522522522
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  • Example: Any nonzero determinant for P 14. Example: Any nonzero determina… 1730.9976643309976
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  • Plotting with dimensionless variables 15. Plotting with dimensionless va… 1818.2849516182851
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  • Outline 16. Outline 2053.4868201534869
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  • Recall: Time Exponent of Si-H dissociation 17. Recall: Time Exponent of Si-H … 2166.9336002669338
    00:00/00:00
  • Universal Scaling for SiH Bonds 18. Universal Scaling for SiH Bond… 2221.7550884217553
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  • Discussion 19. Discussion 2273.4734734734734
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  • Conclusions 20. Conclusions 2543.5435435435438
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  • References 21. References 2913.48014681348
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