Material Science: Monovacancy Concentration

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SUMMARY

The monovacancy formation energy for a metal is established at 80 kJ/mol, leading to a calculated monovacancy concentration (CV) of approximately 9.5x10^-15 at 25 degrees Celsius. The correct answer to the posed homework question is option B. To derive this concentration, one must utilize the Boltzmann factor, which relates the formation energy to temperature and vacancy concentration. This discussion emphasizes the importance of understanding thermodynamic principles in material science.

PREREQUISITES
  • Understanding of monovacancy concepts in material science
  • Familiarity with Boltzmann statistics
  • Knowledge of thermodynamic principles
  • Basic proficiency in calculating concentrations using formation energy
NEXT STEPS
  • Study the Boltzmann factor and its applications in material science
  • Learn about vacancy formation energies in different metals
  • Explore thermodynamic principles related to defect concentrations
  • Research the impact of temperature on monovacancy concentrations
USEFUL FOR

Material scientists, students studying thermodynamics, and researchers focusing on defect structures in metals will benefit from this discussion.

flyfisher117
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Homework Statement


The Monovacancy formation energy of a metal is 80 kJ/mol. Hence the monovacancy concentration (CV) at 25 degrees celsius is about:

A)1.3x10^-13
B)9.5x10^-15
C).9
D)5x10^15

The Attempt at a Solution



I know the answer is B but I don't know how to get to that. I have no book for this course (professor told us not to worry about getting it because everything we need will either be given in lecture or found on the internet).

I don't have any notes on this and google is not returning anything helpful.

I was wondering if someone would be willing to walk me through how to solve this problem.
 
Physics news on Phys.org
What is the formation energy per vacancy? What is the average energy per degree of freedom? You just need the Boltzmann factor.
 

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