Estimating Energy to Remove Atom from Lattice Vacancies in Silver

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SUMMARY

The discussion focuses on estimating the energy required to remove an atom from the interior of the crystal lattice of silver, which has a melting point of 962°C and an intrinsic relative concentration of lattice vacancies at 3 x 107. The participant suggests that the concentration of vacancies is proportional to exp(-E/kT), where E represents the energy needed for atom removal, k is the Boltzmann constant, and T is the temperature in Kelvin. They propose using the melting point as a reference for when vacancy concentration reaches unity, indicating a direct relationship between temperature and vacancy formation energy.

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Gorion
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Hello everyone;
I have little problem about a question.
Code:
If silver melts at 962C and contains an intrinsic relative concentration of 3  107 of lattice
vacancies, estimate the energy required to remove an atom from the interior of the crystal lattice.
I don't even have a idea how to solve this.
Could you give me a hint ?

Thank you for your time.
 
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My first guess is that the concentration of vacancies is proportional to exp(-E/kT), where E is the energy required to remove an atom from the interior of the crystal lattice.

For the purpose of a crude approximation, I think the melting point can be interpreted as the temperature at which the vacancy concentration becomes order unity.

Does this make sense to you?
 
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