Calculate the flux (J) Between points x and y

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SUMMARY

The discussion focuses on calculating the flux (J) of nickel (Ni) diffusion in face-centered cubic (FCC) iron (Fe) at a temperature of 1000°C. The concentration of Ni at point x is 0.3 atoms % and at point y, 1 mm away, it is 0.2 atoms %. The diffusion coefficient (D) is given as 2ε-16 M²/s. The flux is calculated using the equation J = -D(dc/dx), but the necessary values for Δc and Δx were not correctly applied, leading to an incomplete solution. The correct calculation requires accurate concentration differences and distance measurements.

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  • Understanding of diffusion principles in solid solutions
  • Familiarity with face-centered cubic (FCC) crystal structures
  • Knowledge of the equation for flux (J = -D(dc/dx))
  • Basic concepts of concentration gradients in materials science
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alevis
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The diffusion of Ni in FCC Fe. There is 0.3 atoms % of Ni in a solid solution in FCC Fe @ point x.
Point y is 1 mm away and has 0.2 atoms % of Ni within the solid solution.
Temperature = 1000° C, D = 2ε-16M2/s

Calculate the flux (J) between points x & y.
Radius of Fe atom = 0.13 nm @ 1000°C; a = 0.37nm.

ATTEMPT AT A SOLUTION
Ni is FCC
4 atoms in unit cell of FCC. a= 4T/(√3)
# Atoms = 8*1028

J = -D(dc/dx)
Δc = 1.6e26-2.4e26
Δx = 1mm = 1*10^-6 nm
J = -1.6e25 is this right?
 
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The correct answer is not provided, as this problem requires additional information in order to be solved. The equation for the flux (J) is J = -D(dc/dx). The equation still needs to be filled in with information such as the diffusion coefficient (D) and the change in concentration (Δc). With that information, the flux can be calculated.
 

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