Test_1_Formula_Sheet

# Test_1_Formula_Sheet - = nA VcNa density n= number of atoms...

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ρ= nA / VcNa density Attractive Force : Attractive energy: Miller Indices - do not take reciprocal [1 1 1] n= number of atoms F= A/r ² E= -A/r planes take reciprocal than multiple (1 1 1) A=atomic weight A= 1 x (Z1x ) Z2x ) ρ bcc=2/a ³ d=a/ √h ²+k²+l² n λ =2dsin uni04e9 n=1 Vc=Volume of unit cell (4 пε ) ρ fcc=4/ a ³ d=spacing between plates Na=6.023e23 ε =8.85e-12 Z=valence of the ions HCP - c/a=1.633 N v =N x e^(-Q v /RT) Number of vacancies per cm³ BCC barb4right ρ = .16/R³ R=8.31 or K=8.62e-5 N=Na x ρ /Acu/fe/al FCC barb4right ρ = .177/R³ Q v =energy in J or e/v 1 cal = 4.184 Joules Computation of Wt% Computation of At% Wt% to At% At% to Wt% C 1 =m 1 / ( m 1 + m 2 )x100 C 1 =n m1 / ( n m1 + n m2 )x100 C 1 = C 1 A 2 /( C 1 A 2 + C 2 A 1 )x100 C 1 = C 1 A 1 /( C 1 A 1 + C 2 A 2 )x100 Wt% to Mass per unit vol. Computation of ρ for 2 elem. Computation of At. Weight for 2 elem. C ′′ 1 = C 1 / ((C 1 / ρ 1 )+(C 2 / ρ 2 )) x1000 = Kg/m ³ ρ ave =100 / ((C 1 / ρ 1 )+(C 2 / ρ 2 )) A ave = 100 / ((C 1 / A 1 ) + (C 2 / A 2 )) ρ ave = (C 1 A 1 + C 1 A 1 ) / (( C 1 A 1 / ρ 1 )+( C 2 A 2 / ρ 2 )) A ave = (C 1 A 1 + C 2 A 2 ) / 100 C 1 = weight % C ′′ 1 = mass per unit volume C 1 = atom % Grain size N = 2^(n-1) = n = (log(N) / Log(2)) +1 Diffusion Flux Definition: Fick’s 1 st law dif. Ф Nm = 2^(n-1) x ( M /100)² J = M / At J = -D (dc / dx) = -D x (Ca-Cb/Xa-Xb) barb4right Kg/m² -s or atoms/ m² -s N= grains per square inch A = Area where Diffusion occurs D = D 0 e^(-Q d / RT) barb4right Q d = activation energy J/mol or V/atom n = grain size number M = Mass or # of Atoms dc = concentration gradient R = 8.31J/mol.K or 8.62E-5 Nm = Different Mag. J = diffusion flux or rate of mass transfer D
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