Dear colleagues,

 

I would like to estimate the dislocation density in a fcc material via the
Willianson and Smallman equation, which is 

 

g = (g_e*g_D)^0.5 = 2*(3^0.5)*(e^2)^0.5/(b*D)

 

where g is the dislocation density, e^2 is the root-mean-square lattice
microstrain, b is the Burgers vector and D is the crystallite size. In
addition, g_e is the dislocation density estimated from the lattice
microstrain and g_D the dislocation density estimated exclusively from the
crystallite sizes. My question is: which are the individual expressions for
g_e and g_D. I found in the literature, for example that g_D  = 1/D^2, or
that g_D = 3/D^2. I am not clear about this. Can anyone shed light on this
issue?. Thanks in advance. Also, can anyone send me the pdf file of the
original works of Willianson and Smallman published in Phy. Magazine. 

 

Thanks,

 

Angel 

 

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