Dear Armel, Thank you very much for your reply. But I am not getting the paper "Bertaut F., C.R. Acad Sci. Paris, 228 (1949) 492." which you have referred. Can you please send a copy of the paper.
With best regards, Apu **************************************************** Apu Sarkar Research Fellow Variable Energy Cyclotron Centre Kolkata 700 064 phone: 91-33-2337-1230 (extn. 3190) Fax: 91-33-2334-6871 INDIA **************************************************** ----- Original Message ----- From: Armel Le Bail <[EMAIL PROTECTED]> Date: Thursday, April 15, 2004 10:21 pm > > >Can anybody tell me what do the terms area weighted domain size > >and volume weighted domain size physically mean. > >How to understand these two concepts of domain sizes physically. > > Bertaut and Warren considered columns of cells along a given > hkl direction and defined a P(M) distribution corresponding to the > numerical proportion of columns having the length M (this > being equivalent to the proportion of area at the extremity > of the columns having the length M). The mean size <M> > is the ratio of the volume of all the coherently diffracting domains > to the surface of their projection on the (hkl) plane considered. > That area-weighted domain size is the average of the P(M) > distribution : > <M> = S M P(M) / S P(M) > (S for Summation between 0 and the maximal length). > > From P(M), a volume-weighted distribution is defined as > G(M) = M P(M) / <M> (this being verified if S G(M) = S P(M) = 1). > The mean of G(M) is the volume-weighted domain size (if you > multiply the column area by its length, you obtain its volume) : > <M1> = S M G(M) / S G(M) > > Hope this is not even more confusing. > > Integral breadth gives the volume-weighted size <M1>. > > For some special size distributions P(M), there could be > a direct relations between <M> and <M1>. For instance > <M1> = 2<M> when the size distribution P(M) is Cauchy-like. > > If I am not wrong again... > > Armel > > References : > Bertaut F., C.R. Acad Sci. Paris, 228 (1949) 492. > Bertaut E.F., Acta Cryst. 3 (1950) 14. > Warren B.E. and Averbach B.L., J. Appl. Phys. 21 (1950) 585. > > >
