Thank you all for kind replies.

Following the advices, I ran FullProf putting ATZ=0 for both phases and I got 
the consistent weight fractions with my calculation using 
Wp=S_p(ZMV)_p/ΣS_i(ZMV)_i.
Actually I found a description about ATZ=0 in fp2k.inf after getting replies. I 
am sorry for forgetting to do this before ask.

I still can not get the idea of ATZ even after Carlos’s explanation "Atz is the 
mass of the unit cell in atomic units."
What does “f”’ in the manual actually mean? and why is “f" squared in the 
definition of ATZ?
I don’t understand what "their true value” is.

> Carlos 
I always use Ns/Ng for occupancies because I was taught to do so.
I thought everyone uses normalized occupancies but it seems I was wrong judging 
from your advice.

> Patrick
Thanks for the caution. That may relate to my case because one of the two 
phases contains substituted atoms.
I found a description below in July 4th 2011 update of fp2k.inf.
>   - In the new version of FullProf the calculation of ATZ takes into account 
> the first and second
>      atom of the list. In a compound with all sites partially occupied, it is 
> supposed that the two
>      first atoms are in the same site and occupy fully the site. In this case 
> the value of ATZ is
>      correctly calculated.
For my case, there are nine sites and two of those are occupied by two kinds of 
atoms (Nat=11).
And I want to refine their occupancies to know the site preference.
The two sites are placed in the head of the atom list like below.
!Atom … Occ 
A1 … 0.22000
B1 … 0.03000
A2 … 0.22000
B2 … 0.03000
C … 
D … 
Occupancies for site 1 and site 2 are set to maintain the normalized occupancy 
0.25 using codewords.
I think this does not violate your caution and the description in fp2k.inf.

Maybe I should not ask why (only?) the first atom needs to be fully occupied… 

//================//================//
  Kotaro SAITO
  High Energy Accelerator Research Organization
  Institute of Materials Structure Science
  1-1 Oho, Tsukuba, Ibaraki, 305-0801, Japan
//================//================//

> 
>  
> From: rietveld_l-requ...@ill.fr [mailto:rietveld_l-requ...@ill.fr] On Behalf 
> Of Kotaro SAITO
> Sent: den 24 februari 2015 11:53
> To: Rietveld_l@ill.fr
> Subject: Quantitative phase analysis on FullProf
>  
> Dear Rietvelders,
> 
> Does anyone know how FullProf calculates weight fractions “Fract(%)” in a 
> .sum file? or Is there any known bugs for calculating ATZ?
> 
> According to the manual, it seems that ATZ is used for calculating the 
> values... but no further information is written in the manual.
> I am also wondering, in my case, why different phases have the exact same 
> value for ATZ. It should be different for different materials from the 
> definition in the manual.
> Here are the related descriptions in my .out file.
>         Phase 1
>         => The given value of ATZ is        688.48 the program has 
> calculated:        4345.96
>         Phase 2
>         => The given value of ATZ is        688.48 the program has 
> calculated:         576.91
> I confirmed that 4345.96 and 576.91 seem to be Z*Mw
> 
> I calculated the weight fractions using the values in the sum file and a 
> equation Wp=S_p(ZMV)_p/ΣS_i(ZMV)_i (R. J. Hill and C. J. Howard, J Appl. 
> Cryst., 20, 467-474), and ended up in getting quite different fractions from 
> those in the .sum file. I got 97.3% and 2.7% with my calculation and the 
> values in the .sum file are like this.
>         Phase 1
>         => Bragg R-factor:   2.74       Vol:  941.374( 0.009)  Fract(%):   
> 82.46( 0.85)
>         => Rf-factor=  1.81             ATZ:         688.475   Brindley:  
> 1.0000
>         Phase 2
>         => Bragg R-factor:   7.65       Vol:  137.093( 0.079)  Fract(%):   
> 17.54( 0.97)
>         => Rf-factor=  5.35             ATZ:         688.475   Brindley:  
> 1.0000
> 
> 
> When I ran an example pcr for quantitative phase analysis in Examples 
> (si3n4r.pcr), I got ATZ and weight fractions below
> Si3N4 alpha
>  => The given value of ATZ is        560.00 the program has calculated:       
>   561.14
> Si3N4 beta
>  => The given value of ATZ is        280.00 the program has calculated:       
>   280.57
> 
>  => Phase:  1      Si3 N4 alpha
>  => Bragg R-factor:  0.969       Vol:  292.623( 0.016)  Fract(%):   92.88( 
> 0.44)
>  => Rf-factor= 0.600             ATZ:         560.000   Brindley:  1.0000
> 
>  => Phase:  2      Si3 N4 beta
>  => Bragg R-factor:   2.26       Vol:  145.711( 0.027)  Fract(%):    7.12( 
> 0.09)
>  => Rf-factor=  1.09             ATZ:         280.000   Brindley:  1.0000
> 
> and the these fractions are consistent with those derived from the equation 
> Wp=S_p(ZMV)_p/ΣS_i(ZMV)_i.
> 
> I would like to know which weight fractions I should trust for my case…
> 
> Best regards,
> 
> Kotaro
> 
> //================//================//
>   Kotaro SAITO
>   High Energy Accelerator Research Organization
>   Institute of Materials Structure Science
>   1-1 Oho, Tsukuba, Ibaraki, 305-0801, Japan
> //================//================//
> 
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