Changeset 93fe8a1 in sasmodels


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Timestamp:
Oct 25, 2018 9:15:03 AM (3 weeks ago)
Author:
smk78
Branches:
master, beta_approx, cuda-test, py3, ticket-1015-gpu-mem-error, ticket-1015-quick-fix, ticket-1157, ticket-608-user-defined-weights, ticket_1156
Children:
df87acf
Parents:
dcc51ee
Message:

Updated spinodal documentation

File:
1 edited

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  • sasmodels/models/spinodal.py

    r475ff58 r93fe8a1  
    1212where $x=q/q_0$, $q_0$ is the peak position, $I_{max}$ is the intensity  
    1313at $q_0$ (parameterised as the $scale$ parameter), and $B$ is a flat  
    14 background. The spinodal wavelength is given by $2\pi/q_0$.  
     14background. The spinodal wavelength, $\Lambda$, is given by $2\pi/q_0$.  
     15 
     16The definition of $I_{max}$ in the literature varies. Hashimoto *et al* (1991)  
     17define it as  
     18 
     19.. math:: 
     20    I_{max} = \Lambda^3\Delta\rho^2 
     21     
     22whereas Meier & Strobl (1987) give  
     23 
     24.. math:: 
     25    I_{max} = V_z\Delta\rho^2 
     26     
     27where $V_z$ is the volume per monomer unit. 
    1528 
    1629The exponent $\gamma$ is equal to $d+1$ for off-critical concentration  
     
    2841 
    2942H. Furukawa. Dynamics-scaling theory for phase-separating unmixing mixtures: 
    30 Growth rates of droplets and scaling properties of autocorrelation functions. 
    31 Physica A 123,497 (1984). 
     43Growth rates of droplets and scaling properties of autocorrelation functions.  
     44Physica A 123, 497 (1984). 
     45 
     46H. Meier & G. Strobl. Small-Angle X-ray Scattering Study of Spinodal  
     47Decomposition in Polystyrene/Poly(styrene-co-bromostyrene) Blends.  
     48Macromolecules 20, 649-654 (1987). 
     49 
     50T. Hashimoto, M. Takenaka & H. Jinnai. Scattering Studies of Self-Assembling  
     51Processes of Polymer Blends in Spinodal Decomposition.  
     52J. Appl. Cryst. 24, 457-466 (1991). 
    3253 
    3354Revision History 
     
    3556 
    3657* **Author:**  Dirk Honecker **Date:** Oct 7, 2016 
    37 * **Revised:** Steve King    **Date:** Sep 7, 2018 
     58* **Revised:** Steve King    **Date:** Oct 25, 2018 
    3859""" 
    3960 
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