Changeset cb97bff in sasmodels for sasmodels/models/mono_gauss_coil.py


Ignore:
Timestamp:
Mar 16, 2016 4:59:52 PM (8 years ago)
Author:
smk78
Branches:
master, core_shell_microgels, costrafo411, magnetic_model, release_v0.94, release_v0.95, ticket-1257-vesicle-product, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
Children:
310ddcb, bf227cd
Parents:
38d2c97 (diff), 5be92e8 (diff)
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Message:

Merge branch 'master' of https://github.com/SasView/sasmodels

Conflicts:

sasmodels/models/adsorbed_layer.py

File:
1 edited

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  • sasmodels/models/mono_gauss_coil.py

    r38d2c97 rcb97bff  
    66 
    77r""" 
    8 This model strictly describes the scattering from *monodisperse* polymer chains in theta solvents or polymer melts, conditions under which the distances between segments follow a Gaussian distribution. Provided the number of segments is large (ie, high molecular weight polymers) the single-chain Form Factor P(Q) is that described by Debye (1947). 
     8This model strictly describes the scattering from *monodisperse* polymer chains in theta solvents or polymer melts, conditions under which the distances between segments follow a Gaussian distribution. Provided the number of segments is large (ie, high molecular weight polymers) the single-chain form factor P(Q) is that described by Debye (1947). 
    99 
    1010To describe the scattering from *polydisperse* polymer chains, see the poly_gauss_coil model. 
     
    1313---------- 
    1414 
    15      *I(q)* = *scale* x *P(q)* + *background* 
     15     *I(q)* = *scale* |cdot| *P(q)* + *background* 
    1616          
    1717where 
    1818 
    19      *scale* = |phi|\ :sub:`poly` x *V* x (|rho|\ :sub:`poly` - |rho|\ :sub:`solv`)\ :sup:'2' 
     19     *scale* = |phi|\ :sub:`poly` |cdot| *V* |cdot| (|rho|\ :sub:`poly` - |rho|\ :sub:`solv`)\  :sup:`2` 
    2020 
    21      *P(q)* = 2 [exp(-Z) + Z - 1] / Z\ :sup:'2' 
     21     *P(q)* = 2 [exp(-Z) + Z - 1] / Z \ :sup:`2` 
    2222          
    23          *Z* = (*q R*\ :sub:'g')\ :sup:'2' 
     23         *Z* = (*q R* \ :sub:`g`)\ :sup:`2` 
    2424 
    2525and 
    2626 
    27          *V* = *M* / (*N*\ :sub:'A' |delta|) 
     27         *V* = *M* / (*N*\ :sub:`A` |delta|) 
    2828          
    29 Here, |phi|\ :sub:`poly`, is the volume fraction of polymer, *V* is the volume of a polymer coil, *M* is the molecular weight of the polymer, *N*\ :sub:'A' is Avogadro's Number, |delta| is the bulk density of the polymer, |rho|\ :sub:`poly` is the sld of the polymer, |rho|\ :sub:`solv` is the sld of the solvent, and *R*\ :sub:'g' is the radius of gyration of the polymer coil. 
     29Here, |phi|\ :sub:`poly` is the volume fraction of polymer, *V* is the volume of a polymer coil, *M* is the molecular weight of the polymer, *N*\ :sub:`A` is Avogadro's Number, |delta| is the bulk density of the polymer, |rho|\ :sub:`poly` is the sld of the polymer, |rho|\ :sub:`solv` is the sld of the solvent, and *R*\ :sub:`g` is the radius of gyration of the polymer coil. 
    3030 
    3131.. figure:: img/mono_gauss_coil_1d.jpg 
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