Changeset 529b8b4 in sasmodels


Ignore:
Timestamp:
Feb 27, 2015 5:49:48 AM (10 years ago)
Author:
Paul Kienzle <pkienzle@…>
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:
a5d0d00
Parents:
0e20995
Message:

use latex to render hard sphere equations

Location:
sasmodels/models
Files:
1 deleted
1 edited
1 moved

Legend:

Unmodified
Added
Removed
  • sasmodels/models/hardsphere.py

    r301e096 r529b8b4  
    11# Note: model title and parameter table are inserted automatically 
    2 r"""This calculates the interparticle structure factor for monodisperse spherical particles interacting through hard 
    3 sphere (excluded volume) interactions. 
     2r"""Calculate the interparticle structure factor for monodisperse 
     3spherical particles interacting through hard sphere (excluded volume) 
     4interactions. 
    45 
    5 The calculation uses the Percus-Yevick closure where the interparticle potential is 
     6The calculation uses the Percus-Yevick closure where the interparticle 
     7potential is 
    68 
    7 .. image:: img/HardSphere_223.PNG 
     9.. math: 
     10 
     11    U(r) = \begin{cases} 
     12    \infty & r < 2R \\ 
     13    0 & r \geq 2R 
     14    \end{cases} 
    815 
    916where *r* is the distance from the center of the sphere of a radius *R*. 
     
    1320.. math:: 
    1421 
    15     Q = \sqrt{Q_x^2 + Q_y^2} 
     22    q = \sqrt{q_x^2 + q_y^2} 
    1623 
    1724 
    18 ==============  ========  ============= 
    19 Parameter name  Units     Default value 
    20 ==============  ========  ============= 
    21 effect_radius   |Ang|     50.0 
    22 volfraction     None      0.2 
    23 ==============  ========  ============= 
    24  
    25 .. image:: img/HardSphere_224.jpg 
     25.. image:: img/HardSphere_1d.jpg 
    2626 
    2727*Figure. 1D plot using the default values (in linear scale).* 
     
    3939        [Hard sphere structure factor, with Percus-Yevick closure] 
    4040        Interparticle S(Q) for random, non-interacting spheres. 
    41                 May be a reasonable approximation for other shapes of 
    42                 particles that freely rotate, and for moderately polydisperse 
     41        May be a reasonable approximation for other shapes of 
     42        particles that freely rotate, and for moderately polydisperse 
    4343        systems. Though strictly the maths needs to be modified -  
    44                 which sasview does not do yet. 
    45                 effect_radius is the hard sphere radius 
    46                 volfraction is the volume fraction occupied by the spheres. 
     44        which sasview does not do yet. 
     45        effect_radius is the hard sphere radius 
     46        volfraction is the volume fraction occupied by the spheres. 
    4747""" 
    4848 
     
    9696Iqxy = """ 
    9797    // never called since no orientation or magnetic parameters. 
    98     return -1.0; 
     98    return Iq(sqrt(qx*qx+qy*qy), IQ_PARAMETERS); 
    9999    """ 
    100100 
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