Changeset 9ede123 in sasview


Ignore:
Timestamp:
Feb 1, 2012 12:35:12 PM (12 years ago)
Author:
Jae Cho <jhjcho@…>
Branches:
master, ESS_GUI, ESS_GUI_Docs, ESS_GUI_batch_fitting, ESS_GUI_bumps_abstraction, ESS_GUI_iss1116, ESS_GUI_iss879, ESS_GUI_iss959, ESS_GUI_opencl, ESS_GUI_ordering, ESS_GUI_sync_sascalc, costrafo411, magnetic_scatt, release-4.1.1, release-4.1.2, release-4.2.2, release_4.0.1, ticket-1009, ticket-1094-headless, ticket-1242-2d-resolution, ticket-1243, ticket-1249, ticket885, unittest-saveload
Children:
242aff5
Parents:
d9547e7
Message:

Added the linearpearlsmodel help doc

Location:
sansmodels/src/sans/models/media
Files:
3 added
1 edited

Legend:

Unmodified
Added
Removed

  • sansmodels/src/sans/models/media/model_functions.html

    r27f1ddb r9ede123  
    469469      <a href="#OnionExpShellModel">OnionExpShellModel</a>, <a 
    470470     href="#SphericalSLDModel">SphericalSLDModel</a>, <a 
     471     href="#LinearPearlsModel">LinearPearlsModel</a>, <a 
    471472     href="#PearlNecklaceModel">PearlNecklaceModel</a> 
    472473     , <a href="#CylinderModel">CylinderModel</a>, 
    … …  
    32493250<p class=MsoNormal>&nbsp;</p> 
    32503251<p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span 
    3251 style='font-size:14.0pt'>2.10.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
     3252style='font-size:14.0pt'>2.10A.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
     3253</span></b><b><a name=LinearPearlsModel><span style='font-size:14.0pt'>LinearPearlsModel</span></b></p> 
     3254 
     3255<p class=MsoNormal>&nbsp;</p> 
     3256 
     3257<p class=MsoNormal>This model provides the form factor for pearls linearly joined by short strings: N pearls (homogeneous spheres), 
     3258the radius R and the string segment length (or edge separation) l (= A- 2R)). 
     3259The A is the center to center pearl separation distance. The thickness of each string is assumed to be negligable.</p> 
     3260<p/> 
     3261<center><img src="linearpearls.jpg"></center> 
     3262<p class=MsoNormal>&nbsp;</p> 
     3263 
     3264<p class=MsoNormal style='margin-left:.85in;text-indent:-.35in'><b>1.1.</b><b><span 
     3265style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp; </span>Definition</b></p> 
     3266 
     3267<p class=MsoNormal>&nbsp;</p> 
     3268 
     3269<p class=MsoNormal>The output of the scattering intensity function for the 
     3270linearpearls model is given by (Dobrynin, 1996):</p> 
     3271 
     3272<p class=MsoNormal>&nbsp;</p> 
     3273 
     3274<p class=MsoNormal>&nbsp;</p> 
     3275 
     3276<p class=MsoNormal align=center style='text-align:center'><span 
     3277style='position:relative;top:15.0pt'><img  
     3278src="linearpearl_eq1.gif"></span>&nbsp; </p> 
     3279<p class=MsoNormal>&nbsp;</p> 
     3280<p class=MsoNormal>where the mass m<sub>p </sub> is (sld(of a pearl) – sld(of 
     3281solvent)) * (volume of the N pearls), V is the total volume.</p> 
     3282 
     3283<p class=MsoNormal>&nbsp;</p> 
     3284 
     3285<p class=MsoNormal>The 2D scattering intensity is the same as P(q) above, 
     3286regardless of the orientation of the q vector.</p> 
     3287 
     3288<p class=MsoNormal>&nbsp;</p> 
     3289 
     3290<p class=MsoNormal>The returned value is scaled to units of [cm<sup>-1</sup>] 
     3291and the parameters are the following:</p> 
     3292 
     3293<p class=MsoNormal>&nbsp;</p> 
     3294 
     3295<div align=center> 
     3296 
     3297<table class=MsoNormalTable border=0 cellspacing=0 cellpadding=0 
     3298 style='border-collapse:collapse'> 
     3299 <tr style='height:19.25pt'> 
     3300  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt; 
     3301  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3302  <p class=MsoBodyText>Parameter name</p> 
     3303  </td> 
     3304  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt; 
     3305  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3306  <p class=MsoBodyText>Units</p> 
     3307  </td> 
     3308  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt; 
     3309  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3310  <p class=MsoBodyText>Default value</p> 
     3311  </td> 
     3312 </tr> 
     3313 <tr style='height:19.25pt'> 
     3314  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt; 
     3315  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3316  <p class=MsoBodyText>scale</p> 
     3317  </td> 
     3318  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left: 
     3319  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; 
     3320  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3321  <p class=MsoBodyText>None</p> 
     3322  </td> 
     3323  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left: 
     3324  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; 
     3325  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3326  <p class=MsoBodyText>1.0</p> 
     3327  </td> 
     3328 </tr> 
     3329 <tr style='height:19.25pt'> 
     3330  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt; 
     3331  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3332  <p class=MsoBodyText>radius</p> 
     3333  </td> 
     3334  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left: 
     3335  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; 
     3336  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3337  <p class=MsoBodyText>Å</p> 
     3338  </td> 
     3339  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left: 
     3340  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; 
     3341  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3342  <p class=MsoBodyText>80.0</p> 
     3343  </td> 
     3344 </tr> 
     3345 <tr style='height:19.25pt'> 
     3346  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt; 
     3347  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3348  <p class=MsoBodyText>edge_separation</p> 
     3349  </td> 
     3350  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left: 
     3351  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; 
     3352  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3353  <p class=MsoBodyText>Å</p> 
     3354  </td> 
     3355  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left: 
     3356  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; 
     3357  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3358  <p class=MsoBodyText>350.0</p> 
     3359  </td> 
     3360 </tr> 
     3361 <tr style='height:19.25pt'> 
     3362  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt; 
     3363  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3364  <p class=MsoBodyText>num_pearls</p> 
     3365  </td> 
     3366  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left: 
     3367  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; 
     3368  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3369  <p class=MsoBodyText>(integer)</p> 
     3370  </td> 
     3371  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left: 
     3372  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; 
     3373  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3374  <p class=MsoBodyText>3</p> 
     3375  </td> 
     3376 </tr> 
     3377 <tr style='height:19.25pt'> 
     3378  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt; 
     3379  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3380  <p class=MsoBodyText>sld_pearl</p> 
     3381  </td> 
     3382  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left: 
     3383  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; 
     3384  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3385  <p class=MsoBodyText>Å<sup> -2</sup></p> 
     3386  </td> 
     3387  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left: 
     3388  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; 
     3389  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3390  <p class=MsoBodyText>1e-6</p> 
     3391  </td> 
     3392 </tr> 
     3393 <tr style='height:19.25pt'> 
     3394  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt; 
     3395  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3396  <p class=MsoBodyText>sld_solv</p> 
     3397  </td> 
     3398  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left: 
     3399  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; 
     3400  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3401  <p class=MsoBodyText>Å<sup> -2</sup></p> 
     3402  </td> 
     3403  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left: 
     3404  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; 
     3405  padding:0in 5.4pt 0in 5.4pt;height:19.25pt'> 
     3406  <p class=MsoBodyText>6.3e-6</p> 
     3407  </td> 
     3408 </tr> 
     3409 <tr style='height:20.0pt'> 
     3410  <td width=143 valign=top style='width:107.0pt;border:solid windowtext 1.0pt; 
     3411  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:20.0pt'> 
     3412  <p class=MsoBodyText>background</p> 
     3413  </td> 
     3414  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left: 
     3415  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; 
     3416  padding:0in 5.4pt 0in 5.4pt;height:20.0pt'> 
     3417  <p class=MsoBodyText>cm<sup>-1</sup></p> 
     3418  </td> 
     3419  <td width=143 valign=top style='width:107.0pt;border-top:none;border-left: 
     3420  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; 
     3421  padding:0in 5.4pt 0in 5.4pt;height:20.0pt'> 
     3422  <p class=MsoBodyText>0.0</p> 
     3423  </td> 
     3424 </tr> 
     3425</table> 
     3426 
     3427</div> 
     3428 
     3429<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p> 
     3430 
     3431<p class=MsoNormal align=center style='text-align:center'><img  
     3432src="linearpearl_plot.jpg"></p> 
     3433 
     3434<p class=MsoNormal align=center style='text-align:center'>&nbsp;</p> 
     3435 
     3436<p class=MsoNormal>&nbsp;</p> 
     3437 
     3438<p class=MsoNormal>REFERENCE</p> 
     3439 
     3440<p class=MsoNormal>A. V. Dobrynin, M. Rubinstein and S. P. Obukhov, 
     3441 Macromol. 29, 2974-2979, 1996.</p> 
     3442 
     3443 
     3444<p class=MsoNormal>&nbsp;</p> 
     3445 
     3446<p class=MsoNormal>&nbsp;</p> 
     3447<p class=MsoNormal style='margin-left:.55in;text-indent:-.3in'><b><span 
     3448style='font-size:14.0pt'>2.10B.</span></b><b><span style='font-size:7.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
    32523449</span></b><b><a name=PearlNecklaceModel><span style='font-size:14.0pt'>PearlNecklaceModel</span></b></p> 
    32533450 
    … …  
    33213518 
    33223519<p class=MsoNormal>The returned value is scaled to units of [cm<sup>-1</sup>] 
    3323 and the parameters of the sphere model are the following:</p> 
     3520and the parameters are the following:</p> 
    33243521 
    33253522<p class=MsoNormal>&nbsp;</p> 
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