Changeset c5442fb in sasview for src/sans/models/media/model_functions.rst
- Timestamp:
- Apr 4, 2014 1:15:23 PM (11 years ago)
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src/sans/models/media/model_functions.rst (modified) (25 diffs)
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src/sans/models/media/model_functions.rst
reacf6a8c rc5442fb 267 267 268 268 269 .. _R eferences:269 .. _REFERENCE 270 270 271 271 3. References 272 272 ------------- 273 273 274 *Small-Angle Scattering of X-Rays* 274 275 A. Guinier and G. Fournet … … 448 449 From the reference 449 450 450 The "fuzziness" of the interface is defined by the parameter |sigma| :sub:`fuzzy`\ . The particle radius *R*451 represents the radius of the particle where the scattering length density profile decreased to 1/2 of the core452 density. The |sigma| :sub:`fuzzy`\ is the width of the smeared particle surface; i.e., the standard deviation453 from the average height of the fuzzy interface. The inner regions of the microgel that display a higher density454 are described by the radial box profile extending to a radius of approximately *Rbox* ~ *R* - 2\ |sigma|\ . The455 profile approaches zero as *Rsans* ~ *R* + 2\ |sigma|\ .451 The "fuzziness" of the interface is defined by the parameter |sigma| :sub:`fuzzy`\ . The particle radius *R* 452 represents the radius of the particle where the scattering length density profile decreased to 1/2 of the core 453 density. The |sigma| :sub:`fuzzy`\ is the width of the smeared particle surface; i.e., the standard deviation 454 from the average height of the fuzzy interface. The inner regions of the microgel that display a higher density 455 are described by the radial box profile extending to a radius of approximately *Rbox* ~ *R* - 2\ |sigma|\ . The 456 profile approaches zero as *Rsans* ~ *R* + 2\ |sigma|\ . 456 457 457 458 For 2D data: The 2D scattering intensity is calculated in the same way as 1D, where the *q* vector is defined as … … 4539 4540 *Figure. 1D plot using the default values (w/200 data point).* 4540 4541 4541 R eferences:4542 REFERENCE 4542 4543 4543 4544 Debye, Anderson, Brumberger, "Scattering by an Inhomogeneous Solid. … … 4645 4646 *Figure. 1D plot using the default values (w/200 data point).* 4646 4647 4647 R eferences:4648 REFERENCE 4648 4649 4649 4650 Teubner, M; Strey, R. J. Chem. Phys., 87, 3195 (1987). … … 4734 4735 4735 4736 4736 R eferences:4737 REFERENCE 4737 4738 4738 4739 J. Teixeira, (1988) J. Appl. Cryst., vol. 21, p781-785 … … 4807 4808 4808 4809 4809 R eferences:4810 REFERENCE 4810 4811 4811 4812 D. Mildner, and P. Hall, J. Phys. D.: Appl. Phys., 19, 1535-1545 … … 4885 4886 4886 4887 4887 R eferences:4888 REFERENCE 4888 4889 4889 4890 D. Mildner, and P. Hall, J. Phys. D.: Appl. Phys., 19, 1535-1545 … … 4970 4971 4971 4972 4972 R eferences:4973 REFERENCE 4973 4974 4974 4975 P. Schmidt, J Appl. Cryst., 24, 414-435 (1991), Equation(19). … … 5073 5074 5074 5075 5075 R eferences:5076 REFERENCE 5076 5077 5077 5078 See the PolyCore and Fractal documentation. * * … … 5227 5228 0.0 5228 5229 5229 R eferences:5230 REFERENCE 5230 5231 5231 5232 Borue, V. Y., Erukhimovich, I. Y. Macromolecules 21, 3240 (1988). … … 6111 6112 6112 6113 6113 REFERENCE S6114 REFERENCE 6114 6115 6115 6116 G. Beaucage (1995). J. Appl. Cryst., vol. 28, p717-728. … … 6287 6288 6288 6289 6289 REFERENCE S6290 REFERENCE 6290 6291 6291 6292 Mitsuhiro Shibayama, Toyoichi Tanaka, Charles C. Han, J. Chem. Phys. … … 6311 6312 6312 6313 6313 References: 6314 6314 REFERENCE 6315 6315 H. Benoit, J. Polymer Science., 11, 596-599 (1953) 6316 6316 … … 6327 6327 **2.3.1. HardSphereStructure Factor** 6328 6328 6329 This calculates the interparticle structure factor for monodisperse spherical particles interacting through hard sphere (excluded volume) interactions. The calculation uses the Percus-Yevick closure where the interparticle potential is: 6329 This calculates the interparticle structure factor for monodisperse spherical particles interacting through hard 6330 sphere (excluded volume) interactions. 6331 6332 The calculation uses the Percus-Yevick closure where the interparticle potential is 6330 6333 6331 6334 … … 6335 6338 where r is the distance from the center of the sphere of a radius R. 6336 6339 6337 For 2D plot, the wave transfer is defined as .6340 For a 2D plot, the wave transfer is defined as 6338 6341 6339 6342 Parameter name … … 6357 6360 *Figure. 1D plot using the default values (in linear scale).* 6358 6361 6359 References: 6360 6361 Percus, J. K.; Yevick, J. Phys. Rev. 110, 1. (1958). 6362 REFERENCE 6363 J. K. Percus, J. Yevick, *J. Phys. Rev.*, 110, (1958) 1 6362 6364 6363 6365 … … 6365 6367 **2.3.2. SquareWellStructure Factor** 6366 6368 6367 This calculates the interparticle structure factor for a square well fluid spherical particles The mean spherical6369 This calculates the interparticle structure factor for a square well fluid spherical particles. The mean spherical 6368 6370 approximation (MSA) closure was used for this calculation, and is not the most appropriate closure for an attractive 6369 6371 interparticle potential. This solution has been compared to Monte Carlo simulations for a square well fluid, showing … … 6417 6419 *Figure. 1D plot using the default values (in linear scale).* 6418 6420 6419 References: 6420 6421 Sharma, R. V.; Sharma, K. C. Physica, 89A, 213. (1977). 6421 REFERENCE 6422 R. V. Sharma, K. C. Sharma, *Physica*, 89A (1977) 213 6422 6423 6423 6424 … … 6477 6478 *Figure. 1D plot using the default values (in linear scale).* 6478 6479 6479 References: 6480 6481 JP Hansen and JB Hayter, Molecular Physics 46, 651-656 (1982). 6482 6483 JB Hayter and J Penfold, Molecular Physics 42, 109-118 (1981). 6480 REFERENCE 6481 J. B. Hayter and J. Penfold, *Molecular Physics*, 42 (1981) 109-118 6482 J. P. Hansen and J. B. Hayter, *Molecular Physics*, 46 (1982) 651-656 6484 6483 6485 6484 … … 6565 6564 *Figure. 1D plot using the default values (in linear scale).* 6566 6565 6567 References: 6568 6569 Menon, S. V. G., Manohar, C. and K. Srinivas Rao J. Chem. Phys., 6570 95(12), 9186-9190 (1991). 6566 REFERENCE 6567 S. V. G. Menon, C. Manohar, and K. S. Rao, *J. Chem. Phys.*, 95(12) (1991) 9186-9190 6571 6568 6572 6569 … … 6590 6587 .. _testmodel_2: 6591 6588 6592 ** 4.2. testmodel_2**6589 **2.4.2. testmodel_2** 6593 6590 6594 6591 This function, as an example of a user defined function, calculates … … 6604 6601 .. _sum_p1_p2: 6605 6602 6606 ** 4.3. sum_p1_p2**6603 **2.4.3. sum_p1_p2** 6607 6604 6608 6605 This function, as an example of a user defined function, calculates … … 6619 6616 .. _sum_Ap1_1_Ap2: 6620 6617 6621 ** 4.4. sum_Ap1_1_Ap2**6618 **2.4.4. sum_Ap1_1_Ap2** 6622 6619 6623 6620 This function, as an example of a user defined function, calculates … … 6634 6631 .. _polynomial5: 6635 6632 6636 ** 4.5. polynomial5**6633 **2.4.5. polynomial5** 6637 6634 6638 6635 This function, as an example of a user defined function, calculates … … 6646 6643 .. _sph_bessel_jn: 6647 6644 6648 ** 4.6. sph_bessel_jn**6645 **2.4.6. sph_bessel_jn** 6649 6646 6650 6647 This function, as an example of a user defined function, calculates
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