Changeset 40a87fa in sasmodels for sasmodels/models/porod.py
- Timestamp:
- Aug 8, 2016 9:24:11 AM (8 years ago)
- 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:
- 2472141
- Parents:
- 2d65d51
- File:
-
- 1 edited
Legend:
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sasmodels/models/porod.py
r2c74c11 r40a87fa 2 2 This model fits the Porod function 3 3 4 .. math:: 5 6 I(q) = C/q^4 7 \\ 8 C = 2\pi (\Delta\rho)^2 S_v 4 .. math:: I(q) = C/q^4 9 5 10 6 to the data directly without any need for linearisation (cf. Log I(q) vs Log q). 11 7 12 Here $C$ is the scale factor and $S_v$ is the specific surface area (ie, surface area / volume) 13 of the sample, and $\Delta\rho$ is the contrast factor. 8 Here $C = 2\pi (\Delta\rho)^2 S_v$ is the scale factor where $S_v$ is 9 the specific surface area (ie, surface area / volume) of the sample, and 10 $\Delta\rho$ is the contrast factor. 14 11 15 12 For 2D data: The 2D scattering intensity is calculated in the same way as 1D, 16 13 where the q vector is defined as 17 14 18 .. math:: 19 q = \sqrt{q_x^2+q_y^2} 15 .. math:: q = \sqrt{q_x^2+q_y^2} 20 16 21 17 References … … 23 19 24 20 G Porod. *Kolloid Zeit*. 124 (1951) 83. 25 L A Feigin, D I Svergun, G W Taylor. *Structure Analysis by Small-Angle X-ray and Neutron Scattering*. Springer. (1987) 21 22 L A Feigin, D I Svergun, G W Taylor. *Structure Analysis by Small-Angle 23 X-ray and Neutron Scattering*. Springer. (1987) 26 24 """ 27 25
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