Changeset 785cbec in sasmodels for sasmodels/models/onion.py
- Timestamp:
- Aug 5, 2016 1:03:19 PM (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:
- c8de1bd
- Parents:
- e187b25
- File:
-
- 1 edited
Legend:
- Unmodified
- Added
- Removed
-
sasmodels/models/onion.py
re187b25 r785cbec 36 36 37 37 \begin{align*} 38 39 38 f_\text{core} 40 39 &= 4\pi\int_0^{r_\text{core}} \rho_\text{core} … … 75 74 thickness of the $k^\text{th}$ shell in the equation above, respectively. 76 75 77 For $A \gt 0$, 78 79 .. math:: 80 :nowrap: 81 82 \begin{align*} 76 For $A > 0$, 77 78 .. math:: 79 83 80 f_\text{shell} &= 4 \pi \int_{r_{\text{shell}-1}}^{r_\text{shell}} 84 81 \left[ B\exp 85 82 \left(A (r - r_{\text{shell}-1}) / \Delta t_\text{shell} \right) + C 86 \right] \frac{\sin(qr)}{qr}\,r^2\,\mathrm{d}r \\ 83 \right] \frac{\sin(qr)}{qr}\,r^2\,\mathrm{d}r 84 87 85 &= 3BV(r_\text{shell}) e^A h(\alpha_\text{out},\beta_\text{out}) 88 86 - 3BV(r_{\text{shell}-1}) h(\alpha_\text{in},\beta_\text{in}) 89 87 + 3CV(r_{\text{shell}}) \frac{j_1(\beta_\text{out})}{\beta_\text{out}} 90 88 - 3CV(r_{\text{shell}-1}) \frac{j_1(\beta_\text{in})}{\beta_\text{in}} 91 \end{align*}92 89 93 90 for … … 102 99 &\alpha_\text{out} &= A\frac{r_\text{shell}}{\Delta t_\text{shell}} \\ 103 100 \beta_\text{in} &= qr_{\text{shell}-1} 104 &\beta_\text{out} &= qr_\text{shell} 101 &\beta_\text{out} &= qr_\text{shell} \\ 105 102 \end{align*} 106 103
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