Changeset 23a9beb in sasview for src/sas/invariant/media
- Timestamp:
- Feb 15, 2015 10:09:34 AM (10 years ago)
- 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:
- 920928f
- Parents:
- 898a8b9
- Location:
- src/sas/invariant/media
- Files:
-
- 2 edited
Legend:
- Unmodified
- Added
- Removed
-
src/sas/invariant/media/invariant_help.rst
r78f02c3 r23a9beb 1 .. invariant_help.rst1 .. invariant_help.rst 2 2 3 3 .. This is a port of the original SasView html help file to ReSTructured text … … 7 7 ================================= 8 8 9 1. Scattering Invariant_ 10 2. Volume Fraction_ 11 3. Specific Surface Area_ 12 4. Definitions_ 13 5. Reference_ 14 6. How to Use_ 9 Scattering_Invariant_ 10 11 Volume_Fraction_ 12 13 Specific_Surface_Area_ 14 15 Definitions_ 16 17 Reference_ 18 19 How_to_Use_ 15 20 16 21 .. ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ 17 22 18 .. _Scattering 23 .. _Scattering_Invariant: 19 24 20 25 Scattering Invariant … … 77 82 .. ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ 78 83 79 .. _Volume 84 .. _Volume_Fraction: 80 85 81 86 Volume Fraction … … 94 99 .. ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ 95 100 96 .. _Specific SurfaceArea:101 .. _Specific_Surface_Area: 97 102 98 103 Specific Surface Area … … 106 111 .. ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ 107 112 108 .. _Definitions 113 .. _Definitions: 109 114 110 115 Definitions … … 115 120 I(Q): the scattering intensity as a function of the momentum transfer Q. 116 121 117 Invariant total is the sum of the invariant calculated from data s q range and122 Invariant total is the sum of the invariant calculated from datas q range and 118 123 the invariant resulting from extrapolation at low q range and at high q range 119 124 if considered. … … 129 134 Press, New York, 1982 130 135 131 http://physchem.kfunigraz.ac.at/sm/ <http://physchem.kfunigraz.ac.at/sm/>_136 http://physchem.kfunigraz.ac.at/sm/ 132 137 133 138 .. ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ 134 139 135 .. _How to Use140 .. _How_to_Use: 136 141 137 142 How to Use … … 149 154 3. If you want to calculate the volume fraction and the specific surface 150 155 area, type the optional inputs in the customized input box, and then press 151 Computebutton.156 'Compute' button. 152 157 153 158 4. The invariant can also be calculated including the outside of the data Q 154 159 range: To include the lower Q and/or the higher Q range, check in the enable 155 extrapolation check box in Extrapolation box. If the power low is chosen,160 extrapolation check box in 'Extrapolation' box. If the power low is chosen, 156 161 the power (exponent) can be either held or fitted by checking the 157 162 corresponding radio button. The Npts that is being used for the extrapolation … … 162 167 proper to calculate the invariant. 163 168 164 6. The details of the calculation is available by clicking the Details169 6. The details of the calculation is available by clicking the 'Details' 165 170 button in the middle of the panel. 166 171 -
src/sas/invariant/media/pr_help.rst
r78f02c3 r23a9beb 1 .. pr_help.rst1 .. pr_help.rst 2 2 3 3 .. This is a port of the original SasView html help file to ReSTructured text 4 4 .. by S King, ISIS, during SasView CodeCamp-III in Feb 2015. 5 6 .. |pi| unicode:: U+03C0 7 .. |chi| unicode:: U+03C7 5 8 6 9 P(r) Inversion Perspective … … 9 12 The inversion approach is based on Moore, J. Appl. Cryst., (1980) 13, 168-175. 10 13 11 P(r) is set to be equal to an expansion of base functions of the type12 phi_n(r) = 2 *r*sin(pi*n*r/D_max).14 P(r) is set to be equal to an expansion of base functions of the type 15 phi_n(r) = 2 * r * sin(|pi| * n * r / D_max). 13 16 14 17 The coefficient of each base function in the expansion is found by performing 15 18 a least square fit with the following fit function: 16 19 17 chi**2 = sum_i[ I_meas(q_i) - I_th(q_i) ]**2/error**2 + Reg_term20 |chi| ^2 = sum_i[ I_meas(q_i) - I_th(q_i) ]^2 / error^2 + Reg_term 18 21 19 22 where I_meas(q) is the measured scattering intensity and I_th(q) is the … … 21 24 22 25 The Reg_term term is a regularization term set to the second derivative 23 d **2P(r)/dr**2 integrated over r. It is used to produce a smooth P(r) output.26 d^2 P(r) / dr^2 integrated over r. It is used to produce a smooth P(r) output. 24 27 25 28 The following are user inputs: 26 29 27 - Number of terms: the number of base functions in the P(r) expansion. 30 * Number of terms: the number of base functions in the P(r) expansion. 28 31 29 - Regularization constant: a multiplicative constant to set the size of 30 the regularization term.32 * Regularization constant: a multiplicative constant to set the size of 33 the regularization term. 31 34 32 - Maximum distance: the maximum distance between any two points in the 35 * Maximum distance: the maximum distance between any two points in the 33 36 system.
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