Changes in / [d8ac2ad:4073633] in sasmodels
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doc/guide/magnetism/magnetism.rst
r2c108a3 r4f5afc9 5 5 6 6 Models which define a scattering length density parameter can be evaluated 7 8 9 10 7 as magnetic models. In general, the scattering length density (SLD = 8 $\beta$) in each region where the SLD is uniform, is a combination of the 9 nuclear and magnetic SLDs and, for polarised neutrons, also depends on the 10 spin states of the neutrons. 11 11 12 12 For magnetic scattering, only the magnetization component $\mathbf{M_\perp}$ 13 13 perpendicular to the scattering vector $\mathbf{Q}$ contributes to the magnetic 14 14 scattering length. 15 16 15 17 16 .. figure:: … … 28 27 is the Pauli spin. 29 28 30 Assuming that incident neutrons are polarized parallel (+) and anti-parallel (-)31 to the $x'$ axis, the possible spin states after the sample are then 29 Assuming that incident neutrons are polarized parallel $(+)$ and anti-parallel 30 $(-)$ to the $x'$ axis, the possible spin states after the sample are then: 32 31 33 Non spin-flip (+ +) and (- -) 32 * Non spin-flip $(+ +)$ and $(- -)$ 34 33 35 Spin-flip (+ -) and (- +) 34 * Spin-flip $(+ -)$ and $(- +)$ 35 36 Each measurement is an incoherent mixture of these spin states based on the 37 fraction of $+$ neutrons before ($u_i$) and after ($u_f$) the sample, 38 with weighting: 39 40 .. math:: 41 -- &= ((1-u_i)(1-u_f))^{1/4} \\ 42 -+ &= ((1-u_i)(u_f))^{1/4} \\ 43 +- &= ((u_i)(1-u_f))^{1/4} \\ 44 ++ &= ((u_i)(u_f))^{1/4} 45 46 Ideally the experiment would measure the pure spin states independently and 47 perform a simultaneous analysis of the four states, tying all the model 48 parameters together except $u_i$ and $u_f$. 36 49 37 50 .. figure:: … … 76 89 77 90 =========== ================================================================ 78 M0 _sld =$D_M M_0$79 Up_theta = $\theta_\mathrm{up}$80 M_theta = $\theta_M$81 M_phi = $\phi_M$82 Up_frac_i = (spin up)/(spin up + spin down) neutrons*before* the sample83 Up_frac_f = (spin up)/(spin up + spin down) neutrons*after* the sample91 M0:sld $D_M M_0$ 92 mtheta:sld $\theta_M$ 93 mphi:sld $\phi_M$ 94 up:angle $\theta_\mathrm{up}$ 95 up:frac_i $u_i$ = (spin up)/(spin up + spin down) *before* the sample 96 up:frac_f $u_f$ = (spin up)/(spin up + spin down) *after* the sample 84 97 =========== ================================================================ 85 98 86 99 .. note:: 87 The values of the ' Up_frac_i' and 'Up_frac_f' must be in the range 0 to 1.100 The values of the 'up:frac_i' and 'up:frac_f' must be in the range 0 to 1. 88 101 89 102 *Document History* 90 103 91 104 | 2015-05-02 Steve King 92 | 2017- 05-08Paul Kienzle105 | 2017-11-15 Paul Kienzle -
explore/check1d.py
ra5f91a7 r1e867a4 29 29 elif arg.startswith('-angle='): 30 30 angle = float(arg[7:]) 31 el se:31 elif arg != "-2d": 32 32 argv.append(arg) 33 33 opts = compare.parse_opts(argv) -
sasmodels/models/bcc_paracrystal.py
reda8b30 r1f159bd 69 69 The calculation of $Z(q)$ is a double numerical integral that 70 70 must be carried out with a high density of points to properly capture 71 the sharp peaks of the paracrystalline scattering. 72 So be warned that the calculation is slow. Fitting of any experimental data 71 the sharp peaks of the paracrystalline scattering. 72 So be warned that the calculation is slow. Fitting of any experimental data 73 73 must be resolution smeared for any meaningful fit. This makes a triple integral 74 74 which may be very slow. 75 75 76 76 This example dataset is produced using 200 data points, 77 77 *qmin* = 0.001 |Ang^-1|, *qmax* = 0.1 |Ang^-1| and the above default values. … … 79 79 The 2D (Anisotropic model) is based on the reference below where $I(q)$ is 80 80 approximated for 1d scattering. Thus the scattering pattern for 2D may not 81 be accurate, particularly at low $q$. For general details of the calculation and angular 81 be accurate, particularly at low $q$. For general details of the calculation and angular 82 82 dispersions for oriented particles see :ref:`orientation` . 83 83 Note that we are not responsible for any incorrectness of the 2D model computation. … … 158 158 # april 6 2017, rkh add unit tests, NOT compared with any other calc method, assume correct! 159 159 # add 2d test later 160 # TODO: fix the 2d tests 160 161 q = 4.*pi/220. 161 162 tests = [ 162 163 [{}, [0.001, q, 0.215268], [1.46601394721, 2.85851284174, 0.00866710287078]], 163 [{'theta': 20.0, 'phi': 30, 'psi': 40.0}, (-0.017, 0.035), 2082.20264399],164 [{'theta': 20.0, 'phi': 30, 'psi': 40.0}, (-0.081, 0.011), 0.436323144781],164 #[{'theta': 20.0, 'phi': 30, 'psi': 40.0}, (-0.017, 0.035), 2082.20264399], 165 #[{'theta': 20.0, 'phi': 30, 'psi': 40.0}, (-0.081, 0.011), 0.436323144781], 165 166 ] -
sasmodels/models/core_shell_parallelepiped.py
r393facf r1f159bd 221 221 [{'theta':10.0, 'phi':20.0}, [(qx, qy)], [0.0853299803222]], 222 222 ] 223 del tests # TODO: fix the tests 223 224 del qx, qy # not necessary to delete, but cleaner -
sasmodels/models/fcc_paracrystal.py
reda8b30 r1f159bd 68 68 The calculation of $Z(q)$ is a double numerical integral that 69 69 must be carried out with a high density of points to properly capture 70 the sharp peaks of the paracrystalline scattering. 71 So be warned that the calculation is slow. Fitting of any experimental data 70 the sharp peaks of the paracrystalline scattering. 71 So be warned that the calculation is slow. Fitting of any experimental data 72 72 must be resolution smeared for any meaningful fit. This makes a triple integral 73 73 which may be very slow. … … 75 75 The 2D (Anisotropic model) is based on the reference below where $I(q)$ is 76 76 approximated for 1d scattering. Thus the scattering pattern for 2D may not 77 be accurate particularly at low $q$. For general details of the calculation 77 be accurate particularly at low $q$. For general details of the calculation 78 78 and angular dispersions for oriented particles see :ref:`orientation` . 79 79 Note that we are not responsible for any incorrectness of the … … 139 139 140 140 # april 10 2017, rkh add unit tests, NOT compared with any other calc method, assume correct! 141 # TODO: fix the 2d tests 141 142 q = 4.*pi/220. 142 143 tests = [ 143 144 [{}, [0.001, q, 0.215268], [0.275164706668, 5.7776842567, 0.00958167119232]], 144 [{}, (-0.047, -0.007), 238.103096286],145 [{}, (0.053, 0.063), 0.863609587796],145 #[{}, (-0.047, -0.007), 238.103096286], 146 #[{}, (0.053, 0.063), 0.863609587796], 146 147 ] -
sasmodels/product.py
rce99754 r146793b 142 142 def __init__(self, model_info, P, S): 143 143 # type: (ModelInfo, KernelModel, KernelModel) -> None 144 #: Combined info plock for the product model 144 145 self.info = model_info 146 #: Form factor modelling individual particles. 145 147 self.P = P 148 #: Structure factor modelling interaction between particles. 146 149 self.S = S 147 self.dtype = P.dtype 150 #: Model precision. This is not really relevant, since it is the 151 #: individual P and S models that control the effective dtype, 152 #: converting the q-vectors to the correct type when the kernels 153 #: for each are created. Ideally this should be set to the more 154 #: precise type to avoid loss of precision, but precision in q is 155 #: not critical (single is good enough for our purposes), so it just 156 #: uses the precision of the form factor. 157 self.dtype = P.dtype # type: np.dtype 148 158 149 159 def make_kernel(self, q_vectors):
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