168 rows, 7 slices collapse: slices compared at the azimuths they share |d_az| crossover crossover_2nd midpoint midpoint_next quarter three_eighths three_quarter 0.0 2.9308e+08 2.9308e+08 - - - - - 4.0 - - - - 2.5092e+08 - 2.5041e+08 6.0 - - - - - 2.1167e+08 - 7.0 - - - 1.7612e+08 - - - 8.0 - - 1.7375e+08 1.7366e+08 - - - 9.0 - - - - - 1.4115e+08 - 11.0 - - - - 1.1293e+08 - 1.1060e+08 fitted over the cell (|d_az| <= 7.6 deg, 9 points): Lorentzian 1/(1+(arc/h)^2) : h = 5.102 mm, rms 0.0049 (0.49%) Mathieson (h fixed at the gap) : K3 = 1.930, rms 0.0056 (0.56%) the geometric anode-cathode gap is 4.330 to 4.389 mm extrapolation: anodes the cell fit never saw |d_az| arc[mm] measured Lorentzian ratio 8.0 4.219 1.7372e+08 1.7422e+08 0.997 9.0 5.300 1.4115e+08 1.4108e+08 1.000 11.0 6.352 1.1176e+08 1.1504e+08 0.972 15.0 8.407 6.2616e+07 7.8964e+07 0.793 19.0 10.581 3.3326e+07 5.5340e+07 0.602 21.0 11.661 2.5520e+07 4.7134e+07 0.541 22.0 12.607 2.0513e+07 4.1281e+07 0.497 23.0 12.729 2.0475e+07 4.0602e+07 0.504 24.0 13.781 1.7098e+07 3.5361e+07 0.484 26.0 14.818 1.4266e+07 3.1090e+07 0.459 30.0 16.814 9.3546e+06 2.4734e+07 0.378 34.0 19.047 6.5436e+06 1.9639e+07 0.333 36.0 20.142 5.8540e+06 1.7688e+07 0.331 37.0 21.118 5.3724e+06 1.6178e+07 0.332 38.0 21.045 5.3095e+06 1.6284e+07 0.326 39.0 22.262 4.8845e+06 1.4639e+07 0.334 41.0 23.285 4.3965e+06 1.3439e+07 0.327 45.0 25.220 3.3175e+06 1.1533e+07 0.288 49.0 27.514 2.7932e+06 9.7520e+06 0.286 51.0 28.622 2.6716e+06 9.0341e+06 0.296 52.0 29.434 2.5395e+06 8.5570e+06 0.297 53.0 29.653 2.5524e+06 8.4345e+06 0.303 54.0 30.742 2.4121e+06 7.8632e+06 0.307 56.0 31.751 2.2352e+06 7.3839e+06 0.303 60.0 33.627 1.7979e+06 6.6010e+06 0.272 64.0 35.980 1.6430e+06 5.7823e+06 0.284 66.0 37.103 1.6105e+06 5.4441e+06 0.296 67.0 38.042 1.5707e+06 5.1834e+06 0.303 68.0 37.871 1.5565e+06 5.2292e+06 0.298 69.0 39.223 1.5011e+06 4.8810e+06 0.308 71.0 40.217 1.4101e+06 4.6463e+06 0.303 75.0 42.034 1.1748e+06 4.2592e+06 0.276 79.0 44.446 1.1222e+06 3.8152e+06 0.294 81.0 45.583 1.1143e+06 3.6296e+06 0.307 82.0 46.260 1.0882e+06 3.5254e+06 0.309 83.0 46.577 1.0947e+06 3.4782e+06 0.315 84.0 47.703 1.0574e+06 3.3177e+06 0.319 86.0 48.684 1.0016e+06 3.1868e+06 0.314 90.0 50.440 8.5453e+05 2.9709e+06 0.288 94.0 52.913 8.4006e+05 2.7023e+06 0.311 96.0 54.064 8.4082e+05 2.5894e+06 0.325 97.0 54.965 8.3265e+05 2.5059e+06 0.332 98.0 54.698 8.2620e+05 2.5303e+06 0.327 99.0 56.184 8.0766e+05 2.3993e+06 0.337 101.0 57.150 7.6964e+05 2.3195e+06 0.332 105.0 58.847 6.6855e+05 2.1886e+06 0.305 109.0 61.379 6.7132e+05 2.0130e+06 0.333 111.0 62.544 6.7610e+05 1.9392e+06 0.349 112.0 63.087 6.6789e+05 1.9062e+06 0.350 113.0 63.501 6.7212e+05 1.8816e+06 0.357 114.0 64.665 6.5545e+05 1.8149e+06 0.361 116.0 65.616 6.2759e+05 1.7629e+06 0.356 120.0 67.254 5.5350e+05 1.6786e+06 0.330 124.0 69.845 5.6538e+05 1.5570e+06 0.363 126.0 71.025 5.7228e+05 1.5060e+06 0.380 127.0 71.889 5.7164e+05 1.4702e+06 0.389 128.0 71.524 5.6744e+05 1.4851e+06 0.382 129.0 73.145 5.5911e+05 1.4203e+06 0.394 131.0 74.083 5.3764e+05 1.3848e+06 0.388 135.0 75.661 4.8056e+05 1.3279e+06 0.362 139.0 78.312 4.9815e+05 1.2399e+06 0.402 141.0 79.506 5.0640e+05 1.2031e+06 0.421 142.0 79.913 5.0405e+05 1.1909e+06 0.423 143.0 80.424 5.0740e+05 1.1759e+06 0.432 144.0 81.626 4.9829e+05 1.1416e+06 0.436 146.0 82.549 4.8099e+05 1.1163e+06 0.431 150.0 84.067 4.3539e+05 1.0765e+06 0.404 154.0 86.778 4.5748e+05 1.0105e+06 0.453 156.0 87.986 4.6690e+05 9.8307e+05 0.475 157.0 88.813 4.6955e+05 9.6492e+05 0.487 158.0 88.350 4.6625e+05 9.7501e+05 0.478 159.0 90.106 4.6241e+05 9.3749e+05 0.493 161.0 91.016 4.4806e+05 9.1892e+05 0.488 165.0 92.474 4.1067e+05 8.9025e+05 0.461 169.0 95.245 4.3703e+05 8.3936e+05 0.521 171.0 96.467 4.4772e+05 8.1828e+05 0.547 172.0 96.739 4.4858e+05 8.1369e+05 0.551 173.0 97.348 4.5166e+05 8.0358e+05 0.562 174.0 98.587 4.4633e+05 7.8356e+05 0.570 176.0 99.482 4.3405e+05 7.6956e+05 0.564 180.0 100.870 4.0281e+05 7.4858e+05 0.538 the half cell, normalised at the crossover: d_az[deg] arc[mm] fit solved 0.000 0.000 1.0000 1.0000 1.875 1.054 0.9591 - 3.750 2.107 0.8542 0.8553 5.625 3.161 0.7226 0.7222 7.500 4.215 0.5944 0.5948 wrote function_map.png