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File:RutherfordHyperbolas.png

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Hyperbolic trajectories of alpha particles scattering from Au nucleus as described in Rutherford's 1911 paper.
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Hyperbolic trajectories of alpha particles scattering from Au nucleus as described in Rutherford's 1911 paper
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I, the copyright holder of this work, hereby publish it under the following license:
161: 168: 125: 194:# Code to create example hyperbolic trajectories for Rutherford scattering. 1328:
Click on a date/time to view the file as it appeared at that time.
299:"""Array of r, theta describing hyperbolic trajectory fo p/b""" 56: 449:# Rotate to make the alpha particle come in from left side. 749:# 7.3fm Modern Au radius / 34fm Rutherford r_min = b 491:"""Array of r, theta describing a circle of radius r""" 100: 80:
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353:# Rutherford says "the eccentricity is sec theta" 46:(395 × 226 pixels, file size: 27 KB, MIME type: 1203:Creative Commons Attribution 4.0 International 1130:https://commons.wikimedia.org/User:Johnjbarton 61: 911: 8: 966:https://creativecommons.org/licenses/by/4.0 942:– to copy, distribute and transmit the work 1330: 994: 1420: 1306: 1290: 1272: 1256: 1236: 1220: 1200: 1184: 1164: 1148: 1081: 1065: 1045: 1028: 1012: 1009: 990: 983: 281:# p/b = 10, 5, 2, 1, 0.5, 0.25, 0.125 7: 356:# Reduce a bit to avoid very large r 260:# r(phi) = 2(p/b)^2/(e cos(phi) - 1) 1418:The following page uses this file: 1408:Uploaded own work with UploadWizard 1319: 917: 1003: 997: 933: 908: 904: 266:# b is the closest approach radius 166: 110: 93: 39: 1423:Rutherford scattering experiments 1002: 972:Creative Commons Attribution 4.0 263:# Where p is the impact parameter 988: 953:Under the following conditions: 924:This file is licensed under the 916: 910: 160: 60: 21: 1378:Shrink canvas to crop it seems. 985: 111: 36:No higher resolution available. 14: 984: 26: 1: 1239:original creation by uploader 929:Attribution 4.0 International 884:'RutherfordHyperbolasRaw.png' 1010:Items portrayed in this file 272:# Units of "b", so r/b, p/b. 269:# and e = Sqrt((2p/b)^2 + 1) 167:This plot was created with 1439: 278:# Rutherford's table uses 1320: 135: 16: 987: 191: 106:RutherfordHyperbolas.png 67:This is a file from the 42:RutherfordHyperbolas.png 1407: 1377: 141: 131: 124: 121: 103: 71:. Information from its 74:description page there 1048:hyperbolic trajectory 1031:Rutherford scattering 152:PNG development 1386:03:47, 22 June 2024 1356:04:20, 22 June 2024 948:– to adapt the work 1108:Wikimedia username 1095:author name string 239:matplotlib.patches 1411: 1187:copyright license 996: 895: 894: 227:matplotlib.pyplot 89: 88: 69:Wikimedia Commons 1430: 1398: 1368: 1151:copyright status 1132: 1127: 1117: 1112: 1102: 1099: 979: 976: 973: 970: 967: 926:Creative Commons 920: 919: 914: 913: 888: 885: 882: 879: 876: 873: 870: 867: 864: 861: 858: 855: 852: 849: 846: 843: 840: 837: 834: 831: 828: 825: 822: 819: 816: 813: 810: 807: 804: 801: 798: 795: 792: 789: 786: 783: 780: 777: 774: 771: 768: 765: 762: 759: 756: 753: 750: 747: 744: 741: 738: 735: 732: 729: 726: 723: 720: 717: 714: 711: 708: 705: 702: 699: 696: 693: 690: 687: 684: 681: 678: 675: 672: 669: 666: 663: 660: 657: 654: 651: 648: 645: 642: 639: 636: 633: 630: 627: 624: 621: 618: 615: 612: 609: 606: 603: 600: 597: 594: 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1414:File usage 1395:960 × 720 1365:395 × 226 1341:Dimensions 1293:media type 1083:some value 969:CC BY 4.0 653:trajectory 590:subplot_kw 287:trajectory 275:# b = 34fm 200:matplotlib 169:Matplotlib 27:File usage 1338:Thumbnail 1335:Date/Time 1308:image/png 1259:inception 899:Licensing 818:fillstyle 470:phi_lefts 452:phi_lefts 181:InfoField 154:InfoField 113:English: 48:image/png 991:Captions 946:to remix 940:to share 931:license. 836:set_rmax 584:subplots 506:linspace 419:linspace 245:mpatches 203:notebook 136:Own work 1397:(32 KB) 1367:(27 KB) 1352:current 1347:Comment 1068:creator 1015:depicts 995:English 878:savefig 764:nucleus 704:degrees 665:display 605:'polar' 479:nucleus 431:phi_out 395:phi_out 96:Summary 44:‎ 824:'full' 812:'gray' 686:angle 548:return 458:return 425:phi_in 404:phi_in 371:arccos 359:phi_in 254:import 236:import 224:import 218:import 206:import 165:  142:Author 132:Source 842:r_max 806:color 692:round 674:'p/b 611:r_max 392:0.001 341:p2bSq 302:p2bSq 209:numpy 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File:RutherfordHyperbolas.png
RutherfordHyperbolas.png
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Rutherford scattering
hyperbolic trajectory
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