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Next: 8 Figures Up: On Convergence Acceleration of Previous: 6.2 Exact Expansion in

7 Tables

 

For detailed explanations of the meaning of the displayed data see Sec. 6.

 

 
tex2html_wrap_inline2470 tex2html_wrap_inline2358 tex2html_wrap_inline2470 tex2html_wrap_inline2358
0 9.6145542836957232 tex2html_wrap_inline2904 15 5.6126132139082320 tex2html_wrap_inline2906
1 1.5111468162060430 tex2html_wrap_inline2908 16 1.0526398832720890 tex2html_wrap_inline2910
2 2.4972140819932912 tex2html_wrap_inline2908 17 1.9791327162842600 tex2html_wrap_inline2910
3 4.2508094215318600 tex2html_wrap_inline2908 18 3.7295814285560472 tex2html_wrap_inline2910
4 7.3829280479536656 tex2html_wrap_inline2908 19 7.0429819898685744 tex2html_wrap_inline2910
5 1.3014160081924070 tex2html_wrap_inline2924 20 1.3325858332275628 tex2html_wrap_inline2926
6 2.3205220342856620 tex2html_wrap_inline2924 21 2.5258921378457704 tex2html_wrap_inline2926
7 4.1759801415517728 tex2html_wrap_inline2924 22 4.7958001073652480 tex2html_wrap_inline2926
8 7.5724460859402144 tex2html_wrap_inline2924 23 9.1198033217610032 tex2html_wrap_inline2926
9 1.3819758024471442 tex2html_wrap_inline2940 24 1.7367785134246278 tex2html_wrap_inline2942
10 2.5360253549353620 tex2html_wrap_inline2940 25 3.3120638623127288 tex2html_wrap_inline2942
11 4.6760909010975208 tex2html_wrap_inline2940 26 6.3243038872318152 tex2html_wrap_inline2942
12 8.6583940808828048 tex2html_wrap_inline2940 27 1.2090777865352850 tex2html_wrap_inline2954
13 1.6092055362945430 tex2html_wrap_inline2906 28 2.3141623269443344 tex2html_wrap_inline2954
14 3.0007868261207612 tex2html_wrap_inline2906 29 4.4340905859803936 tex2html_wrap_inline2954
Table 1: Multipole Moments tex2html_wrap_inline2358

   
tex2html_wrap_inline2470 tex2html_wrap_inline2850 tex2html_wrap_inline2852 tex2html_wrap_inline2976 tex2html_wrap_inline2978
11 2.7418043436441288 2.7418396451187988 4.9 8.5
13 2.7418444420453968 2.7418396360933220 5.8 9.8
15 2.7418400997161048 2.7418396365510044 6.8 11.3
17 2.7418393319135280 2.7418396365368780 7.0 13.2
19 2.7418396810712432 2.7418396365366408 7.8 13.6
21 2.7418396408021740 2.7418396365367192 8.8 14.6
23 2.7418396335310588 2.7418396365367116 9.0 tex2html_wrap_inline2980
25 2.7418396369949232 2.7418396365367116 9.8 tex2html_wrap_inline2980
Table 2: tex2html_wrap_inline2584 transformation of the multipole expansion for r=4 and tex2html_wrap_inline2364 degree

   

tex2html_wrap_inline2470 tex2html_wrap_inline2850 tex2html_wrap_inline2852 tex2html_wrap_inline2976 tex2html_wrap_inline2978
5 4.0055910661641912 4.0310298596769504 2.2 6.0
7 4.0258375726969488 4.0310259627927432 2.9 8.1
9 4.0299452870267560 4.0310259342473168 3.6 10.3
11 4.0307974518518776 4.0310259340256136 4.2 12.5
13 4.0309770827258808 4.0310259340268592 4.9 14.2
15 4.0310154000570728 4.0310259340268832 5.6 tex2html_wrap_inline2980
17 4.0310236476902344 4.0310259340268832 6.2 tex2html_wrap_inline2980
19 4.0310254353074664 4.0310259340268832 6.9 tex2html_wrap_inline2980
Table 3: tex2html_wrap_inline2584 transformation of the multipole expansion for r=4 and tex2html_wrap_inline2370 degree

   

tex2html_wrap_inline2470 tex2html_wrap_inline2850 tex2html_wrap_inline2852 tex2html_wrap_inline2976 tex2html_wrap_inline2978
2 0.9205147491201462 0.9229094827555278 2.6 5.1
4 0.9228521264440244 0.9229028304339108 4.3 9.7
6 0.9229017067530020 0.9229028306219438 5.9 11.5
8 0.9229028050126544 0.9229028306190520 7.6 tex2html_wrap_inline2980
10 0.9229028300243444 0.9229028306190520 9.2 tex2html_wrap_inline2980
Table 4: tex2html_wrap_inline2584 transformation of the multipole expansion for r=12 and tex2html_wrap_inline2370 degree

   

tex2html_wrap_inline2470 tex2html_wrap_inline2850 tex2html_wrap_inline2852 tex2html_wrap_inline2976 tex2html_wrap_inline2978
14 4.3489633745055632 4.3493388832962536 4.1 8.4
16 4.3492565069391536 4.3493388972986296 4.7 9.5
18 4.3493913460628168 4.3493388992014864 4.9 10.0
20 4.3493504034221608 4.3493388987593184 5.6 11.1
22 4.3493312030632704 4.3493388987929736 5.8 12.6
24 4.3493372120197552 4.3493388987948584 6.4 12.8
26 4.3493400696609064 4.3493388987940592 6.6 13.7
28 4.3493391551806856 4.3493388987941480 7.2 tex2html_wrap_inline2980
Table 5: tex2html_wrap_inline2584 transformation of the multipole expansion for r=3 and tex2html_wrap_inline2382 degree

   

tex2html_wrap_inline2470 tex2html_wrap_inline2850 tex2html_wrap_inline2852 tex2html_wrap_inline2976 tex2html_wrap_inline2978
5 2.6360864318669988 2.6377072675101864 3.2 5.2
6 2.6374837369057832 2.6377515327293168 4.0 5.0
7 2.6378518176502576 2.6377253830860056 4.3 6.0
8 2.6378042659979908 2.6377219784704452 4.5 6.4
9 2.6377350134378020 2.6377230006666316 5.3 8.6
10 2.6377151544952184 2.6377230256403856 5.5 8.2
11 2.6377179511190400 2.6377230015625168 5.7 8.7
12 2.6377222605455336 2.6377230070377540 6.5 10.9
13 2.6377235638641044 2.6377230071786740 6.7 10.2
14 2.6377233701261704 2.6377230069889060 6.9 11.1
15 2.6377230603586148 2.6377230070087064 7.7 12.7
16 2.6377229633254132 2.6377230070085216 7.8 12.8
17 2.6377229782819236 2.6377230070080356 8.0 13.5
18 2.6377230028127904 2.6377230070081392 8.8 14.2
19 2.6377230106880184 2.6377230070081228 8.9 tex2html_wrap_inline2980
20 2.6377230094424720 2.6377230070081228 9.0 tex2html_wrap_inline2980
Table 6: tex2html_wrap_inline2584 transformation of the expansion in spherical harmonics for r=4 and tex2html_wrap_inline2364 degree

   

tex2html_wrap_inline2470 tex2html_wrap_inline2850 tex2html_wrap_inline2852 tex2html_wrap_inline2976 tex2html_wrap_inline2978
10 4.5865590596837048 4.5866525846910224 4.7 6.4
12 4.5866776132666136 4.5866544475900856 5.3 7.7
14 4.5866762505499168 4.5866543754774488 5.3 8.5
16 4.5866652462194176 4.5866543587750376 5.6 9.4
18 4.5866588085511440 4.5866543606914784 6.0 10.8
20 4.5866559736808440 4.5866543607829960 6.5 11.4
22 4.5866548859890528 4.5866543607630656 6.9 13.1
24 4.5866545102511760 4.5866543607625712 7.5 13.5
26 4.5866543942048184 4.5866543607627224 8.1 15.3
28 4.5866543637663352 4.5866543607627240 9.2 15.5
Table 7: tex2html_wrap_inline2584 transformation of the expansion in spherical harmonics for r=4 and tex2html_wrap_inline2370 degree

   

tex2html_wrap_inline2470 tex2html_wrap_inline2850 tex2html_wrap_inline2852 tex2html_wrap_inline2976 tex2html_wrap_inline2978
2 0.9205059009697086 0.9228996042830154 2.6 5.1
3 0.9225472237960400 0.9228930830704692 3.4 6.0
4 0.9228417168669332 0.9228922656178376 4.3 8.2
5 0.9228847832640386 0.9228922593965848 5.1 9.8
6 0.9228911451439840 0.9228922591923836 5.9 10.3
7 0.9228920922347056 0.9228922592384774 6.7 11.4
8 0.9228922340878756 0.9228922592424316 7.6 12.6
9 0.9228922554386146 0.9228922592422232 8.4 13.6
10 0.9228922586651554 0.9228922592421988 9.2 15.0
11 0.9228922591544072 0.9228922592421998 10.0 15.7
12 0.9228922592288100 0.9228922592421998 10.8 16.0
Table 8: tex2html_wrap_inline2584 transformation of the expansion in spherical harmonics for r=12 and tex2html_wrap_inline2370 degree

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Next: 8 Figures Up: On Convergence Acceleration of Previous: 6.2 Exact Expansion in

Herbert H. H. Homeier (herbert.homeier@na-net.ornl.gov)