# Contains a comparison of the left and right hand sides # of the asymptotic expansions according to Eqs. 53-55 of # # A. Moroz, A superconvergent representation of the # Gersten-Nitzan and Ford-Weber nonradiative rates # J. Phys. Chem. C 2011 # # xd ... the dipole distance from a sphere surface # in the sphere radius units # xf1, xfs1 ... the left and right hand sides of Eq. 53 # xf2, xfs2 ... the left and right hand sides of Eq. 54 # xf3, xfs3 ... the left and right hand sides of Eq. 55 xd= 2.000000000000002E-002 xf1= 29742.0483983260 xfs1= 29743.7499999999 xf2= 588.893724413040 xfs2= 588.937499999999 xf3= 22.8674610402603 xfs3= 22.8672750000000 xd= 4.000000000000004E-002 xf1= 3542.09434300371 xfs1= 3543.74999999999 xf2= 138.852276320668 xfs2= 138.937500000000 xf3= 10.4755415567368 xfs3= 10.4741000000000 xd= 6.000000000000005E-002 xf1= 1000.93430456377 xfs1= 1002.54629629629 xf2= 58.2574307986823 xfs2= 58.3819444444443 xf3= 6.40852478347912 xfs3= 6.40380833333333 xd= 8.000000000000007E-002 xf1= 403.117052750590 xfs1= 404.687499999999 xf2= 30.9632005066923 xfs2= 31.1249999999999 xf3= 4.41724671151715 xfs3= 4.40639999999999 xd= 0.100000000000000 xf1= 197.219121152330 xfs1= 198.749999999999 xf2= 18.7402784805382 xfs2= 18.9375000000000 xf3= 3.25244502554795 xfs3= 3.23187500000000 xd= 0.120000000000000 xf1= 109.154993846892 xfs1= 110.648148148148 xf2= 12.3177033510687 xfs2= 12.5486111111111 xf3= 2.49810565410704 xfs3= 2.46356666666666 xd= 0.140000000000000 xf1= 65.7986783307947 xfs1= 67.2558309037899 xf2= 8.57248392238046 xfs2= 8.83545918367345 xf3= 1.97623590577500 xfs3= 1.92290357142857 xd= 0.160000000000000 xf1= 42.2295810671547 xfs1= 43.6523437500001 xf2= 6.22209379979906 xfs2= 6.51562500000001 xf3= 1.59806451933008 xfs3= 1.52060000000000 xd= 0.180000000000000 xf1= 28.4369348499661 xfs1= 29.8268175582991 xf2= 4.66420884263782 xfs2= 4.98688271604939 xf3= 1.31444667469914 xfs3= 1.20705277777778 xd= 0.200000000000000 xf1= 19.8915811002588 xfs1= 21.2500000000000 xf2= 3.58700642791552 xfs2= 3.93750000000000 xf3= 1.09602974186308 xfs3= 0.952500000000000 xd= 0.220000000000000 xf1= 14.3507158561181 xfs1= 15.6790007513148 xf2= 2.81662498960298 xfs2= 3.19369834710744 xf3= 0.924240556921591 xfs3= 0.738002272727273 xd= 0.240000000000000 xf1= 10.6218952733734 xfs1= 11.9212962962963 xf2= 2.25028802765036 xfs2= 2.65277777777778 xf3= 0.786781245879834 xfs3= 0.550933333333333 xd= 0.260000000000000 xf1= 8.03360900574985 xfs1= 9.30530268548020 xf2= 1.82429612450866 xfs2= 2.25110946745562 xf3= 0.675205595087736 xfs3= 0.382551923076923 xd= 0.280000000000000 xf1= 6.18930755602514 xfs1= 7.43440233236151 xf2= 1.49759473308310 xfs2= 1.94770408163265 xf3= 0.583535447754059 xfs3= 0.226614285714285 xd= 0.300000000000000 xf1= 4.84527357342222 xfs1= 6.06481481481481 xf2= 1.24283968983693 xfs2= 1.71527777777778 xf3= 0.507431589341704 xfs3= 7.854166666666651E-002 xd= 0.320000000000000 xf1= 3.84652932905253 xfs1= 5.04150390625000 xf2= 1.04130082186720 xfs2= 1.53515625000000 xf3= 0.443676383238181 xfs3= -6.510000000000038E-002 xd= 0.340000000000000 xf1= 3.09158443213769 xfs1= 4.26292489314064 xf2= 0.879834230293586 xfs2= 1.39424740484429 xf3= 0.389839671208274 xfs3= -0.206936764705883 xd= 0.360000000000000 xf1= 2.51224837606654 xfs1= 3.66083676268862 xf2= 0.749019588821636 xfs2= 1.28317901234568 xf3= 0.344056575834160 xfs3= -0.349011111111110 xd= 0.380000000000000 xf1= 2.06165786078008 xfs1= 3.18832920250766 xf2= 0.641978849087422 xfs2= 1.19511772853186 xf3= 0.304875903756912 xfs3= -0.492935526315789 xd= 0.400000000000000 xf1= 1.70695448318216 xfs1= 2.81250000000000 xf2= 0.553606859410432 xfs2= 1.12500000000000 xf3= 0.271154380119395 xfs3= -0.639999999999999 xd= 0.420000000000000 xf1= 1.42468310527720 xfs1= 2.50985314760825 xf2= 0.480058317266857 xfs2= 1.06901927437642 xf3= 0.241981389441596 xfs3= -0.791248809523809 xd= 0.440000000000000 xf1= 1.19782908689262 xfs1= 2.26333583771600 xf2= 0.418398395265460 xfs2= 1.02427685950413 xf3= 0.216624477795620 xfs3= -0.947536363636363 xd= 0.460000000000000 xf1= 1.01386879496908 xfs1= 2.06038875647243 xf2= 0.366360304121538 xfs2= 0.988539697542533 xf3= 0.194489266346375 xfs3= -1.10956847826087 xd= 0.480000000000000 xf1= 0.863461446741622 xfs1= 1.89163773148148 xf2= 0.322174180730073 xfs2= 0.960069444444444 xf3= 0.175089547453013 xfs3= -1.27793333333333 xd= 0.500000000000000 xf1= 0.739555555555555 xfs1= 1.75000000000000 xf2= 0.284444444444444 xfs2= 0.937500000000000 xf3= 0.158024691358025 xfs3= -1.45312500000000 xd= 0.520000000000000 xf1= 0.636768606785208 xfs1= 1.63006372325899 xf2= 0.252060651985058 xfs2= 0.919748520710059 xf3= 0.142962378099559 xfs3= -1.63556153846154 xd= 0.540000000000000 xf1= 0.550949983206262 xfs1= 1.52765076461921 xf2= 0.224131865276340 xfs2= 0.905949931412894 xf3= 0.129625259914416 xfs3= -1.82559907407407 xd= 0.560000000000000 xf1= 0.478868782891036 xfs1= 1.43950437317784 xf2= 0.199937758373890 xfs2= 0.895408163265306 xf3= 0.117780559831036 xfs3= -2.02354285714286 xd= 0.580000000000000 xf1= 0.417988024316169 xfs1= 1.36306326622658 xf2= 0.178891797158996 xfs2= 0.887559453032105 xf3= 0.107231888026247 xfs3= -2.22965603448276 xd= 0.600000000000000 xf1= 0.366299425563479 xfs1= 1.29629629629630 xf2= 0.160513231426693 xfs2= 0.881944444444445 xf3= 9.781275040064098E-002 xfs3= -2.44416666666667