*************************** 786 ******************************************* Ref. "K$_{\alpha}$ resonance fluorescence in Al, Ti, Cu and potential applications for X-ray sources", Sultana N. Nahar and Anil K. Pradhan, JQSRT 155, 32-48 (2015) ************************************************************************** Contents: --------- Ti: Xray spectral lines of the element, from H-like to F-like ions of the element. Due to K-alpha (1s-2p) transitions from F-like to H-like ions, these transitions can occur in one event when the ion goes through multiple inner K-shell ionization in cascade of Auger decays followed by an inner K-shell ionization. These values correspond to transition energies and photoexcitation cross sections. Process: Ti(n+)* + h\nu <-> Ti(n+1)+* + e Data tables: ------------ 1) Table of energies and photoabsorption cross sections for all transitions 2) Table of spectral lines: It is Table 1 reduced to unique transition energies where photoexcitation cross sections at same transition energies are summed 3) Table of averaged spectral points over gaussian function with a beam width for comparison with experimental features 4) Background photoionization cross section of the element from NIST. The x-ray spectral lines can also appear as resonances on the background. **************************************************************************** 1) Table of energies and photoabsorption cross sections for all transitions ---------------------------------------------------------------- Explanation of the table line : Z = Nuclear charge, No. of ion ion electrons, Atomic weight line: AMU= ion mass in atomic unit The table below contains transition energies E in units of keV and Ry, and provides the photoabsorption cross sections and absorption coefficient. These have been obtained from the f-FS file.. Table lists transitions for K-alpha -------------------------------------- Original BPSS osciallator strengths, cross sections, absorption coefficiets ---------------- Z=22, AMU= 47.87 E(keV) E(Ry) CS(Mb) AbsCf(cm2/g) Ci 1 = 1s Cj 3 = 2p 4.9673 3.65091E+02 1.0948E+00 1.3774E+04 4.9793 3.65971E+02 2.1818E+00 2.7449E+04 LS: 4.9753 3.65674E+02 3.2766E+00 4.1223E+04 Tot:No of trans= 2 Ekev= 4.975 f,CS,Absrp cf= 4.06E-01 3.28E+00 4.12E+04 Ci 1 = 1s1s Cj 3 = 1s2p 4.7558 3.49546E+02 6.0021E+00 7.5512E+04 4.7322 3.47812E+02 2.3903E-01 3.0072E+03 LS: 4.7550 3.49488E+02 6.0021E+00 7.5512E+04 Tot:No of trans= 2 Ekev= 4.755 f,CS,Absrp cf= 7.74E-01 6.24E+00 7.85E+04 Ci 1 = 1s1s2s Cj 11 = 1s2s2p 4.7214 3.47017E+02 1.4474E+00 1.8210E+04 4.7250 3.47282E+02 3.8381E+00 4.8287E+04 4.7376 3.48211E+02 5.4856E-01 6.9015E+03 4.7395 3.48344E+02 1.2326E-01 1.5508E+03 4.6875 3.44524E+02 7.2415E-03 9.1105E+01 4.6910 3.44785E+02 4.5170E-02 5.6829E+02 LS: 4.7318 3.47778E+02 5.9644E+00 7.5038E+04 Tot:No of trans= 6 Ekev= 4.732 f,CS,Absrp cf= 7.45E-01 6.01E+00 7.56E+04 Ci 1 = 1s1s2s2s Cj 28 = 1s2s2s2p 4.7071 3.45963E+02 5.2682E+00 6.6279E+04 4.6875 3.44524E+02 1.9716E-01 2.4805E+03 LS: 4.7076 3.46004E+02 5.2682E+00 6.6279E+04 Tot:No of trans= 2 Ekev= 4.708 f,CS,Absrp cf= 6.78E-01 5.47E+00 6.88E+04 Ci 1 = 1s1s2s2s2p Cj 23 = 1s2s2s2p2p 4.6716 3.43356E+02 2.3018E+00 2.8960E+04 4.6628 3.42710E+02 6.1095E-02 7.6864E+02 4.6734 3.43486E+02 2.0803E+00 2.6173E+04 4.6646 3.42839E+02 2.9557E-01 3.7186E+03 4.6646 3.42839E+02 1.3128E+00 1.6517E+04 4.6804 3.44004E+02 1.5771E-01 1.9841E+03 4.6734 3.43486E+02 2.3977E+00 3.0165E+04 4.6910 3.44785E+02 4.3191E-02 5.4338E+02 4.6840 3.44264E+02 4.6053E-01 5.7939E+03 4.6471 3.41554E+02 3.3354E-02 4.1962E+02 4.6401 3.41043E+02 1.1125E-03 1.3996E+01 4.6506 3.41811E+02 2.4677E-04 3.1046E+00 4.6436 3.41299E+02 1.4543E-02 1.8297E+02 4.6471 3.41554E+02 6.1501E-02 7.7375E+02 LS: 4.6713 3.43334E+02 4.5460E+00 5.7193E+04 Tot:No of trans= 14 Ekev= 4.671 f,CS,Absrp cf= 1.14E+00 9.22E+00 1.16E+05 Ci 1 = 1s1s2s2s2p2p Cj 17 = 1s2s2s2p2p2p 4.6384 3.40915E+02 2.6384E+00 3.3194E+04 4.6332 3.40533E+02 5.4656E-02 6.8763E+02 4.6297 3.40279E+02 5.2586E-02 6.6158E+02 4.6349 3.40661E+02 1.4118E+00 1.7762E+04 4.6297 3.40279E+02 1.7820E-02 2.2420E+02 4.6315 3.40406E+02 1.1020E+00 1.3864E+04 4.6453 3.41426E+02 8.9898E-01 1.1310E+04 4.6401 3.41043E+02 1.7180E+00 2.1615E+04 4.6367 3.40788E+02 6.5547E-01 8.2465E+03 4.6471 3.41554E+02 1.6744E-02 2.1066E+02 4.6419 3.41171E+02 1.0632E+00 1.3376E+04 4.6471 3.41554E+02 2.9325E-01 3.6893E+03 4.6523 3.41939E+02 3.6577E-02 4.6017E+02 4.6488 3.41682E+02 2.7508E-02 3.4608E+02 4.6453 3.41426E+02 6.7408E-01 8.4806E+03 4.6384 3.40915E+02 2.0652E+00 2.5982E+04 4.6488 3.41682E+02 9.0149E-01 1.1342E+04 4.6367 3.40788E+02 3.4006E+00 4.2783E+04 4.6108 3.38887E+02 1.3034E-02 1.6399E+02 4.6074 3.38635E+02 1.1205E-02 1.4098E+02 4.5971 3.37882E+02 2.4260E-04 3.0522E+00 4.6194 3.39518E+02 9.3758E-03 1.1796E+02 4.6074 3.38635E+02 2.1992E-03 2.7668E+01 4.6194 3.39518E+02 2.8139E-02 3.5401E+02 4.6211 3.39645E+02 1.4268E-01 1.7951E+03 4.6263 3.40025E+02 3.1263E-02 3.9331E+02 4.6142 3.39139E+02 7.6010E-05 9.5628E-01 4.6315 3.40406E+02 4.0719E-01 5.1229E+03 4.6332 3.40533E+02 1.7758E-02 2.2341E+02 4.6211 3.39645E+02 1.2757E-01 1.6049E+03 4.6541 3.42067E+02 3.7507E-02 4.7187E+02 4.6488 3.41682E+02 1.0849E-03 1.3649E+01 4.6681 3.43098E+02 5.9271E-03 7.4569E+01 4.6628 3.42710E+02 7.0634E-03 8.8864E+01 4.6593 3.42453E+02 3.3866E-03 4.2607E+01 LS: 4.6389 3.40953E+02 5.5771E+00 7.0165E+04 Tot:No of trans= 35 Ekev= 4.639 f,CS,Absrp cf= 2.22E+00 1.79E+01 2.25E+05 Ci 1 = 1s1s2s2s2p2p2p Cj 14 = 1s2s2s2p2p2p2p 4.6022 3.38258E+02 1.2692E+00 1.5968E+04 4.6057 3.38509E+02 8.8925E-01 1.1188E+04 4.6074 3.38635E+02 4.4035E-01 5.5400E+03 4.6057 3.38509E+02 1.9334E+00 2.4324E+04 4.6039 3.38384E+02 1.4259E-01 1.7939E+03 4.5954 3.37757E+02 1.2365E-01 1.5557E+03 4.5920 3.37506E+02 5.2153E-02 6.5613E+02 4.6091 3.38761E+02 9.1560E-04 1.1519E+01 4.6057 3.38509E+02 1.2046E+00 1.5155E+04 4.5954 3.37757E+02 8.0038E-01 1.0070E+04 4.6125 3.39013E+02 1.5217E-02 1.9145E+02 4.6108 3.38887E+02 1.2873E+00 1.6195E+04 4.6022 3.38258E+02 1.0546E+00 1.3267E+04 4.5988 3.38007E+02 5.5337E-01 6.9619E+03 4.6142 3.39139E+02 6.8407E-01 8.6063E+03 4.6039 3.38384E+02 1.3164E+00 1.6562E+04 4.6005 3.38133E+02 3.3727E-01 4.2432E+03 4.6159 3.39265E+02 1.3695E-01 1.7229E+03 4.6125 3.39013E+02 8.9101E-01 1.1210E+04 4.5869 3.37132E+02 2.6673E-02 3.3557E+02 4.5852 3.37007E+02 3.2083E-02 4.0363E+02 4.5734 3.36137E+02 1.3221E-03 1.6633E+01 4.5903 3.37381E+02 5.2912E-03 6.6568E+01 4.5886 3.37257E+02 9.2739E-03 1.1667E+02 4.5801 3.36634E+02 2.3489E-04 2.9551E+00 4.5768 3.36385E+02 7.8172E-03 9.8348E+01 4.5937 3.37631E+02 2.9775E-03 3.7460E+01 4.5818 3.36758E+02 1.3258E-02 1.6680E+02 4.5784 3.36509E+02 1.0645E-03 1.3392E+01 4.6211 3.39645E+02 1.0820E-02 1.3612E+02 4.6228 3.39771E+02 1.5992E-03 2.0119E+01 4.6280 3.40152E+02 1.1067E-02 1.3924E+02 4.6280 3.40152E+02 3.5683E-07 4.4893E-03 4.6401 3.41043E+02 1.7625E-03 2.2173E+01 4.6263 3.40025E+02 1.2847E-03 1.6163E+01 LS: 4.6040 3.38388E+02 1.3130E+01 1.6518E+05 Tot:No of trans= 35 Ekev= 4.604 f,CS,Absrp cf= 1.64E+00 1.33E+01 1.67E+05 Ci 1 = 1s1s2s2s2p2p2p2p Cj 18 = 1s2s2s2p2p2p2p2p 4.5751 3.36261E+02 1.2154E+00 1.5290E+04 4.5700 3.35889E+02 7.1444E-01 8.9884E+03 4.5784 3.36509E+02 4.8258E-01 6.0714E+03 4.5734 3.36137E+02 4.0227E-01 5.0610E+03 4.5734 3.36137E+02 1.7104E+00 2.1519E+04 4.5768 3.36385E+02 5.7253E-01 7.2029E+03 4.5784 3.36509E+02 1.6485E+00 2.0740E+04 4.5650 3.35518E+02 1.7215E+00 2.1658E+04 4.5616 3.35271E+02 7.1571E-02 9.0043E+02 4.5650 3.35518E+02 2.9310E-02 3.6875E+02 4.5516 3.34533E+02 7.2962E-03 9.1794E+01 4.5937 3.37631E+02 2.0653E-02 2.5983E+02 4.5869 3.37132E+02 2.6838E-02 3.3765E+02 4.5869 3.37132E+02 8.1607E-03 1.0267E+02 LS: 4.5751 3.36265E+02 2.8033E+00 3.5268E+04 Tot:No of trans= 14 Ekev= 4.575 f,CS,Absrp cf= 1.07E+00 8.63E+00 1.09E+05 Ci 1 = 1s1s2s2s2p2p2p2p2p Cj 16 = 1s2s2s2p2p2p2p2p2p 4.5432 3.33920E+02 8.6339E-01 1.0862E+04 4.5366 3.33431E+02 8.6221E-01 1.0847E+04 LS: 4.5412 3.33773E+02 8.6299E-01 1.0857E+04 Tot:No of trans= 2 Ekev= 4.541 f,CS,Absrp cf= 2.14E-01 1.73E+00 2.17E+04 **************************************************************************** 2) Table of spectral lines: It is Table 1 reduced to unique transition energies where photoexcitation cross sections at same transition energies are summed K-alpha lines: Processed data, in energy order, abs cf summed at same resonant energy ------------------------------------------ Number of Abs Cf= 70 : Sorted by energies - energy in Kev E(Mev) AC(Mb/mol) 4.5366 1.08470E+04 4.5432 1.08620E+04 4.5516 9.17940E+01 4.5616 9.00430E+02 4.5650 2.20268E+04 4.5700 8.98840E+03 4.5734 2.65966E+04 4.5751 1.52900E+04 4.5768 7.30125E+03 4.5784 2.68248E+04 4.5801 2.95510E+00 4.5818 1.66800E+02 4.5852 4.03630E+02 4.5869 7.75890E+02 4.5886 1.16670E+02 4.5903 6.65680E+01 4.5920 6.56130E+02 4.5937 2.97290E+02 4.5954 1.16257E+04 4.5971 3.05220E+00 4.5988 6.96190E+03 4.6005 4.24320E+03 4.6022 2.92350E+04 4.6039 1.83559E+04 4.6057 5.06670E+04 4.6074 5.70865E+03 4.6091 1.15190E+01 4.6108 1.63590E+04 4.6125 1.14015E+04 4.6142 8.60726E+03 4.6159 1.72290E+03 4.6194 4.71970E+02 4.6211 3.53612E+03 4.6228 2.01190E+01 4.6263 4.09473E+02 4.6280 1.39244E+02 4.6297 8.85780E+02 4.6315 1.89869E+04 4.6332 9.11040E+02 4.6349 1.77620E+04 4.6367 5.10295E+04 4.6384 5.91760E+04 4.6401 2.16512E+04 4.6419 1.33760E+04 4.6436 1.82970E+02 4.6453 1.97906E+04 4.6471 5.09333E+03 4.6488 1.17017E+04 4.6506 3.10460E+00 4.6523 4.60170E+02 4.6541 4.71870E+02 4.6593 4.26070E+01 4.6628 8.57504E+02 4.6646 2.02356E+04 4.6681 7.45690E+01 4.6716 2.89600E+04 4.6734 5.63380E+04 4.6804 1.98410E+03 4.6840 5.79390E+03 4.6875 2.57161E+03 4.6910 1.11167E+03 4.7071 6.62790E+04 4.7214 1.82100E+04 4.7250 4.82870E+04 4.7322 3.00720E+03 4.7376 6.90150E+03 4.7395 1.55080E+03 4.7558 7.55120E+04 4.9673 1.37740E+04 4.9793 2.74490E+04 4.7560E-03 1.37740E+04 -> interpolated point ------------------------------------------- Original BPSS osciallator strengths, cross sections, absorption coefficiets ------------------------------------------- Number of Abs Cf=112 : Sorted by energies E(kev) AC(Mb/mol) 4.5366E+00 1.08470E+04 4.5432E+00 1.08620E+04 4.5516E+00 9.17940E+01 4.5616E+00 9.00430E+02 4.5650E+00 2.16580E+04 4.5650E+00 3.68750E+02 4.5700E+00 8.98840E+03 4.5734E+00 1.66330E+01 4.5734E+00 5.06100E+03 4.5734E+00 2.15190E+04 4.5751E+00 1.52900E+04 4.5768E+00 9.83480E+01 4.5768E+00 7.20290E+03 4.5784E+00 1.33920E+01 4.5784E+00 6.07140E+03 4.5784E+00 2.07400E+04 4.5801E+00 2.95510E+00 4.5818E+00 1.66800E+02 4.5852E+00 4.03630E+02 4.5869E+00 3.35570E+02 4.5869E+00 3.37650E+02 4.5869E+00 1.02670E+02 4.5886E+00 1.16670E+02 4.5903E+00 6.65680E+01 4.5920E+00 6.56130E+02 4.5937E+00 3.74600E+01 4.5937E+00 2.59830E+02 4.5954E+00 1.55570E+03 4.5954E+00 1.00700E+04 4.5971E+00 3.05220E+00 4.5988E+00 6.96190E+03 4.6005E+00 4.24320E+03 4.6022E+00 1.59680E+04 4.6022E+00 1.32670E+04 4.6039E+00 1.79390E+03 4.6039E+00 1.65620E+04 4.6057E+00 1.11880E+04 4.6057E+00 2.43240E+04 4.6057E+00 1.51550E+04 4.6074E+00 1.40980E+02 4.6074E+00 2.76680E+01 4.6074E+00 5.54000E+03 4.6091E+00 1.15190E+01 4.6108E+00 1.63990E+02 4.6108E+00 1.61950E+04 4.6125E+00 1.91450E+02 4.6125E+00 1.12100E+04 4.6142E+00 9.56280E-01 4.6142E+00 8.60630E+03 4.6159E+00 1.72290E+03 4.6194E+00 1.17960E+02 4.6194E+00 3.54010E+02 4.6211E+00 1.79510E+03 4.6211E+00 1.60490E+03 4.6211E+00 1.36120E+02 4.6228E+00 2.01190E+01 4.6263E+00 3.93310E+02 4.6263E+00 1.61630E+01 4.6280E+00 1.39240E+02 4.6280E+00 4.48930E-03 4.6297E+00 6.61580E+02 4.6297E+00 2.24200E+02 4.6315E+00 1.38640E+04 4.6315E+00 5.12290E+03 4.6332E+00 6.87630E+02 4.6332E+00 2.23410E+02 4.6349E+00 1.77620E+04 4.6367E+00 8.24650E+03 4.6367E+00 4.27830E+04 4.6384E+00 3.31940E+04 4.6384E+00 2.59820E+04 4.6401E+00 1.39960E+01 4.6401E+00 2.16150E+04 4.6401E+00 2.21730E+01 4.6419E+00 1.33760E+04 4.6436E+00 1.82970E+02 4.6453E+00 1.13100E+04 4.6453E+00 8.48060E+03 4.6471E+00 4.19620E+02 4.6471E+00 7.73750E+02 4.6471E+00 2.10660E+02 4.6471E+00 3.68930E+03 4.6488E+00 3.46080E+02 4.6488E+00 1.13420E+04 4.6488E+00 1.36490E+01 4.6506E+00 3.10460E+00 4.6523E+00 4.60170E+02 4.6541E+00 4.71870E+02 4.6593E+00 4.26070E+01 4.6628E+00 7.68640E+02 4.6628E+00 8.88640E+01 4.6646E+00 3.71860E+03 4.6646E+00 1.65170E+04 4.6681E+00 7.45690E+01 4.6716E+00 2.89600E+04 4.6734E+00 2.61730E+04 4.6734E+00 3.01650E+04 4.6804E+00 1.98410E+03 4.6840E+00 5.79390E+03 4.6875E+00 9.11050E+01 4.6875E+00 2.48050E+03 4.6910E+00 5.68290E+02 4.6910E+00 5.43380E+02 4.7071E+00 6.62790E+04 4.7214E+00 1.82100E+04 4.7250E+00 4.82870E+04 4.7322E+00 3.00720E+03 4.7376E+00 6.90150E+03 4.7395E+00 1.55080E+03 4.7558E+00 7.55120E+04 4.9673E+00 1.37740E+04 4.9793E+00 2.74490E+04 *********************************************************************** 4) Background photoionization cross section of the element from NIST. The x-ray spectral lines can also appear as resonances on the background. -------------------------------------------------------------- Background cross sections, absorption coefficiets from NIST Atomic Number : 22 K-shell ionization: E = 4.966 keV, px = 6.86E+02 Edge Photon Scattering Photoelectric Pair Production Total Attenuation Energy Coherent Incoherent Absorption in Nuclear-field in Electron field with coherent w/o coherent scat MeV cm2/g cm2/g cm2/g cm2/g cm2/g cm2/g cm2/g MeV cm2/g cm2/g cm2/g cm2/g cm2/g cm2/g cm2/g 1.000E-03 3.69E+00 1.18E-02 5.86E+03 0.00E+00 0.00E+00 5.87E+03 5.86E+03 1.500E-03 3.39E+00 1.95E-02 2.09E+03 0.00E+00 0.00E+00 2.10E+03 2.09E+03 2.000E-03 3.09E+00 2.62E-02 9.83E+02 0.00E+00 0.00E+00 9.86E+02 9.83E+02 3.000E-03 2.58E+00 3.84E-02 3.30E+02 0.00E+00 0.00E+00 3.32E+02 3.30E+02 4.000E-03 2.16E+00 4.94E-02 1.50E+02 0.00E+00 0.00E+00 1.52E+02 1.50E+02 4.966E-03 1.82E+00 5.88E-02 8.19E+01 0.00E+00 0.00E+00 8.38E+01 8.20E+01 4.960E-03 1.82E+00 5.88E-02 8.10E+01 0.00E+00 0.00E+00 8.38E+01 8.20E+01 - k-edge (chosen) 4.966E-03 1.82E+00 5.88E-02 6.86E+02 0.00E+00 0.00E+00 6.88E+02 6.86E+02 22 K 5.000E-03 1.81E+00 5.91E-02 6.82E+02 0.00E+00 0.00E+00 6.84E+02 6.82E+02 6.000E-03 1.54E+00 6.77E-02 4.31E+02 0.00E+00 0.00E+00 4.32E+02 4.31E+02 8.000E-03 1.16E+00 8.16E-02 2.01E+02 0.00E+00 0.00E+00 2.02E+02 2.01E+02 1.000E-02 9.20E-01 9.19E-02 1.10E+02 0.00E+00 0.00E+00 1.11E+02 1.10E+02 1.500E-02 5.85E-01 1.09E-01 3.52E+01 0.00E+00 0.00E+00 3.59E+01 3.53E+01 2.000E-02 4.01E-01 1.20E-01 1.53E+01 0.00E+00 0.00E+00 1.59E+01 1.55E+01 3.000E-02 2.17E-01 1.31E-01 4.62E+00 0.00E+00 0.00E+00 4.97E+00 4.75E+00 4.000E-02 1.37E-01 1.35E-01 1.94E+00 0.00E+00 0.00E+00 2.21E+00 2.08E+00 5.000E-02 9.53E-02 1.36E-01 9.82E-01 0.00E+00 0.00E+00 1.21E+00 1.12E+00 6.000E-02 7.02E-02 1.36E-01 5.60E-01 0.00E+00 0.00E+00 7.66E-01 6.96E-01 8.000E-02 4.26E-02 1.33E-01 2.30E-01 0.00E+00 0.00E+00 4.05E-01 3.63E-01 1.000E-01 2.85E-02 1.29E-01 1.14E-01 0.00E+00 0.00E+00 2.72E-01 2.44E-01 1.500E-01 1.34E-02 1.19E-01 3.23E-02 0.00E+00 0.00E+00 1.65E-01 1.51E-01 2.000E-01 7.75E-03 1.10E-01 1.33E-02 0.00E+00 0.00E+00 1.31E-01 1.24E-01 3.000E-01 3.53E-03 9.68E-02 3.92E-03 0.00E+00 0.00E+00 1.04E-01 1.01E-01 4.000E-01 2.01E-03 8.71E-02 1.72E-03 0.00E+00 0.00E+00 9.08E-02 8.88E-02 5.000E-01 1.29E-03 7.97E-02 9.40E-04 0.00E+00 0.00E+00 8.19E-02 8.06E-02 6.000E-01 9.01E-04 7.38E-02 5.90E-04 0.00E+00 0.00E+00 7.53E-02 7.44E-02 8.000E-01 5.08E-04 6.49E-02 3.00E-04 0.00E+00 0.00E+00 6.57E-02 6.52E-02 1.000E+00 3.26E-04 5.84E-02 1.87E-04 0.00E+00 0.00E+00 5.89E-02 5.86E-02 1.022E+00 3.12E-04 5.78E-02 1.77E-04 0.00E+00 0.00E+00 5.83E-02 5.80E-02 1.250E+00 2.09E-04 5.22E-02 1.20E-04 5.57E-05 0.00E+00 5.26E-02 5.24E-02 1.500E+00 1.45E-04 4.75E-02 8.64E-05 2.90E-04 0.00E+00 4.80E-02 4.79E-02 2.000E+00 8.16E-05 4.05E-02 5.35E-05 1.12E-03 0.00E+00 4.18E-02 4.17E-02 2.044E+00 7.81E-05 4.00E-02 5.17E-05 1.21E-03 0.00E+00 4.14E-02 4.13E-02 3.000E+00 3.63E-05 3.19E-02 2.92E-05 3.13E-03 1.12E-05 3.51E-02 3.51E-02 4.000E+00 2.04E-05 2.66E-02 1.97E-05 5.03E-03 4.56E-05 3.17E-02 3.17E-02 5.000E+00 1.31E-05 2.30E-02 1.48E-05 6.71E-03 9.08E-05 2.98E-02 2.98E-02 6.000E+00 9.07E-06 2.03E-02 1.18E-05 8.20E-03 1.39E-04 2.87E-02 2.87E-02 7.000E+00 6.67E-06 1.83E-02 9.81E-06 9.53E-03 1.88E-04 2.80E-02 2.80E-02 8.000E+00 5.10E-06 1.66E-02 8.38E-06 1.07E-02 2.35E-04 2.76E-02 2.76E-02 9.000E+00 4.03E-06 1.53E-02 7.31E-06 1.18E-02 2.80E-04 2.74E-02 2.74E-02 1.000E+01 3.27E-06 1.41E-02 6.48E-06 1.28E-02 3.23E-04 2.73E-02 2.73E-02 1.100E+01 2.70E-06 1.32E-02 5.82E-06 1.37E-02 3.64E-04 2.73E-02 2.73E-02 1.200E+01 2.27E-06 1.24E-02 5.28E-06 1.45E-02 4.02E-04 2.73E-02 2.73E-02 1.300E+01 1.93E-06 1.17E-02 4.83E-06 1.53E-02 4.38E-04 2.74E-02 2.74E-02 1.400E+01 1.67E-06 1.10E-02 4.45E-06 1.60E-02 4.73E-04 2.75E-02 2.75E-02 1.500E+01 1.45E-06 1.05E-02 4.12E-06 1.66E-02 5.06E-04 2.76E-02 2.76E-02 1.600E+01 1.28E-06 9.98E-03 3.84E-06 1.72E-02 5.37E-04 2.78E-02 2.78E-02 1.800E+01 1.01E-06 9.12E-03 3.38E-06 1.84E-02 5.95E-04 2.81E-02 2.81E-02 2.000E+01 8.17E-07 8.41E-03 3.02E-06 1.94E-02 6.47E-04 2.84E-02 2.84E-02 2.200E+01 6.75E-07 7.81E-03 2.73E-06 2.03E-02 6.96E-04 2.88E-02 2.88E-02 2.400E+01 5.67E-07 7.30E-03 2.49E-06 2.11E-02 7.41E-04 2.92E-02 2.92E-02 2.600E+01 4.83E-07 6.85E-03 2.29E-06 2.19E-02 7.82E-04 2.95E-02 2.95E-02 2.800E+01 4.17E-07 6.46E-03 2.11E-06 2.26E-02 8.21E-04 2.99E-02 2.99E-02 3.000E+01 3.63E-07 6.12E-03 1.97E-06 2.32E-02 8.57E-04 3.02E-02 3.02E-02 4.000E+01 2.04E-07 4.87E-03 1.46E-06 2.59E-02 1.01E-03 3.17E-02 3.17E-02 5.000E+01 1.31E-07 4.06E-03 1.16E-06 2.78E-02 1.12E-03 3.30E-02 3.30E-02 6.000E+01 9.07E-08 3.50E-03 9.59E-07 2.94E-02 1.21E-03 3.41E-02 3.41E-02 8.000E+01 5.10E-08 2.76E-03 7.15E-07 3.17E-02 1.36E-03 3.58E-02 3.58E-02 1.000E+02 3.27E-08 2.29E-03 5.70E-07 3.33E-02 1.46E-03 3.71E-02 3.71E-02 1.500E+02 1.45E-08 1.63E-03 3.78E-07 3.60E-02 1.64E-03 3.92E-02 3.92E-02 2.000E+02 8.17E-09 1.28E-03 2.83E-07 3.76E-02 1.75E-03 4.06E-02 4.06E-02 3.000E+02 3.63E-09 9.06E-04 1.88E-07 3.95E-02 1.89E-03 4.23E-02 4.23E-02 4.000E+02 2.04E-09 7.10E-04 1.41E-07 4.06E-02 1.98E-03 4.33E-02 4.33E-02 5.000E+02 1.31E-09 5.88E-04 1.13E-07 4.14E-02 2.04E-03 4.40E-02 4.40E-02 6.000E+02 9.07E-10 5.03E-04 9.38E-08 4.19E-02 2.09E-03 4.45E-02 4.45E-02 8.000E+02 5.10E-10 3.93E-04 7.03E-08 4.26E-02 2.15E-03 4.52E-02 4.52E-02 1.000E+03 3.27E-10 3.23E-04 5.62E-08 4.31E-02 2.19E-03 4.56E-02 4.56E-02 1.500E+03 1.45E-10 2.26E-04 3.75E-08 4.38E-02 2.25E-03 4.62E-02 4.62E-02 2.000E+03 8.17E-11 1.75E-04 2.81E-08 4.41E-02 2.29E-03 4.66E-02 4.66E-02 3.000E+03 3.63E-11 1.21E-04 1.87E-08 4.45E-02 2.33E-03 4.70E-02 4.70E-02 4.000E+03 2.04E-11 9.38E-05 1.40E-08 4.48E-02 2.36E-03 4.72E-02 4.72E-02 5.000E+03 1.31E-11 7.67E-05 1.12E-08 4.49E-02 2.37E-03 4.73E-02 4.73E-02 6.000E+03 9.07E-12 6.50E-05 9.36E-09 4.50E-02 2.38E-03 4.74E-02 4.74E-02 8.000E+03 5.10E-12 5.01E-05 7.02E-09 4.51E-02 2.39E-03 4.76E-02 4.76E-02 1.000E+04 3.27E-12 4.09E-05 5.61E-09 4.52E-02 2.40E-03 4.76E-02 4.76E-02 1.500E+04 1.45E-12 2.83E-05 3.74E-09 4.53E-02 2.42E-03 4.77E-02 4.77E-02 2.000E+04 8.17E-13 2.17E-05 2.81E-09 4.54E-02 2.42E-03 4.78E-02 4.78E-02 3.000E+04 3.63E-13 1.50E-05 1.87E-09 4.54E-02 2.43E-03 4.79E-02 4.79E-02 4.000E+04 2.04E-13 1.15E-05 1.40E-09 4.55E-02 2.44E-03 4.79E-02 4.79E-02 5.000E+04 1.31E-13 9.37E-06 1.12E-09 4.55E-02 2.44E-03 4.79E-02 4.79E-02 6.000E+04 9.07E-14 7.92E-06 9.36E-10 4.55E-02 2.44E-03 4.79E-02 4.79E-02 8.000E+04 5.10E-14 6.07E-06 7.02E-10 4.55E-02 2.44E-03 4.80E-02 4.80E-02 1.000E+05 3.27E-14 4.94E-06 5.61E-10 4.55E-02 2.44E-03 4.80E-02 4.80E-02 -----------------------------------------------------------------------------