# Spherical average V_000 of the H4 surface for H2-size r1 = r2 = 1.449 bohrs # (SK and BMKP surfaces) and for USER-SUPPLIED {r1,r2} (for BMKP surface only); # energies in hartrees, distances in bohrs. # SK = J. Schaefer and W.E. Kohler, Z. Phys. D 13, 217 (1989). # BMKP = A.I. Boothroyd, P.G. Martin, W.J. Keogh, and M.R. Peterson, # J. Chem. Phys., 116, 666-689 (2002). # Note that the BMKP surface should be more accurate for R < 5 bohrs, roughly. # # For the SK surface, the absolute value of the largest anisotropic term is # also given (max|Vani| as well as V_000). # For the BMKP surface, V_000 is given both for r1 = r2 = 1.449 and for the # USER-SUPPLIED {r1,r2}; these were integrated numerically, and are only # calculated out to R = 11.0 bohrs. V[n/8] is the numerical integral for a # case where each of the 3 dimensions of the integral used only half as many # points as the final integral did; |dV[n/8]| is the absolute FRACTIONAL # difference between V and V[n/8]. |dVhilo| gives the absolute FRACTIONAL # difference between the maximum and minimum values of the BMKP H4 surface # over all points used in the integral (a measure of the BMKP anisotropy). # # ==========........... ========== ********** dVacc= 1.00E-05 Nmax= 128 # r1= 1.449 1.449 1.449 1.449000 # r2= 1.449 1.449 1.449 2.000000 ....fractional.... # R V_000(SK) max|aVan| V_000(BMKP) V_000(BMKP) V[n/8] |dV[n/8]| |dVhilo| #==== ========== ---------- ========== ********** ---------- -------- --------- 2.0 2.2220E-1 9.7151E-2 2.1129E-1 2.2029E-1 2.2030E-1 2.30E-05 9.346E-01 2.1 1.8839E-1 8.0624E-2 1.8023E-1 1.8717E-1 1.8717E-1 9.31E-07 9.045E-01 2.2 1.5971E-1 6.6898E-2 1.5389E-1 1.5952E-1 1.5953E-1 1.06E-05 8.676E-01 2.3 1.3537E-1 5.5502E-2 1.3144E-1 1.3629E-1 1.3629E-1 2.29E-06 8.287E-01 2.4 1.1473E-1 4.6040E-2 1.1226E-1 1.1663E-1 1.1663E-1 3.67E-06 7.892E-01 2.5 9.7220E-2 3.8183E-2 9.5828E-2 9.9942E-2 9.9942E-2 6.22E-06 7.510E-01 2.6 8.2372E-2 3.1664E-2 8.1743E-2 8.5728E-2 8.5728E-2 5.24E-06 7.130E-01 2.7 6.9783E-2 2.6254E-2 6.9653E-2 7.3589E-2 7.3589E-2 4.63E-06 6.760E-01 2.8 5.9110E-2 2.1764E-2 5.9268E-2 6.3191E-2 6.3192E-2 4.18E-06 6.424E-01 2.9 5.0064E-2 1.8040E-2 5.0340E-2 5.4258E-2 5.4258E-2 3.06E-06 6.131E-01 3.0 4.2390E-2 1.4950E-2 4.2665E-2 4.6558E-2 4.6559E-2 2.85E-06 5.875E-01 3.1 3.5826E-2 1.2415E-2 3.6068E-2 3.9902E-2 3.9902E-2 2.18E-06 5.666E-01 3.2 3.0188E-2 1.0343E-2 3.0406E-2 3.4132E-2 3.4132E-2 2.56E-06 5.510E-01 3.3 2.5378E-2 8.6422E-3 2.5554E-2 2.9124E-2 2.9124E-2 2.08E-06 5.411E-01 3.4 2.1294E-2 7.2410E-3 2.1408E-2 2.4776E-2 2.4776E-2 1.17E-05 5.367E-01 3.5 1.7836E-2 6.0838E-3 1.7876E-2 2.1004E-2 2.1004E-2 1.07E-05 5.370E-01 3.6 1.4914E-2 5.1255E-3 1.4879E-2 1.7740E-2 1.7740E-2 1.03E-05 5.413E-01 3.7 1.2451E-2 4.3306E-3 1.2347E-2 1.4925E-2 1.4925E-2 1.04E-05 5.486E-01 3.8 1.0378E-2 3.6679E-3 1.0216E-2 1.2507E-2 1.2507E-2 1.08E-05 5.581E-01 3.9 8.6264E-3 3.1211E-3 8.4323E-3 1.0440E-2 1.0440E-2 1.14E-05 5.685E-01 4.0 7.1186E-3 2.6925E-3 6.9444E-3 8.6796E-3 8.6797E-3 1.22E-05 5.789E-01 4.1 5.8213E-3 2.3605E-3 5.7074E-3 7.1882E-3 7.1883E-3 1.30E-05 5.884E-01 4.2 4.7402E-3 2.0819E-3 4.6815E-3 5.9295E-3 5.9295E-3 4.28E-06 5.962E-01 4.3 3.8528E-3 1.8376E-3 3.8315E-3 4.8709E-3 4.8709E-3 4.64E-06 6.018E-01 4.4 3.1217E-3 1.6256E-3 3.1272E-3 3.9831E-3 3.9832E-3 4.96E-06 6.049E-01 4.5 2.5193E-3 1.4414E-3 2.5430E-3 3.2406E-3 3.2406E-3 5.34E-06 6.054E-01 4.6 2.0234E-3 1.2810E-3 2.0575E-3 2.6210E-3 2.6210E-3 5.60E-06 6.038E-01 4.7 1.6155E-3 1.1410E-3 1.6535E-3 2.1052E-3 2.1053E-3 5.95E-06 6.184E-01 4.8 1.2811E-3 1.0187E-3 1.3170E-3 1.6770E-3 1.6770E-3 6.34E-06 6.330E-01 4.9 1.0043E-3 9.1142E-4 1.0368E-3 1.3227E-3 1.3227E-3 6.29E-06 6.470E-01 5.0 7.7178E-4 8.1693E-4 8.0401E-4 1.0305E-3 1.0305E-3 6.96E-06 6.650E-01 5.1 5.7972E-4 7.3385E-4 6.1142E-4 7.9085E-4 7.9086E-4 1.62E-05 6.882E-01 5.2 4.2567E-4 6.6091E-4 4.5310E-4 5.9533E-4 5.9534E-4 1.48E-05 7.226E-01 5.3 3.0276E-4 5.9672E-4 3.2406E-4 4.3689E-4 4.3690E-4 1.22E-05 7.686E-01 5.4 2.0450E-4 5.3998E-4 2.1998E-4 3.0947E-4 3.0948E-4 8.02E-06 8.337E-01 5.5 1.2547E-4 4.8968E-4 1.3705E-4 2.0785E-4 2.0785E-4 1.85E-06 9.240E-01 5.6 6.3058E-5 4.4541E-4 7.1863E-5 1.2751E-4 1.2751E-4 8.08E-06 1.044E+00 5.7 1.5001E-5 4.0672E-4 2.1390E-5 6.4620E-5 6.4620E-5 2.93E-06 1.203E+00 5.8 -2.2505E-5 3.9414E-4 -1.7054E-5 1.5885E-5 1.5885E-5 2.83E-06 1.402E+00 5.9 -5.1408E-5 3.7204E-4 -4.5805E-5 -2.1456E-5 -2.1456E-5 1.11E-06 1.641E+00 6.0 -7.3355E-5 3.4197E-4 -6.6859E-5 -4.9701E-5 -4.9701E-5 4.02E-06 1.921E+00 6.1 -8.9190E-5 3.1286E-4 -8.1878E-5 -7.0731E-5 -7.0731E-5 4.21E-07 1.804E+00 6.2 -9.9894E-5 2.8730E-4 -9.2219E-5 -8.6066E-5 -8.6066E-5 1.32E-06 1.597E+00 6.3 -1.0657E-4 2.6486E-4 -9.8963E-5 -9.6916E-5 -9.6916E-5 7.95E-07 1.457E+00 6.4 -1.1021E-4 2.4457E-4 -1.0296E-4 -1.0424E-4 -1.0424E-4 5.58E-07 1.352E+00 6.5 -1.1165E-4 2.2613E-4 -1.0485E-4 -1.0878E-4 -1.0878E-4 7.95E-07 1.269E+00 6.6 -1.1127E-4 2.0936E-4 -1.0514E-4 -1.1112E-4 -1.1112E-4 1.16E-06 1.197E+00 6.7 -1.0943E-4 1.9412E-4 -1.0420E-4 -1.1173E-4 -1.1173E-4 2.58E-06 1.134E+00 6.8 -1.0652E-4 1.8024E-4 -1.0231E-4 -1.1097E-4 -1.1097E-4 3.90E-06 1.078E+00 6.9 -1.0288E-4 1.6755E-4 -9.9704E-5 -1.0912E-4 -1.0912E-4 5.62E-06 1.026E+00 7.0 -9.8782E-5 1.5588E-4 -9.6539E-5 -1.0642E-4 -1.0642E-4 5.25E-06 9.799E-01 7.1 -9.4356E-5 1.4519E-4 -9.2958E-5 -1.0306E-4 -1.0306E-4 4.17E-06 9.386E-01 7.2 -8.9732E-5 1.3540E-4 -8.9072E-5 -9.9211E-5 -9.9212E-5 1.77E-06 9.022E-01 7.3 -8.5027E-5 1.2642E-4 -8.4973E-5 -9.5000E-5 -9.5000E-5 1.63E-06 8.705E-01 7.4 -8.0332E-5 1.1816E-4 -8.0740E-5 -9.0540E-5 -9.0540E-5 5.65E-07 8.432E-01 7.5 -7.5708E-5 1.1056E-4 -7.6436E-5 -8.5926E-5 -8.5926E-5 3.87E-07 8.196E-01 7.6 -7.1208E-5 1.0355E-4 -7.2117E-5 -8.1237E-5 -8.1237E-5 1.14E-06 7.991E-01 7.7 -6.6865E-5 9.7072E-5 -6.7829E-5 -7.6537E-5 -7.6537E-5 2.12E-06 7.810E-01 7.8 -6.2703E-5 9.1080E-5 -6.3608E-5 -7.1879E-5 -7.1879E-5 2.87E-06 7.646E-01 7.9 -5.8735E-5 8.5529E-5 -5.9486E-5 -6.7306E-5 -6.7306E-5 5.81E-06 7.491E-01 8.0 -5.4966E-5 8.0385E-5 -5.5487E-5 -6.2851E-5 -6.2851E-5 4.12E-06 7.341E-01 8.1 -5.1404E-5 7.5618E-5 -5.1630E-5 -5.8540E-5 -5.8540E-5 2.48E-06 7.189E-01 8.2 -4.8052E-5 7.1192E-5 -4.7930E-5 -5.4392E-5 -5.4393E-5 2.72E-06 7.032E-01 8.3 -4.4904E-5 6.7077E-5 -4.4398E-5 -5.0423E-5 -5.0423E-5 1.44E-06 6.866E-01 8.4 -4.1954E-5 6.3247E-5 -4.1039E-5 -4.6641E-5 -4.6641E-5 3.90E-07 6.689E-01 8.5 -3.9194E-5 5.9676E-5 -3.7858E-5 -4.3052E-5 -4.3052E-5 4.85E-07 6.500E-01 8.6 -3.6617E-5 5.6345E-5 -3.4856E-5 -3.9658E-5 -3.9658E-5 3.44E-07 6.299E-01 8.7 -3.4212E-5 5.3232E-5 -3.2033E-5 -3.6461E-5 -3.6461E-5 8.75E-07 6.085E-01 8.8 -3.1969E-5 5.0326E-5 -2.9385E-5 -3.3457E-5 -3.3457E-5 1.25E-06 5.859E-01 8.9 -2.9881E-5 4.7602E-5 -2.6908E-5 -3.0643E-5 -3.0643E-5 1.47E-06 5.621E-01 9.0 -2.7938E-5 4.5035E-5 -2.4599E-5 -2.8014E-5 -2.8014E-5 1.54E-06 5.371E-01 9.1 -2.6130E-5 4.2628E-5 -2.2450E-5 -2.5564E-5 -2.5564E-5 2.29E-06 5.110E-01 9.2 -2.4447E-5 4.0386E-5 -2.0455E-5 -2.3287E-5 -2.3287E-5 2.03E-06 4.839E-01 9.3 -2.2880E-5 3.8289E-5 -1.8606E-5 -2.1175E-5 -2.1175E-5 1.55E-06 4.559E-01 9.4 -2.1422E-5 3.6327E-5 -1.6897E-5 -1.9219E-5 -1.9219E-5 9.60E-07 4.464E-01 9.5 -2.0066E-5 3.4485E-5 -1.5321E-5 -1.7413E-5 -1.7413E-5 2.00E-06 4.586E-01 9.6 -1.8805E-5 3.2757E-5 -1.3869E-5 -1.5748E-5 -1.5748E-5 9.67E-07 4.719E-01 9.7 -1.7632E-5 3.1131E-5 -1.2534E-5 -1.4216E-5 -1.4216E-5 3.23E-07 4.867E-01 9.8 -1.6540E-5 2.9601E-5 -1.1309E-5 -1.2810E-5 -1.2810E-5 1.27E-06 5.028E-01 9.9 -1.5524E-5 2.8158E-5 -1.0187E-5 -1.1520E-5 -1.1520E-5 2.78E-06 5.203E-01 10.0 -1.4577E-5 2.6796E-5 -9.1607E-6 -1.0341E-5 -1.0341E-5 7.43E-06 5.390E-01 10.1 -1.3694E-5 2.5507E-5 -8.2243E-6 -9.2632E-6 -9.2633E-6 6.24E-06 5.590E-01 10.2 -1.2871E-5 2.4289E-5 -7.3712E-6 -8.2808E-6 -8.2809E-6 1.03E-05 5.803E-01 10.3 -1.2105E-5 2.3143E-5 -6.5953E-6 -7.3863E-6 -7.3864E-6 1.24E-05 6.027E-01 10.4 -1.1390E-5 2.2061E-5 -5.8908E-6 -6.5730E-6 -6.5732E-6 1.85E-05 6.262E-01 10.5 -1.0730E-5 2.1036E-5 -5.2519E-6 -5.8346E-6 -5.8347E-6 1.94E-05 6.502E-01 10.6 -1.0133E-5 2.0058E-5 -4.6731E-6 -5.1652E-6 -5.1654E-6 2.47E-05 6.749E-01 10.7 -9.5754E-6 1.9123E-5 -4.1492E-6 -4.5593E-6 -4.5594E-6 2.76E-05 7.018E-01 10.8 -9.0481E-6 1.8230E-5 -3.6755E-6 -4.0117E-6 -4.0118E-6 3.21E-05 7.338E-01 10.9 -8.5497E-6 1.7378E-5 -3.2476E-6 -3.5173E-6 -3.5175E-6 3.96E-05 7.675E-01 11.0 -8.0779E-6 1.6571E-5 -2.8615E-6 -3.0718E-6 -3.0719E-6 4.61E-05 7.994E-01 11.2 -7.2052E-6 1.5159E-5 11.4 -6.4413E-6 1.3888E-5 11.6 -5.7709E-6 1.2743E-5 11.8 -5.1811E-6 1.1709E-5 12.0 -4.6608E-6 1.0773E-5 12.5 -3.6071E-6 8.8004E-6 13.0 -2.8224E-6 7.2449E-6 13.5 -2.2307E-6 6.0077E-6 14.0 -1.7793E-6 5.0152E-6 14.5 -1.4314E-6 4.2130E-6 15.0 -1.1606E-6 3.5599E-6 15.5 -9.4796E-7 3.0245E-6 16.0 -7.7954E-7 2.5828E-6 16.5 -6.4512E-7 2.2163E-6 17.0 -5.3706E-7 1.9104E-6 17.5 -4.4959E-7 1.6538E-6 18.0 -3.7834E-7 1.4374E-6 18.5 -3.1995E-7 1.2542E-6 19.0 -2.7184E-7 1.0982E-6 19.5 -2.3197E-7 9.6497E-7 20.0 -1.9878E-7 8.5065E-7