# a + a + n > Be9 + g   [a_a_n__Be9_g]   ref=NACRE, Angulo et al. 1999
# forward[T9] = With[{T932=T9^(3/2),T923=T9^(2/3),T913=T9^(1/3)}, With[{he4abe8= 2.43*^9*(1.+74.5*T9)/T923*Exp[-13.49/T913-(T9/0.15)^2]+6.09*^5/T932*Exp[-1.054/T9]}, If[T9<0.03, (he4abe8)* 6.69*^-12*(1.-192*T9+2.48*^4*T9^2-1.50*^6*T9^3+4.13*^7*T9^4-3.90*^8*T9^5), (he4abe8)* 2.42*^-12*(1.-1.52*Log10[T9]+0.448*(Log10[T9])^2+0.435*(Log10[T9])^3)]]]   uncertainty factor f = 1.25
# T9                 rate                error
1.000000e-03   3.764203e-59   1.250000e+00
1.009262e-03   5.653831e-59   1.250000e+00
1.018610e-03   8.481205e-59   1.250000e+00
1.028045e-03   1.270629e-58   1.250000e+00
1.037567e-03   1.901202e-58   1.250000e+00
1.047177e-03   2.841107e-58   1.250000e+00
1.056876e-03   4.240320e-58   1.250000e+00
1.066665e-03   6.320664e-58   1.250000e+00
1.076545e-03   9.409828e-58   1.250000e+00
1.086516e-03   1.399127e-57   1.250000e+00
1.096579e-03   2.077738e-57   1.250000e+00
1.106736e-03   3.081656e-57   1.250000e+00
1.116987e-03   4.564980e-57   1.250000e+00
1.127333e-03   6.753932e-57   1.250000e+00
1.137774e-03   9.980195e-57   1.250000e+00
1.148312e-03   1.472949e-56   1.250000e+00
1.158948e-03   2.171222e-56   1.250000e+00
1.169683e-03   3.196613e-56   1.250000e+00
1.180517e-03   4.700532e-56   1.250000e+00
1.191451e-03   6.903616e-56   1.250000e+00
1.202486e-03   1.012699e-55   1.250000e+00
1.213624e-03   1.483748e-55   1.250000e+00
1.224865e-03   2.171286e-55   1.250000e+00
1.236210e-03   3.173607e-55   1.250000e+00
1.247660e-03   4.633078e-55   1.250000e+00
1.259216e-03   6.755668e-55   1.250000e+00
1.270879e-03   9.838991e-55   1.250000e+00
1.282650e-03   1.431259e-54   1.250000e+00
1.294530e-03   2.079564e-54   1.250000e+00
1.306520e-03   3.017970e-54   1.250000e+00
1.318621e-03   4.374692e-54   1.250000e+00
1.330835e-03   6.333901e-54   1.250000e+00
1.343161e-03   9.159844e-54   1.250000e+00
1.355602e-03   1.323120e-53   1.250000e+00
1.368158e-03   1.909003e-53   1.250000e+00
1.380830e-03   2.751132e-53   1.250000e+00
1.393619e-03   3.960182e-53   1.250000e+00
1.406527e-03   5.694026e-53   1.250000e+00
1.419555e-03   8.177600e-53   1.250000e+00
1.432703e-03   1.173102e-52   1.250000e+00
1.445973e-03   1.680934e-52   1.250000e+00
1.459366e-03   2.405871e-52   1.250000e+00
1.472883e-03   3.439552e-52   1.250000e+00
1.486525e-03   4.911803e-52   1.250000e+00
1.500293e-03   7.006338e-52   1.250000e+00
1.514189e-03   9.982831e-52   1.250000e+00
1.528214e-03   1.420791e-51   1.250000e+00
1.542369e-03   2.019865e-51   1.250000e+00
1.556654e-03   2.868345e-51   1.250000e+00
1.571072e-03   4.068728e-51   1.250000e+00
1.585624e-03   5.765087e-51   1.250000e+00
1.600310e-03   8.159703e-51   1.250000e+00
1.615133e-03   1.153627e-50   1.250000e+00
1.630092e-03   1.629225e-50   1.250000e+00
1.645191e-03   2.298382e-50   1.250000e+00
1.660429e-03   3.238846e-50   1.250000e+00
1.675808e-03   4.559183e-50   1.250000e+00
1.691330e-03   6.410823e-50   1.250000e+00
1.706995e-03   9.004755e-50   1.250000e+00
1.722805e-03   1.263464e-49   1.250000e+00
1.738762e-03   1.770876e-49   1.250000e+00
1.754867e-03   2.479414e-49   1.250000e+00
1.771121e-03   3.467744e-49   1.250000e+00
1.787526e-03   4.844886e-49   1.250000e+00
1.804082e-03   6.761765e-49   1.250000e+00
1.820792e-03   9.427095e-49   1.250000e+00
1.837656e-03   1.312921e-48   1.250000e+00
1.854677e-03   1.826599e-48   1.250000e+00
1.871855e-03   2.538596e-48   1.250000e+00
1.889193e-03   3.524446e-48   1.250000e+00
1.906691e-03   4.888061e-48   1.250000e+00
1.924351e-03   6.772235e-48   1.250000e+00
1.942175e-03   9.372999e-48   1.250000e+00
1.960163e-03   1.295919e-47   1.250000e+00
1.978319e-03   1.789908e-47   1.250000e+00
1.996642e-03   2.469671e-47   1.250000e+00
2.015136e-03   3.404114e-47   1.250000e+00
2.033800e-03   4.687349e-47   1.250000e+00
2.052638e-03   6.447774e-47   1.250000e+00
2.071650e-03   8.860397e-47   1.250000e+00
2.090838e-03   1.216351e-46   1.250000e+00
2.110203e-03   1.668122e-46   1.250000e+00
2.129749e-03   2.285399e-46   1.250000e+00
2.149475e-03   3.127968e-46   1.250000e+00
2.169384e-03   4.276913e-46   1.250000e+00
2.189477e-03   5.842079e-46   1.250000e+00
2.209756e-03   7.972140e-46   1.250000e+00
2.230223e-03   1.086811e-45   1.250000e+00
2.250880e-03   1.480152e-45   1.250000e+00
2.271728e-03   2.013878e-45   1.250000e+00
2.292769e-03   2.737384e-45   1.250000e+00
2.314005e-03   3.717196e-45   1.250000e+00
2.335438e-03   5.042823e-45   1.250000e+00
2.357069e-03   6.834580e-45   1.250000e+00
2.378901e-03   9.254035e-45   1.250000e+00
2.400935e-03   1.251795e-44   1.250000e+00
2.423173e-03   1.691683e-44   1.250000e+00
2.445617e-03   2.283968e-44   1.250000e+00
2.468268e-03   3.080688e-44   1.250000e+00
2.491130e-03   4.151388e-44   1.250000e+00
2.514203e-03   5.588924e-44   1.250000e+00
2.537490e-03   7.517160e-44   1.250000e+00
2.560993e-03   1.010116e-43   1.250000e+00
2.584714e-03   1.356070e-43   1.250000e+00
2.608654e-03   1.818812e-43   1.250000e+00
2.632815e-03   2.437190e-43   1.250000e+00
2.657201e-03   3.262783e-43   1.250000e+00
2.681813e-03   4.364011e-43   1.250000e+00
2.706652e-03   5.831542e-43   1.250000e+00
2.731722e-03   7.785427e-43   1.250000e+00
2.757023e-03   1.038447e-42   1.250000e+00
2.782559e-03   1.383853e-42   1.250000e+00
2.808332e-03   1.842473e-42   1.250000e+00
2.834343e-03   2.450863e-42   1.250000e+00
2.860596e-03   3.257204e-42   1.250000e+00
2.887091e-03   4.324944e-42   1.250000e+00
2.913832e-03   5.737553e-42   1.250000e+00
2.940820e-03   7.604751e-42   1.250000e+00
2.968059e-03   1.007063e-41   1.250000e+00
2.995549e-03   1.332427e-41   1.250000e+00
3.023295e-03   1.761352e-41   1.250000e+00
3.051297e-03   2.326304e-41   1.250000e+00
3.079559e-03   3.069769e-41   1.250000e+00
3.108082e-03   4.047297e-41   1.250000e+00
3.136870e-03   5.331459e-41   1.250000e+00
3.165924e-03   7.016976e-41   1.250000e+00
3.195248e-03   9.227375e-41   1.250000e+00
3.224842e-03   1.212361e-40   1.250000e+00
3.254712e-03   1.591523e-40   1.250000e+00
3.284857e-03   2.087479e-40   1.250000e+00
3.315282e-03   2.735653e-40   1.250000e+00
3.345989e-03   3.582045e-40   1.250000e+00
3.376980e-03   4.686337e-40   1.250000e+00
3.408259e-03   6.125900e-40   1.250000e+00
3.439826e-03   8.000948e-40   1.250000e+00
3.471687e-03   1.044118e-39   1.250000e+00
3.503842e-03   1.361431e-39   1.250000e+00
3.536296e-03   1.773704e-39   1.250000e+00
3.569049e-03   2.308912e-39   1.250000e+00
3.602107e-03   3.003140e-39   1.250000e+00
3.635470e-03   3.902900e-39   1.250000e+00
3.669142e-03   5.068087e-39   1.250000e+00
3.703127e-03   6.575777e-39   1.250000e+00
3.737426e-03   8.525065e-39   1.250000e+00
3.772042e-03   1.104326e-38   1.250000e+00
3.806980e-03   1.429380e-38   1.250000e+00
3.842241e-03   1.848629e-38   1.250000e+00
3.877828e-03   2.388939e-38   1.250000e+00
3.913746e-03   3.084715e-38   1.250000e+00
3.949995e-03   3.979983e-38   1.250000e+00
3.986581e-03   5.131034e-38   1.250000e+00
4.023506e-03   6.609787e-38   1.250000e+00
4.060772e-03   8.508058e-38   1.250000e+00
4.098384e-03   1.094297e-37   1.250000e+00
4.136344e-03   1.406382e-37   1.250000e+00
4.174655e-03   1.806075e-37   1.250000e+00
4.213322e-03   2.317578e-37   1.250000e+00
4.252346e-03   2.971670e-37   1.250000e+00
4.291732e-03   3.807463e-37   1.250000e+00
4.331483e-03   4.874625e-37   1.250000e+00
4.371602e-03   6.236177e-37   1.250000e+00
4.412093e-03   7.972031e-37   1.250000e+00
4.452959e-03   1.018343e-36   1.250000e+00
4.494203e-03   1.299857e-36   1.250000e+00
4.535829e-03   1.657962e-36   1.250000e+00
4.577841e-03   2.113161e-36   1.250000e+00
4.620241e-03   2.691355e-36   1.250000e+00
4.663035e-03   3.425244e-36   1.250000e+00
4.706225e-03   4.356075e-36   1.250000e+00
4.749815e-03   5.535846e-36   1.250000e+00
4.793808e-03   7.030059e-36   1.250000e+00
4.838210e-03   8.921168e-36   1.250000e+00
4.883022e-03   1.131289e-35   1.250000e+00
4.928250e-03   1.433561e-35   1.250000e+00
4.973896e-03   1.815311e-35   1.250000e+00
5.019965e-03   2.297096e-35   1.250000e+00
5.066461e-03   2.904708e-35   1.250000e+00
5.113388e-03   3.670475e-35   1.250000e+00
5.160749e-03   4.634896e-35   1.250000e+00
5.208549e-03   5.848668e-35   1.250000e+00
5.256791e-03   7.375218e-35   1.250000e+00
5.305481e-03   9.293834e-35   1.250000e+00
5.354621e-03   1.170358e-34   1.250000e+00
5.404216e-03   1.472813e-34   1.250000e+00
5.454271e-03   1.852179e-34   1.250000e+00
5.504790e-03   2.327696e-34   1.250000e+00
5.555776e-03   2.923338e-34   1.250000e+00
5.607235e-03   3.668957e-34   1.250000e+00
5.659170e-03   4.601700e-34   1.250000e+00
5.711586e-03   5.767766e-34   1.250000e+00
5.764488e-03   7.224570e-34   1.250000e+00
5.817880e-03   9.043419e-34   1.250000e+00
5.871766e-03   1.131283e-33   1.250000e+00
5.926152e-03   1.414258e-33   1.250000e+00
5.981041e-03   1.766878e-33   1.250000e+00
6.036439e-03   2.206005e-33   1.250000e+00
6.092349e-03   2.752513e-33   1.250000e+00
6.148778e-03   3.432234e-33   1.250000e+00
6.205729e-03   4.277107e-33   1.250000e+00
6.263207e-03   5.326603e-33   1.250000e+00
6.321218e-03   6.629473e-33   1.250000e+00
6.379767e-03   8.245886e-33   1.250000e+00
6.438857e-03   1.025006e-32   1.250000e+00
6.498495e-03   1.273350e-32   1.250000e+00
6.558686e-03   1.580893e-32   1.250000e+00
6.619433e-03   1.961515e-32   1.250000e+00
6.680744e-03   2.432297e-32   1.250000e+00
6.742622e-03   3.014245e-32   1.250000e+00
6.805074e-03   3.733176e-32   1.250000e+00
6.868104e-03   4.620805e-32   1.250000e+00
6.931717e-03   5.716065e-32   1.250000e+00
6.995920e-03   7.066722e-32   1.250000e+00
7.060718e-03   8.731349e-32   1.250000e+00
7.126115e-03   1.078172e-31   1.250000e+00
7.192119e-03   1.330576e-31   1.250000e+00
7.258734e-03   1.641106e-31   1.250000e+00
7.325965e-03   2.022926e-31   1.250000e+00
7.393820e-03   2.492132e-31   1.250000e+00
7.462303e-03   3.068389e-31   1.250000e+00
7.531420e-03   3.775714e-31   1.250000e+00
7.601178e-03   4.643419e-31   1.250000e+00
7.671581e-03   5.707261e-31   1.250000e+00
7.742637e-03   7.010830e-31   1.250000e+00
7.814351e-03   8.607236e-31   1.250000e+00
7.886729e-03   1.056115e-30   1.250000e+00
7.959777e-03   1.295130e-30   1.250000e+00
8.033502e-03   1.587340e-30   1.250000e+00
8.107910e-03   1.944384e-30   1.250000e+00
8.183007e-03   2.380402e-30   1.250000e+00
8.258799e-03   2.912564e-30   1.250000e+00
8.335294e-03   3.561705e-30   1.250000e+00
8.412497e-03   4.353096e-30   1.250000e+00
8.490415e-03   5.317372e-30   1.250000e+00
8.569055e-03   6.491645e-30   1.250000e+00
8.648423e-03   7.920851e-30   1.250000e+00
8.728527e-03   9.659370e-30   1.250000e+00
8.809372e-03   1.177297e-29   1.250000e+00
8.890966e-03   1.434114e-29   1.250000e+00
8.973316e-03   1.745993e-29   1.250000e+00
9.056428e-03   2.124528e-29   1.250000e+00
9.140311e-03   2.583712e-29   1.250000e+00
9.224970e-03   3.140418e-29   1.250000e+00
9.310413e-03   3.814984e-29   1.250000e+00
9.396648e-03   4.631913e-29   1.250000e+00
9.483682e-03   5.620699e-29   1.250000e+00
9.571522e-03   6.816836e-29   1.250000e+00
9.660175e-03   8.263005e-29   1.250000e+00
9.749649e-03   1.001050e-28   1.250000e+00
9.839952e-03   1.212095e-28   1.250000e+00
9.931092e-03   1.466831e-28   1.250000e+00
1.002308e-02   1.774135e-28   1.250000e+00
1.011591e-02   2.144647e-28   1.250000e+00
1.020961e-02   2.591122e-28   1.250000e+00
1.030417e-02   3.128836e-28   1.250000e+00
1.039961e-02   3.776073e-28   1.250000e+00
1.049593e-02   4.554709e-28   1.250000e+00
1.059315e-02   5.490898e-28   1.250000e+00
1.069126e-02   6.615894e-28   1.250000e+00
1.079029e-02   7.967023e-28   1.250000e+00
1.089023e-02   9.588832e-28   1.250000e+00
1.099110e-02   1.153446e-27   1.250000e+00
1.109290e-02   1.386727e-27   1.250000e+00
1.119564e-02   1.666273e-27   1.250000e+00
1.129934e-02   2.001073e-27   1.250000e+00
1.140400e-02   2.401824e-27   1.250000e+00
1.150962e-02   2.881248e-27   1.250000e+00
1.161623e-02   3.454469e-27   1.250000e+00
1.172382e-02   4.139451e-27   1.250000e+00
1.183241e-02   4.957527e-27   1.250000e+00
1.194200e-02   5.934007e-27   1.250000e+00
1.205261e-02   7.098910e-27   1.250000e+00
1.216424e-02   8.487813e-27   1.250000e+00
1.227691e-02   1.014286e-26   1.250000e+00
1.239062e-02   1.211394e-26   1.250000e+00
1.250539e-02   1.446008e-26   1.250000e+00
1.262121e-02   1.725109e-26   1.250000e+00
1.273811e-02   2.056946e-26   1.250000e+00
1.285610e-02   2.451263e-26   1.250000e+00
1.297517e-02   2.919562e-26   1.250000e+00
1.309535e-02   3.475414e-26   1.250000e+00
1.321664e-02   4.134821e-26   1.250000e+00
1.333906e-02   4.916642e-26   1.250000e+00
1.346261e-02   5.843090e-26   1.250000e+00
1.358730e-02   6.940315e-26   1.250000e+00
1.371315e-02   8.239084e-26   1.250000e+00
1.384016e-02   9.775581e-26   1.250000e+00
1.396835e-02   1.159233e-25   1.250000e+00
1.409773e-02   1.373930e-25   1.250000e+00
1.422830e-02   1.627515e-25   1.250000e+00
1.436009e-02   1.926873e-25   1.250000e+00
1.449310e-02   2.280080e-25   1.250000e+00
1.462733e-02   2.696605e-25   1.250000e+00
1.476281e-02   3.187547e-25   1.250000e+00
1.489955e-02   3.765905e-25   1.250000e+00
1.503755e-02   4.446903e-25   1.250000e+00
1.517683e-02   5.248359e-25   1.250000e+00
1.531740e-02   6.191120e-25   1.250000e+00
1.545928e-02   7.299570e-25   1.250000e+00
1.560246e-02   8.602215e-25   1.250000e+00
1.574698e-02   1.013237e-24   1.250000e+00
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9.908228e+00   1.530756e-08   1.250000e+00
1.000000e+01   1.522526e-08   1.250000e+00
