# 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
1.018629e-03   8.488089e-59   1.250000e+00
1.037605e-03   1.904270e-58   1.250000e+00
1.056935e-03   4.250524e-58   1.250000e+00
1.076624e-03   9.439844e-58   1.250000e+00
1.096681e-03   2.085974e-57   1.250000e+00
1.117111e-03   4.586565e-57   1.250000e+00
1.137921e-03   1.003493e-56   1.250000e+00
1.159120e-03   2.184749e-56   1.250000e+00
1.180713e-03   4.733283e-56   1.250000e+00
1.202708e-03   1.020493e-55   1.250000e+00
1.225114e-03   2.189558e-55   1.250000e+00
1.247936e-03   4.675357e-55   1.250000e+00
1.271184e-03   9.935679e-55   1.250000e+00
1.294865e-03   2.101441e-54   1.250000e+00
1.318987e-03   4.423706e-54   1.250000e+00
1.343558e-03   9.268660e-54   1.250000e+00
1.368587e-03   1.932955e-53   1.250000e+00
1.394083e-03   4.012477e-53   1.250000e+00
1.420053e-03   8.290903e-53   1.250000e+00
1.446507e-03   1.705303e-52   1.250000e+00
1.473454e-03   3.491595e-52   1.250000e+00
1.500903e-03   7.116730e-52   1.250000e+00
1.528864e-03   1.444054e-51   1.250000e+00
1.557345e-03   2.917055e-51   1.250000e+00
1.586357e-03   5.866455e-51   1.250000e+00
1.615909e-03   1.174596e-50   1.250000e+00
1.646012e-03   2.341502e-50   1.250000e+00
1.676675e-03   4.647352e-50   1.250000e+00
1.707910e-03   9.184025e-50   1.250000e+00
1.739726e-03   1.807126e-49   1.250000e+00
1.772136e-03   3.540651e-49   1.250000e+00
1.805149e-03   6.907624e-49   1.250000e+00
1.838777e-03   1.341950e-48   1.250000e+00
1.873032e-03   2.596075e-48   1.250000e+00
1.907924e-03   5.001299e-48   1.250000e+00
1.943467e-03   9.594982e-48   1.250000e+00
1.979672e-03   1.833211e-47   1.250000e+00
2.016551e-03   3.488181e-47   1.250000e+00
2.054117e-03   6.610200e-47   1.250000e+00
2.092383e-03   1.247586e-46   1.250000e+00
2.131362e-03   2.345186e-46   1.250000e+00
2.171068e-03   4.390829e-46   1.250000e+00
2.211512e-03   8.188206e-46   1.250000e+00
2.252711e-03   1.520950e-45   1.250000e+00
2.294676e-03   2.814078e-45   1.250000e+00
2.337424e-03   5.186365e-45   1.250000e+00
2.380968e-03   9.521528e-45   1.250000e+00
2.425323e-03   1.741316e-44   1.250000e+00
2.470504e-03   3.172392e-44   1.250000e+00
2.516527e-03   5.757647e-44   1.250000e+00
2.563407e-03   1.041030e-43   1.250000e+00
2.611161e-03   1.875218e-43   1.250000e+00
2.659804e-03   3.365283e-43   1.250000e+00
2.709354e-03   6.017051e-43   1.250000e+00
2.759826e-03   1.071886e-42   1.250000e+00
2.811239e-03   1.902511e-42   1.250000e+00
2.863610e-03   3.364576e-42   1.250000e+00
2.916956e-03   5.928824e-42   1.250000e+00
2.971296e-03   1.041005e-41   1.250000e+00
3.026648e-03   1.821352e-41   1.250000e+00
3.083031e-03   3.175431e-41   1.250000e+00
3.140465e-03   5.516834e-41   1.250000e+00
3.198969e-03   9.551389e-41   1.250000e+00
3.258562e-03   1.647948e-40   1.250000e+00
3.319266e-03   2.833554e-40   1.250000e+00
3.381101e-03   4.855587e-40   1.250000e+00
3.444087e-03   8.292492e-40   1.250000e+00
3.508247e-03   1.411473e-39   1.250000e+00
3.573602e-03   2.394503e-39   1.250000e+00
3.640175e-03   4.048784e-39   1.250000e+00
3.707988e-03   6.823563e-39   1.250000e+00
3.777064e-03   1.146269e-38   1.250000e+00
3.847427e-03   1.919383e-38   1.250000e+00
3.919100e-03   3.203673e-38   1.250000e+00
3.992109e-03   5.330367e-38   1.250000e+00
4.066478e-03   8.840969e-38   1.250000e+00
4.142232e-03   1.461800e-37   1.250000e+00
4.219398e-03   2.409533e-37   1.250000e+00
4.298001e-03   3.959550e-37   1.250000e+00
4.378069e-03   6.486922e-37   1.250000e+00
4.459628e-03   1.059553e-36   1.250000e+00
4.542706e-03   1.725480e-36   1.250000e+00
4.627332e-03   2.801635e-36   1.250000e+00
4.713535e-03   4.535647e-36   1.250000e+00
4.801343e-03   7.321582e-36   1.250000e+00
4.890787e-03   1.178474e-35   1.250000e+00
4.981898e-03   1.891456e-35   1.250000e+00
5.074705e-03   3.027230e-35   1.250000e+00
5.169242e-03   4.831467e-35   1.250000e+00
5.265540e-03   7.689687e-35   1.250000e+00
5.363631e-03   1.220523e-34   1.250000e+00
5.463550e-03   1.931978e-34   1.250000e+00
5.565331e-03   3.049925e-34   1.250000e+00
5.669007e-03   4.801953e-34   1.250000e+00
5.774615e-03   7.540495e-34   1.250000e+00
5.882190e-03   1.180989e-33   1.250000e+00
5.991770e-03   1.844877e-33   1.250000e+00
6.103390e-03   2.874583e-33   1.250000e+00
6.217090e-03   4.467649e-33   1.250000e+00
6.332908e-03   6.926124e-33   1.250000e+00
6.450884e-03   1.071073e-32   1.250000e+00
6.571058e-03   1.652247e-32   1.250000e+00
6.693470e-03   2.542541e-32   1.250000e+00
6.818162e-03   3.903081e-32   1.250000e+00
6.945178e-03   5.977268e-32   1.250000e+00
7.074559e-03   9.131926e-32   1.250000e+00
7.206351e-03   1.391858e-31   1.250000e+00
7.340598e-03   2.116452e-31   1.250000e+00
7.477346e-03   3.210779e-31   1.250000e+00
7.616642e-03   4.859689e-31   1.250000e+00
7.758532e-03   7.338535e-31   1.250000e+00
7.903066e-03   1.105654e-30   1.250000e+00
8.050292e-03   1.662052e-30   1.250000e+00
8.200261e-03   2.492817e-30   1.250000e+00
8.353023e-03   3.730455e-30   1.250000e+00
8.508632e-03   5.570105e-30   1.250000e+00
8.667139e-03   8.298493e-30   1.250000e+00
8.828599e-03   1.233596e-29   1.250000e+00
8.993067e-03   1.829731e-29   1.250000e+00
9.160598e-03   2.707977e-29   1.250000e+00
9.331251e-03   3.998971e-29   1.250000e+00
9.505083e-03   5.892487e-29   1.250000e+00
9.682153e-03   8.663579e-29   1.250000e+00
9.862522e-03   1.270999e-28   1.250000e+00
1.004625e-02   1.860555e-28   1.250000e+00
1.023340e-02   2.717623e-28   1.250000e+00
1.042404e-02   3.960820e-28   1.250000e+00
1.061823e-02   5.760093e-28   1.250000e+00
1.081604e-02   8.358371e-28   1.250000e+00
1.101753e-02   1.210209e-27   1.250000e+00
1.122277e-02   1.748415e-27   1.250000e+00
1.143184e-02   2.520419e-27   1.250000e+00
1.164481e-02   3.625299e-27   1.250000e+00
1.186174e-02   5.203035e-27   1.250000e+00
1.208271e-02   7.450929e-27   1.250000e+00
1.230780e-02   1.064643e-26   1.250000e+00
1.253708e-02   1.517881e-26   1.250000e+00
1.277063e-02   2.159290e-26   1.250000e+00
1.300854e-02   3.064964e-26   1.250000e+00
1.325087e-02   4.340925e-26   1.250000e+00
1.349772e-02   6.134576e-26   1.250000e+00
1.374917e-02   8.650398e-26   1.250000e+00
1.400531e-02   1.217144e-25   1.250000e+00
1.426621e-02   1.708873e-25   1.250000e+00
1.453198e-02   2.394129e-25   1.250000e+00
1.480269e-02   3.347086e-25   1.250000e+00
1.507845e-02   4.669615e-25   1.250000e+00
1.535935e-02   6.501395e-25   1.250000e+00
1.564548e-02   9.033642e-25   1.250000e+00
1.593694e-02   1.252775e-24   1.250000e+00
1.623382e-02   1.734062e-24   1.250000e+00
1.653624e-02   2.395901e-24   1.250000e+00
1.684430e-02   3.304625e-24   1.250000e+00
1.715809e-02   4.550575e-24   1.250000e+00
1.747773e-02   6.256751e-24   1.250000e+00
1.780332e-02   8.590597e-24   1.250000e+00
1.813498e-02   1.178012e-23   1.250000e+00
1.847281e-02   1.613598e-23   1.250000e+00
1.881694e-02   2.208177e-23   1.250000e+00
1.916748e-02   3.019581e-23   1.250000e+00
1.952456e-02   4.126888e-23   1.250000e+00
1.988828e-02   5.638437e-23   1.250000e+00
2.025878e-02   7.703012e-23   1.250000e+00
2.063618e-02   1.052553e-22   1.250000e+00
2.102061e-02   1.438928e-22   1.250000e+00
2.141220e-02   1.968764e-22   1.250000e+00
2.181109e-02   2.697026e-22   1.250000e+00
2.221741e-02   3.701131e-22   1.250000e+00
2.263130e-02   5.091345e-22   1.250000e+00
2.305289e-02   7.027115e-22   1.250000e+00
2.348235e-02   9.743801e-22   1.250000e+00
2.391980e-02   1.359823e-21   1.250000e+00
2.436540e-02   1.914962e-21   1.250000e+00
2.481930e-02   2.730848e-21   1.250000e+00
2.528166e-02   3.961832e-21   1.250000e+00
2.575263e-02   5.879907e-21   1.250000e+00
2.623238e-02   8.980749e-21   1.250000e+00
2.672106e-02   1.419167e-20   1.250000e+00
2.721885e-02   2.327941e-20   1.250000e+00
2.772591e-02   3.964675e-20   1.250000e+00
2.824241e-02   6.987864e-20   1.250000e+00
2.876854e-02   1.267175e-19   1.250000e+00
2.930447e-02   2.347322e-19   1.250000e+00
2.985038e-02   4.410030e-19   1.250000e+00
3.040646e-02   7.818171e-19   1.250000e+00
3.097291e-02   1.385886e-18   1.250000e+00
3.154990e-02   2.452052e-18   1.250000e+00
3.213764e-02   4.318947e-18   1.250000e+00
3.273634e-02   7.559291e-18   1.250000e+00
3.334618e-02   1.313117e-17   1.250000e+00
3.396739e-02   2.261997e-17   1.250000e+00
3.460016e-02   3.862103e-17   1.250000e+00
3.524473e-02   6.533800e-17   1.250000e+00
3.590130e-02   1.095084e-16   1.250000e+00
3.657011e-02   1.818200e-16   1.250000e+00
3.725137e-02   2.990546e-16   1.250000e+00
3.794533e-02   4.873012e-16   1.250000e+00
3.865221e-02   7.867184e-16   1.250000e+00
3.937226e-02   1.258527e-15   1.250000e+00
4.010573e-02   1.995172e-15   1.250000e+00
4.085286e-02   3.134942e-15   1.250000e+00
4.161391e-02   4.882815e-15   1.250000e+00
4.238913e-02   7.539869e-15   1.250000e+00
4.317880e-02   1.154443e-14   1.250000e+00
4.398317e-02   1.752908e-14   1.250000e+00
4.480254e-02   2.639893e-14   1.250000e+00
4.563716e-02   3.943809e-14   1.250000e+00
4.648734e-02   5.845341e-14   1.250000e+00
4.735335e-02   8.596645e-14   1.250000e+00
4.823549e-02   1.254682e-13   1.250000e+00
4.913407e-02   1.817536e-13   1.250000e+00
5.004939e-02   2.613579e-13   1.250000e+00
5.098176e-02   3.731205e-13   1.250000e+00
5.193150e-02   5.289077e-13   1.250000e+00
5.289893e-02   7.445327e-13   1.250000e+00
5.388438e-02   1.040915e-12   1.250000e+00
5.488820e-02   1.445534e-12   1.250000e+00
5.591071e-02   1.994232e-12   1.250000e+00
5.695227e-02   2.733439e-12   1.250000e+00
5.801323e-02   3.722889e-12   1.250000e+00
5.909396e-02   5.038925e-12   1.250000e+00
6.019482e-02   6.778477e-12   1.250000e+00
6.131619e-02   9.063813e-12   1.250000e+00
6.245845e-02   1.204819e-11   1.250000e+00
6.362198e-02   1.592249e-11   1.250000e+00
6.480720e-02   2.092303e-11   1.250000e+00
6.601449e-02   2.734054e-11   1.250000e+00
6.724427e-02   3.553061e-11   1.250000e+00
6.849697e-02   4.592556e-11   1.250000e+00
6.977300e-02   5.904799e-11   1.250000e+00
7.107280e-02   7.552594e-11   1.250000e+00
7.239681e-02   9.610997e-11   1.250000e+00
7.374549e-02   1.216921e-10   1.250000e+00
7.511929e-02   1.533264e-10   1.250000e+00
7.651869e-02   1.922522e-10   1.250000e+00
7.794416e-02   2.399181e-10   1.250000e+00
7.939618e-02   2.980093e-10   1.250000e+00
8.087525e-02   3.684750e-10   1.250000e+00
8.238187e-02   4.535588e-10   1.250000e+00
8.391656e-02   5.558299e-10   1.250000e+00
8.547985e-02   6.782153e-10   1.250000e+00
8.707225e-02   8.240330e-10   1.250000e+00
8.869432e-02   9.970256e-10   1.250000e+00
9.034660e-02   1.201394e-09   1.250000e+00
9.202967e-02   1.441831e-09   1.250000e+00
9.374409e-02   1.723552e-09   1.250000e+00
9.549045e-02   2.052327e-09   1.250000e+00
9.726934e-02   2.434510e-09   1.250000e+00
9.908137e-02   2.877060e-09   1.250000e+00
1.009272e-01   3.387568e-09   1.250000e+00
1.028073e-01   3.974274e-09   1.250000e+00
1.047225e-01   4.646077e-09   1.250000e+00
1.066734e-01   5.412546e-09   1.250000e+00
1.086606e-01   6.283919e-09   1.250000e+00
1.106848e-01   7.271098e-09   1.250000e+00
1.127468e-01   8.385640e-09   1.250000e+00
1.148472e-01   9.639730e-09   1.250000e+00
1.169866e-01   1.104616e-08   1.250000e+00
1.191660e-01   1.261828e-08   1.250000e+00
1.213859e-01   1.436998e-08   1.250000e+00
1.236472e-01   1.631559e-08   1.250000e+00
1.259506e-01   1.846987e-08   1.250000e+00
1.282970e-01   2.084789e-08   1.250000e+00
1.306870e-01   2.346499e-08   1.250000e+00
1.331216e-01   2.633666e-08   1.250000e+00
1.356015e-01   2.947847e-08   1.250000e+00
1.381276e-01   3.290595e-08   1.250000e+00
1.407008e-01   3.663449e-08   1.250000e+00
1.433219e-01   4.067924e-08   1.250000e+00
1.459919e-01   4.505494e-08   1.250000e+00
1.487115e-01   4.977589e-08   1.250000e+00
1.514819e-01   5.485574e-08   1.250000e+00
1.543038e-01   6.030739e-08   1.250000e+00
1.571784e-01   6.614292e-08   1.250000e+00
1.601064e-01   7.237338e-08   1.250000e+00
1.630891e-01   7.900875e-08   1.250000e+00
1.661273e-01   8.605776e-08   1.250000e+00
1.692220e-01   9.352782e-08   1.250000e+00
1.723745e-01   1.014249e-07   1.250000e+00
1.755856e-01   1.097535e-07   1.250000e+00
1.788566e-01   1.185164e-07   1.250000e+00
1.821885e-01   1.277146e-07   1.250000e+00
1.855825e-01   1.373477e-07   1.250000e+00
1.890397e-01   1.474131e-07   1.250000e+00
1.925614e-01   1.579065e-07   1.250000e+00
1.961486e-01   1.688216e-07   1.250000e+00
1.998026e-01   1.801502e-07   1.250000e+00
2.035248e-01   1.918823e-07   1.250000e+00
2.073162e-01   2.040059e-07   1.250000e+00
2.111783e-01   2.165070e-07   1.250000e+00
2.151123e-01   2.293698e-07   1.250000e+00
2.191197e-01   2.425766e-07   1.250000e+00
2.232016e-01   2.561081e-07   1.250000e+00
2.273597e-01   2.699431e-07   1.250000e+00
2.315951e-01   2.840589e-07   1.250000e+00
2.359095e-01   2.984312e-07   1.250000e+00
2.403043e-01   3.130343e-07   1.250000e+00
2.447809e-01   3.278412e-07   1.250000e+00
2.493409e-01   3.428235e-07   1.250000e+00
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