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Alf
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I think you got the fusion reaction slightly wrong, what is happening in the end is

\begin{eqnarray} ^{2}\mbox{H} +\ ^{2}\mbox{H} &\rightarrow& ^{3}\mbox{H} +\ ^{1}\mbox{H}\\ ^{2}\mbox{H} +\ ^{2}\mbox{H} &\rightarrow& ^{3}\mbox{He} + \mbox{n}, \end{eqnarray}

which both have approximately the same probability to occur. Note that the released kinetic energy is not included in the reactions above.

Insert the atomic masses results in

\begin{eqnarray} 2.01410177812\cdot u + 2.01410177812\cdot u &=& 3.0160492779\cdot u + 1.00782503223\cdot u + x_1\\ 2.01410177812\cdot u + 2.01410177812\cdot u &=& 3.0160293201 \cdot u + 1.00866491588\cdot u + x_2 \end{eqnarray}

where $x_{1,2}$ corresponds to the released energy. The data for the atomic masses is from the NIST website and from wikipedia.

Solving that equationthe equatione yields

\begin{eqnarray} x_1 &\approx& 0.00432924611\cdot u\\ x_2 &\approx& 0.00350932026\cdot u \end{eqnarray}

corresponding to ($1\cdot u$ corresponds approximately to $931.5$ MeV)

\begin{eqnarray} x_1 &\approx& 4.03\,\mathrm{MeV}\\ x_2 &\approx& 3.27\,\mathrm{MeV}. \end{eqnarray}

So this is the released energy for both reactions, does the reaction ''equation'' now makes more sense to you?

I think you got the fusion reaction slightly wrong, what is happening in the end is

\begin{eqnarray} ^{2}\mbox{H} +\ ^{2}\mbox{H} &\rightarrow& ^{3}\mbox{H} +\ ^{1}\mbox{H}\\ ^{2}\mbox{H} +\ ^{2}\mbox{H} &\rightarrow& ^{3}\mbox{He} + \mbox{n}, \end{eqnarray}

which both have approximately the same probability to occur. Note that the released kinetic energy is not included in the reactions above.

Insert the atomic masses results in

\begin{eqnarray} 2.01410177812\cdot u + 2.01410177812\cdot u &=& 3.0160492779\cdot u + 1.00782503223\cdot u + x_1\\ 2.01410177812\cdot u + 2.01410177812\cdot u &=& 3.0160293201 \cdot u + 1.00866491588\cdot u + x_2 \end{eqnarray}

where $x_{1,2}$ corresponds to the released energy. The data for the atomic masses is from the NIST website and from wikipedia.

Solving that equation yields

\begin{eqnarray} x_1 &\approx& 0.00432924611\cdot u\\ x_2 &\approx& 0.00350932026\cdot u \end{eqnarray}

corresponding to ($1\cdot u$ corresponds approximately to $931.5$ MeV)

\begin{eqnarray} x_1 &\approx& 4.03\,\mathrm{MeV}\\ x_2 &\approx& 3.27\,\mathrm{MeV}. \end{eqnarray}

So this is the released energy for both reactions, does the reaction ''equation'' now makes more sense to you?

I think you got the fusion reaction slightly wrong, what is happening in the end is

\begin{eqnarray} ^{2}\mbox{H} +\ ^{2}\mbox{H} &\rightarrow& ^{3}\mbox{H} +\ ^{1}\mbox{H}\\ ^{2}\mbox{H} +\ ^{2}\mbox{H} &\rightarrow& ^{3}\mbox{He} + \mbox{n}, \end{eqnarray}

which both have approximately the same probability to occur. Note that the released kinetic energy is not included in the reactions above.

Insert the atomic masses results in

\begin{eqnarray} 2.01410177812\cdot u + 2.01410177812\cdot u &=& 3.0160492779\cdot u + 1.00782503223\cdot u + x_1\\ 2.01410177812\cdot u + 2.01410177812\cdot u &=& 3.0160293201 \cdot u + 1.00866491588\cdot u + x_2 \end{eqnarray}

where $x_{1,2}$ corresponds to the released energy. The data for the atomic masses is from the NIST website and from wikipedia.

Solving the equatione yields

\begin{eqnarray} x_1 &\approx& 0.00432924611\cdot u\\ x_2 &\approx& 0.00350932026\cdot u \end{eqnarray}

corresponding to ($1\cdot u$ corresponds approximately to $931.5$ MeV)

\begin{eqnarray} x_1 &\approx& 4.03\,\mathrm{MeV}\\ x_2 &\approx& 3.27\,\mathrm{MeV}. \end{eqnarray}

So this is the released energy for both reactions, does the reaction ''equation'' now makes more sense to you?

Source Link
Alf
  • 2k
  • 13
  • 35

I think you got the fusion reaction slightly wrong, what is happening in the end is

\begin{eqnarray} ^{2}\mbox{H} +\ ^{2}\mbox{H} &\rightarrow& ^{3}\mbox{H} +\ ^{1}\mbox{H}\\ ^{2}\mbox{H} +\ ^{2}\mbox{H} &\rightarrow& ^{3}\mbox{He} + \mbox{n}, \end{eqnarray}

which both have approximately the same probability to occur. Note that the released kinetic energy is not included in the reactions above.

Insert the atomic masses results in

\begin{eqnarray} 2.01410177812\cdot u + 2.01410177812\cdot u &=& 3.0160492779\cdot u + 1.00782503223\cdot u + x_1\\ 2.01410177812\cdot u + 2.01410177812\cdot u &=& 3.0160293201 \cdot u + 1.00866491588\cdot u + x_2 \end{eqnarray}

where $x_{1,2}$ corresponds to the released energy. The data for the atomic masses is from the NIST website and from wikipedia.

Solving that equation yields

\begin{eqnarray} x_1 &\approx& 0.00432924611\cdot u\\ x_2 &\approx& 0.00350932026\cdot u \end{eqnarray}

corresponding to ($1\cdot u$ corresponds approximately to $931.5$ MeV)

\begin{eqnarray} x_1 &\approx& 4.03\,\mathrm{MeV}\\ x_2 &\approx& 3.27\,\mathrm{MeV}. \end{eqnarray}

So this is the released energy for both reactions, does the reaction ''equation'' now makes more sense to you?