Deuteron Mass - Definition, Properties, MeV, AMU, FAQs

What is Deuteron

A deuteron is a very small (tiny) part of an atom, which is a type of hydrogen atom called heavy hydrogen or deuterium. Deutron has one neutron and one proton inside it.

Deuteron symbol is represented as 12D. A non-aligned atom of 2H is termed as deuterium. It is the unpretentious bound state of nucleons and thus gives us an ideal system for learning the nucleon-nucleon interaction. For nuclear physicists, the deuterons should be what the hydrogen atoms are for atomic physicists.

Mass of Deuterium

$
\begin{array}{|l|l|}
\hline \text { Form of Mass } & \text { Value } \\
\hline \text { Mass in Atomic Mass Units (amu) } & 2.013553212745(40) \mathrm{u} \\
\hline \text { Mass in MeV/c² } & 1875.612928(12) \mathrm{MeV} / \mathrm{c}^2 \\
\hline \text { Mass in Kilograms (kg) } & 3.3435837724 \times 10^{-27} \mathrm{~kg} \\
\hline \text { Mass in Grams (g) } & 3.3435837724 \times 10^{-24} \mathrm{~g} \\
\hline \text { Mass in Joules (J) (via } E=m c^2 \text { ) } & 3.005 \times 10^{-10} \mathrm{~J} \\
\hline \text { Mass in Electron Volts (eV) } & 1.875612928 \times 10^9 \mathrm{eV} \\
\hline \text { Mass in Energy Equivalent (GeV) } & 1.875612928 \mathrm{GeV} \\
\hline
\end{array}
$

Difference Between Deuteron and Deuterium

History of Deutron

Deuteron gets its name from the Greek word “deuteros”, which means “second”. It refers to the two particles that make up the nucleus. Harold Urey first discovered it in 1931. Deuteron’s stability has been noteworthy since its discovery.

Properties of Deuteron

• Composition: A deuteron is the nucleus of deuterium (heavy hydrogen) and is made up of one proton and one neutron.
• Charge: Since it has one proton, its charge is $\mathbf{+ 1 e}$, the same as that of a proton.
• Mass: The mass of a deuteron is approximately $\mathbf{3 . 3 4 3} \times \mathbf{1 0}^{\mathbf{- 2 7}} \mathbf{~ k g}$, which is slightly less than the combined mass of a free proton and neutron due to binding energy.
• Spin: A deuteron has a spin quantum number of 1, meaning it is a boson.
• Magnetic Moment: The magnetic dipole moment of a deuteron is 0.857 nuclear magnetons ( $\mu_n$ ).
• Binding Energy: The binding energy of the deuteron is $\mathbf{2 . 2 2 4} \mathbf{~ M e V}$, showing how strongly the proton and neutron are held together.
• Stability: Deuterons are stable and do not undergo radioactive decay.

Deuteron Mass and Charge

After knowing about properties of deuteron, now move to the mass and charge of deuteron.

Let us explain deuteron Mass and Charge. Deuterium is an atomic particle with a proton and neutron that is stable. Hydrogen-2 is indicated by the letters D or 2H. The mass of a deuteron is measured in atomic mass units (2.0135 amu) or million electron volts (1875.612928 MeV). The deuteron has a charge of +1e. This is because protons are present.

Why Is Deuteron Mass Important in Nuclear Physics?

The deuteron is the nucleus of deuterium, made up of one proton and one neutron. Its mass is important in nuclear physics because it helps in calculating the binding energy of the nucleus using Einstein’s mass–energy equivalence.
The difference between the mass of the deuteron and the sum of the masses of a proton and a neutron is called the mass defect. This shows how strongly the particles are bound together. Thus, the mass of the deuteron helps us understand nuclear forces and energy changes in nuclear reactions.

Comparison with Proton and Neutron

The mass of a deuteron is approximately equal to the combined mass of a proton and a neutron. A proton has a mass of about 1.0073 amu, and a neutron has a mass of about 1.0087 amu. However, the mass of the deuteron is slightly less than their sum.

This difference is due to the binding energy of the nucleus, explained by Einstein’s mass–energy equivalence. The missing mass is called the mass defect, which represents the energy that holds the proton and neutron together.

Thus, the mass of the deuteron is an important example showing how energy and mass are related in nuclear systems.

Measurement of Binding Energy of Deuteron

The binding energy of a deuteron is the amount of energy required to separate it into its two particles one proton and one neutron. It tells us how strongly these particles are held together in the nucleus.

To measure this energy, we use the mass defect method.
1. Find the masses:

• Mass of proton $=1.007825 \mathrm{u}$
• Mass of neutron $=1.008665 \mathrm{u}$
• Mass of deuteron $=2.014102 \mathrm{u}$

2. Calculate mass defect ( $\Delta \mathrm{m}$ ):

$
\begin{gathered}
\Delta m=\left(m_p+m_n\right)-m_d \\
\Delta m=(1.007825+1.008665)-2.014102=0.002388 u
\end{gathered}
$

3. Convert mass defect to energy:

$
1 u=931.5 \mathrm{MeV}
$

$
\text { Binding Energy }(\mathrm{B})=0.002388 \times 931.5=2.224 \mathrm{MeV}
$

Applications of Deuteron Mass

Nuclear Fusion Research:

• Key role in fusion reactions like deuterium-tritium fusion.
• Studied in reactors such as ITER for clean energy production.

Medical Applications:

• Used in neutron therapy for cancer treatment.
• Deuteron mass helps calculate the energy levels required.

Particle Accelerators:

• Deuterons are accelerated for nuclear physics experiments.
• Mass is crucial for determining energy and speed in accelerators.

Nuclear Reaction Calculations:

• Vital for calculating binding energy and reaction rates.
• Helps understand energy output in fusion and fission processes.

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