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Neutron Velocity Calculator

Easily calculate neutron velocity from energy with our free Neutron Velocity Calculator. Quick, accurate, and simple tool for students and researchers.

Ever wondered how fast a neutron moves? Our Neutron Velocity Calculator helps you find that in seconds. You just enter the neutron’s energy, and the tool instantly shows its velocity in meters per second, kilometers per second, or even as a fraction of light speed.

This calculator was built for students, engineers, and science lovers who want quick and accurate neutron speed results — without getting lost in complex physics.

What Is Neutron Velocity?

Neutron velocity is the speed at which a neutron travels. It depends on the neutron’s kinetic energy. When the energy increases, the neutron moves faster. In nuclear science, understanding neutron speed helps us predict how nuclear reactions behave.

For example, in a nuclear reactor, “fast neutrons” and “thermal neutrons” act very differently. That’s why knowing their velocity is so important.

Neutron Velocity Formula

The formula used in our calculator comes from the classic text Introduction to Nuclear Engineering by Lamarsh and Baratta (2001):

Vn = 1.383 × 10⁶ × √E / 100

Where:

  • Vn = Neutron velocity in meters per second (m/s)
  • E = Neutron energy in electron volts (eV)

So, if you know the neutron’s energy, you can find its velocity by taking the square root of that energy, dividing by 100, then multiplying by 1.383 × 10⁶.

Example Calculation

Let’s say the neutron energy is 500 eV.

Vn = 1.383 × 10⁶ × √(500) / 100

Vn = 1.383 × 10⁶ × 22.36 / 100

Vn = 309,248.2 m/s

That means the neutron moves at about 309 km per second — pretty fast, right?

How to Use the Neutron Velocity Calculator

Using this calculator is as easy as pie.

  1. Enter the neutron’s energy. You can choose the unit — eV, keV, MeV, or Joules.
  2. Pick your preferred output unit — m/s, km/s, cm/s, mph, or fraction of light speed (c).
  3. Hit Calculate.

In an instant, you’ll see the full step-by-step process:

  • The given data
  • Unit conversions
  • The applied formula
  • The final neutron velocity

You’ll even see how the energy value was converted and how each step of the math was done.

Why Measuring Neutron Velocity Matters

Measuring how fast neutrons move is key in many fields. In nuclear reactors, it helps control chain reactions safely. In medical imaging, it helps produce accurate neutron-based scans. And in scientific experiments, it helps understand the tiny world inside atoms.

The faster the neutron moves, the more energy it carries — and that affects how it interacts with matter.

Final Verdict

Our Neutron Velocity Calculator turns a tough physics equation into a quick and simple result. You don’t need to memorize formulas or worry about conversions. Just enter your values and get accurate results in seconds.

Whether you’re a student learning about nuclear science or a researcher verifying data, this tool saves time and helps you stay focused on what matters — understanding the physics behind it all.

FAQs

What is the velocity of a neutron?

The neutron velocity depends on its energy. For example, a neutron with 500 eV of energy moves at about 309,248 m/s.

What units can I use in this calculator?

You can input energy in eV, keV, MeV, or Joules, and the result can be shown in m/s, km/s, cm/s, mph, or as a fraction of light speed (c).

Can neutron velocity be measured directly?

Not easily. Neutrons have no charge, so scientists use time-of-flight methods or detectors that estimate speed based on energy.

What’s the link between energy and velocity?

They’re directly related. When energy increases, velocity increases too. The relationship follows the formula Vn = 1.383 × 10⁶ × √E / 100.