Do Quick Calculation!

Perform fast calculations with our user-friendly online calculator! Conveniently crunch numbers and solve equations instantly. Ideal for quick math tasks, our tool simplifies your daily computations effortlessly. Try our intuitive calculator for accurate results on the go!

Stopping Power Calculator

Easily calculate stopping power online with our Stopping Power Calculator. Get accurate results with steps and formula for physics and particle energy loss.

Silicon: Z=14, A=28.085 g/mol, I=173 eV, ρ=2.329 g/cm³

Ever wondered how fast-moving particles lose energy when passing through a material? That’s what Stopping Power is all about. Our Stopping Power Calculator helps you find that energy loss easily and accurately. You don’t need to do long physics equations the calculator does it all for you with simple inputs and clear steps.

We built this tool so you can instantly calculate Stopping Power for protons, alpha particles, and other ions in materials like silicon, copper, or water. It uses the Bethe Bloch formula, the same one used by scientists at CERN and NASA.

What Is Stopping Power?

Stopping Power tells how much energy a charged particle loses as it moves through matter. In simple terms, it measures how “hard” the material resists the particle’s movement.

If a proton passes through silicon, it slows down as it collides with electrons inside the atoms. The faster it goes, the more energy it loses per unit length.

We express it in MeV/cm (linear stopping power) or MeV·cm²/g (mass stopping power).

How Is Stopping Power Calculated?

The calculator uses the Bethe Bloch equation, a well-known physics formula that defines how charged particles lose energy.

Here’s the equation in a simple text form:

−dE/dx = K × (Z/A) × (z²/β²) × [ln(2 mₑ c² β² γ² Tₘₐₓ / I²) − 2β²]

Where:

  • K = 0.307075 MeV·cm²/mol
  • Z = Atomic number of the material
  • A = Atomic mass (g/mol)
  • z = Charge number of the particle
  • β = v/c (velocity ratio)
  • γ = Lorentz factor = 1 + T/M
  • I = Mean excitation potential (in eV)
  • Tₘₐₓ = Maximum energy transfer in one collision

Once you input the particle and material data, the calculator finds β, γ, Tₘₐₓ, and then computes mass and linear stopping power automatically.

For example, a 100 MeV proton in silicon has about 4.7 MeV·cm²/g mass stopping power and 10.9 MeV/cm linear stopping power.

How to Use the Stopping Power Calculator

Using this tool is super easy. You don’t need advanced physics skills. Just follow these steps:

  1. Choose your particle type (proton, alpha, deuteron, or custom).
  2. Pick a material (like silicon, aluminum, carbon, or water).
  3. Enter the energy value (in keV, MeV, or GeV).
  4. Hit the Calculate button.

You’ll instantly get:

  • Relativistic parameters (γ and β)
  • Maximum energy transfer
  • Logarithmic term
  • Mass stopping power (S/ρ)
  • Linear stopping power (S)

The tool also shows every step, so you’ll see how the value was calculated, not just the final result.

Why This Calculator Is Special

Most online tools just give a number. Ours explains the full process. You’ll see how each term in the Bethe–Bloch formula changes with particle energy and material type.

It’s like having a personal physics assistant. You’ll understand the science while getting quick results.

Real-World Example

Think of a proton beam hitting a silicon detector in a particle accelerator. The detector’s response depends on how much energy the proton loses its stopping power.

Our calculator simulates that. It’s used in nuclear physics, radiation therapy, and space research to predict energy deposition in materials.

Final Verdict

If you’ve ever struggled with complex energy loss formulas, this calculator will make life easier. It combines scientific precision with user-friendly design.

You’ll get instant, step-by-step results that match professional data tables like NIST PSTAR. Whether you’re a student, researcher, or engineer, it’s a fast and reliable way to calculate stopping power for any material or particle.

FAQs

What is stopping power in simple words?

Stopping power means how much energy a charged particle loses while moving through a substance.

What formula does the calculator use?

It uses the Bethe–Bloch equation, the standard physics model for energy loss of charged particles.

What’s the difference between linear and mass stopping power?

Linear stopping power is energy loss per unit distance (MeV/cm).

Mass stopping power is per unit mass thickness (MeV·cm²/g).

Can I use this calculator for electrons?

This tool works best for heavy charged particles. Electrons need extra corrections because of radiation effects.

Is it accurate?

Yes. It follows the same constants and methods used by NIST and CERN.