de Broglie Wavelength Calculator

Calculate the matter wave wavelength λ = h/mv for any particle.

⚛️ de Broglie: λ = h / p = h / (mv)

Common particles:

m – Mass of particle kg

v – Velocity m/s

p – Momentum (kg·m/s)

KE – Kinetic Energy eV

⚠ Enter valid values.

de Broglie Equation

λ = h / (m × v)

Wavelength (λ)

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⚛️ de Broglie Hypothesis

λ = h / p = h / (mv)

λ = h / √(2mKE)

h = Planck's constant = 6.626 × 10⁻³⁴ J·s
m = particle mass (kg)
v = velocity (m/s)
p = momentum = mv (kg·m/s)

📖 Example

✅ Electron at 1% speed of light

m = 9.109×10⁻³¹ kg, v = 0.01c = 3×10⁶ m/s

λ = 6.626×10⁻³⁴ / (9.109×10⁻³¹ × 3×10⁶)

λ = 6.626×10⁻³⁴ / 2.733×10⁻²⁴ = 2.42×10⁻¹⁰ m = 0.242 nm (Angstrom range)

❓ FAQ

What is the de Broglie wavelength?

Louis de Broglie (1924) proposed that all matter has wave properties. λ = h/p relates the wavelength to the particle's momentum. Electrons in atoms have wavelengths comparable to atomic sizes (~10⁻¹⁰ m).

Why don't macroscopic objects have visible wave properties?

For a 1 kg ball at 10 m/s: λ = 6.6×10⁻³⁵ m — far smaller than any atomic nucleus. Wave effects are only significant when λ is comparable to the system's size, which happens at atomic scales.

🔗 Related

Comprehensive Guide

The Science Behind de Broglie Wavelength

Leverage this de Broglie Wavelength Calculator to instantly determine exact values without the hassle of manual formula manipulation. A solid grasp of de Broglie Wavelength is critical for safely and effectively handling chemical compounds in practical scenarios. Mastering the concepts behind de Broglie Wavelength is crucial for understanding advanced chemical reactions and laboratory procedures.

Why is de Broglie Wavelength Important?

In analytical chemistry, precision is everything. Having a reliable way to compute de Broglie Wavelength saves time, prevents wasted materials, and ensures scientific accuracy.

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Always verify your input units before calculating. Mismatched units (e.g., using mL instead of L) are the most common source of error when determining de Broglie Wavelength!

Common Applications

Academic Study: Checking literature values against experimental yields.
Laboratory Practice: Calculating theoretical thresholds for experiments.
Data Validation: Improving general chemistry proficiency.

Relying solely on the calculator without understanding the underlying formula. Always review the step-by-step breakdown to internalize the mechanics.