1. What is a Neutron Wavelength to Energy Calculator?

Definition: This calculator converts neutron wavelength to energy using the de Broglie approximation.

Purpose: It helps physicists, chemists, and materials scientists determine the energy of neutrons based on their wavelength.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( E \) — Energy (joules)
• \( h \) — Planck's constant (6.626 × 10⁻³⁴ J·s)
• \( c \) — Speed of light (3 × 10⁸ m/s)
• \( \lambda \) — Wavelength (meters)

Explanation: The energy of a neutron is inversely proportional to its wavelength, with Planck's constant and the speed of light as proportionality constants.

3. Importance of Wavelength-Energy Conversion

Details: This calculation is fundamental in neutron scattering experiments, quantum mechanics, and nuclear physics research.

4. Using the Calculator

Tips: Enter the neutron wavelength in meters. Default values are provided for Planck's constant (6.626 × 10⁻³⁴ J·s) and speed of light (3 × 10⁸ m/s). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical wavelength range for neutrons?
A: Thermal neutrons typically have wavelengths between 0.1-2 nm (1-20 Å).

Q2: Why use the speed of light for neutrons?
A: The formula uses the speed of light as a constant, though neutrons move much slower. This is part of the wave-particle duality principle.

Q3: How precise are these calculations?
A: The de Broglie approximation is very accurate for non-relativistic neutrons.

Q4: Can I use this for other particles?
A: Yes, the same formula applies to any particle, though you may need to adjust constants for different particles.

Q5: What units should I use for best results?
A: Use meters for wavelength to get energy in joules. For electronvolts, divide the result by 1.602 × 10⁻¹⁹.