Energy to Wavelength Calculator

Energy to Wavelength Formula

The formula to calculate wavelength from energy is:

\[ \lambda = \frac{h \cdot c}{E} \]

Where:

• \( \lambda \) is the wavelength in meters
• \( h \) is the Planck constant (6.6261 × 10\(^{-34}\) J·s)
• \( c \) is the speed of light (299,792,458 m/s)
• \( E \) is the photon energy in joules

Example Calculation

If the energy of a photon is \( 3.2 \times 10^{-19} \) joules, the wavelength would be:

\[ \lambda = \frac{6.6261 \times 10^{-34} \cdot 299,792,458}{3.2 \times 10^{-19}} \approx 6.20 \times 10^{-7} \text{ meters} \]

Importance

Understanding the relationship between energy and wavelength is crucial in fields like quantum mechanics, spectroscopy, and photonics.

FAQ

What is wavelength?
A wavelength is the distance a photon travels to complete one full wave cycle.

What is the Planck constant?
The Planck constant is a fundamental constant used in quantum mechanics, defining the scale of quantum effects.

This calculator simplifies converting photon energy into wavelength, aiding studies and applications involving electromagnetic waves.