Photon Energy Calculator

Formula

To calculate the Photon Energy (E):

Using wavelength:

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

Using frequency:

\[ E = h \cdot f \]

Where:

\(E\) is the Energy of a Photon in joules (J)
\(h\) is the Planck constant (6.6261 × 10⁻³⁴ J*s)
\(c\) is the Speed of Light (299792458 m/s)
\(\lambda\) is the Wavelength of a Photon in meters (m)
\(f\) is the Frequency of a Photon in hertz (Hz)

What is Photon Energy?

Photon energy is defined as the total kinetic energy contained within one photon of light. It is a fundamental concept in quantum mechanics and is crucial for understanding the behavior of light and other electromagnetic radiation.

Example Calculation 1

Let's assume the following value:

Wavelength (\(\lambda\)) = 500 nm (500 × 10⁻⁹ m)

Using the formula:

\[ E = \frac{6.6261 \times 10^{-34} \cdot 299792458}{500 \times 10^{-9}} = 3.972 \times 10^{-19} \text{ J} \]

The Photon Energy is \(3.972 \times 10^{-19}\) J.

Example Calculation 2

Let's assume the following value:

Frequency (\(f\)) = 6 × 10¹⁴ Hz

Using the formula:

\[ E = 6.6261 \times 10^{-34} \cdot 6 \times 10^{14} = 3.976 \times 10^{-19} \text{ J} \]

The Photon Energy is \(3.976 \times 10^{-19}\) J.