Energy Difference Calculator

Formula

The formula to calculate the Energy Difference (dE) is:

\[ dE = \frac{h \times c}{f} \]

Where:

Energy Difference (dE): The difference in energy between two states, measured in Joules.
Frequency (f): The number of cycles per second of a periodic wave, measured in Hertz (Hz).
Planck's Constant (h): A fundamental constant used in quantum mechanics, equal to \(6.626 \times 10^{-34}\) J*s.
Speed of Light (c): The speed at which light travels in a vacuum, approximately \(2.998 \times 10^8\) m/s.

Let's say the frequency (f) is \(5 \times 10^{14}\) Hz. Using the formula:

\[ dE = \frac{6.626 \times 10^{-34} \times 2.998 \times 10^8}{5 \times 10^{14}} \]

We get:

\[ dE \approx 3.97 \times 10^{-19} \text{ Joules} \]

So, the energy difference is approximately \(3.97 \times 10^{-19}\) Joules.