Energy Frequency Wavelength Calculator

Photon Energy Equations:

\[ E = h f \] \[ \lambda = \frac{c}{f} \] Where:

\( E \) — Energy (Joules)
\( h \) — Planck's constant = \( 6.626 \times 10^{-34} \) J·s
\( f \) — Frequency (Hz)
\( \lambda \) — Wavelength (m)
\( c \) — Speed of light = \( 3 \times 10^8 \) m/s

Calculated Frequency:

Calculated Wavelength:

Calculated Energy:

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1. What is the Energy Frequency Wavelength Relationship?

The relationship between energy (E), frequency (f), and wavelength (λ) is fundamental in quantum mechanics and electromagnetic theory. These relationships are described by Planck's equation (E = hf) and the wave equation (λ = c/f), where h is Planck's constant and c is the speed of light.

2. How Does the Calculator Work?

The calculator uses the fundamental equations:

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

Where:

\( E \) — Energy in Joules (J)
\( h \) — Planck's constant = \( 6.626 \times 10^{-34} \) J·s
\( f \) — Frequency in Hertz (Hz)
\( \lambda \) — Wavelength in meters (m)
\( c \) — Speed of light = \( 3 \times 10^8 \) m/s

Explanation: These equations allow conversion between energy, frequency, and wavelength for electromagnetic radiation and quantum particles.

3. Importance of Photon Energy Calculation

Details: Calculating photon energy is crucial in fields like quantum physics, spectroscopy, telecommunications, and medical imaging. It helps determine the behavior of electromagnetic radiation and its interaction with matter.

4. Using the Calculator

Tips: Enter any two known values (frequency, wavelength, or energy) and the calculator will compute the third. All values must be positive numbers. For best results, use scientific notation for very large or very small values.

5. Frequently Asked Questions (FAQ)

Q1: What is Planck's constant?
A: Planck's constant (h) is a fundamental physical constant that relates the energy of a photon to its frequency. Its value is approximately 6.626×10^{-34} J·s.

Q2: How are frequency and wavelength related?
A: Frequency and wavelength are inversely proportional through the speed of light: λ = c/f. Higher frequency corresponds to shorter wavelength and vice versa.

Q3: What units should I use?
A: Use Hz for frequency, meters for wavelength, and Joules for energy. The calculator uses SI units throughout.

Q4: Can I calculate for particles other than photons?
A: The de Broglie wavelength equation (λ = h/p) should be used for massive particles, where p is momentum.

Q5: Why do I get very small numbers for energy?
A: Photon energies are typically very small in Joules. You might want to use electronvolts (eV) for atomic-scale calculations (1 eV = 1.602×10^{-19} J).