1. What is Wave Energy in Quantum Physics?

Wave energy in quantum physics refers to the energy carried by a photon, which is quantized and proportional to its frequency. This fundamental relationship is described by Planck's equation, connecting the particle and wave nature of light.

2. How Does the Calculator Work?

The calculator uses the Planck-Einstein relation:

Where:

• \( E \) — Energy of the photon (Joules)
• \( h \) — Planck's constant (6.626 × 10⁻³⁴ J·s)
• \( f \) — Frequency of the electromagnetic wave (Hz)

Explanation: This equation shows that the energy of a photon is directly proportional to its frequency, with Planck's constant as the proportionality factor.

3. Importance of Wave Energy Calculation

Details: Calculating photon energy is essential in quantum mechanics, spectroscopy, photochemistry, and understanding light-matter interactions. It helps determine whether a photon has sufficient energy to cause electronic transitions or chemical reactions.

4. Using the Calculator

Tips: Enter Planck's constant in J·s and frequency in Hz. For standard calculations, use h = 6.626 × 10⁻³⁴ J·s. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the value of Planck's constant?
A: Planck's constant is approximately 6.626 × 10⁻³⁴ Joule-seconds (J·s).

Q2: How does energy relate to wavelength?
A: Energy can also be calculated using wavelength: E = h × c / λ, where c is the speed of light and λ is wavelength.

Q3: What is the significance of this equation?
A: This equation was revolutionary as it introduced quantum theory, showing that energy is quantized rather than continuous.

Q4: Can this calculator be used for all electromagnetic waves?
A: Yes, the equation applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.

Q5: What are typical energy values for visible light?
A: Visible light photons have energies ranging from approximately 1.65 eV to 3.26 eV (2.64 × 10⁻¹⁹ J to 5.22 × 10⁻¹⁹ J).