1. What is the Energy Calculation Formula?

The energy calculation formula E = h × ν relates the energy of a photon to its frequency, where h is Planck's constant. This fundamental equation in quantum mechanics describes the energy of electromagnetic radiation.

2. How Does the Calculator Work?

The calculator uses the energy equation:

Where:

• \( E \) — Energy in joules (J)
• \( h \) — Planck's constant (6.626 × 10⁻³⁴ J·s)
• \( \nu \) — Frequency in hertz (Hz)

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

3. Importance of Energy Calculation

Details: Calculating photon energy is essential in spectroscopy, quantum chemistry, and understanding atomic transitions. It helps determine the energy levels of electrons in atoms and molecules.

4. Using the Calculator

Tips: Enter the frequency in hertz (Hz). The value must be positive. The calculator will automatically use Planck's constant (6.626 × 10⁻³⁴ J·s) in the calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is Planck's constant?
A: Planck's constant (6.626 × 10⁻³⁴ J·s) is a fundamental physical constant that relates the energy of a photon to its frequency.

Q2: What are typical frequency values?
A: Visible light ranges from about 400-790 THz (4×10¹⁴-7.9×10¹⁴ Hz), while radio waves can be as low as a few Hz.

Q3: Can this calculate energy for multiple photons?
A: No, this calculates energy for a single photon. For multiple photons, multiply the result by the number of photons.

Q4: How does this relate to wavelength?
A: Energy can also be calculated using wavelength (λ) with the formula E = hc/λ, where c is the speed of light.

Q5: Why is the energy value so small?
A: Because Planck's constant is extremely small (6.626 × 10⁻³⁴), photon energies are tiny when measured in joules.