1. What is Planck's Equation?

Planck's equation (E = h × f) describes the relationship between the energy of a photon and its frequency, where E is energy, h is Planck's constant (6.626 × 10⁻³⁴ J·s), and f is frequency.

2. How Does the Calculator Work?

The calculator uses Planck's equation:

Where:

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

Explanation: The 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 Energy Calculation

Details: Calculating photon energy is essential in quantum chemistry, spectroscopy, and understanding atomic and molecular transitions. It helps determine the energy levels of electrons and the behavior of light-matter interactions.

4. Using the Calculator

Tips: Enter frequency in hertz (Hz). The value must be positive and valid. The calculator will compute the corresponding energy in joules.

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 in chemistry?
A: Frequencies can range from radio waves (kHz-MHz) to visible light (10¹⁴-10¹⁵ Hz) to gamma rays (10¹⁹+ Hz), depending on the application.

Q3: Can this equation be used for all types of electromagnetic radiation?
A: Yes, Planck's equation applies to all photons across the electromagnetic spectrum.

Q4: How is this related to wavelength?
A: Energy can also be calculated using wavelength through the relationship E = hc/λ, where c is the speed of light and λ is wavelength.

Q5: What are the practical applications of this calculation?
A: Applications include spectroscopy analysis, photochemistry, quantum computing research, and understanding atomic emission/absorption spectra.