1. What is a Wavenumber to Energy Calculator?

Definition: This calculator converts wavenumber (inverse wavelength) to energy using Planck's constant and the speed of light.

Purpose: It helps physicists, chemists, and students convert spectroscopic measurements between wavenumber and energy units.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( E \) — Energy (Joules)
• \( h \) — Planck's constant (6.626×10⁻³⁴ J·s)
• \( c \) — Speed of light (3×10⁸ m/s)
• \( k \) — Wavenumber (m⁻¹)

Explanation: The wavenumber is multiplied by Planck's constant and the speed of light to calculate the corresponding photon energy.

3. Importance of Wavenumber Conversion

Details: Wavenumber is commonly used in spectroscopy, while energy units are needed for quantum mechanical calculations and understanding molecular transitions.

4. Using the Calculator

Tips: Enter the wavenumber in m⁻¹. Planck's constant (default 6.626×10⁻³⁴ J·s) and speed of light (default 3×10⁸ m/s) can be adjusted if needed.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical wavenumber range?
A: In spectroscopy, wavenumbers typically range from 10 m⁻¹ (radio waves) to 10⁷ m⁻¹ (X-rays).

Q2: Why use wavenumber instead of wavelength?
A: Wavenumber is directly proportional to energy, making it more convenient for spectroscopic analysis.

Q3: How do I convert cm⁻¹ to m⁻¹?
A: Multiply cm⁻¹ by 100 to get m⁻¹ (1 cm⁻¹ = 100 m⁻¹).

Q4: What's the relationship to frequency?
A: Energy can also be calculated as E = hν, where ν is frequency (ν = c × k).

Q5: Can I calculate energy in electronvolts?
A: Yes, divide the result in Joules by 1.602×10⁻¹⁹ to convert to eV.