1. What is Wavenumber?

Wavenumber (ν̄) is the spatial frequency of a wave, measured in cycles per unit distance. In spectroscopy, it represents the number of waves per unit length, typically expressed in reciprocal meters (m⁻¹) or cm⁻¹.

2. How Does the Calculator Work?

The calculator uses the wavenumber formula:

Where:

• \( \bar{\nu} \) — Wavenumber (m⁻¹)
• \( \lambda \) — Wavelength (m)

Explanation: Wavenumber is simply the reciprocal of wavelength, representing how many wave cycles exist in a unit length.

3. Importance of Wavenumber Calculation

Details: Wavenumber is particularly important in spectroscopy and quantum mechanics, where it's often preferred over wavelength because it's directly proportional to energy and frequency.

4. Using the Calculator

Tips: Enter wavelength in meters. The value must be greater than zero. The calculator will compute the corresponding wavenumber in reciprocal meters (m⁻¹).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between wavenumber and wavelength?
A: Wavelength is the distance between successive wave peaks, while wavenumber is the number of waves per unit distance.

Q2: What are common units for wavenumber?
A: The SI unit is m⁻¹ (reciprocal meters), but cm⁻¹ (reciprocal centimeters) is commonly used in spectroscopy.

Q3: How is wavenumber related to frequency?
A: Wavenumber is proportional to frequency: ν̄ = f/c, where f is frequency and c is the speed of light.

Q4: Why is wavenumber used in spectroscopy?
A: Wavenumber is directly proportional to energy (E = hcν̄), making spectral plots linear in energy scale.

Q5: Can I convert between different wavenumber units?
A: Yes, 1 m⁻¹ = 0.01 cm⁻¹, and 1 cm⁻¹ = 100 m⁻¹.