Wavenumber Formula:
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Definition: This calculator converts wavelength to wavenumber, which is the spatial frequency of a wave.
Purpose: It helps physicists, chemists, and engineers working with wave phenomena to easily convert between these two important wave properties.
The calculator uses the formula:
Where:
Explanation: Wavenumber represents the number of wave cycles per unit distance, and is simply the reciprocal of wavelength.
Details: Wavenumber is particularly important in spectroscopy, optical physics, and quantum mechanics where wave properties are analyzed.
Tips: Enter the wavelength in meters. The value must be greater than 0. For very small wavelengths (like light waves), scientific notation may be helpful.
Q1: What are typical units for wavenumber?
A: The SI unit is reciprocal meters (1/m), but cm⁻¹ (reciprocal centimeters) are commonly used in spectroscopy.
Q2: How does this relate to frequency?
A: Wavenumber is related to frequency through the wave's propagation speed: \( k = \frac{f}{v} \), where f is frequency and v is wave speed.
Q3: What's the difference between angular wavenumber and regular wavenumber?
A: Angular wavenumber (\( k = \frac{2\pi}{\lambda} \)) includes the 2π factor and is used in wave equations.
Q4: Can I use this for electromagnetic waves?
A: Yes, this applies to all wave types including electromagnetic waves (light, radio waves, etc.).
Q5: What's a typical wavelength range for visible light?
A: Approximately 380-750 nanometers (3.8×10⁻⁷ to 7.5×10⁻⁷ meters).