Understanding Wavenumber
* Wavenumber (ν̃): This is the number of waves that fit into one centimeter. It's often used in spectroscopy, particularly infrared (IR) spectroscopy.
* Units: Wavenumber is typically measured in reciprocal centimeters (cm⁻¹).
Relationship between Wavenumber and Frequency
The relationship between wavenumber and frequency (ν) is:
ν = c * ν̃
where:
* ν is the frequency (in Hz)
* c is the speed of light (approximately 3 x 10⁸ m/s)
* ν̃ is the wavenumber (in cm⁻¹)
Calculations
1. Convert cm⁻¹ to m⁻¹:
2600 cm⁻¹ * (1 m / 100 cm) = 260 m⁻¹
2. Calculate the frequency:
ν = (3 x 10⁸ m/s) * (260 m⁻¹) = 7.8 x 10¹⁰ Hz
Answer: The frequency of a 2600 cm⁻¹ wave is approximately 7.8 x 10¹⁰ Hz.
Note: This frequency falls in the infrared region of the electromagnetic spectrum.
