Answer :
Final answer:
A wavelength of 218 Å to centimeters inverse (cm⁻¹), you convert the wavelength to centimeters and then use the reciprocal of this value in centimeters to find the wavenumber. The resulting wavenumber is 45900 cm⁻¹.
Explanation:
To convert a wavelength of 218 Ångströms (Å) to wavenumbers (cm⁻¹), you first need to convert the given wavelength to centimeters as the wavenumber is defined as the reciprocal of the wavelength in centimeters. 1 Å = 10⁻⁸ cm, so 218 Å = 218 x 10⁻⁸ cm. The formula to convert wavelength to wavenumbers is ν (cm⁻¹) = 1/λ(cm).
Therefore, the conversion of 218 Å to cm⁻¹ is calculated as follows: ν = 1/(218 x 10⁻⁸ cm) = 1/2.18 x 10⁻⁶ cm = 4.59 x 10⁴ cm⁻¹. This means the wavelength of 218 Å converts to 45900 cm⁻¹.
In physics and mathematics, wavelength or spatial period of a wave or periodic function is the distance over which the wave's shape repeats.
In other words, it is the distance between consecutive corresponding points of the same phase on the wave, such as two adjacent crests, troughs, or zero crossings.
