A typical simple infrared spectrophotometer covers a wavelength range from 7 to 13 μm. Express its range in: a) wavenumbers b) hertz About the author Lydia
Given info : A typical simple infrared spectrometer covers a wavelength range from 7 to 13μm. To express : its range in (a) wavenumbers (b) Hertz (frequency) solution : wavelength is reciprocal of wavelength. when wavelength = 7μm wavenumber = 1/wavelength = 1/7μm = 10⁶/7 m¯¹ ≈ 142857 m¯¹ when wavelength = 13μ wavenumber = 1/wavelength = 1/13μ = 10⁶/13 m¯¹ = 76923 m¯¹ Therefore the range of wavenumbers is 76923 to 142857 m¯¹. frequency = speed of light/wavelength when wavelength = 7μm so, frequency = 3 × 10^8m/s/7μm ≈ 4.3 × 10¹³ Hz when wavelength = 13μm so frequency = 3 × 10^8m/s/13μm = 2.3 × 10¹³ Hz Therefore the range of Frequencies is 2.3 × 10¹³ to 4.3 × 10¹³ Hz. Reply
Given info : A typical simple infrared spectrometer covers a wavelength range from 7 to 13μm.
To express : its range in
solution : wavelength is reciprocal of wavelength.
when wavelength = 7μm
wavenumber = 1/wavelength = 1/7μm = 10⁶/7 m¯¹
≈ 142857 m¯¹
when wavelength = 13μ
wavenumber = 1/wavelength = 1/13μ = 10⁶/13 m¯¹
= 76923 m¯¹
Therefore the range of wavenumbers is 76923 to 142857 m¯¹.
frequency = speed of light/wavelength
when wavelength = 7μm
so, frequency = 3 × 10^8m/s/7μm ≈ 4.3 × 10¹³ Hz
when wavelength = 13μm
so frequency = 3 × 10^8m/s/13μm = 2.3 × 10¹³ Hz
Therefore the range of Frequencies is 2.3 × 10¹³ to 4.3 × 10¹³ Hz.