The most widely used wavelength region for infrared analysis
is about 2 to 15 μm, express this range in angstroms and in
wavenumbers.
Answers
Given - Wavelength in micro meter - 2 - 15
Find - Wavelength in angstrom and wave number.
Solution - For conversion of micro meter to angstrom, the unit is compared as follows -
1 micro meter = 10,000 Angstrom.
Hence, 2 micro meter will be - 10,000*2
2 micro meter will be - 20,000 Angstrom = 2*10⁴ Angstrom
Therefore, 15 micro meter will be - 15*10,000
15 micro meter will be - 1,50,000 Angstrom = 1.5*10⁵ Angstrom.
Wave number is given by the formula - 2π/lambda.
In the formula, lambda refers to wavelength in metres.
Wave number for 2 micro meter wavelength - 2π/2*10-⁶
Wave number for 2 micro meter wavelength - 3.14*10⁶
Wave number for 15 micro meter wavelength - 2π/1.5*10-⁵
Wave number for 15 micro meter wavelength - 4.1*10⁵
Hence, wavelengths in angstrom will be - 2*10⁴ and 1.5*10⁵.
Wave number will be - 3.14*10⁶ and 4.1*10⁵.