Energy & Wavelength Calculations for Atomic Spectra
Energy & Wavelength Calculations for Atomic Spectra
Determining Wavelength
• c = λ•f
o c = speed of light in a vacuum (2.998x108m.s-1)
o λ = wavelength (in m)
o f = frequency (in s-1)
Example: Calculate the wavelength of infrared radiation that has a frequency of 9.73 x 1013 s-1.
• c = λ•f
• λ = c/f = 2.998x108 m.s-1 = 3.08x10-6 m
9.73x1013 s-1
Determining Energy
• E = ħf OR E = ħc/ λ
o E = energy (in J)
o f = frequency of radiation (in s-1)
o ħ = Planck’s constant = 6.63 x 10-34 J.s.
o c = speed of light in a vacuum (2.998x108m.s-1)
o λ = wavelength (in m)
Example: Calculate the energy of one photon of red light with a wavelength of 669 nm.
• E = ħc/ λ
• E = 6.63 x 10-34 J.s x 2.998x108m.s-1
669 x 10-9 m
• E = 2.97x10-16 J
Practice Problems:
1. Calculate the frequency of infrared radiation that has a wavelength of 2.5x10-8 m. Under what region of the electromagnetic spectrum does it fall?
2. Calculate the wavelength of visible light with a frequency of 3.4x1015s-1.
3. Calculate the energy of blue light with a frequency of 7.4x10-14s-1.
4. Calculate the wavelength seen for 5.2x10-17 J of energy travelling with a frequency of 6.8x10-14s-1.
5. Calculate frequency needed to produce a 709 nm wavelength of colour with an energy of 6.14x10-16 J.
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