When using IR spectroscopy, why does a stronger bond have a higher wavenumber?
The wavenumber
#\mathbf(tildenu = 1/(2pic)sqrt(k/mu))# where:
#c# is the speed of light,#2.998xx10^(10)# #"cm/s"# .#k# is the force constant in#"kg/s"^2# of the bond between the two atoms in the harmonic oscillator model, which can alternatively be labeled the ball-and-spring model. The force constant value is generally in the hundreds.#mu# is the reduced mass;#mu = (m_1m_2)/(m_1 + m_2)# , where#m_i# is the molar mass of atom#i# .
Since for the same molecule,
A higher force constant
Therefore, a stronger bond has a higher IR frequency when comparing the same type of vibrational motion (e.g. symmetric stretch with symmetric stretch, asymmetric bend with asymmetric bend, etc).
CHALLENGE: Can you show me why the wavenumber frequency for
By signing up, you agree to our Terms of Service and Privacy Policy
In IR spectroscopy, a stronger bond has a higher wavenumber because stronger bonds vibrate at higher frequencies, resulting in higher energy transitions and thus higher wavenumbers in the infrared spectrum.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- How does mass spectrometry differ from other forms of spectroscopy?
- What is the frequency range in #"cm"^(-1)# of #-OH# in water using infrared spectrometry?
- How is IR spectroscopy used?
- What are the differences between stretching vibration and bending vibrations?
- Whats the difference between FTIR and Raman Spectroscopy?
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7