1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Drupady [299]
3 years ago
14

In IR spectroscopy, we normally talk about "frequencies" when in reality we are referring to wavenumbers. What is the mathematic

al relationship between frequency and wavenumber? Between wavenumber and wavelength? What are the units most commonly used for frequency, wavelength, and wavenumber?

Chemistry
1 answer:
Svetach [21]3 years ago
8 0

Answer:

Here's what I get.

Explanation:

(b) Wavenumber and wavelength

The wavenumber is the distance over which a cycle repeats, that is, it is the number of waves in a unit distance.

\bar \nu = \dfrac{1}{\lambda}

Thus, if λ = 3 µm,

\bar \nu = \dfrac{1}{3 \times 10^{-6} \text{ m}}= 3.3 \times 10^{5}\text{ m}^{-1} = \textbf{3300 cm}^{-1}

(a) Wavenumber and frequency

Since

λ = c/f and 1/λ = f/c

the relation between wavenumber and frequency is

\bar \nu = \mathbf{\dfrac{f}{c}}

Thus, if f = 90 THz

\bar \nu = \dfrac{90 \times 10^{12} \text{ s}^{-1}}{3 \times 10^{8} \text{ m$\cdot$ s}^{-1}}= 3 \times 10^{5} \text{ m}^{-1} = \textbf{3000 cm}^{-1}

(c) Units

(i) Frequency

The units are s⁻¹ or Hz.

(ii) Wavelength

The SI base unit is metres, but infrared wavelengths are usually measured in micrometres (roughly 2.5 µm to 20 µm).

(iii) Wavenumber

The SI base unit is m⁻¹, but infrared wavenumbers are usually measured in cm⁻¹ (roughly 4000 cm⁻¹ to 500 cm⁻¹).

You might be interested in
Firewood burns and ashes remain<br><br> is it a chemical or physical change?
erastova [34]
It is a physical change because you can not put it back like it was
4 0
3 years ago
Read 2 more answers
Why can’t you see the stars very well at night like you could 50 years ago
Elenna [48]

Answer:Artificial light from cities has created a permanent "skyglow" at night, obscuring our view of the stars. Here's their map of artificial sky brightness in North America, represented as a ratio of "natural" nighttime sky brightness. In the black areas, the natural night sky is still (mostly) visible.

Explanation:

6 0
2 years ago
I WILL MARK BRAINLIEST How could this sentence be re-written to convey the active voice?
Fed [463]
C is the answer to this question
5 0
3 years ago
Read 2 more answers
Andre is packing for a move to Kentucky. He needs to pack 20 small paperback books whose total mass is 5 kg and some pillows who
storchak [24]
The pillows because it is larger than paperback books, in this situation just think about which is larger, I pretty sure Andre is not going to hold the boxes in his hand. 
hope I helped
6 0
3 years ago
Who invented the thermometer
Dvinal [7]
Gabriel Fahrenheit invented the thermometer
6 0
4 years ago
Other questions:
  • I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!
    8·1 answer
  • A substance that will change shape to fit its container but has a definite volume is in a phase of matter?
    15·2 answers
  • Find the molarity of the following solutions: 0.5 moles of sodium chloride is dissolved to make 0.05 liters of solution.
    14·1 answer
  • The 1H NMR signal for bromoform (CHBr3) appears at 2065 Hz when recorded on a 300−MHz NMR spectrometer. If the spectrum was reco
    13·1 answer
  • **will mark brainliest**
    11·1 answer
  • Why do we put these three words together in the 'fire triangle'?
    15·1 answer
  • Which substance is the oxidizing agent in this reaction? 2CuO+C→2Cu+CO2 Express your answer as a chemical formula.
    6·1 answer
  • What occurs as energy is transferred through a wave?
    9·1 answer
  • If a reaction is completely neutralized, the products would have a pH of<br><br> PLEASE ANSWER!!!!
    9·1 answer
  • What is the pH of a solution with an H3O+ concentration of 5.67 x 10-4 M?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!