ArticleslgStudy

physics

Magnetic circular dichroism

Magnetic circular dichroism is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Magnetic circular dichroism rather than just read about it. In short: Magnetic circular dichroism (MCD) is the differential absorption of left and right circularly polarized (LCP and RCP) light, induced in a sample by a strong magnetic field oriented parallel to the direction of light propagation. MCD measurements can detect transitions which are too weak to be seen in conventional optical absorption spectra, and it can be used to distinguish between overlapping transitions.

Magnetic circular dichroism — main illustration
Magnetic circular dichroism — illustration

Key takeaways

  • Magnetic circular dichroism belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Magnetic circular dichroism to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Magnetic circular dichroism from memory before moving on to harder problems.

Reference excerpt

Magnetic circular dichroism (MCD) is the differential absorption of left and right circularly polarized (LCP and RCP) light, induced in a sample by a strong magnetic field oriented parallel to the direction of light propagation. MCD measurements can detect transitions which are too weak to be seen in conventional optical absorption spectra, and it can be used to distinguish between overlapping transitions. Paramagnetic systems are common analytes, as their near-degenerate magnetic sublevels provide strong MCD intensity that varies with both field strength and sample temperature. The MCD signal also provides insight into the symmetry of the electronic levels of the studied systems, such as metal ion sites.

History It was first shown by Faraday that optical activity (the Faraday effect) could be induced in matter by a longitudinal magnetic field (a field in the direction of light propagation). The development of MCD really began in the 1930s when a quantum mechanical theory of MOR (magnetic optical rotatory dispersion) in regions outside absorption bands was formulated. The expansion of the theory to include MCD and MOR effects in the region of absorptions, which were referred to as "anomalous dispersions" was developed soon thereafter. There was, however, little effort made to refine MCD as a modern spectroscopic technique until the early 1960s. Since that time there have been numerous studies of MCD spectra for a very large variety of samples, including stable molecules in solutions, in isotropic solids, and in the gas phase, as well as unstable molecules entrapped in noble gas matrices. More recently, MCD has found useful application in the study of biologically important systems including metalloenzymes and proteins containing metal centers.

Differences between CD and MCD In natural optical activity, the difference between the LCP light and the RCP light is caused by the asymmetry of the molecules (i.e. chiral molecules). Because of the handedness of the molecule, the absorption of the LCP light would be different from the RCP light. However, in MCD in the presence of a magnetic field, LCP and RCP no longer interact equivalently with the absorbing medium. Thus, there is not the same direct relation between magnetic optical activity and molecular stereochemistry which would be expected, because it is found in natural optical activity. So, natural CD is much more rare than MCD which does not strictly require the target molecule to be chiral. Although there is much overlap in the requirements and use of instruments, ordinary CD instruments are usually optimized for operation in the ultraviolet, approximately 170–300 nm, while MCD instruments are typically required to operate in the visible to near infrared, approximately 300–2000 nm. The physical processes that lead to MCD are substantively different from those of CD. However, like CD, it is dependent on the differential absorption of left and right hand circularly polarized light. MCD will only exist at a given wavelength if the studied sample has an optical absorption at that wavelength. This is distinctly different from the related phenomenon of optical rotatory dispersion (ORD), which can be observed at wavelengths far from any absorption band.

Measurement The MCD signal ΔA is derived via the absorption of the LCP and RCP light as

Δ A = A − − A + A − + A + {\displaystyle \Delta A={\frac {A_{-}-A_{+}}{A_{-}+A_{+}}}}

This signal is often presented as a function of wavelength λ, temperature T or magnetic field H. MCD spectrometers can simultaneously measure absorbance and ΔA along the same light path. This eliminates error introduced through multiple measurements or different instruments that previously occurred before this advent. The MCD spectrometer example shown below begins with a light source that emits a monochromatic wave of light. This wave is passed through a Rochon prism linear polarizer, which separates the incident wave into two beams that are linearly polarized by 90 degrees. The two beams follow different paths- one beam (the extraordinary beam) traveling directly to a photomultiplier (PMT), and the other beam (the ordinary beam) passing through a photoelastic modulator (PEM) oriented at 45 degrees to the direction of the ordinary ray polarization. The PMT for the extraordinary beam detects the light intensity of the input beam. The PEM is adjusted to cause an alternating plus and minus 1/4 wavelength shift of one of the two orthogonal components of the ordinary beam. This modulation converts the linearly polarized light into circularly polarized light at the peaks of the modulation cycle. Linearly polarized light can be decomposed into two circular components with intensity represented as I 0 = 1 2 ( I − + I + ) {\displaystyle I_{0}={\frac {1}{2}}(I_{-}+I_{+})}

The PEM will delay one component of linearly polarized light with a time dependence that advances the other component by 1/4 λ (hence, quarter-wave shift). The departing circularly polarized light oscillates between RCP and LCP in a sinusoidal time-dependence as depicted below:

The light finally travels through a magnet containing the sample, and the transmittance is recorded by another PMT. The schematic is given below:

The intensity of light from the ordinary wave that reaches the PMT is governed by the equation:

… excerpt ends here. Continue reading the full article.

Illustrations

Magnetic circular dichroism: MCD spectra vary with applied field strength
MCD spectra vary with applied field strength
Magnetic circular dichroism illustration
Magnetic circular dichroism illustration
Magnetic circular dichroism: A
            
          
          
            1
          
        
      
    
    {\displaystyle {\mathcal {A}}_{1}}
  
, 
  
    
      
        
          
            
              B
            
          
          
            0
          
        
      
    
    {\displaystyle {\mathcal {B}}_{0}}
  
, and 
  
    
      
        
          
            
              C
            
          
          
            0
          
        
      
    
    {\displaystyle {\mathcal {C}}_{0}}
  
 term intensity mechanisms for magnetic circular dichroism (MCD) signal
A 1 {\displaystyle {\mathcal {A}}_{1}} , B 0 {\displaystyle {\mathcal {B}}_{0}} , and C 0 {\displaystyle {\mathcal {C}}_{0}} term intensity mechanisms for magnetic circular dichroism (MCD) signal
Magnetic circular dichroism: An MCD spectrum and orbital diagram for potassium ferricyanide
An MCD spectrum and orbital diagram for potassium ferricyanide

Worked examples

Example 1 — a first encounter with Magnetic circular dichroism

Start with the simplest possible case. Write down what Magnetic circular dichroism claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Magnetic circular dichroism before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Magnetic circular dichroism ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Magnetic circular dichroism

In research
Magnetic circular dichroism appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Magnetic circular dichroism in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Magnetic circular dichroism is common in secondary-school and first-year university syllabi. It links to neighbouring topics Magneto-optic effects, Polarization (waves), Spectroscopy, so understanding it makes those chapters shorter.
In everyday life
Look for Magnetic circular dichroism outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Magnetic circular dichroism in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Magnetic circular dichroism means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Magnetic circular dichroism out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Magnetic circular dichroism in simple terms?

Magnetic circular dichroism (MCD) is the differential absorption of left and right circularly polarized (LCP and RCP) light, induced in a sample by a strong magnetic field oriented parallel to the direction of light propagation. MCD measurements can detect transitions which are too weak to be seen…

Why does Magnetic circular dichroism matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Magnetic circular dichroism?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Magnetic circular dichroism.

Tags

  • Magneto-optic effects
  • Polarization (waves)
  • Spectroscopy

Keep exploring