Infrared radiation is categorized into three regions based on wavenumber, wavelength, and energy:
Note: Wavelength in cm is not nm. For Mid IR, it's 2500 to 25000 nm.
Infrared spectroscopy measures the wavelength and intensity of the absorption of mid-infrared light by a sample. Mid-infrared light is energetic enough to excite molecular vibrations to higher energy levels.
The wavelength of infrared absorption bands is characteristic of specific types of chemical bonds, which makes infrared spectroscopy highly useful for identifying organic and organometallic molecules. The high selectivity of the method makes the estimation of an analyte in a complex matrix possible.
For a molecule to absorb IR, the vibrations or rotations within a molecule must cause a net change in the dipole moment of the molecule. The alternating electrical field of the radiation interacts with fluctuations in the dipole moment of the molecule.
If the frequency of the radiation matches the vibrational frequency of the molecule, radiation will be absorbed, causing a change in the amplitude of molecular vibration. These transitions are discrete and quantized, just as are the electronic transitions in the UV-VIS.
Due to the very long wavelengths in mid IR, instead of nm, we use wavenumbers (cm^{-1}).
Conversion formula: ν (cm^{-1}) = \frac{1}{λ(nm)} × 10^7 \frac{nm}{cm}
Example: Carbonyl band at around 1700 cm^{-1} = 5882.4 nm
Wavenumbers represent frequency instead of wavelength.
Typical Mid IR spectrum (polystyrene film)
The spectrum shows % Transmittance vs. Wavenumber (cm^{-1}).
Functional group region and fingerprint region are labeled.
These are the energy levels excited by Mid IR light.
Vibrational transitions are much smaller than the electronic ones.
To absorb IR radiation, a molecule must undergo a net change of Dipole Moment as it vibrates or rotates. Only under these circumstances can the oscillating electric field vector interact with the molecule to cause changes in the amplitude of its motions.
Rotational transitions are of little use to the spectroscopist. Rotational levels are quantized, and absorption of IR by gases yields line spectra.
However, in liquids or solids, these lines broaden into a continuum due to molecular collisions and other interactions.
Vibration-Rotation Transitions
Transitions from the ground vibrational state to the first excited state of HCl with a change Δj = ±1 in rotational angular momentum.
Molecular vibrations are also important in understanding infrared absorption and the mechanisms and kinetics of chemical reactions. Frequencies are most commonly measured with infrared or Raman spectroscopy.
Rotational-vibrational spectroscopy, isotope substitution, and many forms of force-field modeling are used to determine characteristic atomic motions.
Vibrational motion is subdivided into so-called normal modes of vibration, which rapidly increase with the number of atoms in the molecule. Each of these normal vibrational modes contributes RT to the average molar energy of the substance and is a primary reason why heat capacities increase with molecular complexity.
If there are X{vib} modes of vibration, then the vibrational energy contributes X{vib}(RT) to the average molar energy of the substance.
Stretching modes appear from 4000-2000 cm^{-1}. Bending is found lower in the "fingerprint" region.
Vibrations can be modeled by Hooke’s Law: F = -ky
Where:
The symmetric stretch of CO2 does not produce a good change of dipole and is therefore very minor.
A selection rule, or transition rule, formally constrains the possible transitions of a system from one quantum state to another. The energy for a transition from energy level 1 to 2 or 2 to 3 should be identical to that of for the 0-1 transition.
Theory indicates that the only transitions that can take place are those where the VIBRATIONAL quantum number is 1. That is Δν = ± 1. And there must be a change in the dipole moment during the vibration.
For polyatomic molecules, the number of vibrations can be calculated by finding their position around a point in 3D space. For N points, you need 3 coordinates for each point = 3N. A molecule with N atoms has 3N degrees of freedom.
A vibration in one bond of a molecule can affect (couple) the bonds around it.
Factors influencing Coupling:
An infrared spectrophotometer is an instrument that passes infrared light through an organic molecule and produces a spectrum that contains a plot of the amount of light transmitted on the vertical axis against the wavelength of infrared radiation on the horizontal axis. In infrared spectra, the absorption peaks point downward because the vertical axis is the percentage transmittance of the radiation through the sample.
Absorption of radiation lowers the percentage transmittance value. Since all bonds in an organic molecule interact with infrared radiation, IR spectra provide a considerable amount of structural data.
Light is separated into constituent wavelengths and passed one at a time through the sample. Throughput is tiny.
The Michelson interferometer principle
The laser used is the HeNe laser with its 632.8 nm wavelength coherent beam. The laser is also beamed through the interferometer and provides the “laser fringe reference system” due to its very reproducible cosine fringe or wave. It is used to regulate the Sampling Interval, the signal that is co-added together.
Made from rare earth oxides in the form of a cylinder. When powered up, it heats to 1200-2200K. Since resistance is high, it has to be heated to a dull red heat before the current can become high enough to maintain the temperature.
This is a silicon carbide rod about 5 cm long and is electrically heated by resistance coils to 1300-1500 K.
Advantage: a positive coefficient of resistance
And – it provides better output below 5 μm than the Nernst Glower.
Disadvantage: you have to water cool the electrical contacts.
This consists of a tightly wound spiral of nichrome wire heated electrically to 100 K. A second style, used a great deal, is the Rh wire heater sealed in a ceramic cylinder and has similar properties but is more expensive. These require no cooling and are nearly maintenance-free.
Three Types:
For Infrared samples, Thermal Transducers are used. These devices are sensitive to IR radiation. The simplest of these is the Thermocouple consisting of two dissimilar metals fused together (like Cu and constantan (55% Cu/45% Ni)). A voltage develops that varies with temperature.
Pyroelectric transducers use dielectric materials such as Triglycine sulfate doped with D2 or alanine.
This is the most common method of FTIR Analysis
This one uses ZnSe. The Electric Vector of the evanescent wave penetrates the surface of the crystal and interacts with the sample.
These consist of a thin film of a semiconductor such as Lead Sulfide, mercury telluride – cadmium telluride (MCT) or Indium antimonide – and are deposited on a non-conducting glass surface that is sealed in an evacuated envelope.
These work by absorbing radiation and promoting non-conducting valence electrons into a higher energy conducting state. This decreases the resistance of the semiconductor. The resistance drop is proportional to the intensity of the radiation.
=C—H bond, “unsaturated” vinyl (sp^2)
C=C bond: 1640-1680 cm^{-1}
=C—H bond, “unsaturated” “aryl” (sp^2)
C=C bond 1500, 1600 cm^{-1}
C—O bond 1050-1275 (b) cm^{-1}
O—H bond 3200-3640 (b)