# 1.4 Measuring the specific surface area of nanoparticle suspensions  (Page 4/4)

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Filter the sample solution by using a Pasteur pipette stuffed with a piece of cotton wool at the neck. Any suspended material like dust can cause changes in the spectrum. When working with dilute aqueous solutions, sweat itself can have a major effect and so gloves are recommended at all times.

Sweat contains mainly water, minerals (sodium 0.9 g/L, potassium 0.2 g/L, calcium 0.015 g/L, magnesium 0.0013 g/L and other trace elements like iron, nickel, zinc, copper, lead and chromium), as well as lactate and urea. In presence of a dilute solution of the sample, the proton-containing substances in sweat (e.g., lactate and urea) can result in a large signal that can mask the signal of the sample.

The NMR probe is the most critical piece of equipment as it contains the apparatus that must detect the small NMR signals from the sample without adding a lot of noise. The size of the probe is given by the diameter of the NMR tube it can accommodate with common sizes 5, 10 and 15 mm. A larger size probe can be used in the case of less sensitive samples in order to get as much solute into the active zone as possible. When the sample is available in less quantity, use a smaller size tube to get an intrinsically higher sensitivity.

## Nmr analysis

A result sheet of T 2 ­ relaxation has the plot of magnetization versus time, which will be linear in a semi-log plot as shown in [link] . Fitting it to the equation, we can find T­ 2 and thus one can prepare a calibration plot of 1/T 2 versus S/V of known samples.

## Limitations of the t 2 Technique

The following are a few of the limitations of the T 2 technique:

• One can’t always guarantee no magnetic field gradients, in which case the T 1 relaxation technique is to be used. However this takes much longer to perform than the T 2 relaxation.
• There is the requirement of the odd number of nucleons in the sample or solvent.
• The solid suspension should not have any para- or ferromagnetic substance (for instance, organics like hexane tend to have dissolved O 2 which is paramagnetic).
• The need to prepare a calibration chart of the material with known specific surface area.

## Example of usage

A study of colloidal silica dispersed in water provides a useful example. [link] shows a representation of an individual silica particle.

A series of dispersion in DI water at different concentrations was made and surface area calculated. The T 2 relaxation technique was performed on all of them with a typical T 2 plot shown in [link] and T 2 was recorded at 2117 milliseconds for this sample.

A calibration plot was prepared with 1/T 2 – 1/T 2,bulk as ordinate (the y -axis coordinate) and S/V as abscissa (the x -axis coordinate). This is called the surface relaxivity plot and is illustrated in [link] .

Accordingly for the colloidal dispersion of silica in DI water, the best fit resulted in [link] , from which one can see that the value of surface relaxivity, 2.3 x 10 -8 , is in close accordance with values reported in literature.

$\frac{1}{{T}_{2}}-\frac{1}{{T}_{2,\text{bulk}}}=2\text{.}3x1{0}^{-8}\left(\frac{S}{V}\right)-0\text{.}\text{0051}$

The T 2 technique has been used to find the pore-size distribution of water-wet rocks. Information of the pore size distribution helps petroleum engineers model the permeability of rocks from the same area and hence determine the extractable content of fluid within the rocks.

Usage of NMR for surface area determination has begun to take shape with a company, Xigo nanotools, having developed an instrument called the Acorn Area TM to get surface area of a suspension of aluminum oxide. The results obtained from the instrument match closely with results reported by other techniques in literature. Thus the T 2 NMR technique has been presented as a strong case to obtain specific surface areas of nanoparticle suspensions.

## Bibliography

• G. R Coates, L. Xiao, and M.G. Prammer, NMR Logging: Principles&Applications , Halliburton Energy Services, Houston (2001).
• B. Cowan, Nuclear magnetic resonance and relaxation , Cambridge University Press, Cambridge UK (2001).
• W. E. Kenyon, The Log Analyst , 1997, 6 , 2.
• A. E. Derome, Modern NMR Techniques for Chemistry Research , Vol 6, Pergamon Press, Oxford (1988).

#### Questions & Answers

how do you translate this in Algebraic Expressions
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Shanjida
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At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
the Beer law works very well for dilute solutions but fails for very high concentrations. why?