There is an array of single-walled carbon nanotubes with an estimated length of 40 microns or more, with a tube diameter of 1-3 nm. How to determine the average length of nanotubes with high accuracy?
Accuracy is defined by comparing against a known certified standard and I am not aware of any such standard for carbon nanotubes. Your only route is imaging with electron microscopy and you may have issues of disentangling spaghetti...
I mistakenly thought that the purpose was to calculate the diameter of carbon nanotubes.
However, with DLS, particle distribution can also be achieved, as the goal is.
It is true that this method is more common for spherical particles, but with several solutions, the distribution of rod particles as well as carbon nanotubes can be achieved.
However, due to the long time that microscopic methods take and in addition they require a lot of high resolution images, the DLS method can be efficient.
On the other hand, DLS calculates the particle distribution from the hydrodynamic diameter. In fact, the length of nanocarbon pipes is considered as the hydrodynamic diameter.
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If you intend to study the length of carbon nanotubes in a fixed substrate, the use of microscopic methods (TEM and SEM) and image analysis is recommended.
However, to study the behavior, growth and aggregation of nanotubes in colloidal solution, laser static scattering (SLS) and DLS methods can be more efficient and faster.
The length and diameter of the tubes can be determined on AFM images using software by tracing the nanotubes and calculating the length of the trace. A recently developed imaging method consists of dissolving CNTs in chlorosulfonic acid and taking images using transmission electron microscopy (cryo-TEM). Raman spectroscopy makes it possible to determine the diameter of a carbon nanotube by the frequency of its Radial Breathing Mode (RBM), which is inversely proportinonal to it.
Dynamic Light Scattering (DSL) is a technique capable of measuring particles in solution or in suspension in a material sample. The Zetasizer Nano, measures the size of particles in a liquid down to less than one nanometer by observing the thermal motion, or Brownian motion of the particle. The particle size is measured by analyzing the scattering of the laser light by the particles by determining the scattering coefficient and thus the particle size.