AFM can be quite useful for measuring lateral dimensions and height of particles and it can go down to a few nm in lateral resolution (depending on the size and shape of your particles) and even subnanometer vertical resolution. STM can also help if your particles are electrically conductive.
If you are working in solution a simple yet cheap approach is (ultra) high pressure liquid chromatography. Just run a set of molecular markers, better if NPs with known diameter; then start the run with your own sample. Good luck!
Eventhough AFM mesurements are quite long and needs a good particle distribution on the substrate surface that oblige you to control the sampling, this is a very reliable method. You could also use DLS as already mentionned, or NTA, SAXS, FFF, mass spectrometer, BET ... but for my part, I have clearly a preference for direct method as AFM or SEM/TEM !!
It may depend on the size of the nanoparticles: if they are large (>100nm) and the size distribution is rather narrow, diffraction methods can work very well, in particular if you have calibrated standards. If the particles are very small (
We tried to study various solutions nanoparticles including polydisperse using Microtrac zetatrac. In the case of polydisperse systems equipment finds several maxima distribution, if they are sufficiently far from each other. For example 10 and 50 nm.
Unfortunately and to my point of view, a bimodal population of 10 and 50 nm with a very narrow distribution is very far from what most of people have to measure in real life. It is true that a DLS can give good results for such a case, but what happens if you get a solution with a size distribution going from 10 nm to 200 nm. I'm not sure DLS can do the job. We have to keep in mind that the signal detected by the DLS is dependant to the power 6 on the size of the particle. 10 nm particles are detected with 64 million less intensity than 200 nm particles (if my calculation are correct) !!!
Other than SEM and TEM, the nanopore technology is also able to characterize the particle actual size and distribution. In addition, dynamic light scattering (DLS) works as well, but it only gives the averaged particle size and the size is hydrodynamic one instead of actual.
It based on your particle size and morphology. If they are within nm scale and round shape (or cubic), probably XRD can be used based on its width of the half peak.
If they are in um size, probably you can try Laser particle size analyzer.
To have a good representation of the size distribution separating methods are the first choice. Beside ultracentrifugation (if out of reach) may use also analytical centrifugation with lower acceleration.
The powders m.b. attested by the specific surface S by the nitrogen adsorbtion method (BET method) with the preliminary activation of samples at 300°C. The measurement error - about 3%. The specific surface average (further simply called the average) diameter dBET of particles is determined by the formula dBET = 6/(Sγ), where γ is an average density of matherial computed with allowance made for the phase composition of the powder (zum bei spiel for the ZrO2 the tetragonal phase has 6.16 g/cm3; the monoclinic phase has 5.85 g/cm3), which is determined by an X ray phase analysis.
there are particle size analyzers based on optical measurements (e.g. the Zetasizer and Mastersizer3000 from Malvern), though you need to suspend them for the measurement