Hi, after the synthesis if your particles are airborne than I would suggest to use electrical mobility particle sizing combined with an electrical particle detector. It is a real-time method and gives you an instantaneous feed back about your synthesized particles. Depending on the system it can work down to about 2nm in terms of an equivalent mobility diameter. following papers may give you a starting point (K. Barmpounis, A. Maisser, A. Schmidt-Ott & G. Biskos, (2016) Lightweight differential mobility analyzers: Toward new and inexpensive manufacturing methods. Aerosol Science and Technology 50:1, pages 2-5.; P. Kallinger, G. Steiner, W. W. Szymanski (2012) Characterisation of four different bipolar charging devices for nanoparticle charge conditioning. Journal of Nanoparticle Research, Vol. 14, I 6.; G. Steiner, M. Attoui, D. Wimmer, G.P. Reischl (2010) A Medium Flow, High Resolution Vienna DMA running in Recirculating Mode. Aerosol Science & Technology, 44, 4, 308-315)
If you have SEM images for the nano particles then various softwares are freely available to get the size and average distribution of these nano particles. Some examples are Image-J, J-micro vision. If you want to measure the size and average particle size Small and Wide Angle X-ray Scattering (SWAXS) can be used for the same.
If your particles are in dispersion or of you can disperse them you could use DLS dynamic light scattering to measure their sizes. If they are quite large you could use laser scattering with a mastersizer. BR
If you have possibilities to observe the nanoparticles on TEM it is the best. Just take images and then analyze particles in the program. It is quite boring work (circling nanoparticles, converting areas to d), but you will get realistic size distributions. DLS is not appropriate because usually the equations are made for spherical particles. And with DLS you measure hydrodynamic diameter not the real size.
Yes I agree with Blaž Belec clarification regarding DLS instrument and I agree with Ajeet Kumar gist of explanation regarding calculating average size.