The morphologies of nanoparticles depend on the orientations of crystals in them. A wide variety of nanoparticles morphologies is seen in the literature, such as spherical, cubic, trigonal, tetrahedral, hexagonal, octahedral, decahedral, polyhedral, rods, petal, spinel, tube-like, floral and so on. you may see the following:

https://link.springer.com/article/10.1007%2Fs12598-010-0031-5

http://chemtube3d.com/AuNano_Possible%20morphologies%20of%20Au%20Nanoparticles.htm

Article Shape-controlled synthesis of Pt–Pd core–shell nanoparticles...

https://dspace.lboro.ac.uk/dspace-jspui/bitstream/2134/25368/1/Thesis-2017-Young.pdf

Article Bicontinuous Block Copolymer Morphologies Produced by Interf...

Article Silver nanoparticles with different morphologies: Growth mec...

Hi Imran,

In the literature, you may find a plenty of papers dealing with nanomaterials and nanomorphologies. As example, I suggest the following papers:

DOI:10.3390/nano6060110

DOI:10.1039/C6CE01076H

The type of morphology of nano-materials are highly dependent on the nature of application. For example, if you would like to use your nano-materials as adsorbents then BET specific surface area (SSA), Point of zero charge (pHPZC), XRD and SEM are more than enough to know about the surface. Good luck!