Particle size with circular shaped can be easily calculated by SEM image with image J but how to calculate the particle size for the irregular shaped particle.?
I guess the simplest method is just to measure several lines across the particle and take an average? You haven't provided an image so it is incredibly difficult to understand how irregular your particle is.
For the area you can greyscale and threshold, see: https://helloacm.com/how-to-compute-the-area-of-irregular-shapes-using-imagej/
If all the particles have similar irregular shape, you should measure the largest diameter across each particle and then take the average value.
Otherwise, measure several diameters for each particle and take average for each. ParticleSizer tool is another good option.
This would also be morphology dependent, what is the morphology of the nanostructures? Please also provide us with information about the estimate sizes, sometimes TEM is better suited for accurate particle size analysis.
A common method for denoting the size of a non spherical particle is to report the Equivalent Circle Diameter, which is the diameter of a circle with the same area.
I believe that this is a parameter that can be reported from the inbuilt analysis in ImageJ.
To add to the complication of image interpretation, remember that your image is a 2D representation of a 3D object.
or manually measure the size ofthe particle with line tool and use (Ctrl+M) for measuring the corresponding data then simply plot it with Origin and the procedure will be there in youtube ...