In general, what is the Z-average size for the particle can be considered as nano range? For example, the result I obtain for Particle Size is 10nm. Can it be concluded that my sample is in nano range?
Since to the nano range includes everything that has a size from 1 to 1000 nm, it apparently your particles, having a measured size of 10 nm, are also nano particles.
generally size 1-100 nm people refer to nano range. But if you are concern with quantom range ( size below exciton bohr radius) then it differ with the types of materials.
Yes, if the z-average size is 10nm it can safely be concluded that your sample is in the nano range. There are different ways to analyze dynamic light scattering data, and the z-average is the easiest overall average size.
However please note, that one has to be careful with the reversal of the statement: If the z-average is larger than 100nm that does not mean that there are no nanoparticles present. For example if the z-average was 600nm it could still be 'covering up' a peak at 50nm which may or may not show in the distribution analysis. In addition, the hydrodynamic size falls between the smallest and the largest dimension of a non-spherical object: a rod-like particle with a dimension of 10nm x 10nm x 900nm may show a z-average above 100nm, yet the particles have at least one dimension in the nano range.