You can make a general "particle in a spherical box" (https://en.wikipedia.org/wiki/Particle_in_a_spherically_symmetric_potential) approximation which would give you a coarse idea about the order of magnitude of the size, but unless you have another info (number of electrons in the system etc.) we can't go any further.
Dear madam, I think Literature is available for that particular material. For a particular material, its peak is based on the size of the particle, so in literature for your particular material you may get the particle size for a particular peak.
Marwa Khan - What I was trying to say is, to calculate particle size from UV-Vis spectra, you should have a Standard chart for your particle, i.e., for a particular size itz peak will be in a particular Wavelength. For different particle size there will be specific wavelength peak. Sir John Clarkson explained it very well.
But determining the size from UV vis spectra will not be the appropriate way. As per my knowledge DLS will be best for calculating size of Particles.