In this study, visible light extinction spectra of different gold nanoparticle assemblies were simulated using boundary element method (BEM)
IntroductionGold nanoparticles feature strong extinction in the visible wavelength range due to the evolution of localized surface plasmon resonance (LSPR) upon interaction with visible light, which can be exploited in the field of sensing [1-3], catalysis [4,5], and biomedical applications [6,7]. Since the LSPR of gold nanoparticles manifests itself in a pronounced extinction peak in the visible, it can be conveniently investigated using ensemble spectroscopy techniques. The optical response of the particles on the other hand is tunable: the peak position of LSPR is sensitive to the size [8] and shape [9, 10] as well. Organizing the individual gold building blocks into self-assembled structures can open route towards new properties and applications [11]. In the self-assembly processes, 1D-chains (or small oligomers), 2D-arrays or 3D-compact nanoparticle clusters [12] are most commonly obtained. These nanostructures enable tuning of the optical response [13][14][15] for new type of applications, such as colorimetric assays [16] or based on SERS enhancement [17]. The clustering of the particles and the evolution of the different assemblies can be followed by UV-Vis spectroscopy. There are several literature examples, where assignment of the evolved nanoparticle cluster structure has been carried out solely based on spectroscopic characterization (or by naked eye due to the color change) and the identification of dimers, trimers [13], chains [18,19] or larger clusters [15] based on the extinction spectra has been claimed. Two-dimensional nanoparticle arrays have been also reported with potentially useful optical properties due to the collective plasmonic oscillations [20,21].Besides the structure or size [22] of the particle cluster, the interparticle distance between the building blocks [21,23] has also a profound effect on the evolving coupled mode. It has to be emphasized that in a real experiment -independently of the resulting structure -the clustering process usually generates a distribution of structures. Consequently, a multitude of coupled modes can exist simultaneously that can be excited by the external source. However, the overall optical response of the system is determined by the optically dominant centers [19], which is responsible e.g. for the presence of a 'distinct' coupled mode in the extinction spectrum during the aggregation of gold