The Mie scattering is a scattering of electromagnetic waves by a sphere of radius a and permittivity ε in homogeneous systems. The scattering and absorption cross-sections are very important because they give the power that is scattered by the particle or absorbed by the particle. The scattering cross-section multiplied by the power density of the incident wave is equivalent to total amount of energy removed from the electromagnetic wave due to scatter in all directions, and a certain amount of energy is absorbed, which results in a heating of the target. The cumulative

effective of scattering and absorption is the selleck screening library absorption cross-section. The scattering efficiency is described Selleckchem Milciclib as , where σ g = πa 2 is geometric cross-section and σ s is the scattering cross-section; it can

be expressed as Equation 2: (2) where α = 2πa/λ, λ is the relative scattering check details wavelength λ = λ 0 / m 0 where λ 0 is the incident wavelength and m 0 is the refractive index of the surrounding medium; a n and b n represent the magnetic and electric multipoles of order n, respectively. The extinction efficiency is described as , where σ e is the extinction cross-section; σ e = σ a + σ s is the total cross-section of the particle, and it is described in Equation 3: (3) Therefore, the absorption efficiency is . We study the size of the particles as a function of the scattering and absorption efficiency using the Mie scattering Dapagliflozin theory. One important thing to mention is that these higher plasmonic modes are followed by higher absorption which is in accordance with the observations made by [9]. Metallic nano-particles for LT We calculated the efficiencies of scattering and absorption of the gold spherical particles in different sizes using the MiePlot (Philip Laven, Geneva, Switzerland) [15]. In this calculation, we choose the sounding medium

of air temperature at 25°C and the incident plane wave wavelength from 240 to 840 nm. Our study shows that for a particle with a diameter of 10 nm, which is small when compared with the wavelength, the power scattered by the particle is much less than the product of geometric cross-section and incident Poynting vector. Therefore, the scattering cross-section is much less than geometric cross-section. In other words, the efficiency of absorption is greater than the scattering efficiency of this small particle; thus, for metallic spherical nano-particle, much smaller than an incident wavelength absorption is dominant. Our calculations show that its absorption still prevails over scattering for particles with a diameter of 50 nm, but they are at the same order of magnitude (Q s ≈ 6.5 and Q a ≈ 7.8) and within a narrow spectrum from 350 to 400 nm. For particles with a diameter of 100 nm, the scattering cross-section is higher (Q s ≈ 8 and Q a ≈ 2).