. Author manuscript; available in PMC: 2021 Jun 21.

Published in final edited form as: Nanoscale. 2020 Jun 3;12(23):12346–12356. doi: 10.1039/d0nr01614d

Table 3.

A summary of input parameters in the two Monte Carlo models for the cuvette experimental data analysis and laser warming of a GNP-loaded droplet simulation.

Parameters		Cuvette experimental data analysis	Laser warming of droplets
n_d	Refraction index of solutions	1.333 (water); 1.355⁵³ (egg white)	1.35^{54, 55} (droplet)
n_a	Refraction index of air	1.00	1.00
r_a	1/e² radius of Gaussian beam (mm)	0.562 mm ^*	1 ^*
I_o	Laser energy density (W m−²)	$P_{i n} ∕ π r_{a}^{2}$ ^*	1.83×10⁹ ^*
PW	Pulse width of laser beam (ms)	−	0.5^*
E_p	Photon energy at 1064 nm (eV)	1.211	1.211
N_photons	Flux of photons $(\frac{#}{m^{2} \cdot s})$	I₀/E_p	I₀/E_p
μ_t,medium	Extinction coefficient of medium	$\frac{1}{L} ln (\frac{P_{o u t}}{P_{i n}})$ , Eq. (S9) without GNPs ^*	−
μ_s,medium	Scattering coefficient of medium	0 (water); or characterized same as GNPs	−
μ_t,tot	Attenuation coefficient of GNP solutions	$\frac{1}{L} ln (\frac{P_{o u t}}{P_{i n}})$ , Eq. (S9) with GNPs ^*	μ_a,tot + μ_s,tot
μ_a,tot	Absorption Coefficient of GNP solutions	N * C_abs + μ_a,medium, Eq. (1)	5 cm⁻¹^**
μ_s,tot	Scattering Coefficient of GNP solutions	N * C_sca + μ_s,medium, Eq. (2)	0.3 cm⁻¹ (GNR) ^, 11 cm⁻¹ (GNS) ^, or other assume values
η₀	Photothermal conversion efficiency of GNP	Varied to find experimental fit ^**	−
g	Scattering anisotropy factor	0 (GNS)⁵⁶ ^; 0.25 (GNR)⁵⁷ ^	0 (GNS)⁵⁶ ^; 0.25 (GNR)⁵⁷ ^

Measured values

^**

Assumed values. The other unmarked values are either known constants or derived from the measured or assumed values. The choice of scattering anisotropy factors for different GNPs is explained in section S2.2 Part (1).