Energy-saving quality road lighting with colloidal quantum dot nanophosphors Talha Erdem,1 Yusuf Kelestemur,1 Zeliha Soran-Erdem,1 and Hilmi Volkan Demir1,2,* 1 Department of Electrical and Electronics Engineering, Department of Physics, and UNAM–Institute of Materials Science and Nanotechnology, Bilkent University, Ankara, 06800, Turkey 2 School of Electrical and Electronic Engineering, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 639798, Singapore *E-mail: volkan@stanfordalumni.org Supplementary Information 1 Calculation methodology of mesopic luminance The mesopic luminance (Lmes) is calculated according to CIE 191:2010 report [1], and defined for the photopic luminance levels between 0.005 and 5 cd/m2. The eye sensitivity function for the mesopic regime is defined as the linear combination of the photopic and scotopic eye sensitivity functions given in Equation (S1) and the mesopic luminance is calculated by Equation (S2). M (m)Vmes () mV () (1 m)V '() (S1) Lmes 683 / Vmes ( 0 ) Vmes () P()d (S2) where V(), V'() and Vmes() are the photopic, scotopic, and mesopic eye sensitivity functions, respectively; P() is the spectral radiance, M(m) is a normalization constant such that Vmes() has the maximum value of 1, 0 is 555 nm, and m is a coefficient that depends on the visual adaptation conditions. In this work, we use this most recently adapted mesopic photometry system for the evaluation of QD-WLED based road lighting. [1] CIE Technical Report 191:2010. Recommended system for mesopic photometry based on visual performance. (CIE Central Bureau, Vienna, Austria, 2010). S1 2 Computational methodology In this study, the color converting white LED was modeled to be comprised of a blue LED pumping the QDs which convert the blue light to green, yellow, and red light generating the white light spectrum. The emission spectra were modeled to be Gaussian type for each color component, i.e., blue, green, yellow, and red. In the first step of simulations, we varied the blue wavelengths between 440 and 490 nm, the green between 500 and 540 nm, the yellow between 550 and 590 nm, and the red between 600 and 640 nm, all with a 10 nm step size. Totally, 750 wavelength combinations were generated. The blue component was intentionally included to the design in order to obtain the information about required spectral features of the blue LED so that the blue LEDs specific to street lighting can be produced. In addition, we changed the full-width at half maximum (Δλ) of each of the Gaussian-type spectra between 30 and 45 nm with a 5 nm step size. These Δλ combinations constituted 256 cases. Moreover, the amplitude of the color components were varied over 0, 1, 2, and 3 units and then normalized to 1000. As a result, 529 amplitude combinations were obtained. In total, 101,568,000 (750×529×256) QD-WLED designs were generated and the Lmes and CQS thresholds mentioned above were applied. To examine whether a wavelength step size of 10 nm is sufficient, we performed additional simulations around the average wavelengths with a 5 nm step size and also further with 2.5 nm. For each of the cases, 81 wavelength combinations were obtained and the resulting number of spectrum combinations became 10,969,344 (81×529×256). These simulations indicate that the results obtained with a wavelength step size of 10 nm are in good agreement with those of 5 and 2.5 nm step sizes. Therefore, for understanding the required spectral conditions we used the first simulations. On the other hand, it is quite possible to miss the spectrum possessing the highest Lmes with a wavelength step size of 10 nm. To reveal this information we followed another 3-step methodology. In this case, we carried out simulations around the wavelength combination giving the highest S2 Lmes with 5 nm step size following the first experiment. Subsequently, the third step of the simulations was carried out around the wavelength combinations of the previous step giving the highest Lmes, this time with the 2.5 nm wavelength step size. As in the previous cases, 10,969,344 (81×529×256) spectrum combinations were tested in the last two steps of the simulations at all of the six radiance levels. 3 Results Table S1. Spectral parameters of QD-WLEDs resulting in the highest Lmes for all the four mesopic road lighting standards, and for scotopic and photopic vision regimes. : peak emission wavelength, : FWHM and α: relative amplitudes of color components of blue (b), green (g), yellow (y), and red (r). λ (nm) Δλ (nm) α (1/1000) b g y r b g y r b g y r Scotopic 462.5 522.5 577.5 617.5 30 35 30 30 267 267 200 267 Mesopic 1 460.0 522.5 555.0 610.0 30 45 45 30 167 167 167 500 Mesopic 2 460.0 515.0 550.0 610.0 35 35 35 30 125 125 250 500 Mesopic 3 460.0 515.0 550.0 610.0 35 35 35 30 125 125 250 500 Mesopic 4 460.0 517.5 555.0 612.5 35 35 40 30 125 125 250 500 Photopic 462.5 522.5 555.0 612.50 30 40 30 30 125 125 250 500 Table S2. Radiance (P), photopic luminance (Lp), mesopic luminance (Lmes), CRI, CQS, and correlated color temperature (CCT) of the QD-WLED spectra exhibiting the highest mesopic luminance for the simulated four mesopic road lighting standards, and scotopic and photopic vision regimes. P (mW m-2sr-1) Lp (cd/m2) Lmes (cdmes/m2) CRI CQS CCT (K) Scotopic 1.50×10-2 0.005 0.098 85.0 88.4 4969 Mesopic 1 1.47 0.577 0.625 85.8 85.1 3417 Mesopic 2 2.36 0.932 0.980 85.9 85.1 3243 Mesopic 3 3.39 1.340 1.393 85.9 85.1 3243 Mesopic 4 4.74 1.886 1.930 86.1 85.2 3164 Photopic 13.6 5.386 5.386 87.1 85.3 3033 S3 Table S3. Required radiance of the conventional source (Pconv) such that it can generate the equal amount of mesopic luminance (Lmes) that the QD-WLED generates and the radiance of QD-WLED is required (PQD-WLED) for generating the designated Lmes. Scotopic Lmes (cd/m2) 0.098 PCWFL (W m-2sr-1) PHPS (W m-2sr-1) 3.7×10-5 PMH (W m-2sr-1) 2.2×10-5 PQD-WLED (W m-2sr-1) 1.5×10-5 Mesopic 1 0.625 2.0×10-5 169.9×10-5 178.6×10-5 199.0×10-5 147.3×10-5 Mesopic 2 0.980 271.9×10-5 276.6×10-5 319.8×10-5 235.6×10-5 Mesopic 3 1.393 391.9×10-5 389.0×10-5 462.0×10-5 338.8×10-5 Mesopic 4 1.930 547.9×10-5 534.5×10-5 650.1×10-5 474.3×10-5 Photopic 5.386 1587×10-5 1460.0×10-5 1890×10-5 1355.0×10-5 Table S4. Minimum power conversion efficiency of the QD-WLEDs required for consuming less electrical power than the conventional sources CWFL, HPS, and MH while generating the same mesopic luminance indicated in Table S3. Scotopic CWFL 21% HPS 13% MH 16% Mesopic 1 24% 26% 18% Mesopic 2 24% 26% 18% Mesopic 3 24% 27% 18% Mesopic 4 24% 28% 18% Photopic 24% 29% 17% S4 Table S5. Average and standard deviations of peak emission wavelengths (μ(λ) and σ(λ), respectively) of the spectra passing the thresholds for all color components for the corresponding mesopic road lighting standards and vision regimes. The acronyms b, g, y, and r stand for the blue, green, yellow, and red, respectively. μ(λ) in nm σ(λ) in nm b g y r b g y r Scotopic 457.6 512.7 560.6 613.8 5.71 9.20 11.3 4.88 Mesopic 1 460.3 528.9 563.7 610.0 1.93 1.88 2.05 1.06 Mesopic 2 459.4 527.3 561.4 610.4 2.78 9.93 12.9 1.97 Mesopic 3 459.5 528.7 560.3 610.4 2.61 10.4 12.6 1.97 Mesopic 4 459.5 528.1 562.1 611.0 2.61 9.82 14.1 3.02 Photopic 459.8 529.8 564.4 612.3 2.45 8.64 15.3 4.23 Table S6. Average and standard deviations of relative amplitudes (μ(α) and σ(α), respectively) of the spectra passing the thresholds for all color components for the corresponding road lighting standards and vision regimes. The acronyms b, g, y, and r stand for the blue, green, yellow, and red, respectively. μ(α) /1000 y r b σ(α) /1000 g y r 199.7 313.3 34.5 39.6 38.0 26.9 244.2 134.2 448.7 36.9 79.9 90.3 61.7 158.5 234.6 144.4 462.8 30.3 82.5 93.3 58.2 Mesopic 3 153.6 243.2 129.9 473.5 25.9 83.9 101.1 52.3 Mesopic 4 146.9 237.5 147.9 467.9 25.3 78.8 92.6 57.8 Photopic 138.4 240.3 151.1 470.3 21.9 72.0 91.6 48.0 b g Scotopic 245.6 241.5 Mesopic 1 173.1 Mesopic 2 S5 Table S7. Average and standard deviations of full-width at half maxima (μ(Δλ) and σ(Δλ), respectively) of the spectra passing the thresholds for all color components for the corresponding road lighting standards and vision regimes. The acronyms b, g, y, and r stand for the blue, green, yellow, and red, respectively. b μ(Δλ) in nm g y r b σ(Δλ) in nm g y r Scotopic 34.2 36.9 37.6 35.9 4.86 5.40 5.53 5.09 Mesopic 1 37.5 39.3 37.8 33.9 6.17 5.52 5.52 3.32 Mesopic 2 38.7 39.2 37.4 34.1 5.93 5.45 5.84 3.44 Mesopic 3 38.7 39.9 37.2 35.7 5.17 5.53 5.78 4.02 Mesopic 4 38.2 39.0 37.0 36.2 5.10 5.50 5.86 4.61 Photopic 37.7 38.9 36.7 36.1 5.10 5.59 5.61 5.05 4 Synthesis of core/graded-shell CdSe/CdSeS/ZnS quantum dots For a typical synthesis, 1 mmol CdO, 2mmol Zn(acetate)2, 5 ml of OA and 25 ml of 1-ODE were loaded into a 50-ml three-neck flask. Then, the flask was degassed for nearly 2 hours at 100⁰C under vigorous stirring to remove the oxygen, water and other residues. Subsequently, the temperature was raised to 310⁰C under argon flow and a solution of TOPSe was injected. The TOPSe solution was prepared via dissolution of 0.2mmol of Se powder in 0.2ml of TOP and 0.8 ml of ODE mixture. After nearly 1 min, 0.3 ml of DDT dissolved in 0.8 ml of 1-ODE was injected dropwise. After 20 minutes of growth, a solution containing 2 mmol of S dissolved in 1 ml of TOP was injected. Then, the quantum dots were allowed to grow for another 10 minutes to complete the synthesis. The mixture was cooled down to room temperature and precipitated with hexane/acetone mixture twice. Then, the resulting quantum dots were dissolved in hexane and used for further experiments. S6 5 Synthesis of core/shell quantum dots New generation CdSe/CdS core/shell CQDs are synthesized in two steps. Firstly, CdSe cores are synthesized. In the CdSe core synthesis, cadmium myristate and selenium dioxide are used as cadmium precursor and selenium precursor, respectively. They are dissolved in octadecene and evacuated at room temperature for 10-15 minutes. After evacuating the solution, the solution is heated to 240 ⁰C within 10 min. When the temperature is reached 220 ⁰C – 240 ⁰C, the nucleation of CdSe cores are started and observed with the change of solution colour to yellowish. Then, the temperature of the solution is kept at 240 ⁰C for the growth of CdSe cores until the desired size of CdSe cores is reached. After that, the reaction is stopped by decreasing the temperature. Finally, as-synthesized CdSe cores are precipitated by using acetone and dissolve in hexane. For the coating of CdS shell, certain amount of CdSe cores (100 nmol) dissolved in hexane is loaded to four-neck flask containing 3 mL octadecene and 3 mL oleylamine. Then, the solution is evacuated at around 100 ⁰C remove hexane and any other organic residuals. After that, the temperature of the reaction solution is set to 300 ⁰C for the coating of CdS shell under argon atmosphere. When the temperature is reached around 240 ⁰C, injection of calculated amount of cadmium precursor (cadmium oleate diluted in octadecene) and sulphur precursor (octanethiol diluted in octadecene) is started with a rate of 3mL/min. After complete injection of shell precursors within two hours at 300 ⁰C, the reaction is stopped with decreasing the temperature. As-synthesized CdSe/CdS core/shell CQDs are precipitated with acetone and dispersed in hexane. S7