Supplemental Material Quantum confinement effects across two-dimensional planes in MoS2 quantum dots Z. X. Gan,1 L. Z. Liu,1 H. Y. Wu,1 Y. L. Hao,1 Y. Shan,1 X. L. Wu,1,* and Paul K. Chu2,* 1 Key Laboratory of Modern Acoustics, MOE, Institute of Acoustics and Collaborative Innovation Center of Advanced Microstructures, National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, P. R. China. 2 Department of Physics and Materials Science, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, China. 1 (a) a 320 340 360 380 400 420 440 460 480 500 P L in te n s ity (a .u .) NMP E x w a ve le n g th (n m ) 350 400 450 500 550 600 650 700 W a v e le n g th (n m ) (b)b P L in te n s ity (a .u .) N M P -W a te r E x w a ve le n g th (n m ) 350 400 450 500 550 600 320 340 360 380 400 420 440 460 480 500 650 700 W a v e le n g th (n m ) Figure S1. (a) PL spectra acquired from N-methylpyrrolidinone (NMP). The pure NMP solvent exhibits obvious PL. When the excitation wavelength is varied from 320 to 400 nm, the PL peak appears at around 475 nm. As the excitation wavelength is increased, the PL peak is weak and the position redshifts gradually. (b) PL spectra obtained from the NMP mixed with water (volume ratio = 1:1). Owing to the red-edge effect,S1 namely the interactions between the fluorescent NMP and water molecules, the PL peak shifts from 420 to 550 nm as the excitation wavelength is varied from 320 to 500 nm. Usually the relaxation time of a polar solvent (∼10 ps) is less than the fluorescence lifetime of organic dyes (several nanoseconds). Therefore, the 2 solvation process is normally completed before fluorescence emission. If the solvation dynamics is not an order of magnitude shorter than the fluorescence lifetime, the fluorophore can be emitted simultaneously to the excited state energy level, creating a time-dependent emission energy. The time-resolved dynamics is related to the steady-state fluorescence by the time integral of the time-dependent emission energy created by alignment of the solvent dipole with the excited fluorophore. This phenomenon is called the “red-edge effect” which makes the fluorescence peak dependent on the excitation wavelength.S1 100 0.27 nm 5 nm Figure S2. TEM image of the MoS2 nanoflakes (NFs) acquired by simple bath sonication. Inset: High-resolution TEM image. No PL can be detected from these NFs. 3 1000 MoS2 NF a 408.6 (a) 383.4 800 600 400 Intensity (a.u.) 200 0 800 MoS2 QD (b)b 408.8 383.5 600 400 200 0 360 370 380 390 400 410 420 -1 Raman shift (cm ) Figure S3. Raman spectra: (a) MoS2 NFs and (b) QDs. The frequency difference between the E12g and A1g Raman modes is correlated with the film thickness, that is, 19 cm−1 for the monolayer region and 28 cm−1 for bulk.S2-S4 Herein, the frequency difference of about 25 cm−1 implies that both MoS2 NFs and QDs contain a few layers (more than 3 layers). Hence, the MoS2 QDs are approximately spherical. The effective mass approximation theory assumes the particle to be spherical and that the motion of electron and hole may be described in terms of their effective masses.S5 It cannot provide quantitative results for a layered structure, but instead qualitative information about the size-dependent properties.S5 4 In te n s ity (a .u .) (a) Mo Mo Mo 4+ 4+ 3 d 5 /2 3 d 3 /2 S 2s 6+ 236 NF 232 228 224 220 B in d in g e n e rg y (e V ) In te n s ity (a .u .) (b) 240 Mo 4+ 3 d 3 /2 QD (blue) 6+ Mo 3 d 3 /2 6+ Mo 3 d 5 /2 238 236 Mo 234 4+ 232 3 d 5 /2 230 228 B in d in g e n e rg y (e V ) In te n s ity (a .u .) (c) 240 Mo 4+ 3 d 3 /2 QD (no color) 6+ Mo 3 d 3 /2 238 6+ Mo 3 d 5 /2 236 234 4+ Mo 232 3 d 5 /2 230 228 B in d in g e n e rg y (e V ) Figure S4. Mo 3d and S 2s core level XPS spectra obtained from (a) MoS2 NF, (b) blue QDs, and (c) and colorless QDs. The Mo 3d XPS spectrum of NFs in Fig. S4a reveals a doublet at 229.10 and 232.25 eV corresponding to Mo4+ 3d5/2 and Mo4+ 3d3/2, an S 2s peak at 232.25 eV, and a weak peak of Mo6+ at ∼226.4 eV.S6, S7 Figs. S4b and S4c display the Mo 3d XPS spectra acquired from the blue and colorless QDs, respectively. The two spectra both show two doublets of [(Mo4+ 3d5/2 and 3d3/2) 5 and (Mo6+ 3d5/2 and 3d3/2)]. XPS indicates that cutting the MoS2 alters the valence states of Mo and the dangling bonds reconstruct to polysulfide or react with H2O and ethanol during the ultrasonic treatment.S6, S7 The Mo atoms on the QD are partially oxidized but there is no essential difference in the valence states between the two types of QDs indicating that the surface states do not alter significantly during storage. (a)a 4 0 0 .0 k Q D (b lu e ) In te n s ity (a .u .) 3 5 0 .0 k O 1s 3 0 0 .0 k 2 5 0 .0 k 2 0 0 .0 k M o 3d C 1s M o 3p S 2p 1 5 0 .0 k 1 0 0 .0 k 5 0 .0 k (b) b 0 .0 1200 1000 800 600 400 200 0 B in d in g e n e rg y (e V ) 3 0 0 .0 k Q D (n o c o lo r) In te n s ity (a .u .) 2 5 0 .0 k O 1s 2 0 0 .0 k 1 5 0 .0 k 1 0 0 .0 k C 1s M o 3p 5 0 .0 k 0 .0 1200 1000 800 600 400 M o 3d S 2p 200 0 B in d in g e n e rg y (e V ) Figure S5. Survey XPS data: (a) blue MoS2 QDs and (b) colorless MoS2 QDs. 6 Calculation of surface free energy Figure S6. A large MoS2 slab (9.48×20×12.294 Å3) containing three unit cells in the x direction, four in the y direction, and two layers along the z axis with the yellow and brown balls representing S and Mo atoms, respectively. The CASTEP package with default convergence tolerances of 1.0×10-5 eV for energy and 0.03 eV/Å for maximum displacement is used. As shown in Figure S5, the large slab (9.48×20×12.294 Å3) contains three unit cells in the x direction, four in the y direction, and two layers along the z axis. The two upper rows are allowed to relax while the two lower ones are fixed at the bulk geometry in order to simulate the bulk constraints. The calculation which is performed at the Γ point with a cutoff energy of 400 eV is suitable for the prediction of the electronic and structural properties of the MoS2 perfect surface.S8 The surface free energy can be calculated by:S9 Esurf = [Eslab − n×Ebulk]/2A, 7 where Eslab is the energy of the slab containing n MoS2 units, Ebulk is the unit cell bulk energy, and A is the area of the surface unit cell. Afterwards, the optimized geometrical structure is employed to calculate the heat capacity of MoS2. References S1 A. Samanta, J. Phys. Chem. B 110, 13704 (2006). S2 C. Lee, H. Yan, L. E. Brus, T. F. Heinz, J. Hone, and S. Ryu, ACS Nano 4, 2695 (2010). S3 P. Joo, K. Jo, G. Ahn, D. Voiry, H. Y. Jeong, S. Ryu, M. Chhowalla, and B. S. Kim, Nano Lett. 14, 6456 (2014). S4 S. Huang, X. Ling, L. Liang, J. Kong, H. Terrones, V. Meunier, and M. S. Dresselhaus, Nano Lett. 14, 5500 (2014). S5 F. Parsapour, D. F. Kelley, S. Craft, and J. P. Wilcoxon, J. Chem. Phys. 104, 4978 (1996). S6 N. Kang, H. P. Paudel, M. N. Leuenberger, L. Tetard, and S. I. Khondaker, J. Phys. Chem. C 118, 21258 (2014). S7 H. Y. Nan, Z. L. Wang, W. H. Wang, Z. Liang, Y. Lu, Q. Chen, D. W. He, P. H. Tan, F. Miao, X. R. Wang, J. L. Wang, and Z. H. Ni, ACS Nano 8, 5738 (2014). S8 P. Raybaud, J. Hafner, G. Kresse, and H. Toulhoat, Surf. Sci. 407, 237 (1998). S9 D. J. Shu, S. T. Ge, M. Wang, and N. B. Ming, Phys. Rev. Lett. 101, 116102 (2008). 8