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1 Velocity (μm/s) Z (μm) Supporting information Precise gold nanoparticles sorting in flowing system Wei Wu, Xiaoqiang Zhu, Yunfeng Zuo, Li Liang, Shunping Zhang, Xuming Zhang, Yi Yang *. School of Physics & technology, Wuhan University, Wuhan 7, China.. Department of Applied Physics, Hong Kong Polytechnic University, Hong Kong * To whom correspondence should be addressed. yangyiys@whu.edu.cn. Velocity analysis in the depth of the channel Y (μm) - Z (μm) Figure S The sectional profile of velocity in the channel at X=. Velocity variation with depth at three position of the section. Unlike streams in one channel that velocity has a rapid change along the depth, the velocity near the stagnation along the depth changes slowly. And this advantage ensures the sorting effectiveness of the device in the channel.

2 Laser power ( mw/μm ). An operation map of sorting power to flow rate nm 7 nm nm nm Flow rate (Q S ) ( nl/s ) Figure S Sorting power as a function of flow rate. Where, QS = Qcore+Qsheath, Qsheath/Qcore =, Q/Q = /. For a fied flow rate, the power must be larger than value on the line and then the particles can be sorted to the outlet. The value between two lines is appropriate for sorting the two particles. The figure shows that it is easier to get a laser power when the diameter of particles are smaller. It also indicates that the sorting power can be much smaller with the increasing of the diameter.

3 Intensity (a. u.). Scattering of gold nanoparticles of and nm in diameter μm Piel position Figure S Dark field image of the and nm nanoparticles in the same picture with the same conditions. Particles are in the working region of the device and the laser power is mw. Scattering intensity of the nanoparticles at the -ais. As it is shown in the manuscript about the scattering intensity of nanoparticles of 5 and nm in diameter, the peak of larger particles are stronger and wider. The relative intensity of the larger particles is and the smaller one is. The scattering intensity of larger one is about times than the smaller one.

4 Count Count. Sorting process and spectrum of gold nanoparticles of and nm in diameter s 5 μm Outlet. s 5.8 s. s.6 s (c) Outlet 5 s Wavelength (nm) Figure S The time sequence of four typical sorting processes in a miture of gold nanoparticles using the real-time particle identification scheme. Both processes are from the same video, recorded in the same region and with the identical laser illumination. The orange dash line is the centre line of the chip, and the triangular color points indicate the position and the moving direction of the particles. As epected, the low-intensity scattering nanoparticles ( nm) move in one direction, while the high-intensity scattering particles ( nm) move in the opposite direction. Particle sizes are distinguished from the scattering light intensity of the laser as showed in the image. Unlike the sorting process of nanoparticles of diameter of 5 nm and nm, the sorting time in Figure S is a little longer than that in Figure 5. It is also because the difference of optical forces between the -nm and -nm nanoparticles is not such larger. Figure S (b-c) show the spectra of different particles when they go through the outlet and outlet. Five of them have the peaks at the wavelength of 58 nm (Outlet ) and the rest five have much broader spectra (Outlet ).

5 μm 9 μm 5 μm 5. Propagation of laser beam in the chip Inlet Inlet Inlet Inlet z y Top view y Cladding Core Fiber Lens Working μm Outlet Outlet Side view Core Cladding Lens Inlet 5 PDMS wall Glass substrate z Fiber Working Figure S5 The laser from the fiber output is collimated in the horizontal direction (the upper part) but diverges freely in the vertical direction (the lower part). In the working region (i.e., the region for particle sorting), the laser beam has the width of 5 m in the horizontal plane and > m in the vertical plane. In the working region, the laser beam is wide enough to cover the whole microchannel depth ( m). 6. Supporting movie (Video S )

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