Nano Res.
Electronic Supplementary Material
Triboelectrification induced UV emission from plasmon
discharge
Chang Bao Han1,§, Chi Zhang1,§, Jingjing Tian1, Xiaohui Li1, Limin Zhang1, Zhou Li1, and Zhong Lin Wang1,2 ()
1
Beijing Institute of Nanoenergy and Nanosystems, Chinese Academy of Sciences, Beijing 100083, China
School of Material Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
§
These authors contributed equally to this work.
2
Supporting information to DOI 10.1007/s12274-014-0634-5
For a charged plate with the charge density of  where the size of the plate is l × l0: If l >> l0, the charged plate
can be equivalent to a charged rod with the charge density of . Here,  =  l0. We assume that the charge
distribution on the plate or rod is uniform. The vector sketch for the static plate and rod is shown in Fig. S1.
According to the electrostatics, the electric potential at a point p in space can be obtained using calculus

Up 

2


2

  
l
l
l
l


ln x   y 2   x     ln  x   y 2   x    

4  0  
2
2 
2
2  




Figure S1 A vector sketch of a charged plate and charged rod.
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

 
(S1)
Nano Res.
In this work, the charged plate is moving along the x direction with a uniform speed of v. Because the
moving speed is far less than the velocity of light, the electric field and potential can be calculated using a static
model. The schematic drawing for the charged plate is shown in Fig. S2. We defined d as the vertical distance of
point p away from the moving direction, corresponding to the time t = t0 = 0. So x = vt, y = d,  =  l0. Based on
Eq. (S1), the potential for position p at time t is
2 
2


 l 0  


l
l 
l
l
2
2

ln vt   d   vt    ln vt   d   vt  
p =

4  0  
2
2 
2
2



p =






 
(t > 0)
2 
2 


 l 0  
l
l
l
l


ln  vt   d 2   vt     ln   vt   d 2   vt    

4  0  
2
2 
2
2  






Figure S2 Schematic of the charged plate moving along the x direction.
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 
(t < 0)