Processes at the cathode surface

[Vdc vs Gamma]

Secondary electron Emission

The secondary electron yield, g, is the average number of electrons emitted per incident ion.

Empirically it has been found that g increases as the work function f  decreases, i.e.(1-4)

[gamma]

where Ei is the effective potential energy (assumed to be the argon ionization energy, 15.76 eV).(5)

A theoretical interpretation of this empirical equation involves several assumptions about ion bombardment. There are also significant variations in measured work functions, especially for elements with low ionization potential, and care is required when the term in brackets is very small.(6) Hence the estimates for g given are indicative only of general trends.

Note that the values for g differ from ref (3) because of the more recent values for f  used here.


Element

Work Function (eV)(7,8)

Secondary Electron Yield, g 

DC Bias Voltage (V)

Ag 4.26 0.120 748
Al 4.28 0.119 544
Au 5.1   0.067 792
Bi 4.4    0.122  
C 4.8    0.086  
Ca 2.9    0.208  
Co 5.0   0.073 752
Cr 4.5   0.105 700
Cu 4.65 0.096 740
Fe 4.5   0.105 720
Ga 3.9    0.144  
Ge 4.8    0.086  
Mg 3.66 0.159 476
Mn 3.8    0.150  
Mo 4.6   0.099 724
Ni 4.9    0.080 740
Pb 4.25 0.121 760
Pt 5.3    0.054  
Sb 4.1    0.131  
Si 4.85 0.083 608
Sn 4.42 0.110 692
Sr 2.7    0.221  
Ti 4.33 0.116 628
V 4.3   0.118 648
W 4.55 0.102  
Zn 4.33 0.116 640
Zr 4.05 0.134 664

The DC bias voltage was measured using the purest materials available, at constant power (40 W) and pressure (700 Pa) using a 4 mm anode on a JY 5000 RF instrument. The actual plasma power may be a little lower then the 40 W delivered by the rf power genertor.

The figure displayed above shows the  DC bias voltage measured on near pure metals as a function of their calculated secondary electron yield, g

The results show the expected trend: DC bias voltage decreases with increasing secondary electron yield. The large scatter of the exerimental data is due to several factars. The secondary electron emission yield is not the only factor influencing the dc-bias voltage. Source cleanliness, in particular the presences of traces gases in the plasma carrier gas, do influence the dc-bias voltage. The secondary electron emission yiels also varies strongly with the state of the surface of the sputtered species.


References
 (1) R A Baragiola, E V Alonso, J Ferron and A Oliva Florio, Surf. Sci. 90 (1979) 915.
 (2) L M Kishinevsky, Radiation Effects 19  (1973) 23.
 (3) L Ohannessian, PhD Thesis, Universite Claude Bernard, Lyon, France (1986).
 (4) H Hocquaux, in R K Marcus (Ed), Glow Discharge Spectroscopies, Plenum, New York (1993), p 351.
 (5) A Bogaerts, private communication (2000).
 (6) R A Baragiola, private communication (2000).
 (7) CRC Handbook of Chemistry and Physics, CRC Press, Boca Raton (1990), pp 12-84 to 12-87.
 (8) E A Brandes and G B Brook (Eds), Smithells Metals Reference Book, Butterworth-Heinemann (1998), p 18-4.
 (9) A.Bengtson, Th. Nelis, Anal. Bioanl. Chem, 2006,

First published on the web: 14 June 2000.

Authors: Richard Payling and Thomas Nelis

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