Simple derivation of the formula for Sommerfeld supply density used in electron-emission physics and limitations on its use

Journal of Vacuum Science and Technology B

Volumn 28, Issue 6, 2010, Pages 1326-1329

  Forbes, Richard G ^a  

^a UNIVERSITY OF SURREY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRONS;

ELECTRON CURRENTS; ELECTRON MASS; ENERGY COMPONENTS; ENERGY SPACES; FREE ELECTRON; FREE ELECTRON MODELS; PER UNIT; POSITIVE CHARGES; SIMPLE DERIVATIONS; TWO-DIMENSIONAL;

ELECTRON EMISSION;

EID: 78650131984     PISSN: 21662746     EISSN: 21662754     Source Type: Journal    
DOI: 10.1116/1.3501118     Document Type: Article

References (10)

1. A. Sommerfeld and H. Bethe, in Handbuch der Physik, edited by, H. Geiger, and, K. Scheel, (Springer, Berlin, 1933), Vol. 24/2, p. 333.
2. R. G. Forbes, Surf. Interface Anal. SIANDQ 0142-2421 36, 395 (2004). 10.1002/sia.1900
3. A. Sommerfeld, Thermodynamics and Statistical Mechanics (Academic, New York, 1964), p. 285, see Eq. (18).
4. P. W. Hawkes and E. Kasper, Principles of Electron Optics (Academic, London, 1996), Vol. 2, p. 922, see Eq. (44.12b).
5. J. W. Gadzuk and E. W. Plummer, Rev. Mod. Phys. RMPHAT 0034-6861 45, 487 (1973). 10.1103/RevModPhys.45.487
6. A. Modinos, Field, Thermionic and Secondary Emission Spectroscopy (Plenum, New York, 1984).
7. A. Modinos, Solid-State Electron. SSELA5 0038-1101 45, 809 (2001). 10.1016/S0038-1101(00)00218-5 (Pubitemid 32698502)
8. X. H. Qin, W. L. Wang, N. S. Xu, Z. B. Li, and R. G. Forbes, Proc. R. Soc. London, Ser. A PRLAAZ 0950-1207 (2010, in press).
9. R. D. Young, Phys. Rev. PHRVAO 0031-899X 113, 110 (1959). 10.1103/PhysRev.113.110
10. R. G. Forbes, J. Vac. Sci. Technol. B JVTBD9 1071-1023 28, C2A43 (2010). 10.1116/1.3322736