TY - JOUR
T1 - Further studies in the emission of electrons from cold metals
JF - Proceedings of the Royal Society of London. Series A
JO - Proc R Soc Lond A Math Phys Sci
SP - 699
LP - 723
M3 - 10.1098/rspa.1929.0147
VL - 124
IS - 795
AU -
AU -
AU -
Y1 - 1929/07/01
UR - http://rspa.royalsocietypublishing.org/content/124/795/699.abstract
N2 - Fowler and Nordheimj- and Oppenheimerj have already independently studied the theory of the emission of electrons from cold metals under the effect of an intense electric field, and have obtained results in good qualitative agreement with experiment. The formula for this “ auto-electronic ” current density, —I, obtained by the former authors is I = ε/2πh μ1/2 / (X + μ) X1/2 F2 e-4/3kX3/2 / F (1) at ordinary temperatures. In this formula k2 = 8π2m/h2; μ is the parameter of the metallic electron distribution in the Fermi-Dirac statistics; X is the thermionic work function for the metal; — ε is the charge on the electron; h is Planck’s constant and — F is the derivative of the potential energy of the electron along the outward normal at the cathode surface; I, F and ε are then all positive. When the unit of energy is the electron-volt and the unit of current density is amperes per square centimetre this reduces to I = 6.2 x 10-6 μ1/2 / (X + μ) X1/2 F2 e-6.8 x 107X3/2 / F (2)
ER -