Calculation of Current density based on Richardson-Dushman equation.

Keyword

Current density,Richardson-Dushman equation,work function,Electron Mass,Elementary Charge,Planck constant,Boltzmann constant,Dirac's constant,reduced Planck constant.

Reference

・『National Institute of Standards and Technology-Physics Laboratory』
・『仕事関数』(塚田捷)
・『電磁理論』(東京電機大学編)

Remarks

・Electron Mass(m):9.10938215*10^-31(kg).
・Elementary Charge(e):1.602176487*10^-19(c).
・Planck constant:h=6.62606896*10^-34(J・s).
・Boltzmann constant:k=1.3806504*10^-23(J/K).
・Dirac's constant:h-bar=h/(2*π)=1.054571628*10-34(J・s).
・Current density(A/m^2)=e*m*k^2/(2*π^2*(h-bar)^3)*T^2*exp(-φ/(k*T)).
・1(eV)=1.602176487*10^-19(J).

History

・2014/08/12:layout change.
・2009/08/14:Partial modification of calculation process.
・2009/03/27:Moved from www.am-consulting.co.jp to here.