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单词 richardson equation
释义

Richardson equationn.

Brit. /ˈrɪtʃəds(ə)n ᵻˌkweɪʒn/, U.S. /ˈrɪtʃərds(ə)n əˌkweɪʒ(ə)n/, /ˈrɪtʃərds(ə)n iˌkweɪʒ(ə)n/
Forms:

α. 1900s– Richardson's equation.

β. 1900s– Richardson equation.

Origin: From a proper name, combined with an English element. Etymons: proper name Richardson , equation n.
Etymology: < the name of Sir Owen W. Richardson (1879–1959), English physicist + equation n. (see note at definition).
Physics.
An equation for the maximum current density of electrons emitted from a hot metal surface in terms of the temperature and work function of the surface.Originally formulated by Richardson 1903 ( Philos. Trans. (Royal Soc.) A. 201 497–549) in the form I = A1T½exp(−b/T), where A is a constant, and b is the work function divided by Rydberg's constant R. He later amended it ( O. W. Richardson Emission Electr. from Hot Bodies (1916) ii. 34) to I = A2T2exp(−ϕ0/kT). The original formulation was amended by Saul Dushman (quot. 1923), in consequence of which the equation is also called the Richardson–Dushman equation n.
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the world > matter > physics > electromagnetic radiation > electronics > [noun] > graphs, functions, equations, etc.
static characteristic1900
Richardson equation1913
time constant1943
step function1946
1911 Nature 21 Dec. 258/1 The ionisation current from a metal filament when heated above 2400° absolute ceases to be represented by Prof. Richardson's equation.]
1913 Physical Rev. 2 454 This indicates that these results can be expressed by Richardson's equation.
1923 S. Dushman in Physical Rev. 21 623 The equation assumes the simple form I = AT2εb0/T... Its chief advantage over the usual Richardson equation, I = A1T½εb/T,..is that A is theoretically a universal constant.
1939 H. J. Reich Theory & Applic. Electron Tubes ii. 17 Richardson's equation holds only for the saturation current.
1975 D. G. Fink Electronics Engineers' Handbk. xxvii. 12 If VC < ϕe,..the saturation current density js is as given by Richardson's equation.
2000 U. L. Rohde & D. P. Newkirk RF/Microwave Circuit Design for Wireless Applic. ii. 129 The current–voltage relationship for a barrier diode is described by the Richardson equation.
This entry has been updated (OED Third Edition, June 2010; most recently modified version published online March 2022).
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n.1913
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