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Townsend (unit)

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(March 2024)

Thetownsend (symbol Td) is a physical unit of the reduced electric field (ratioE/N), whereE{\displaystyle E} iselectric field andN{\displaystyle N} is concentration of neutral particles.

It is named afterJohn Sealy Townsend, who conducted early research into gas ionisation.

Definition

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It is defined by the relation1 Td=1021 Vm2=1017 Vcm2.{\displaystyle 1\ {\text{Td}}=10^{-21}\ {\text{V}}\cdot {\text{m}}^{2}=10^{-17}\ {\text{V}}\cdot {\text{cm}}^{2}.}

For example, an electric field ofE=2.5104 V/m{\displaystyle E=2.5\cdot 10^{4}\ {\text{V}}/{\text{m}}}in a medium with the density of an ideal gas at 1 atm, theLoschmidt constantn0=2.68678111025 m3{\displaystyle n_{0}=2.6867811\cdot 10^{25}\ {\text{m}}^{-3}}givesE/n01021 Vm2,{\displaystyle E/n_{0}\approx 10^{-21}\ {\text{V}}\cdot {\text{m}}^{2},}which corresponds to 1 Td.

Uses

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This unit is important in gas-discharge physics, where it serves asscaling parameter because the mean energy of electrons (and therefore many other properties of discharge) is typically a function ofE/N{\displaystyle E/N} over broad range ofE{\displaystyle E} andN{\displaystyle N}.

The concentrationN{\displaystyle N}, which is inideal gas simply related to pressure and temperature, controls themean free path andcollision frequency. The electric fieldE{\displaystyle E} governs the energy gained between two successive collisions.

Reduced electric field being a scaling factor effectively means that increasing the electric field intensityE by some factorq has the same consequences as lowering gas densityN by factorq.

See also

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References

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  • A. Banković; S. Dujko; R. D. White; J. P. Marler; S. J. Buckman; S. Marjanović; G. Malović; G. García; Z. Lj. Petrović (2012). "Positron transport in water vapour".New J. Phys.14: 035003.doi:10.1088/1367-2630/14/3/035003.hdl:1885/61498.
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