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Paschen's law is an equation that gives the breakdown voltage, that is, the voltage necessary to start a discharge or electric arc, between two electrodes in a gas as a function of pressure and gap length.
This is an accepted version of this page This is the latest accepted revision, reviewed on 25 February 2025. Chemical element with atomic number 10 (Ne) This article is about the chemical element. For other uses, see Neon (disambiguation). Chemical element with atomic number 10 (Ne) Neon, 10 Ne Neon Appearance colorless gas exhibiting an orange-red glow when placed in an electric field ...
Neon has a high first ionization potential of 21.564 eV, which is only exceeded by that of helium (24.587 eV), requiring too much energy to make stable ionic compounds. Neon's polarisability of 0.395 Å 3 is the second lowest of any element (only helium's is more extreme).
K = 1.20200 × 10 −4 J·m·mol −1: d = 3.45 × 10 −11 m ν is the number of ions in the empirical formula, z + and z − are the numbers of elementary charge on the cation and anion, respectively, and r + and r − are the radii of the cation and anion, respectively, in meters.
All quantities are in Gaussian units except energy and temperature which are in electronvolts.For the sake of simplicity, a single ionic species is assumed. The ion mass is expressed in units of the proton mass, = / and the ion charge in units of the elementary charge, = / (in the case of a fully ionized atom, equals to the respective atomic number).
The equation is also known as the "three-halves-power law" or the Child–Langmuir law. Child originally derived this equation for the case of atomic ions, which have much smaller ratios of their charge to their mass. Irving Langmuir published the application to electron currents in 1913, and extended it to the case of cylindrical cathodes and ...
Atomic numbers (Z) are a special case of charge numbers, referring to the charge number of an atomic nucleus, as opposed to the net charge of an atom or ion. The charge numbers for ions (and also subatomic particles ) are written in superscript, e.g., Na + is a sodium ion with charge number positive one (an electric charge of one elementary ...
Using equation 5, the formula can be simplified into the following form where the enthalpy of formation can be directly calculated: [v ′ ′ {\displaystyle \prime \prime } Mg ] = exp ( − Δ f H / 2 k B T + Δ f S / 2 k B ) = A exp ( − Δ f H / 2 k B T ) , where A is a constant containing the entropic term.