# Degree of ionization

The degree of ionization (also known as ionization yield in the literature) refers to the proportion of neutral particles, such as those in a gas or aqueous solution, that are ionized. For electrolytes, it could be understood as a capacity of acid/base to ionize itself. A low degree of ionization is sometimes called partially ionized (also weakly ionized), and a high degree of ionization as fully ionized. However, the term fully ionized is also used to describe an ion that has no electrons left.
Ionization refers to the process whereby an atom or molecule loses one or several electrons from its atomic orbital, or conversely gains an additional one, from an incoming free electron (electron attachment). In both cases, the atom or molecule ceases to be a neutral particle and becomes a charge carrier. If the species has lost one or several electrons, it becomes positively charged and is called a positive ion, or cation. On the contrary, if the species has gained one or several additional electrons, it becomes negatively charged and is called a negative ion, or anion. Individual free electrons and ions in a plasma have very short lives typically inferior to the microsecond, as ionization and recombination, excitation and relaxation are collective continuous processes.

## Chemistry usage

The degree of dissociation α (also known as degree of ionization), is a way of representing the strength of an acid. It is defined as the ratio of the number of ionized molecules and the number of molecules dissolved in water. It can be represented as a decimal number or as a percentage. One can classify strong acids as those having ionization degrees above 30%, weak acids as those with α below 30%, and the rest as moderate acids, at a specified molar concentration.

## Physics usage

In plasma physics, the degree of ionization $\alpha$ refers to the proportion of neutral particles that are ionized:
    $\alpha ={\frac {n_{i}}{n_{i}+n_{n}}}$
where $n_{i}$ is the ion density and $n_{n}$ the neutral density (in particles per cubic meter). It is a dimensionless number, sometimes expressed as a percentage.
The terms fractional ionization and ionization fraction are also used to describe either the proportion of neutral particles that are ionized or the proportion of free electrons.
When referred to an atom, "fully ionized" means that there are no bound electrons left, resulting in a bare nucleus. A particular case of fully ionized gases are very hot thermonuclear plasmas, such as plasmas artificially produced in nuclear explosions or naturally formed in the Sun and all stars in the universe. Regular stars largely contain hydrogen and helium that are fully ionized into protons (H$^+$) and alpha-particles (He$^{2+}$).

## History

Ionized matter was first identified in a discharge tube (or Crookes tube), and so described by Sir William Crookes in 1879 (he called it "radiant matter"). The nature of the Crookes tube "cathode ray" matter was subsequently identified by English physicist Sir J.J. Thomson in 1897, and dubbed "plasma" by Irving Langmuir in 1928, perhaps because it reminded him of a blood plasma.

## Footnotes

* ↑ Mochizuki, Y.; Takahashi, K.; Janka, H.-Th.; Hillebrandt, W.; Diehl, R. (2008). "Titanium-44: Its effective decay rate in young supernova remnants, and its abundance in Cas A". Astronomy and Astrophysics. 346 (3): 831–842. arXiv:astro-ph/9904378.
* ↑ Chapman, Brian (25 September 1980). Glow Discharge Processes: Sputtering and Plasma Etching. New York: John Wiley & Sons. ISBN 978-0471078289. Archived from the original on 1 October 2020. Retrieved 7 April 2018.
* ↑ Jenkins, Edward B. (21 January 2013). "THE FRACTIONAL IONIZATION OF THE WARM NEUTRAL INTERSTELLAR MEDIUM". The Astrophysical Journal. 764 (1): 25. arXiv:1301.3144. doi:10.1088/0004-637X/764/1/25.
* ↑ Caselli, P.; Walmsley, C. M.; Terzieva, R.; Herbst, Eric (20 May 1998). "The Ionization Fraction in Dense Cloud Cores". The Astrophysical Journal. 499 (1): 234–249. doi:10.1086/305624.
* ↑ Crookes presented a lecture to the British Association for the Advancement of Science, in Sheffield, on Friday, 22 August 1879 Archived 9 July 2006 at the Wayback Machine
* ↑ Announced in his evening lecture to the Royal Institution on Friday, 30 April 1897, and published in Philosophical Magazine, 44, 293
* ↑ I. Langmuir, "Oscillations in ionized gases," Proc. Natl. Acad. Sci. U.S., vol. 14, p. 628, 1928
* ↑ G. L. Rogoff, Ed., IEEE Transactions on Plasma Science, vol. 19, p. 989, Dec. 1991. See extract at "Coalition for Plasma Science - What is a plasma?". Archived from the original on 20 April 2006. Retrieved 24 May 2006.