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Haber, Fritz, 1868-1934, German chemist. He was a professor of physical chemistry at Karlsruhe and became director of the Kaiser Wilhelm Institute at Dahlem in 1911. During World War I he directed Germany's chemical warfare activities, which included the introduction of poison gas; following the Nazi rise to power in 1933, however, he resigned his posts and went into exile. Haber won the 1918 Nobel Prize in Chemistry for his discovery of the Haber process for synthesizing ammonia from its elements. He also did studies of autoxidation and pyrolysis.

See biographies by M. H. Goran (1967) and D. Charles (2005).

The Columbia Electronic Encyclopedia Copyright © 2004.

Licensed from Columbia University Press

Licensed from Columbia University Press

Haber's rule is a mathematical statement of the relationship between the concentration of a poisonous gas and how long the gas must be breathed to produce death, or other toxic effect. The rule was formulated by German chemist Fritz Haber in the early 1900s.## See also

## References

Haber's rule states that, for a given poisonous gas, $Ctimes\; t\; =\; k$, where $C$ is the concentration of the gas (mass per unit volume), $t$ is the amount of time necessary to breathe the gas, in order to produce a given toxic effect, and $k$ is a constant, depending on both the gas and the effect. Thus, the rule states that doubling the concentration will halve the time, for example.

Haber's rule is an approximation, useful with certain inhaled poisons under certain conditions, and Haber himself acknowledged that it was not always applicable. It is very convenient, however, because its relationship between $C$ and $t$ appears as a straight line in a log-log plot. In 1940, statistician C. I. Bliss published a study (Bliss, 1940) of toxicity in insecticides in which he proposed more complex models, for example, expressing the relationship between $C$ and $t$ as two straight line segments in a log-log plot. However, because of its simplicity, Haber's rule continued to be widely used. Recently, some researchers have argued (Miller et al., 2000) that it is time to move beyond the simple relationship expressed by Haber's rule and to make regular use of more sophisticated models.

- C. I. Bliss (1940). "The relationship between exposure, time, concentration and toxicity in experiments on insecticides".
*Annals of the Entomological Society of America*33 721–766. - F. J. Miller, P. M. Schlosser, and D. B. Janszen "Haber's rule: a special case in a family of curves relating concentration and duration of exposure to a fixed level of response for a given endpoint".
*Toxicology*149, no. 1 22–34.

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