Johann Jakob Balmer
|Johann Jakob Balmer|
1 May 1825|
12 March 1898 (aged 72)|
|Alma mater||University of Basel|
Balmer was born in Lausen, Switzerland, the son of a Chief Justice also named Johann Jakob Balmer. His mother was Elizabeth Rolle Balmer, and he was the oldest son. During his schooling he excelled in mathematics, and so decided to focus on that field when he attended university.
He studied at the University of Karlsruhe and the University of Berlin, then completed his Ph.D. from the University of Basel in 1849 with a dissertation on the cycloid. Johann then spent his entire life in Basel, where he taught at a school for girls. He also lectured at the University of Basel. In 1868 he married Christine Pauline Rinck at the age of 43. The couple had a total of six children.
Despite being a mathematician, Balmer is best remembered for his work on spectral series. His major contribution (made at the age of sixty, in 1885) was an empirical formula for the visible spectral lines of the hydrogen atom, the study of which he took up at the suggestion of Eduard Hagenbach also of Basel. Using Ångström's measurements of the hydrogen lines, he arrived at a formula for computing the wavelength as follows:
for n = 2, h = 3.6456×10−7 m, and m = 3, 4, 5, 6, and so forth.
In his 1885 notice, he referred to h (now known as the Balmer constant) as the "fundamental number of hydrogen." Balmer then used this formula to predict the wavelength for m = 7 and Hagenbach informed him that Ångström had observed a line with wavelength 397 nm. Two of his colleagues, Hermann Wilhelm Vogel and William Huggins, were able to confirm the existence of other lines of the series in the spectrum of hydrogen in white stars.
with being the Rydberg constant for hydrogen, for Balmer's formula, and .
Johann Balmer died in Basel.
- Balmer lines and Balmer series are named after him.
- The crater Balmer on the Moon is named after him.
- Minor planet 12755 Balmer is named after him.
- O'Connor, John J.; Robertson, Edmund F., "Johann Jakob Balmer", MacTutor History of Mathematics archive, University of St Andrews.