
author
1825–1898
Best known for finding the simple formula behind the visible lines of hydrogen, this Swiss mathematician helped open the door to modern atomic physics. He spent most of his life teaching and studying in Basel, where patient work and a love of patterns led to a discovery that still bears his name.

by Johann Jakob Balmer, Theodor Meyer-Merian
Born in Lausen, Switzerland, on May 1, 1825, Johann Jakob Balmer studied mathematics at the University of Basel and later continued in Berlin and Karlsruhe. He earned a doctorate in Basel and built his career as a teacher, known for careful thinking and a lasting interest in geometry.
Balmer taught for many years at a girls' school in Basel and also lectured at the University of Basel. Although he worked broadly in mathematics, he became famous for a result published in 1885: a numerical formula that described the visible spectral lines of hydrogen. That pattern, now called the Balmer series, became an important step toward the development of atomic theory.
He died in Basel on March 12, 1898. Today he is remembered as a quiet, exacting scholar whose search for order in numbers helped shape the future of physics.