Did you know? · Science & Medicine

Max Born founded the physics of vibrating crystals

In 1912 Max Born and Theodore von Kármán founded lattice dynamics, explaining how atomic vibrations set a solid's properties; Born later wrote the classic text on it.

Max Born
Max Born · 1882–1970
Person
Max Born
Lived
1882–1970
Field
Quantum mechanics
From
German-British

The story

Max Born was born in 1882 in Breslau, now Wrocław in Poland, into a family of Jewish descent; his father Gustav was a professor of embryology. Trained in mathematics at Göttingen under David Hilbert and Hermann Minkowski, he became a Privatdozent there in 1909. At his boarding house he shared lodgings with the Hungarian-born engineer and physicist Theodore von Kármán, and the two young lecturers became collaborators.

Their question was simple to state. How do the atoms in a solid crystal move, and how does that movement determine how the material stores heat? In 1912, newly on the Göttingen teaching staff, Born began a research project with von Kármán to find out.

They treated a crystal as a regular lattice of atoms, each linked to its neighbours, and identified its degrees of freedom with the normal modes of vibration of the whole body. Using three-dimensional Fourier analysis and periodic boundary conditions, a mathematical device now known as the Born–von Kármán boundary condition, they could calculate how a solid's heat capacity changes with temperature. By the end of 1913 Born had published three papers with von Kármán on the subject, and the work laid the foundations of lattice dynamics.

Born expanded the research into a book, Dynamik der Kristallgitter, published in 1915. Arnold Sommerfeld then asked him to write a major article on it for the fifth volume of the Mathematical Encyclopedia, finished in 1922 and later revised as Atomic Theory of Solid States. Born even used matrices in this crystal work in 1921, experience that helped him a few years later when he recognised the mathematics of Heisenberg's quantum mechanics.

Crystals remained a lifelong interest. In exile at Edinburgh, Born wrote with the Chinese physicist Kun Huang the Dynamical Theory of Crystal Lattices, published by Oxford's Clarendon Press in 1954, which became a classic of solid-state physics. Enrico Fermi and James Franck nominated him for the Nobel Prize in 1947 and 1948 for his work on crystal lattices.

Lattice dynamics is now a cornerstone of solid-state physics. The collective vibrations Born and von Kármán described help explain how materials store and carry heat and sound, and their methods remain part of how physicists model solids, from semiconductors to new materials.

Why it matters

Lattice dynamics underpins the modern understanding of heat, sound and electrical behaviour in solids, from semiconductors to new materials.

About Max Born

Physicist who co-founded quantum mechanics and gave the wave function its probability meaning; dismissed from Göttingen by the Nazis in 1933, he won the Nobel Prize in exile in 1954.

Read the full profile
Max Born
1882–1970 · Quantum mechanics
View profile →

More about Max Born

Sources

Another act of tikkun olam. This is part of tikkun olam, the Jewish idea of repairing the world, and every one of us can add to it.

More in Science & Medicine

On kindness & the treatment of others
“A friend is devoted at all times; a brother is born to share adversity.”
Proverbs 17:17