Werner Heisenberg developed the uncertainty principle, which states that it is impossible to precisely determine both the position and velocity of a particle at the same time. Erwin Schrodinger further developed de Broglie's wave-particle theory and derived the Schrodinger wave equation to describe hydrogen's electron as a wave. The quantum mechanical model of the atom describes electrons as existing in probabilistic atomic orbitals around the nucleus, rather than following definite paths as in Bohr's model, with the probability of finding an electron in a given region determined by the wave function.