Bohr also introduced the quantity , now known as the reduced Planck constant, as the quantum of angular momentum. At first, Bohr thought that this was the angular momentum of each electron in an atom: this proved incorrect and, despite developments by Sommerfeld and others, an accurate description of the electron angular momentum proved beyond the Bohr model. The correct quantization rules for electrons – in which the energy reduces to the Bohr model equation in the case of the hydrogen atom – were given by Heisenberg's matrix mechanics in 1925 and the Schrödinger wave equation in 1926: the reduced Planck constant remains the fundamental quantum of angular momentum. In modern terms, if J is the total angular momentum of a system with rotational invariance, and Jz the angular momentum measured along any given direction, these quantities can only take on the values COUNT 9
QSN1 Who introduced the reduced Planck constant? ANS1 Bohr QSN2 What is the reduced Planck constant also known as? ANS2 the quantity QSN3 Who helped to give the correct quantization rules for electrons in 1925? ANS3 Heisenberg QSN4 Who helped to give the correct quantization rules for electrons in 1926? ANS4 Schrödinger QSN5 According to Heisenberg and Schrödinger, the reduced Planck constant remains what? ANS5 the fundamental quantum of angular momentum QSN6 Bohr introduced what value as the quantum of angular momentum? ANS6 the reduced Planck constant QSN7 What incorrect belief did Bohr hold about the reduced Planck constant? ANS7 Bohr thought that this was the angular momentum of each electron in an atom QSN8 What scientist used matrix mechanics to bring electron behavior in line with the Bohr model? ANS8 Heisenberg QSN9 When was the Schrödinger wave equation proposed? ANS9 1926