Quantum Mechanics and Atomic Orbitals (Sections)
(a) With reference to Figure, what is the relationship between the number of nodes in an s orbital and the value of the principal quantum number? (b) Identify the number of nodes; that is, identify places where the electron density is zero, in the 2px orbital; in the 3s orbital. (c) What information is obtained from the radial probability functions in Figure? (d) For the hydrogen atom, list the following orbitals in order of increasing energy: 3s, 2s, 2p, 5s, 4d
▲ Figure Radial probability functions for the 1s, 2s, and 3s orbitals of hydrogen. These plots show the probability of finding the electron as a function of distance from the nucleus. As n increases, the most likely distance at which to find the electron (the highest peak) moves farther from the nucleus.