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The lowest-energy arrangement, or ground-state electron configuration, of an atom is a list of the orbitals occupied by its electrons. We can predict this arrangement by following three rules.

RULE 1
The lowest-energy orbitals fill up first, 1s→2s→2p→3s→3p→4s→3d1s→2s→2p→3s→3p→4s→3d, according to the following graphic, a statement called the Aufbau principle. Note that the 4s orbital lies between the 3p and 3d orbitals in energy.

The orbital arrangement featuring orbitals in order 1s; 2s; 2p-3s; 3p-4s; 3d-4p-5s; 4d-5p-6s; 4f-5d-6p; 5f-6d; and 6f. Arrows denote the order in which orbitals are filled with electrons.

RULE 2
Electrons act in some ways as if they were spinning around an axis, somewhat as the earth spins. This spin can have two orientations, denoted as up (↑) and down (↓). Only two electrons can occupy an orbital, and they must have opposite spins, a statement called the Pauli exclusion principle.

RULE 3
If two or more empty orbitals of equal energy are available, one electron occupies each with spins parallel until all orbitals are half-full, a statement called Hund’s rule.

Some examples of how these rules apply are shown in Table 1.1. Hydrogen, for instance, has only one electron, which must occupy the lowest-energy orbital. Thus, hydrogen has a 1s ground-state configuration. Carbon has six electrons and the ground-state configuration 1s22s22px12py1, and so forth. Note that a superscript is used to represent the number of electrons in a particular orbital.

Table 1.1 Ground-State Electron Configurations of Some Elements

ElementAtomic numberConfiguration
Hydrogen1The electron configuration of hydrogen. A 1s orbital contains one electron.
Carbon6The electron configuration of carbon. 1s and 2p orbitals contain a pair of electrons. 2p contains two unpaired electrons and a vacant subshell.
Phosphorus15The electron configuration of phosphorus. 1s, 2s, 2p, and 3s have paired electrons in their subshells. 3p has three unpaired electrons.