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Electron Behavior and Periodic Properties of Elements

Electron Configurations

Electrons have specific arrangements in atoms, called the electron configuration. Electrons fill orbitals, the area of an atom in which an electron has the greatest probability of being located, in order of increasing energy, and electrons must fill all orbitals in a subshell singly before doubly occupying any other orbital with the same energy.

Every atom has an electron configuration, which is the orbital filling of electrons in an atom based on their quantum numbers in increasing energies. A quantum number is one of four numbers, nn, \ell, mm, and ss, that together describe the orbital state of subatomic electrons. The shell in which the electron is found is described by nn. The subshell an electron is found in is described by =0\ell=0 for the s subshell, =1\ell=1 for the p subshell, =2\ell=2 for the d subshell, and =3\ell=3 for the f subshell. The mm quantum number gives the orientation of the electron. There are 2+12\ell+1 possible values for any mm. If \ell is equal to 1, then mm can be –1, 0, or 1. The spin of the electron, ss, is either +1/2+1\rm{/}2 or 1/2-1\rm{/}2. Hydrogen has one electron, and the quantum numbers of that electron are n=1n=1, =0\ell=0, m=0m=0, and s=+1/2s=+1\rm{/}2.

When writing the notation for an element, the sequence of subshells is written, with the number of electrons in each subshell identified with a superscript. Thus, for hydrogen, the notation is 1s1. This notation is given in accordance with the Aufbau principle, which states that electrons fill orbitals in order of increasing energy. This order is given as follows:
1s<2s<2p<3s<3p<4s<3d<4p<5s<4d<5p<6s<4f<5d<6p<7s<5f<6d<7p\begin{gathered} 1s\lt2s\lt2p\lt3s\lt3p\lt4s\lt3d\lt4p\lt5s\lt4d\\\lt5p\lt6s\lt4f\lt5d\lt6p\lt7s\lt5f\lt6d\lt7p\end{gathered}
This order can be visualized in a grid according to Madelung's rule.

Madelung's Rule

To visualize the order in which electrons fill subshells, follow the increasing energy down each arrow. Electrons fill subshells in this order of increasing energy, according to the Aufbau principle. The quantum number nn represents what shell the electron is in, and s, p, d, and f represent the subshell, quantum number \ell.
Thus, the electron configuration notation for bromine, which has 35 electrons, is 1s22s22p63s23p64s23d104p5. Scientists often use an abbreviated form called the noble gas notation. This notation indicates in brackets the highest noble gas that fills the same subshells as the given element, followed by additional electrons above that noble gas. Noble gases have filled orbitals, so that part of the abbreviated form represents filled orbitals. Noble gas notation for bromine is thus [Ar]4s23d104p5. Argon is the closest noble gas before bromine on the periodic table. A degenerate orbital is one of two or more orbitals with the same energy. When filling degenerate orbitals, electrons must first singly occupy all the empty orbitals in the subshell before pairing within the same orbital, a process known as Hund's rule. Thus, electrons singly fill orbitals before they pair. The filling of orbitals can be denoted using an electron box diagram that shows the spin (up or down) of each electron in each orbital. In the orbital box diagram for oxygen, the electrons in the 2p degenerate orbital fill out as singletons before doubling up with an electron of opposite spin. The direction of the electron's spin is denoted by the direction of the arrows drawn in the orbital box diagram.
According to Hund's rule, when filling orbitals of the same energy, electrons occupy empty orbitals before doubly occupying the same orbital.