# Atomic Structure and Electromagnetic Radiation

The distributions of electrons among the orbitals of an atom is the atom's electronic structure or electron configuration. Basically, the distributions can be laid out in this fashion (read from the bottom up):

```             O O O O O 6d
O O O O O O O 5f
```

O 7s

```    O O O 6p
O O O O O 5d
O O O O O O O 4f
```

O 6s

```    O O O 5p
O O O O O 4d
```

O 5s

```    O O O 4p
O O O O O 3d
```

O 4s

```    O O O 3p
```

O 3s

```    O O O 2p
```

O 2s

O 1s

The bottom energy level is 1--it has the lowest energy level. Each "O" represents an orbital. You can see that there is 1 orbital for a s subshell. There are 3 orbitals for a p subshell, 5 for a d, and 7 for a f. Each orbital can hold 2 electrons. Therefore, the s subshell can hold 2 electrons, the p can hold 6, the d 10, and the f 14. And thus, the first energy level can hold 2 electrons (1s -- 2), the second energy level can hold 8 electrons (2s2p -- 2 + 6), the third energy level can hold 18 electrons (3s3p3d -- 2 + 6 + 10), and the forth energy level can hold 32 (4s4p4d4f -- 2 + 6 + 10 + 14). In a neutral atom, the number of electrons equals the number of protons of the atom. When the electrons fill the orbitals, they occupy the lowest energy orbitals that are available. For example, hydrogen is atomic number 1 (has 1 proton). The one electron that it has occupies the lowest orbital, which is 1s. To write it's electron configuration, it would be 1s1. In an orbital diagram, it would simply be a circle with one up arrow in it, which represents the 1s orbital: H

Likewise, helium has 2 protons and its electron configuration would be 1s2. It's orbital diagram would by a circle with one up arrow and one down arrow. He

An the same with lithium (1s22s1) and beryllium (1s22s2) Li Be

Now things get trickier with higher orbitals. For example, Boron has an electron configuration of 1s22s22p1 and the orbital diagram looks like this: B

Now one might think that carbon, with an electron configuration of 1s22s22p2 would have an orbital diagram of this: C

But that is incorrect. It acutally has one of this: C

The rule for doing this is that when electrons are placed in a set of orbitals of equal energy, they are spread out to give as few paired electrons as possible. For carbon, that means that the two p electrons are in separate orbitals. Using that rule, we can complete the orbital diagrams for the rest of the elements of the second period. N 1s22s22p3 O 1s22s22p4 F 1s22s22p5 Ne 1s22s22p6

## The Periodic Table

The Periodic Table of the Elements is constructed and arranged so that similar chemical properties were arranged in vertical columns called groups. Because chemical properties are based on electronic structure (electron configurations) we can use the table to predict electron configurations for elements. The way that the table is structured also shows how to predict electron orbitals. On the left is a block of 2 columns, then on the right is a block of 6 columns. In the center is a block of 10 columns, and on the bottom there is a block of 14 columns. These numbers, 2, 6, 10, and 14, are the numbers of electrons that can occupy the s, p, d, and f subshells. Chemical properties of an elements are basically how different elements bond to each other to form compounds. The valence shell or the outer shell (the shell with the highest energy level) is the one mainly responsible for how an element reacts to form compounds. The core electrons are the rest of the electrons, and they are buried deep within the atom and usually do not play a role in chemical reactions. Elements with similar properties should have similar valence shell electron configurations. Going down one column of the periodic table, one can see that the valence shell electron configurations are similar. For example (valence shell in bold): Li 1s22s1 Na 1s22s22p63s1 K 1s22s22p63s23p64s1 Rb 1s22s22p63s23p63d104s24p64d105s1 Cs 1s22s22p63s23p63d104s24p64d105s25p66s1

During chemical reactions, elements like to gain or lose electrons in order to achieve the electron configuration of a noble gas. The noble gases are the elements that have filled their orbitals completely. They appear on the column on the far right side of the periodic table, and they include helium, neon, argon, krypton, xenon, and radon. The elements above like to lose their s1 electron. Because the noble gases have filled their orbitals, they are mostly inactive.

## Simplifying Electron Configurations

Sometimes, electron configurations can get very long. To simplify writing them, the core electron configuration can be substituted with the symbol of the noble gas which has the same core configuration. For example, instead of writing K 1s22s22p63s23p64s1

you can write K [Ar] 4s1

because argon has the same electron configuration as the core configuration.

## Unexpected Electron Configurations

There are a few exceptions to the rule for writing electron configurations. They happen with the d subshell (the transition elements) and the f subshell (the inner transition elements). It is because the d subshell sometimes will overlap with the proceeding s subshell, and the f subshell sometimes will overlap with the proceeding s or d subshells. For example, chromium and copper have the following configurations: Cr [Ar] 3d54s1 Cu [Ar] 3d104s1

The corresponding diagrams are: Cr [Ar] Cu [Ar]

One would expect the s subshells to be filled and have 2 electrons instead of 1. But it is preferred to have the 3d subshell exactly half-filled or completely filled, and an s electron is borrowed to complete it.

The energies of atomic orbitals also describes their shapes. The shapes are uncertain, but predictions have been made by experimentation. Another difficult task is describing where an electron is. We can think of it as a wave, and describing its exact location is impossible for us to comprehend. Instead, we can think of it as the statistical probability of the electron being found at a particular place. An electron cloud is used for showing the probability of where an electron is using a dot-density diagram. The denser the dots are in the diagram, the more probability that an electron could be found there. For example, these are dot-density diagrams for the s and p orbitals (cross sections): s orbital p orbital Electron density relates to how much of an electron's charge is packed into a given volume. In dense places on the dot-diagram, there is a high concentration of electrical charge. An s orbital's shape is spherical, but the p orbital's shape is quite different. They have two lobes extending out into three dimensional space. Since there are 3 p orbitals per energy level, the lobes extend out along the x-axis (px orbital), the y-axis (py orbital), and the z-axis (pz orbital). px orbital py orbital pz orbital The d orbital's shapes are even more complex because there are 5 orbitals in a d subshell. Four of the five d orbitals (dxy, dxz, dyz, and dx^2-y^2) have four lobes extending out perpendicular to each other. The last one, dz2, has two lobes extending out along the z-axis with a torus (doughnut-shaped ring) around the center on the x-y plane. dxy orbital dxz orbital dyz orbital dx2-y2 orbital dz2 orbital The significance of these shapes will be discussed later in this topic.