Lewis Diagrams and The Octet Rule Lewis diagrams are a mental construct for atoms and molecules that is based on the localized electron model of bonding. These diagrams help us to envision how atoms interact with each other and how molecules interact with their environment. We know from previous work that atoms are made up of three major subatomic particles: protons, neutrons, and electrons. Largely, the chemistry and interaction between atoms is due to the electrons. So in any atom, where are the electrons, and which ones are the ones that matter? Quantum theory tells us that we can never really know the exact location of an electron, but we can use an orbital to describe where they might be. This does not change, however, the number of electrons that an atom has. Furthermore we know that any particular atom can have electrons in an unfilled and a filled shell. Those in the unfilled shell are called the valence electrons, and are responsible for the chemistry of the atom. Let us now look at the simplest atom, hydrogen. Hi In its neutral state, hydrogen has one proton and one electron. It is symbolized as shown above. Now look at helium, which has 2 electrons. He: Here we have they symbol for helium and two dots signifying two electrons. We know that these electrons are filling the 1s orbital. These are the valance electrons for those two atoms. The table below shows Lewis diagrams for a number of elements. Notice that they are only from the s and p blocks of elements. Question: Give the electron configuration and the Lewis diagram for the following atoms. In the electron configuration, circle the electrons that are the valence electrons. Example: C • C = 1s22s22p2 iC i • 1. Be 2. S 3. Cl4. Ca+ 5. Br Knowing how to draw Lewis structures for individual atoms is a useful skill. However, there is a variety of matter outside of atoms. Atoms, making use of their valence electrons, bind together to form chemical bonds, and by extension, molecules. There are two basic types of bonds: • Ionic: These bonds involved the exchange of electrons from one species to another. A positive ion is attracted to a negative ion, and a bond is formed between them. By giving up an electron, one species may be gaining stability and by gaining an electron, another species may be gaining stability. • Covalent: Instead of electrons being completely transferred from one atom to another, they are shared between atoms. As a result, two atoms are becoming more stable by sharing a pair of electrons. The interesting things about bonds, is that they don’t really exist. They aren’t something that can be pointed at the same way that an atom can. Bonds represent forces of attraction between atoms. Though some may disagree, they are really just forces of attraction, but its easier to think of them as little sticks that hold atoms together. In ionic bonds we have two oppositely charged species that are attracted to one another. In covalent bonds we have two atoms that are near enough to one another to have a shared area of electron density between them. In any sort of bond, ionic or covalent, atoms are trying to achieve a lower state of energy. In doing so, they generally achieve a noble gas configuration where their outermost shell of electrons is filled. This is referred to as the octet rule. According to the octet rule, atoms attempt to have a total of electrons in their valence shell when they undergo bonding. Ionic Sodium Chloride is made through the combination of sodium and chlorine. The electron configurations for both are Na = 1s22s22p63s1 Cl = 1s22s22p63s23p5 When neutral sodium gives an electron to neutral chlorine they both achieve noble gas configurations. Notice, in their valence shells there are a total of 8 electrons, thus an octet. Na+ = 1s22s22p6 Cl = 1s22s22p63s23p6 - The Lewis diagram for this would be i i Na :Cl: i i As it can be seen, there is a bonding pair of electrons between sodium and chlorine and three lone pairs of electrons around chlorine. Also, it can be seen that all of the valence electrons from sodium (1) and chlorine (7) are accounted for. Question: Draw the Lewis diagrams for the following ionic compounds: 1. MgO 2. LiBr 3. CaBr2 4. K2O 5. SrO Covalent compounds Not all bonds between compounds are ionic in nature. Some are covalent, that is, electrons are shared between atoms as opposed to exchanged like in ionic bonds. There are some basic rules for drawing Lewis diagrams for molecules with covalent bonds. 1. Add up all of the valence electrons for each atom in the molecule. For example CH4 = 4(carbon) + 1(hydrogen) + 1(hydrogen) + 1(hydrogen) + 1(hydrogen) = 8 2. Write out the structure. One atom will be the central atom in most cases. This is generally the atom that there is only one of. Again with CH4. H H C H H 3. Write in the bonds between each of the atoms. The sticks that represent bonds also represent a pair of electrons. This means that there is a pair of electrons being shared between carbon and hydrogen. The total number of electrons that appear in the Lewis diagram must be equal to the total number of valence electrons. H H C H H This means that there are two 4 sets of two electrons around carbon making eight. That’s an octet. Carbon has a filled shell or a filled octet. The hydrogen atoms all have two electrons around them. Hydrogen has a filled 1s orbital at this point, making it stable. As opposed to an octet like carbon, hydrogen only has to fill a duet. Question: Why does hydrogen only need to fill a duet, while an element like carbon has to fill an octet? Another example. Carbon Dioxide – CO2 1. Count up all of the valence electrons. CO2 = 4(carbon) + 6(oxygen) + 6(oxygen) = 16 2. Arrange the atoms. O C O 3. Draw in the bonds to fill octets. O C O 4. Here we can see that we have 16 electrons to work with and we only have accounted for four of them. This is not necessarily what we want, especially since none of the electrons have a filled octet. At this point we may try to draw in double bonds. O C O 5. This is getting better. Here we can see that carbon now has a filled octet, but we have only used ½ of the electrons that have been allotted. There must be another 8 electrons that can be added in there. Since carbon already has a filled octet, they must go around the oxygen atoms. 6. Take a look at what we have now. Are there eight electrons around every atom – Yes Are all valence electrons being used – Yes Is this a valid Lewis structure – Yes Question: Draw the Lewis structure for the following molecules 1. NH3 (ammonia) 2. CCl4 (Carbon tetrachloride) 3. CH2Cl2 (Methylene dichloride) 4. CH3OH (Methanol, carbon is the central atom) 5. BeH2 (Beryllium dihydride) 6. NO3- (Nitrate ion) Exceptions to The Octet Rule Earlier it was said that atoms look to have a full outer shell. In most cases this turned out to a total of eight electrons. Where did that number come from? An s shaped orbital can hold up to two electrons and a p shaped orbital can hold up to six. Adding them we get a total of eight. This is true for the first two rows of the periodic table. After that the octet rule is not necessarily followed. You didn’t think chemistry would be that easy did you? At the first energy level (n=1) there is only an s shaped orbital available for elements like hydrogen and helium. At the second energy level (n=2) there are an s and a p shaped orbital available. This applies from Li to Ne on the periodic table. At the third energy level (n=3) there are s, p, and d shaped orbitals. Therefore elements from Na to Ar have the 3s, 3p, and 3d orbitals available to them. For example sulfur has 6 valence electrons. It forms a complex with fluorine called sulfur hexafluoride (SF6) Question: Draw the Lewis diagram for sulfur hexafluoride. (Hint there will be more than 8 electrons around sulfur) Since sulfur has the d-orbitals in its energy level, extra electrons can be put there. If the diagram for SF6 has been drawn correctly, there should be 12 electrons around sulfur. Since sulfur and any element in the third energy level or higher, has the d-orbitals to expand into, they can violate the octet rule. Question: Draw the Lewis diagrams for the following atoms. 1. SO2Cl2 (sulfur is the central atom) 2. XeO4 3. NO434. ClO35. ClF5