Lewis structures of compounds Lewis structures are a convenient way of showing covalent bonds in molecules or ions of non-transition elements • The most important consideration is that the atoms attain a noble gas configuration • The trickiest part is determining the arrangement of the atoms in the molecule or ion -- usually, the single atom in the formula (e.g., C in CO2) will be the central atom • The Lewis structure does not give you information about the shape of the molecule/ion (more about this later) Rules for writing Lewis structures 1. Determine the number of valence electrons for all atoms in the molecule or ion • for ions, add one valence electron for each negative charge or subtract one valence electron for each positive charge on the ion 2. Write the skeletal arrangement of the atoms and connect them with a single covalent bond (two dots or one dash) • hydrogen and the halogens typically form only one covalent bond • oxygen normally forms two covalent bonds (one single bond or two double bonds) • nitrogen normally forms three covalent bonds (combination of single, double and/or triple bonds) • carbon normally forms four covalent bonds (combination of single, double and/or triple bonds) Rules for writing Lewis structures 3. Subtract two electrons for each single bond used in Step 2 from the total number of valence electrons • this gives the number of remaining electrons available for completing the structure 4. Distribute remaining electrons as pairs of electrons (pairs of dots) around each atom to give each atom a noble gas configuration (8 electrons) • hydrogen needs only 2 electrons for a noble gas configuration 5. If there are not enough electrons to give each atom a noble gas configuration, change single bonds to double or triple bonds by shifting non-bonding pairs of electrons as needed Lewis structure of water Step 2. Write the skeletal arrangement of the atoms and connect them with a single covalent bond (two dots or one dash) Lewis structures of compounds Example: Write the Lewis structure for water (H2O) Step 1. Determine the number of valence electrons for all atoms in the molecule or ion H: 1s1 -- one valence electron O: [He] 2s22p4 -- six valence electrons 2H + O total of 8 valence electrons Lewis structure of water Step 3. Subtract two electrons for each single bond used in Step 2 from the total number of valence electrons 4 electrons H:O:H H:O:H Place two dots between the hydrogen and oxygen atoms to form the covalent bonds 8 total valence electrons - 4 electrons = 4 electrons left to complete the structure Lewis structure of water Step 4. Distribute remaining electrons as electron pairs (pairs of dots) around each atom to give each atom a noble gas configuration hydrogen atoms have noble gas configuration (2 electrons each) : : H:O:H Lewis structures of compounds Example: Write the Lewis structure for carbon tetrachloride (CCl4) Step 1. Determine the number of valence electrons for all atoms in the molecule or ion C: [He] 2s22p2 -- four valence electron Cl: [Ne] 3s23p5 -- seven valence electrons oxygen atom has noble gas configuration (8 electrons) Lewis structure of carbon tetrachloride Step 2. Write the skeletal arrangement of the atoms and connect them with a single covalent bond (two dots or one dash) C + 4 Cl total of 32 valence electrons Lewis structure of carbon tetrachloride Step 3. Subtract two electrons for each single bond used in Step 2 from the total number of valence electrons 8 electrons Cl Cl:C :Cl Cl Place two dots between the carbon and chlorine atoms to form the covalent bonds Lewis structure of carbon tetrachloride Step 4. Distribute remaining electrons as electron pairs (pairs of dots) around each atom to give each atom a noble gas configuration : : : : : : : : :Cl: Cl:C :Cl :Cl: : : carbon atom has noble gas configuration (8 electrons) chlorine atoms have noble gas configuration (8 electrons each) : : : : Cl Cl:C:Cl Cl 32 total valence electrons - 8 electrons = 24 electrons left to complete the structure Covalent bonds: single, double, and triple In a single bond • one pair of electrons is shared. In a double bond • two pairs of electrons are shared In a triple bond • three pairs of electrons are shared Write a Lewis structure for CO2 Step 1. Determine the total number of valence electrons for the atoms in the compound Write a Lewis structure for CO2 Step 2. The two O atoms are bonded to a central C atom. Write the skeletal structure and place two electrons between the C and each oxygen. C: 4 valence electrons O: 6 valence electrons O:C:O 4 + ( 2 x 6 ) = 16 total valence electrons Step 4. Distribute the 12 electrons (6 pairs) around the carbon and oxygen atoms. Three possibilities exist. : : : : O:C:O :O:C:O: II :O:C:O: 4 electrons 16 valence electrons - 4 electrons = 12 electrons left Write a Lewis structure for CO2 Step 5. Remove one pair of unbonded electrons from each O atom in structure I and place one pair between each O and the C atom forming two double bonds. 6 6 6 6 electrons electrons electronselectrons Write a Lewis structure for CO2 Step 5. Remove one pair of unbonded electrons from each O atom in Structure I and place one pair between each O and the C atom forming two double bonds. : : : : :O:C:O Many of the atoms in these structures do not have eight electrons around them. :O:C:O: Each atom now has 8 electrons around it : : O::C::O : : O::C::O : : Structure I III : : : :: I double bond : : Step 3. Subtract the four electrons used in Step 2 from 16 (the total number of valence electrons) to obtain 12 electrons yet to be used. Write a Lewis structure for CO2 : : : : Write a Lewis structure for CO2 double bond Carbon is sharing 4 electron pairs Examples of multiple covalent bonds O O O C O carbon dioxide ( CO2 ) H H C C diatomic oxygen ( O2 ) H Complex Lewis structures ( resonance structures ) There are some molecules and polyatomic ions that can not be represented by a single Lewis structure N N H diatomic nitrogen ( N2 ) ethene ( C 2H 4 ) Write a Lewis structure for nitrate ( NO3- ) Write a Lewis structure for nitrate ( NO3- ) Step 1. Determine the total number of valence electrons Step 2. The three O atoms are bonded to a central N atom. Write the skeletal structure and place two electrons between each pair of atoms O O:N:O : • 5 from the nitrogen atom • 6 from each O atom • 1 from the –1 charge The total number of valence electrons is 24 Since the extra electron present results in nitrate having a –1 charge, the ion is enclosed in brackets with a – charge. Write a Lewis structure for nitrate ( NO3- ) Write a Lewis structure for nitrate ( NO3- ) Step 3. Subtract the 6 electrons used in Step 2 from 24, the total number of valence electrons, to obtain 18 electrons yet to be placed. Step 4. Distribute the 18 electrons around the N and O atoms :O :O:N:O: : : : : : : : : O : O N:O - electron deficient Write a Lewis structure for nitrate ( NO3- ) Write a Lewis structure for nitrate ( NO3- ) Step 5. One pair of electrons is still needed to give all the N and O atoms a noble gas structure Step 5. One pair of electrons is still needed to give all the N and O atoms a noble gas structure • move the unbonded pair of electrons from the N atom and place it between the N and the electrondeficient O atom, making a double bond - : : :: : : : :O :O:N:O: Write a Lewis structure for nitrate ( NO3- ) Step 5. One pair of electrons is still needed to give all the N and O atoms a noble gas structure Step 5. There are three possible Lewis structures : :O N O :O - :O N O: :O: - O N O: A molecule or ion that shows multiple correct Lewis structures exhibits resonance N O: : : : : :O - : : : : : : - :O: : : : : : : • move the unbonded pair of electrons from the N atom and place it between the N and the electrondeficient O atom, making a double bond :O - Write a Lewis structure for nitrate ( NO3- ) : : : : : : : : : : : : : :O :O:N:O: • move the unbonded pair of electrons from the N atom and place it between the N and the electrondeficient O atom, making a double bond • each Lewis structure is called a resonance structure Write a Lewis structure for nitrate ( NO3- ) N O: O N O: Spectroscopy shows that all three of the N–O bonds in the nitrate ion have identical lengths • the N–O bonds are intermediate between single bonds and double bonds - :O: - :O N O :O - :O N O: :O: : : : : : : :O :O: : : : : : : N O - : : : : : : :O :O : : : : : : - : : : : : : :O: Step 5. There are three possible Lewis structures : : : : : : Step 5. There are three possible Lewis structures Write a Lewis structure for nitrate ( NO3- ) O N O: The actual structure of the nitrate ion is a blend of all three individual resonance structures • this is referred to as a resonance hybrid - Compounds containing polyatomic ions A polyatomic ion is a stable group of atoms that has either a positive or negative charge and behaves as a single unit in many chemical reactions nitrate ion sodium ion Na+ the polyatomic ion behaves as a unit because its atoms are held together by covalent bonds Na Sodium nitrate has both ionic and covalent bonds Ionic bonds exist between the sodium ions and the nitrate ions Na + :O :O N O: Covalent bonds exist between the atoms of nitrogen and oxygen atoms within the nitrate ion ionic bond - :O - Sodium nitrate has both ionic and covalent bonds : : : : : : ionic bond + :O : : : : : : Example: Nitrate (NO3-) Na N O: + :O - : : : : : : • Sodium nitrate ( NaNO3 ) comprises sodium ions and nitrate ions in a 1:1 ratio :O N O: covalent bond When sodium nitrate is dissolved in water, the ionic bond breaks The sodium ions and nitrate ions separate from each other forming separate sodium and nitrate ions - O: N O: N :O : :O :: + : :O : Na : + :O : : :: : : Na - The nitrate ion, which is held together by covalent bonds, remains as a unit covalent bond covalent bond Exceptions to the octet rule Octet Rule Atoms tend to gain, lose, or share elections until they attain a full valence shell • 2 valence electrons for the first principal energy level • 8 valence electrons for all other principal energy levels The octet rule is a useful guideline for describing bonding, but there are many exceptions: • Molecules and polyatomic ions containing an odd number of electrons • Molecules and polyatomic ions in which an atom has less than an octet of valence electrons Molecules and polyatomic ions in which an atom has more than an octet of valence electrons • Exceptions to the octet rule: Molecules and polyatomic ions containing an odd number of electrons Exceptions to the octet rule: Molecules/polyatomic ions in which an atom has less than an octet of electrons In most molecules and polyatomic ions, the total number of valence electrons is even This is relatively rare -- it is most commonly encountered with compounds of boron and beryllium • all electrons are paired up Example: BF3 But there are some exceptions -- for molecules/ions with an odd number of valence electrons, it is not possible to pair up all electrons or attain a full octet around each atom Example: NO F N O These are the two most important Lewis structures for NO Cl Cl F Cl Phosphorous atom has more than 8 electrons around it Cl H C N O Hydrogen Carbon Nitrogen Oxygen 1 covalent bond 4 covalent bonds 3 covalent bonds 1 lone pair 2 covalent bonds 2 lone pairs Cl Br Halogens: 1 covalent bonds, 3 lone pairs I F F F F B Group 8A H 1 bond He Group 3A Group 4A Group 5A Group 6A Group 7A 0 bonds B C N O F Ne 3 bonds 4 bonds 3 bonds 2 bonds 1 bond 0 bonds The octet rule is a useful guideline, but there are numerous exceptions P B Group 1A 5 + ( 5 x 7 ) = 40 valence electrons Hydrogen, Carbon, Nitrogen, Oxygen, and Halogen Atoms Usually Maintain Consistent Bonding Patterns F F Numbers of covalent bonds typically formed by main group elements to achieve noble gas configuration Elements in Period 3 and beyond can expand their valence shells to accommodate more than 8 electrons • this is related to the d orbitals available starting with principal energy level n = 3 Cl B F B F This structure is most favorable even though boron does not have a full octet Exceptions to the octet rule: Molecules/polyatomic ions in which an atom has more than an octet of electrons Example: PCl5 F F 5 + 6 = 11 valence electrons N O F 3 + ( 3 x 7 ) = 24 valence electrons Si P S Cl Ar 4 bonds 3 bonds (5) 2 bonds (4, 6) 1 bond (3, 5) 0 bonds • boron forms 3 covalent bonds and ends up with only 6 valence electrons Br Kr 1 bond (3, 5) 0 bonds • elements in the third period and below can form additional covalent bonds (this is because they have vacant d orbitals that can hold additional bonding electrons) I Xe 1 bond (3, 5, 7) 0 bonds A quick note about formal charge When drawing Lewis structures for a molecule or polyatomic ion, a formal charge can be assigned to each atom in the structure The formal charge of an atom is defined as the charge that the atom would have if all of the atoms in the molecule/ion had the same electronegativity -- i.e., each bonding electron pair shared equally between the two bonded atoms Specific rules are followed to assign electrons to each atom in the structure -- the number of assigned electrons is compared with the number of valence electrons in the isolated atom to determine formal charge A quick note about formal charge Formal charge is used as an accounting device to determine which Lewis structure for a molecule/ion is most favorable when there exist several different structures that satisfy the octet rule -- most favorable structures contain atoms with formal charges closest to zero -- most favorable structures have negative formal charges assigned to the most electronegative atoms Due to time constraints, we won’t be covering the topic of formal charge in any detail -- but if you are planning on taking further chemistry courses, read through the section in Chapter 8 (Brown text) dealing with formal charge and familiarize yourself with the concept