Experiment 12 The Valence-Shell Electron-Pair Repulsion Theory (VSEPR) Models of Molecular Structure Purpose: The purpose of this experiment is to gain an understanding of the spatial arrangement of atoms in covalently bonded molecules and how the molecular geometry, along with the electronegativity of the atoms comprising the molecule (polarity), affects many of its chemical and physical properties such as reactivity, solubility, melting point, and boiling point. Background: Most chemical reactions, especially biochemical processes, depend heavily on the relationship between chemical functionality (does the reaction actually occur?) and the shapes (geometry) of the interacting molecules. Unfortunately, molecules and the spatial arrangement of the atoms in the molecule are far too small to be seen directly. Molecular shapes can be deduced experimentally using sophisticated methods such as spectroscopy. Another approach, to be used is this experiment, is to use a model to predict the shapes of molecules. Figure 1 shows three different representations of the simple molecule methanol, CH4O: a line drawing (2-demensional), and two 3-dimensional models a ball-and-stick model and a spacefilling model. Figure 1: Molecular models In todays’ lab students will study the geometry of molecules by constructing ball-and-stick models based on Lewis Dot Structures and the Valence-Shell Electron-Repulsion theory described below. Model building is an important aspect of science. Often the best way to understand a complicated, real system is to study an idealization of it. In this case simple, solid balls will be us as the central atom of the molecule and sticks will be used to represent the directional covalent bonds. This sort of model is useful, not only to help the student visualize the three dimensional shapes of simple molecules, but even to the experienced chemist approaching an unfamiliar, complex molecule. The first step in the process is to use the molecular formula of a molecule to depict a 2dimensional view of the electron configuration of the bonded and unbonded valence electrons in the molecule using Lewis structures. The electron configuration, along with an assumption regarding spatial distribution of the electron groups is then applied to the Valence-Shell Electron-Pair Repulsion Theory, which provides a mathematical means of predicting the geometric shape of the molecule as well as its polarity. Lewis Structures: A Lewis Structure (or Lewis Dot Diagram, Electron Dot Diagram) is a diagram used to visualize the bonding between atoms of a molecule and any lone pairs of electrons that may be needed in the molecule for completing the outer valence shell. A Lewis structure can be drawn for any covalently bonded molecule, as well as coordination compounds. The bonding electron pairs can be represented as either lines or dots. Double or triple bonds would show 2 or 3 lines or 2 or 3 pairs of dots. Excess electrons that form lone pairs are represented as pairs of dots and are placed next to the atoms. Writing a Lewis Structure involves the following steps: 1. Calculate the number of valence electrons for all atoms in the molecule: a. take the group number for each atom (1-8) and multiply by number of each atom b. compute the total number of valence electrons all atoms c. add the charge if molecule is an anion d. subtract the charge if molecule is an cation 2. Put the atom with the lowest group number and lowest electronegativity as the central atom 3. Arrange the other elements (ligands) around the central atom 4. Distribute electrons as pairs (dots) to the atoms surrounding the central atom to satisfy the octet rule for each atom 5. Distribute the remaining electrons as pairs (dots or lines) to the central atom 6. If the Central atom is deficient in electrons to complete its octet; borrow electron pairs from surrounding atoms to complete central atom valence electron needs, that is, form one or more double bonds (possibly triple bonds) around the central atom Example 1: Dichlorodifluoromethane (CCl2F2) 1. Choose central atom – Carbon (C) has the lowest group number and lowest electronegativity. 2. Place the other elements (ligands - Cl & F) uniformly around the central atom. 3. Determine total number of valence electrons 1 x C(4) + 2 x Cl(7) + 2 x F(7) = 32 4. Draw single bonds from central atom to each ligand and subtract 2 e for each single bond 4 x 2 = 8. 32 – 8 = 24 remaining 5. Distribute the remaining 24 electrons to the atoms (ligands) surrounding the central atom to satisfy the octet rule for each atom Example 2: Nitrate Ion (NO3-) with double bond formation and computation of net ionic charge from formal charges 1. Select central atom – Nitrogen (N) has the lowest group number and lowest electronegativity. 2. Total valence electrons - 3 x 6 (O) + 1 x 5 (N) + 1 (ion charge) = 24 3. Add 1 pair electrons between central atom and each other atom – 3 x 2 = 6 4. Add electrons to oxygen atoms to complete octet 5. Nitrogen still missing 2 electrons to complete octet 6. Borrow 2 electrons from one oxygen to form double bond 7. Formal Charge – nitrogen: 5 – (0 + ½*8) = 5 – 4 = +1 8. Formal Charge – single bonded oxygen: 6 – (6 + ½*2) = 6 – 7 = -1 x 2 = -2 9. Formal Charge – double bonded oxygen: 6 – (4 + ½*4) = 6 – 6 = 0 10. Net Charge of ion is: +1 +(-2) = -1 Formal Charge: As seen in the above example, a molecule or polyatomic ion can contain one or more double (even triple) bonds. In these cases, it is possible to write more than one Lewis structure and a decision must be made as to which structure is preferred. The nitrate ion above is shown in its 3 “resonance” forms. From an electronegativity perspective they are all the same and any one is just as preferable as any of the others. In other molecules, the relative placement of the multiple bonds and electronegativity of the elements does can in resonance forms where each element will have a different net or formal charge. Evaluation of the formal charge forms the basis of selecting the preferable resonance form. Formal charge is defined as: Formal Charge = no. of valence e- (no. unshared e- + ½ no. shared e-) Criteria: a. Smaller formal charges (Pos or Neg) are preferable to larger ones b. The same nonzero formal charges on adjacent atoms are not preferable c. A more negative formal charge should reside on a more electronegative atom Example: The cyanate ion – CNOThe cyanate ion can be presented in 3 resonance forms: The formal charges for each atom in each form are calculated as follows: I FCN = 5 – (6 + ½*2) = -2 FCC = 4 – (0 + ½*8) = 0 FCO = 6 – (2 + ½*6) = +1 II FCN = 5 – (4 + ½*4) = -1 FCC = 4 – (0 + ½*8) = 0 FCO = 6 – (4 + ½*4) = 0 III FCN = 5 – (2 + ½*6) = 0 FCC = 4 – (0 + ½*8) = 0 FCO = 6 – (6 + ½*2) = -1 Preferred Form: Eliminate I – Higher formal charge on nitrogen than carbon & oxygen Positive formal charge on oxygen, which is more electronegative than nitrogen Eliminate II – Forms II & III have the same magnitude of formal charges, but form III has a -1 charge on the more electronegative oxygen atom Forms II & III both contribute to the resonant hybrid of the cyanate ion, but form III is the more important Note: Net formal charge in form III is the same as the ionic charge (-1) Extended Valence Shells: Many molecules (and ions) have more than eight electrons around the central atom. Nonmetal elements from period 3 or higher can expand their valence shell by utilizing empty “d” orbitals to hold the additional electron pairs. Phosphorus pentachloride (PCL5) has the following Lewis structure 1. Select central atom – Phosphorus (P) has the lowest group number and lowest electronegativity. 2. Total valence electrons - 1 x 5 (P) + 5 x 7 (Cl) = 40 3. Distribute 6 e- to each of the 5 chlorine atoms 5 x 6 =30 4. Establish bonding pairs between phosphorus and chlorine atoms 5 x 2 = 10 5. Remaining electrons: 40 – 30 - 10 = 0 6. Phosphorus has “zero’ non-bonding pairs 7. Phosphorus has 10 valence shell electrons, thus it violates the “octet” rule 8. Since phosphorus is in Period 3, PF5 is a “hypervalent” molecule 9. The phosphorus utilizes electrons from vacant “d” orbitals to create a valence shell with more than 8 electrons Valence-Shell Electron-Repulsion Theory: Lewis structures provide 2-dimensional views of molecules, but since molecules are 3dimensional, the Lewis views are inherently misleading. The Valence-Shell Electron-Repulsion Theory (VSEPR) is used to predict the shape of a molecule from knowledge of its chemical formula and its electron distribution as depicted in the Lewis structure. The distribution of the atoms in 3-dimensional space is based on the principle of minimizing the electron repulsion between the valence electrons by arranging each group of valence electrons around the central atom as far as possible from the other groups. Groups of electrons include single bonds, double bonds, triple bonds, unbonded pairs and even lone electrons. These arrangements give rise to the distinctive molecular shapes (molecular geometry) that depend solely on the positions of the atomic nuclei relative to each other, i.e. the angular arrangement of the electron pairs around the central atom. The electron-group arrangement is defined by the bonding and non-bonding electron groups, but the molecular shape is defined by the spatial arrangement of the groups around the central atom. The VSEPR process (includes the Lewis Dot process): 1. Central Atom 1. Place atom with Lower Group Number (least electronegativity) in center 2. If atoms have the same group number, place the atom with the “Higher Period Number” in the center Example: Sulfur (S) for SO3; Chlorine (Cl) for ClF3 2. Draw the Lewis structure a. Determine how many bonding electron pairs are around the central atom. b. Determine the number of non-bonding electron pairs c. Count a multiple bond as “one pair” d. Arrange the electron pairs as far apart as possible to minimize electron repulsions e. Note the number of bonding and lone pairs 3. VSEPR Molecular Notation: AXaEb A – The Central Atom (Least Electronegative atom) X – The Ligands (Bonding Pairs) a – The Number of Ligands E – Non-Bonding Electron Pairs b – The Number of Non-Bonding Electron Pairs Double & Triple Bonds count as a “single” electron bonding pair The geometric arrangement is determined by: sum (a + b) Group Arrangements and Molecular Shapes: Two to six maximally spaced ligands can be attached to a central atom resulting in five geometric patterns. With the exception of the Linear pattern, each arrangement consists of two, three, or four shapes representing the unique combination of bonded electron pairs and nonbonding electron pairs. The possible geometric arrangements of the electron pairs around the central atom and the number of electron pairs required to give rise to a particular arrangement are summarized in tables 2 and 3. Linear: The linear arrangement consists of two ligands attached by two pairs of bonding electrons to a central atom in opposite directions. This arrangement does not have any unbonded electron pairs. The shape is linear with a bond angle of 180o. Examples: CO2, CS2, HCN, BeF2, NO2+ Central atom is carbon because it has lower group number Double bond counts as 1 bonding pair Carbon has 2 bonding e- pairs and 0 non-bonding e- pairs AX2E0 a + b = 2 + 0 = 2 Linear Trigonal Planar: The Trigonal Planar arrangement consists of up to three ligands attached to a central atom comprising two molecular shapes: 1. Trigonal Planar Central atom bound to three ligands (3 bonding electron pairs) and no non-bonding pairs with bond angles of 120o Examples: COCl2, SO3, BF3, NO3-, NO2-, CO32Central Atom is carbon with 3 bonding electron pairs (double bond counts as 1 bonding e- pair) and 0 non-bonding e- pairs. AX3E0 a + b = 3 + 0 = 3 Trigonal Planar 2. Bent V-shaped Central atom bound to two ligands (2 bonding electron pairs) plus one non-bonding electron pair with bond angles of <120o. Shows the effects of one pairs and double bonds on bond angle. Examples: SO2, O3, PbCl2, SnBr2 Ozone (O3) has two bonding electron pairs about the central oxygen (double bond counts as 1 bonding e- pair) and 1 nonbonding e- pair. AX2E1 a + b = 2 + 1 = 3 Bent (V-shaped) Tetrahedral: The Tetrahedral arrangement consists of up to 4 ligands attached to a central atom comprising three molecular shapes: 1. Tetrahedral Central atom bound to four ligands (4 bonding e- pairs) with bond angles of 109.5o. Examples: CH4, CCl4, SiCl4, SO42-, ClO4Central atom is carbon because it has lower electronegativity. Carbon has 4 bonding e- pairs and 0 non-bonding e- pairs. AX4E0 a+b = 4 + 0 = 4 Tetrahedral 2. Trigonal Pyramidal Central atom bound to 3 ligands (3 bonding electron pairs) plus one non-bonding electron pairs with bond angles of <109.5o. Examples: NH3, PF3, CLO3, H3O+ Central atom is nitrogen because it has lower group number. - - Nitrogen has 3 bonding e pairs and 1 non-bonding e pair AX3E1 a + b = 3 + 1 = 4 Trigonal Pyramidal 3. Bent (V-Shaped) Central atom bound to two ligands (2 bonding electron pairs) plus 2 non-bonding electron pairs with bond angles of <109.5o. Examples: H2O¸ OF2, SCL2 Central atom is oxygen because it has lower group number. Oxygen has 2 bonding e pairs and 2 non-bonding e pairs. AX2E2 (a+b) = 2 + 2 = 4 Bent V-Shaped Trigonal Bipyramidal: The Trigonal Bipyramidal arrangement consists of up to 5 ligands attached to a central atom comprising four molecular shapes. Note that trigonal bipyramidal geometry has two angle sets (axial and equatorial). 1. Trigonal Bipyramidal Central atom bound to five ligands (5 bonding e- pairs) with bond angles of 90o and 120o. Examples: PF5, ASF5, SOF4 Central atom is phosphorus because it has lower electronegativity. Phosphorus has 5 bonding e- pairs and 0 non-bonding e- pairs. AX5E0 a + b = 5 + 0 = 5 Trigonal Bipyramidal 2. SeeSaw Central atom bound to four ligands (4 bounding electron pairs) and one non-bonding electron pair with bond angles of <90o and <120o. Examples: SF4, XeO2F2, IF4+, IO2F2The central atom is sulfur because it has lower electronegativity. Sulfur has 4 bonding e pairs and 1 non-boning e pair. AX4E1 (a + b) = 4 + 1 = 5 SeeSaw 3. T-shaped Central atom bound to 3 ligands (3 bonding electron pairs) and two nonbonding electron pairs with bond angles of <90o. Examples: ClF3, BrF3 The central atom is chlorine because it has lower electronegativity. Chlorine has 3 bonding e- pairs and 2 non-bonding e- pairs. AX3E2 (a + b) = 3 + 2 = 5 T-Shaped 4. Linear Central atom bound to 2 ligands (2 bonding electron pairs) and 3 non-bonding electron pairs with bond angles of 180o. Examples: XeF2, I3-, IF2 The central atom is Xenon because it has lower electronegativity. Xenon has 2 bonding e- pairs and 3 non-bonding e- pairs. AX2E3 (a + b) = 2 + 3 = 5 Linear Octahedral: The Octahedral arrangement consists of up to 6 ligands attached to a central atom comprising three molecular shapes: 1. Octahedral Central atom bound to six ligands (6 bonding electron pairs) and no non-bonding pairs with bond angles of 90o. Examples: SF6, IOF5 Central atom is sulfur because it has lower electronegativity. Sulfur has 6 bonding e- pairs and 0 non-bonding e- pairs. AX6E0 (a + b) = 6 + 0 = 6 Octahedral 2. Square Pyramidal Central atom bound to five ligands (5 bonding electron pairs) and one non-bonding pair with bond angles of <90o. Examples: BrF5, TeF5-, XeOF4 Central atom is bromine because it has lower electronegativity. Bromine has 5 bonding e- pairs and 1 non-bonding e- pairs. AX5E1 (a + b) = 5 + 1 = 6 Square Pyramidal 3. Square Planar Central atom is Xenon because it has lower electronegativity. Xenon is bound to four ligands (4 bonding electron pairs) and two non-bonding pairs with bond angles of <90o. Example: XeF4 Central atom is Xenon because it has lower electronegativity. Xenon has 4 bonding e- pairs and 2 non-bonding e- pairs. AX4E2 (a + b) = 4 + 2 = 6 Square Planar Table 1: VSEPR Arrangements Total # of Electron Pairs On Central Atom (a + b) Valence-Shell Electron-Repulsion (VSEPR) Geometric Arrangement of Electron Pairs around the Central Atom AXaEb 2 Linear 3 Trigonal Planar 4 Tetrahedral 5 Trigonal Bipyramidal 6 Octahedral Table 2: VSEPR Arrangements and Shapes Valence-Shell Electron-Repulsion Theory (VSEPR) Molecular Shapes within Electron Group Arrangement Total # e- pairs Bonding e- pairs NonBonding e- pairs Group (Shape) AXaYb Designation Angles 2 2 0 Linear AX2 180o 3 3 0 Trigonal Planar AX3 120o AX2E1 <120o 3 2 1 Trigonal Planar (Bent V-Shaped) 4 4 0 Tetrahedral AX4 109.5o 1 Tetrahedral (Trigonal Pyramidal) AX3E1 <109.5o 4 3 <109.5o Tetrahedral 4 2 2 (Bent V-Shaped) AX2E2 Table 2 (con’t): Valence-Shell Electron-Repulsion (VSEPR) Molecular Shapes within Electron Group Arrangement Total e pairs 5 Bonding e pairs 5 NonBonding e pairs Group (Shape) 0 Trigonal Bypyramidal AXaYb Designation Angles AX5 120o 90 AX4E1 <120 <90 o 5 4 1 Trigonal Bypyramidal (Seesaw) 5 3 2 Trigonal Bypyramidal (T-Shaped) AX3E2 <90 5 2 3 Trigonal Bypyramidal (Linear) AX2E3 180 6 6 0 Octahedral AX4 90 6 5 1 Octahedral (Square Pyamidal) AX5E1 <90 2 Octahedral (Square Planar) AX4E2 <90 6 4 o o o o o o Isomers: Isomers are compounds that have the same molecular formula, but different arrangements of the atoms and functional groups in space. There are several different classes of isomers that determine whether they have similar or dissimilar physical and chemical properties. Isomers are characterized as to whether they are chiral or achiral; mirror images of each other; superimposable on their mirror images; and their ability to rotate a plane of polarized light. Figure 2 shows the subdivision of the isomer groups. Figure 2: Isomer Categories. ISOMERS Different compounds with the same molecular formula Constitutional (Structural) Isomers Isomers whose atoms have a different . arrangement (connectivity) of atoms Chain (Skeletal) isomerism Position isomerism (Regioisomerism) Functional group isomerism Chiral Molecules Not identical (asymmetric) on both sides of a central plane Not superposable on mirror image Chiral center with four different substituents Generally similar properties Optically active Enantiomers (optical) Mirror images of each other Not superposable on each other. Identical physical & chemical properties Stereoisomers Structural isomers) that differ only in the three-dimensional orientations of their atoms (functional groups) in space. Achiral Molecules Identical (symmetrical) on both sides of a central plane of symmetry) Identical to mirror image (superposable) Optically inactive Diastereomers Not an enantiomer Not mirror images of each other. Not Superposable Different chemical & physical properties Geometric (Cis/Trans) Differ arrangement of groups at a single atom, at double bonds, or in rings Constitutional (structural) isomers: Constitutional isomers have the same molecular formula, but having different arrangements of the atoms in space. They usually do not share similar properties. Constitutional isomers can be subdivided into three categories: 1. Chain (Skeletal) Isomers Same molecular formula but the hydrocarbon chain has variable amounts of branching. 2. Position Isomers Same molecular formula but a functional group or other substituent changes position on a parent structure. 3. Functional Group Isomers The same number atoms of the same elements, but the atoms are connected in different ways so that the groupings form different functional groups. Stereoisomers (or Stereomers): Stereoisomers are structural isomers of each other with the same molecular formula and sequence (connectivity) of the bonded atoms, but they differ in the three-dimensional orientations of their atoms in space. Chirality – Chirality is a property of handedness, whether or not a stereoisomer can be superimposed on its mirror image. The left hand cannot be superimposed on the right hand. Images of the left and right hands do not have a plane of symmetry, thus their mirror images are not identical. Such molecules are referred to as being “chiral.” “Achiral” molecules do have a plane of symmetry and their mirror images are identical (superposable). Examples of chiral and achiral molecules are presented in figure 3, which substitute simple skeletal diagrams for Wedge ( ) & Dash ( ) diagrams as an aid in visualizing the 3-dimensional forms of the molecules. Atoms with the wedge bonds are in front of the plane of paper and atoms with dashed bonds are behind the plane of paper. The student is encouraged to construct ball and stick models of the examples below as an even better method of visualizing the chirality, mirror images, superimposability of the molecules. Figure 3: Wedge & Dash diagrams for chiral and achiral molecules Chiral stereoisomers can be subdivided into two general categories: Enantiomers (also called optical isomers) Molecules that differ three-dimensionally by the placement of substituents around one or more atoms in a molecule. They are asymmetric molecules that are mirror images of each other but cannot be superimposed on each other. The molecules are not necessarily locked into their positions, but cannot be converted into one another, even by a rotation around a single bond. They are called optical isomers because they rotate the plane-polarized light. Figure 4: Enantiomer (optical) stereoisomer Note the asymmetry of the central carbon atom in the example in figure 4 as it is attached to 4 different groups. This carbon is a “stereocenter” and in organic chemistry is referred to as a “chiral center.” The exchange of any two of the groups results in a stereoisomer. Diastereoisomers Stereoisomers that have the same molecular formula and the same bonding or connectivity of the atoms, but they are not mirror images of each other and have different physical properties and chemical reactivity. Figure 5 shows how the same molecular formula can represent both an enantiomer isomeric form or a disastereoisomer form. The difference is the relative positioning of the chlorine, hydroxyl and proton groups, either behind ( ) or in front ( ) of the plane of the paper. The student should construct ball and stick models of the A, B, and C molecules to better visualize why molecule B is a mirror image of A and not superimposable on A, while molecule C is not a mirror image of A and is not superposable on A. Figure 5: Diastereoisomers vs Enantiomers: Cis-Trans Stereoisomers Included in the disastereoisomer group are the cis-trans isomers (also known as geometric isomers) where rotation of a functional group around a chemical bond is impossible such as in the case of double and triple bonds and in some ring structures. Cis-trans isomers occur both in organic molecules and in inorganic coordination complexes. Figure 6 shows the cis and trans isomers of 2,3-dichloro-2-butene and 1,2dimethylcyclopentane. In neither case, can the chlorine or methyl groups be interconverted because of the double bond and ring structure, respectively. They are also not mirror images of each other. Thus, the cis and trans forms of each compound are diastereoisomers, not enantiomers. Figure 6: Cis-Trans isomers: The Experiment: Gain familiarity with VSEPR theory and develop an ability to visualize the three-dimensional structure of molecules using a ball and stick modeling kit. Materials & Equipment: Equipment: Molecular Model Set Molecular Model Set - Organic Procedure: Part A: 5 Basic VSEPR Group Arrangements 1. Obtain a ball & stick model set from the instructor and examine the pieces included. Notice that there are plastic balls with varying number of holes depending on the color of the ball to be used as either the central atom or ligands There are also sticks representing bonding or non-bonding electron pairs and several flexible plastic bonds to be used to connect the central atom to the ligands. 2. Construct three-dimensional models of the five basic VSEPR group arrangements: Linear, Trigonal Planar, Tetrahedral, Trigonal Bipyramidal, and Octahedral. 3. Use the included protractor to confirm that the various angles are as indicated in Table 1. 4. The laboratory report should include a sketch of each model and a description of the process you used to match the model with the specified molecular arrangement. 5. For the trigonal bypyramidal, differentiate between the axial and equatorial positions and relevant angles. 6. For the octahedral, differentiate between the two sets of angles. 7. Record the sketches and applicable angles used for each model in the procedure results block. 8. When the 5 models have been completed, have the instructor check them. Part B: VSEPR Arrangements of select compounds 1. Develop the Lewis Dot structures and VSEPR models for the molecules listed below: BeH2 BH3 CH2Li2 H2O BiF5 SF5Cl For each case: a. Calculate the total number of valence electrons in the molecule b. Draw a Lewis Dot structure for the molecule following the instructors provided above. c. Set up the AXaEb notation for the molecule d. Determine the values of “’a” and “b” e. State the geometric arrangement of electron pairs corresponding to (a + b) f. Build the molecular model using different colored balls to represent different atoms or ligands. g. Represent the single bonds by using a single connecting rod between the ligand and the central atom. h. Use a rod, but no ball to represent non-bonded electron pairs on the central atom. i. Draw the molecule in its correct geometry using the figures in table 2 as a guide. j. Explicitly write the symbol for each atom or non-bonding pair of electrons in you drawing. Part C: Investigate geometrical isomerism Build ball and stick models of the indicated compounds in the following exercises. In your lab report, describe the isomer properties of each pair. Depict their 2-dimensional structure using simple skeletal diagrams and then their 3-dimensional structures using Wedge & Dash diagrams. 1. Build molecular models of the two possible isomers of PCl4Br. Which atom should be used as the central atom? Why are only two isomers possible? Are the two molecules superimposable? Are they the same or different compounds? 2. Build two models of the alanine molecule (CH3CH(NH2)COOH) showing that one is the enantiomer isomer of the other, i.e., they are mirror images of each other and not superimposable. 3. Build two models of the triose molecule (CHOCOH(H)CH(OH)CH2O) showing that one is the diastereoisomer of the other, i.e. they are not mirror images of each but are superposible on each other.