Chapter 14: Phenomena
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No Rabbit Ears on Water. the Structure of the Water Molecule
No Rabbit Ears on Water The Structure of the Water Molecule: What Should We Tell the Students? Michael Laing University of Natal. Durban, South Africa In the vast majority of high school (I)and freshman uni- He also considers the possibility of s character in the bond- versity (2) chemistry textbooks, water is presented as a bent ing orbitals of OF2 and OH2 to improve the "strength" of the molecule whose bonding can be described bv the Gilles~ie- orbital (p 111) from 1.732 for purep to 2.00 for the ideal sp3. Nyholm approach with the oxygen atomsp3 Gyhridized. The Inclusion of s character in the hybrid will be "resisted in the lone uairs are said to he dominant causine the H-O-H anele case of atoms with an nnshared pair.. in the s orbital, to beieduced from the ideal 1091120to 104' and are regul&ly which is more stable than the p orbitals" (p 120). Estimates shown as equivalent in shape and size even being described of the H-E-H angle range from 91.2 for AsH3 to 93.5O for as "rabbit ears" (3). Chemists have even been advised to Hz0. He once again ascribes the anomalies for Hz0 to "re- wear Mickey Mouse ears when teaching the structure and uulsion of the charzes of the hvdroaeu atoms" (D 122). bonding of the H20molecule, presumably to emphasize the - In his famous hook (6)~itac~oro&kii describks the bond- shape of the molecule (and possibly the two equivalent lone ing in water and HzS (p 10). -
Introduction to Molecular Orbital Theory
Chapter 2: Molecular Structure and Bonding Bonding Theories 1. VSEPR Theory 2. Valence Bond theory (with hybridization) 3. Molecular Orbital Theory ( with molecualr orbitals) To date, we have looked at three different theories of molecular boning. They are the VSEPR Theory (with Lewis Dot Structures), the Valence Bond theory (with hybridization) and Molecular Orbital Theory. A good theory should predict physical and chemical properties of the molecule such as shape, bond energy, bond length, and bond angles.Because arguments based on atomic orbitals focus on the bonds formed between valence electrons on an atom, they are often said to involve a valence-bond theory. The valence-bond model can't adequately explain the fact that some molecules contains two equivalent bonds with a bond order between that of a single bond and a double bond. The best it can do is suggest that these molecules are mixtures, or hybrids, of the two Lewis structures that can be written for these molecules. This problem, and many others, can be overcome by using a more sophisticated model of bonding based on molecular orbitals. Molecular orbital theory is more powerful than valence-bond theory because the orbitals reflect the geometry of the molecule to which they are applied. But this power carries a significant cost in terms of the ease with which the model can be visualized. One model does not describe all the properties of molecular bonds. Each model desribes a set of properties better than the others. The final test for any theory is experimental data. Introduction to Molecular Orbital Theory The Molecular Orbital Theory does a good job of predicting elctronic spectra and paramagnetism, when VSEPR and the V-B Theories don't. -
8.3 Bonding Theories >
8.3 Bonding Theories > Chapter 8 Covalent Bonding 8.1 Molecular Compounds 8.2 The Nature of Covalent Bonding 8.3 Bonding Theories 8.4 Polar Bonds and Molecules 1 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 8.3 Bonding Theories > Molecular Orbitals Molecular Orbitals How are atomic and molecular orbitals related? 2 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 8.3 Bonding Theories > Molecular Orbitals • The model you have been using for covalent bonding assumes the orbitals are those of the individual atoms. • There is a quantum mechanical model of bonding, however, that describes the electrons in molecules using orbitals that exist only for groupings of atoms. 3 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 8.3 Bonding Theories > Molecular Orbitals • When two atoms combine, this model assumes that their atomic orbitals overlap to produce molecular orbitals, or orbitals that apply to the entire molecule. 4 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 8.3 Bonding Theories > Molecular Orbitals Just as an atomic orbital belongs to a particular atom, a molecular orbital belongs to a molecule as a whole. • A molecular orbital that can be occupied by two electrons of a covalent bond is called a bonding orbital. 5 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 8.3 Bonding Theories > Molecular Orbitals Sigma Bonds When two atomic orbitals combine to form a molecular orbital that is symmetrical around the axis connecting two atomic nuclei, a sigma bond is formed. • Its symbol is the Greek letter sigma (σ). -
Covalent Bonding and Molecular Orbitals
Covalent Bonding and Molecular Orbitals Chemistry 35 Fall 2000 From Atoms to Molecules: The Covalent Bond n So, what happens to e- in atomic orbitals when two atoms approach and form a covalent bond? Mathematically: -let’s look at the formation of a hydrogen molecule: -we start with: 1 e-/each in 1s atomic orbitals -we’ll end up with: 2 e- in molecular obital(s) HOW? Make linear combinations of the 1s orbital wavefunctions: ymol = y1s(A) ± y1s(B) Then, solve via the SWE! 2 1 Hydrogen Wavefunctions wavefunctions probability densities 3 Hydrogen Molecular Orbitals anti-bonding bonding 4 2 Hydrogen MO Formation: Internuclear Separation n SWE solved with nuclei at a specific separation distance . How does the energy of the new MO vary with internuclear separation? movie 5 MO Theory: Homonuclear Diatomic Molecules n Let’s look at the s-bonding properties of some homonuclear diatomic molecules: Bond order = ½(bonding e- - anti-bonding e-) For H2: B.O. = 1 - 0 = 1 (single bond) For He2: B.O. = 1 - 1 = 0 (no bond) 6 3 Configurations and Bond Orders: 1st Period Diatomics Species Config. B.O. Energy Length + 1 H2 (s1s) ½ 255 kJ/mol 1.06 Å 2 H2 (s1s) 1 431 kJ/mol 0.74 Å + 2 * 1 He2 (s1s) (s 1s) ½ 251 kJ/mol 1.08 Å 2 * 2 He2 (s1s) (s 1s) 0 ~0 LARGE 7 Combining p-orbitals: s and p MO’s antibonding end-on overlap bonding antibonding side-on overlap bonding antibonding bonding8 4 2nd Period MO Energies s2p has lowest energy due to better overlap (end-on) of 2pz orbitals p2p orbitals are degenerate and at higher energy than the s2p 9 2nd Period MO Energies: Shift! For Z <8: 2s and 2p orbitals can interact enough to change energies of the resulting s2s and s2p MOs. -
3-MO Theory(U).Pptx
Molecular Orbital Theory Valence Bond Theory: Electrons are located in discrete pairs between specific atoms Molecular Orbital Theory: Electrons are located in the molecule, not held in discrete regions between two bonded atoms Thus the main difference between these theories is where the electrons are located, in valence bond theory we predict the electrons are always held between two bonded atoms and in molecular orbital theory the electrons are merely held “somewhere” in molecule Mathematically can represent molecule by a linear combination of atomic orbitals (LCAO) ΨMOL = c1 φ1 + c2 φ2 + c3 φ3 + cn φn Where Ψ2 = spatial distribution of electrons If the ΨMOL can be determined, then where the electrons are located can also be determined 66 Building Molecular Orbitals from Atomic Orbitals Similar to a wave function that can describe the regions of space where electrons reside on time average for an atom, when two (or more) atoms react to form new bonds, the region where the electrons reside in the new molecule are described by a new wave function This new wave function describes molecular orbitals instead of atomic orbitals Mathematically, these new molecular orbitals are simply a combination of the atomic wave functions (e.g LCAO) Hydrogen 1s H-H bonding atomic orbital molecular orbital 67 Building Molecular Orbitals from Atomic Orbitals An important consideration, however, is that the number of wave functions (molecular orbitals) resulting from the mixing process must equal the number of wave functions (atomic orbitals) used in the mixing -
Resonance 1. Lone Pair Next to Empty 2P Orbital
1 Lecture 5 Resonance 1. Lone pair next to empty 2p orbital electron pair acceptors - lack of electrons C C CC sp2 R+ is more common sp R+ is less common R+ needs electrons, has to overlap with a. an adjacent 2p lone pair with electrons b. an adjacent pi bond a. an adjacent 2p lone pair with electrons on a neutral atom (+ overall, delocalization of positive charge) R R X = neutral atom with lone pair R R C C R X 2D resonance R X C C R X R X R R R R C R C R CX CX R N R N R 3D resonance R R R R R R R C R C R CX R O CX 3D resonance R O R R R R C better, more bonds, full octets C R F R F b. an adjacent 2p lone pair with electrons on a negative atom (neutral overall, delocalization of electrons) R R X =anion with lone pair R R C C R X 2D resonance R X C C R X R X R R R R C R C R CX CX R C R C R 3D resonance R R R R R R R C R C R CX R N CX 3D resonance R N R R R R C C better, more bonds, full octets R O R O 2 Lecture 5 Problem 1 – All of the following examples demonstrate delocalization of a lone pair of electrons into an empty 2p orbital. Usually in organic chemistry this is a carbocation site, but not always. -
Effect of Lone Pairs on Hybridization
EFFECT OF LONE PAIRS ON HYBRIDIZATION We have discussed the effect of ghost lone pairs on the shape of a molecule in the post about VSEPR theory. The effect lone pairs exert is the same in VBT as it was in VSEPR. In this post we will study a few examples in which central atom possess lone pairs. First, we will take the example of NH3 molecule. When you draw its Lewis dot structure, you will find three bonding pairs of electrons and one lone pair on N. Now write the ground state configuration of N. 7N: 1s2, 2s2, 2p3 N already has 3 unpaired electrons in ground state to make bond with 3 H atoms. You may think why does N need hybridization in this case when it has 3 unpaired electrons of the same orbital p? Because hybridized orbitals are more competent in overlapping which results in a stronger bond. 3 In NH3 molecule, N chooses sp hybridization. This may get you puzzled again, if N has 3 unpaired electrons in p why does it include s orbital which has paired electrons? You know that the atoms follow Hund’s rule for filling electrons in orbitals, similarly they have to consider energy order of orbitals in hybridization also. When an atom undergoes hybridization, it has to pick orbitals in the increasing order of their energies. In NH3, N has to first pick 2s then 2px, 2py and then 2pz. N can’t ignore 2s even if it is filled because 2s has the lowest energy and N has to include all three 2p orbitals because it needs them for bonding with three H atoms. -
How Do We Know That There Are Atoms
Chemistry 11 Fall 2010 Discussion – 12/13/10 MOs and Hybridization 1. a. [:C N:]- Bond order = (8 – 2) / 2 = 3 *2p * 2p C 2p N 2p 2p 2p *2s C 2s N 2s 2s CN- b. Comparison of Lewis and MO models of CN- CN- Consistent: Both have triple bond (B.O. = 3) Inconsistent: - Lewis structure shows lone pairs on each atom rather than all e- being shared (MO) - Lewis structure indicates a negative formal charge on C, whereas MO suggests more electron density on N, which is consistent with EN considerations c. Both molecules exhibit sp mixing, and the MOs should reflect this. In N2, the molecular orbitals would be distributed equally between the two N atoms, whereas in CN-, the bonding orbitals have greater electron density on the more electronegative atom (N). The antibonding orbitals have more electron density on the less electronegative atom (C). - 1 - Chemistry 11 Fall 2010 2. a. Completed structure of guanine (carbons at each intersection are implied): * * * * b. 17 sigma bonds; 4 pi bonds. c. All carbons are sp2 hybridized; trigonal planar; with 120˚ bond angles. d. We predict that the three N’s marked with * are sp3 hybridized, with 109.5˚ bond angles. The remaining N atoms are sp2 hybridized, with 120˚ bond angles. e. i. Benzene: ii. For the structure drawn in (a), the bond angles in the six membered ring would be expected to be 120˚ for each atom except for the N§, which is predicted to have bond angles of 109.5˚. However, it is not possible to form a planar six-membered ring unless ALL the angles are 120˚. -
Localized Electron Model for Bonding What Does Hybridization Mean?
190 Localized electron model for bonding 1. Determine the Lewis Structure for the molecule 2. Determine resonance structures 3. Determine the shape of the molecule 4. Determine the hybridization of the atoms What does hybridization mean? Why hybridize? Look at the shape of many molecules, and compare this to the shape of the orbitals of each of the atoms. Shape of orbitals Orbitals on atoms are s, p, d, and f, and there are certain shapes associated with each orbital. an s orbital is a big sphere the f orbitals look like two four leaf the p orbitals looks like “8” ’s clovers each one points in along an axis three f orbitals look like weird “8”’s with two doughnuts around each four of the d orbitals look like four one leaf clovers one d orbital looks like an “8” with a doughnut around the middle Shape of molecules Remember we determine the shape of molecules by determining the number of sets of electrons around the atom. count double and triple bonds as one set, count single bonds as one set of electrons and count lone pairs as a set 2 sets—each pair of electrons points 180° away from the other 5 sets—each pair points toward the corner of a trigonal bipyramid 3 sets—each pair points toward the corner of a triangle 6 sets—each pair points toward the corners of an octahedron 4 sets—each pair points toward the corner of a tetrahedron 191 To make bonds we need orbitals—the electrons need to go some where. -
Origin of Chalcogen-Bonding Interactions
Edinburgh Research Explorer The Origin of Chalcogen-Bonding Interactions Citation for published version: Pascoe, D, Ling, K & Cockroft, S 2017, 'The Origin of Chalcogen-Bonding Interactions', Journal of the American Chemical Society, vol. 139, no. 42, pp. 15160–15167. https://doi.org/10.1021/jacs.7b08511 Digital Object Identifier (DOI): 10.1021/jacs.7b08511 Link: Link to publication record in Edinburgh Research Explorer Document Version: Peer reviewed version Published In: Journal of the American Chemical Society General rights Copyright for the publications made accessible via the Edinburgh Research Explorer is retained by the author(s) and / or other copyright owners and it is a condition of accessing these publications that users recognise and abide by the legal requirements associated with these rights. Take down policy The University of Edinburgh has made every reasonable effort to ensure that Edinburgh Research Explorer content complies with UK legislation. If you believe that the public display of this file breaches copyright please contact [email protected] providing details, and we will remove access to the work immediately and investigate your claim. Download date: 11. Oct. 2021 The Origin of Chalcogen-Bonding Interactions Dominic J. Pascoe†, Kenneth B. Ling‡, and Scott L. Cockroft†* †EaStCHEM School of Chemistry, University of Edinburgh, Joseph Black Building, David Brewster Road, Edinburgh, EH9 3FJ, UK ‡Syngenta, Jealott’s Hill International Research Centre, Bracknell, Berkshire, RG42 6EY, UK ABSTRACT: Favorable molecular interactions between group 16 elements have been implicated in catalysis, biological processes, materials and medicinal chemistry. Such interactions have since become known as chalcogen bonds by analogy to hydrogen and halogen bonds. -
Simple Molecular Orbital Theory Chapter 5
Simple Molecular Orbital Theory Chapter 5 Wednesday, October 7, 2015 Using Symmetry: Molecular Orbitals One approach to understanding the electronic structure of molecules is called Molecular Orbital Theory. • MO theory assumes that the valence electrons of the atoms within a molecule become the valence electrons of the entire molecule. • Molecular orbitals are constructed by taking linear combinations of the valence orbitals of atoms within the molecule. For example, consider H2: 1s + 1s + • Symmetry will allow us to treat more complex molecules by helping us to determine which AOs combine to make MOs LCAO MO Theory MO Math for Diatomic Molecules 1 2 A ------ B Each MO may be written as an LCAO: cc11 2 2 Since the probability density is given by the square of the wavefunction: probability of finding the ditto atom B overlap term, important electron close to atom A between the atoms MO Math for Diatomic Molecules 1 1 S The individual AOs are normalized: 100% probability of finding electron somewhere for each free atom MO Math for Homonuclear Diatomic Molecules For two identical AOs on identical atoms, the electrons are equally shared, so: 22 cc11 2 2 cc12 In other words: cc12 So we have two MOs from the two AOs: c ,1() 1 2 c ,1() 1 2 2 2 After normalization (setting d 1 and _ d 1 ): 1 1 () () [2(1 S )]1/2 12 [2(1 S )]1/2 12 where S is the overlap integral: 01 S LCAO MO Energy Diagram for H2 H2 molecule: two 1s atomic orbitals combine to make one bonding and one antibonding molecular orbital. -
Bsc Chemistry
____________________________________________________________________________________________________ Subject Chemistry Paper No and Title 2 and Physical Chemistry-I Module No and Title 27 and Valence Bond Theory I Module Tag CHE_P2_M27 SUBJECT PAPER : 2, Physical Chemistry I MODULE : 27, Valence Bond Theory I ____________________________________________________________________________________________________ TABLE OF CONTENTS 1. Learning Outcomes 2. Introduction 3. Valence Bond Theory (VBT) 3.1 Postulates of VBT 3.2 VBT of Hydrogen molecule 4. Summary 1. SUBJECT PAPER : 2, Physical Chemistry I MODULE : 27, Valence Bond Theory I ____________________________________________________________________________________________________ 1. Learning Outcomes After studying this module, you shall be able to: Learn about electronic structure of molecules using VBT Understand the postulates of VBT The VBT of Hydrogen molecule 2. Introduction Now, at this point we know that the Schrodinger equation cannot be solved exactly for multi-electron system even if the inter-nuclear distances are held constant. This is due to the presence of electron-electron repulsion terms in the Hamiltonian operator. Consequently, various approaches have been developed for the approximate solution of Schrodinger equation. Of these, Molecular Orbital Theory (MOT) and Valence Bond Theory (VBT) have been widely used. These two approaches differ in the choice of trial/approximate wave-function which is optimized via variation method for the system under consideration. Of these, we have already discussed MOT in earlier modules. In this module, we will take up the formalism of VBT in detail. 3. Valence Bond Theory Valence Bond Theory was the first quantum mechanical treatment to account for chemical bonding. This theory was first introduced by Heitler and London in 1927 and subsequently by Slater and Pauling in 1930s.