The Three Forms of Molecular Oxygen

Total Page:16

File Type:pdf, Size:1020Kb

The Three Forms of Molecular Oxygen The Three Forms of Molecular Oxygen Mlchael Lalngl California State University, Northridge, CA 91330 : Everyone is familiar with the oxygen in the air (I), and most have oreoared a "oure" samole of this important ele- ment. here &e many ways of doing this, and onk of the best is to heat a mixture of 90 parts KCIO2and 10 parts MnOn (by mass) and collect the gas that is evolved in a gas j& by downward displacement of water (2). It is certain that pure oxygen gas is very reactive. Not only will a glowing splint burst into flame when dropped into oxygen, but heated iron filings will hurn when dropped into the pure gas. This latter reaction is of course close to that of iron rusting (3), although rusting requires oxygen, water, and an electrolyte to proceed (4). Flgve 1. Energy level diagram of the O2 molecule (ground state blplet form. 3Z)drawnto scale, wlth wbltal energies measured by photmlecbon spectroc- On being cooled helow -183 OC oxygen condenses into a copy. Note the two unpaired electrons of parallel spin that occupy the two w' beautiful pale blue liquid with a remarkable property: it antibonding wbltals (AB). (Energies are In kJIml X 100). sticks to the poles of a magnet (5)!This property of heing attracted to a magnetic field, called paramagnetism, is found in any molecule or material that contains unpaired elec- trons. So these are a few of the facts about the behavior of elemental oxygen. The question is whether the bonding model for the pair of oxygen atoms in the diatomic molecule fits these facts. The simple molecular orhital model for diatomic mole- cules works beautifully (6). Figure 1shows the energy level diagram for the Oz molecule. Pairs of electrons are assigned to the a and the two r honding orbitals (BO), and one electron is assiened to each of the two r* antihondine orbi- tals (AB), the latter twoelectrons having their spins p&allel as reauired bv Hund's rule (7). These two electrons obev the Figwe 2. (lefl) Schematle energy level dlagam of me oxygen molecule in the "ma&num multiplicity, minimum energy" rule, andthey more stable slnglet state, 'A. This form lies 94.7 kJ (7882 cm-', 1269 nm) in are clearly of parallel spin. Thus, the 02molecule has two energy above the blplet ground state. unpaired electrons and is paramagnetic. This explanation of the paramagnetism of oxygen was the great triumph of the molecular orbital model. Figure 3. (rlgM) Smematloenergy level diagram of the oxygen molecule In the But what prevents us from assigning the two electrons to second (and less sable) singlet state '2.This state lies 158 kJ (13120 cm-'. the same orhital hut with opposite spin (Fig. 2)? And what of 762 nm) in energy above the triplet ground state. keeping the two electrons in different r* orbitals but assign- ing opposite spins to them (Fig. 3)? The three electron distributions described above are clearly different. The first of these, the ground state, has two unpaired electrons and is paramagnetic, while the other two have no unpaired electrons and are both diamagnetic. In other words, the simple molecular orhital picture of honding in diatomic molecules predicts that three forms of oxygen molecules could exist. The oxygen molecules with the elec- tron configurations illustrated in Figures 2 and 3 have all electrons paired so they will not be attracted by a magnetic field. Therefore, they will differ from the paramagnetic form shown in Fieure 1and so should he detectable. Furthermore. Figure 4. Schematic diagram showing Gle relative enargles of the highest they shouldbave different chemical properties. Even though occupied orbitals of the oxygen molecules in the three states: 32,'A, '2. the two nuclei are identical in each case. the form with two unpaired electrons will differ in chemical reactivity from the ones in which all electrons are oaired. Also. because the ele~tronconfi~urationsarediftere~t,these three forms must We can also ponder on the 0-0 bond lengths in the three differ in enerrv. Unfortunatelv, we cannot deduce their rela- different electronic states: will they be the same or different? tive energies-&her than to say that the form with two un- In each state there are six honding electrons and two anti- paired electrons will he lowest in energy (Fig. 4), in keeping bonding electrons. Clearly the formal bond order in each with Hund's rule (7). case will he 2. We are therefore led to predict that the three , forms would have similar 0-0 bond lengths, with the bond lengths in the forms with all electrons paired predicted to be ' On leave from University of Natal, Durban, South Africa. somewhat longer than in the paramagnetic form. Volume 66 Number 6 June 1969 453 The question to ask now is: does the oxygen molecule actually exist in more than one electronic form? The answer is emphatically yes. All three states have been detected. The commonest form, the ground state with two unpaired elec- trons, is termed a triplet and given the symho132.The other Note that both C-C and 0-0 bonds are cleaved simulta- two forms with paired electrons are called singlet states and neously. An interesting example of this reaction is the syn- are termed "excited" because they are higher in energy than thesis of a musk fragrance (3). is the triplet ground state. They aregiven the symholslAand '2, with 'A lower in energy than '2 (7). The singlet 'A form ex& not as a theoretical curiosity hut as a useful material, valuahle as a reagent in organic chemis- try (8). There are several detailed reviews that describe its preparation, physical characteristics, and reactions (9).This chemically useful lA form can be prepared either hy reacting hydrogen peroxide with sodium hypochlorite or by excita- tion of ordinarv 3 trinlet oxveen with ultraviolet liaht in the presence of a sensitiz& dyL?oncentrationsofupio 10% in theeas nhasecan he obtained. and the lifetime of the sinnlet Quite apart from its importance in synthetic organic 'A form can he between 1 s Ad 45 min, depending onthe chemistry, singlet oxygen plays an important role in autoxi- concentration of the eas and whether the phase is aaseous. or dation (i.e., photodegradation of polymers and vulcanized condensed. rubber in air). Notice, too, the implications for biology and Singlet 'A oxygen undergoes two-electron reactions (anal- life forms that are dependent on oxygen transpiration. The ogous to those of ethylene), unlike paramagnetic triplet 32 same photosensitizing dyes that yield 'A singlet oxygen also oxygen, which takes part in free radical processes. sensitize the oxidative destruction of nucleic acids and en- The reactions of 'A singlet oxygen are important because zymesand can produce skin cancer. Inaddition, many of the they represent very smooth methods of introducing oxygen carcinogenic polycyclic aromatic hydrocarbons are known to into an organic compound in a highly stereospecific fashion. be good photosensitizers with the ability to generate singlet There are three common modes of reaction of 'A oxygen: the oxygen. Furthermore, the reactions of certain oxygenases so ene reaction, the Diels-Alder type of cycloaddition, and the resemble that of 'A oxygen that it becomes a prime candi- addition to an activated douhle hond. All three types have date as the reactive species in these enzvmatic reactions (11). been used in organic synthesis involving oxidation of olefins, One of the uniquesspects of this 'A singlet form of oxygen especially in the field of natural producta (10). Examples of is that it can be detected visually because it takes.part in each type of reaction of 'A oxygen, abbreviated '02, are given reactions that yield "cold light", a process called chemilumi- below. nescence (12). The best known reaction of this class is the The Ene Reaction reaction of luminol that gives a beautiful blue glow in the dark (13). This reaction involves the migration of a double hond to Finally, we come back to the question of the 0-0 bond form an allylic hydroperoxide, which in turn can he dehy- lengths. They were in fad measured many years ago by a drated to yield an unsaturated ketone. careful analysis of the ultraviolet absorption spectrum of oxygen gas. The experimentall determined hond lengths are: 32 (ground state) 1.2074 A: 'A (lowest excited state) 1.2155 A, '2 (second excited state) 1.2268 A (14). Three thines are evident: (1) all of the bond lengths are similar (in kee$ng with the foimal bond order hein$i in each case); (2)' Alternatively, the hydroperoxide group can be reduced to the bond lenaths are loneer in the excited states; and (3) the' OH to form an allylic alcohol. 'A state h&the short& of the hond lengths of the two excited states. All three observations are in line with what Dlels-Alder Type of Addltlon might have been predicted. Here the lOz adds across two douhle bonds to form a six- We may conclude by saying that a logical application of membered ring, which in turn can be decomposed to give two the simple rules of the molecular orbital bonding theory for carbonyl groups. diatomic molecules (6) led us to predict the existence of three spin isomers of the oxygen molecule: one triplet form with two unpaired electrons and two singlet forms with all electrons mired. In addition. the exoerimental chemist has shown thk the reactivity df the singlet 'A form differs moueh from that of the usual tri~let32 form be useful in One of the fust examples of this type of addition is the - to classic synthesis of (f)-ascaridole (2) in near quantitative organic synthesis.
Recommended publications
  • Review Sheet on Determining Term Symbols
    Review Sheet on Determining Term Symbols Term symbols for electronic configurations are useful not only to the spectroscopist but also to the inorganic chemist interested in understanding electronic and magnetic properties of molecules. We will concentrate on the method of Douglas and McDaniel (p. 26ff); however, you may find other treatments equal or superior to the D & M method. Term symbols are a shorthand method used to describe the energy, angular momentum, and spin multiplicity of an atom in any particular state. The general form is a given as Tj where T is a capital letter corresponding to the value of L (the angular momentum quantum number) and may be assigned as S, P, D, F, G, … for |L| = 0, 1, 2, 3, 4, … respectively. The superscript “a” is called the spin multiplicity and can be evaluated as a = 2S +1 where S is the spin quantum number. The subscript “j” is the numerical value of J, a new quantum number defined as: J = l +S, which corresponds to the total orbital and spin angular momentum of the system. The term symbol 3P is read as triplet – Pee state and indicates that there are two unpaired electrons in a state with maximum orbital angular momentum, L=1. The number of microstates (N) of a system corresponds to the total number of distinct arrangements for “e” number of electrons to be placed in “n” number of possible orbital positions. N = # of microstates = n!/(e!(n-e)!) For a set of p orbitals n = 6 since there are 2 positions in each orbital.
    [Show full text]
  • Transparent Photochemistry: Infrared Photosensitizers and Singlet Oxygen Microscopy
    Transparent Photochemistry: Infrared photosensitizers and singlet oxygen microscopy Elsa Fernanda Freitas da Silva Tese orientada por: Luís Guilherme da Silva Arnaut Moreira e Peter Remsen Ogilby Universidade de Coimbra Tese de Doutoramento em Química, especialidade Fotoquímica apresentada ao Departamento de Química da Faculdade de Ciências e tecnologia da Universidade de Coimbra. Coimbra, Julho de 2013 Acknowledgements This dissertation is the result of joint efforts, collaborations and help by many people. I want to express my appreciation to my supervisor, Professor Luis G. Arnaut, for his guidance, support and availability. His enthusiasm with science and motivation are an example to me. It has been a great pleasure to work in his group. To my group of colleagues in Coimbra: Rui Nunes, Gonçalo Sá, Ligia Silva, Hélder Tão, I want to thank you all for the support and fellowship. Specially, I want to thank Carlos Serpa for his availability to help and assistance me with the laser systems and, Fábio Schaberle for his assistance with photoacoustic calorimetry experiments and for been actively interested on my work providing me with great comments that were valued greatly. My special thanks to Professor Peter R. Ogilby for accepting to be my co-supervisor and give me the opportunity to work with different techniques in his laboratory in the University of Aarhus in Denmark. Peter valuable suggestions have greatly improved my scientific work. I have had a great time working in COMIs group. I want to thank all COMI group members whom I have encountered during my stay, for their great support and welcoming. Brian Wett for walking me through the laboratory on my first times.
    [Show full text]
  • States of Oxygen Liquid and Singlet Oxygen Photodynamic Therapy
    Oxygen States of Oxygen As far as allotropes go, oxygen as an element is fairly uninteresting, with ozone (O3, closed-shell and C2v symmetric like SO2) and O2 being the stable molecular forms. Most of our attention today will be devoted to the O2 molecule that is so critically connected with life on Earth. 2 2 2 4 2 O2 has the following valence electron configuration: (1σg) (1σu) (2σg) (1πu) (1πg) . It is be- cause of the presence of only two electrons in the two π* orbitals labelled 1πg that oxygen is paramagnetic with a triplet (the spin multiplicity \triplet" is given by 2S+1; here S, the total spin quantum number, is 0.5 + 0.5 = 1). There are six possible ways to arrange the two electrons in the two degenerate π* orbitals. These different ways of arranging the electrons in the open shell are called \microstates". Further, because there are six microstates, we can say that the total degeneracy of the electronic states 2 3 − arising from (1πg) configuration must be equal to six. The ground state of O2 is labeled Σg , the left superscript 3 indicating that this is a triplet state. It is singly degenerate orbitally and triply degenerate in terms of spin multiplicity; the total degeneracy (three for the ground state) is given by the spin times the orbital degeneracy. 1 The first excited state of O2 is labeled ∆g, and this has a spin degeneracy of one and an orbital degeneracy of two for a total degeneracy of two. This state corresponds to spin pairing of the electrons in the same π* orbital.
    [Show full text]
  • The Photochemistry of Tetramethyl-3-Thio-1,3-Cyclobutanedione
    South Dakota State University Open PRAIRIE: Open Public Research Access Institutional Repository and Information Exchange Electronic Theses and Dissertations 1972 The Photochemistry of tetramethyl-3-thio-1,3-cyclobutanedione Mason Ming-Sun Shen Follow this and additional works at: https://openprairie.sdstate.edu/etd Recommended Citation Shen, Mason Ming-Sun, "The Photochemistry of tetramethyl-3-thio-1,3-cyclobutanedione" (1972). Electronic Theses and Dissertations. 4833. https://openprairie.sdstate.edu/etd/4833 This Thesis - Open Access is brought to you for free and open access by Open PRAIRIE: Open Public Research Access Institutional Repository and Information Exchange. It has been accepted for inclusion in Electronic Theses and Dissertations by an authorized administrator of Open PRAIRIE: Open Public Research Access Institutional Repository and Information Exchange. For more information, please contact [email protected]. THE PHarOCHEMISTRY OF TETRAMETHYL-3-THIO-l,J-CYCLOBUTANEDIONE BY MASON MING-SUN SHEN A thesis submitted in partial fulfillment of the requirements for tne degree Master of Science, Major - in Chemistry, South Dakota State University 1972 SOUTH DAKOTA STATE UNIVERSITY LIBRAR fer -th:Ls -7 - - -- -07 -­ D;;;/:...; TO MY PARENTS PHOTOCHEMISTRY OF THE TETRAMETHYL-)-THI0-1,)-CYCLOBUTANEDIONE Abstract MASON MING-SUN SHEN Under the supervision of Professor James J. Worman photochemical reaction of tetramethyl-3-thio-i.l,3-cyclo­ The butanedione in the presence of oxygen and light yields tetramethyl-1, )-cyclobutanedione and sulfur dioxide. kinetics and mechanism of the reaction have been studied The thoroughly in different solvents and at different concentrations. Results this study indicate that the mechanism probably involves· of singlet oxygen and state thione although triplet thione and ground triplet xygen are not completely eliminated.
    [Show full text]
  • Photochemical and Magnetic Properties of Complex and Nuclear Chemistry
    • Programme: MSc in Chemistry • Course Code: MSCHE2001C04 • Course Title: Photochemical and magnetic properties of complex and nuclear chemistry • Unit: Electronic spectra of coordination compounds • Course Coordinator: Dr. Jagannath Roy, Associate Professor, Department of Chemistry, Central University of South Bihar Note: These materials are only for classroom teaching purpose at Central University of South Bihar. All the data/figures/materials are taken from text books, e-books, research articles, wikipedia and other online resources. 1 Course Objectives: 1. To make students understand structure and propeties of inorganic compounds 2. To accuaint the students with the electronic spectroscopy of coordination compounds 3. To introduce the concepts of magnetochemistry among the students for analysing the properties of complexes. 4. To equip the students with necessary skills in photochemical reaction transition metal complexes 5. To develop knowledge among the students on nuclear and radio chemistry Learning Outcomes: After completion of the course, learners will be able to: 1. Analyze the optical/electronic spectra of coordination compounds 2. Make use of the photochemical behaviour of complexes in designing solar cells and other applications. 3. Design and perform photochemical reactions of transition metal complexes 4. Analyze the magnetic properties of complexes 5. Explain the various phenomena taking place in the nucleus 6. Understand the working of nuclear reactors 2 Lecture-1 Lecture Topic- Introduction to the Electronic Spectra of Transition Metal complexes 3 Crystal field theory (CFT) is ideal for d1 (d9) systems but tends to fail for the more common multi- electron systems. This is because of electron-electron repulsions in addition to the crystal field effects on the repulsion of the metal electrons by the ligand electrons.
    [Show full text]
  • Molecular Orbital Theory to Predict Bond Order • to Apply Molecular Orbital Theory to the Diatomic Homonuclear Molecule from the Elements in the Second Period
    Skills to Develop • To use molecular orbital theory to predict bond order • To apply Molecular Orbital Theory to the diatomic homonuclear molecule from the elements in the second period. None of the approaches we have described so far can adequately explain why some compounds are colored and others are not, why some substances with unpaired electrons are stable, and why others are effective semiconductors. These approaches also cannot describe the nature of resonance. Such limitations led to the development of a new approach to bonding in which electrons are not viewed as being localized between the nuclei of bonded atoms but are instead delocalized throughout the entire molecule. Just as with the valence bond theory, the approach we are about to discuss is based on a quantum mechanical model. Previously, we described the electrons in isolated atoms as having certain spatial distributions, called orbitals, each with a particular orbital energy. Just as the positions and energies of electrons in atoms can be described in terms of atomic orbitals (AOs), the positions and energies of electrons in molecules can be described in terms of molecular orbitals (MOs) A particular spatial distribution of electrons in a molecule that is associated with a particular orbital energy.—a spatial distribution of electrons in a molecule that is associated with a particular orbital energy. As the name suggests, molecular orbitals are not localized on a single atom but extend over the entire molecule. Consequently, the molecular orbital approach, called molecular orbital theory is a delocalized approach to bonding. Although the molecular orbital theory is computationally demanding, the principles on which it is based are similar to those we used to determine electron configurations for atoms.
    [Show full text]
  • The Chemistry of Carbene-Stabilized
    THE CHEMISTRY OF CARBENE-STABILIZED MAIN GROUP DIATOMIC ALLOTROPES by MARIHAM ABRAHAM (Under the Direction of Gregory H. Robinson) ABSTRACT The syntheses and molecular structures of carbene-stabilized arsenic derivatives of 1 1 i 1 1 AsCl3 (L :AsCl3 (1); L : = :C{N(2,6- Pr2C6H3)CH}2), and As2 (L :As–As:L (2)), are presented herein. The potassium graphite reduction of 1 afforded the carbene-stabilized diarsenic complex, 2. Notably, compound 2 is the first Lewis base stabilized diatomic molecule of the Group 13–15 elements, in the formal oxidation state of zero, in the fourth period or lower of the Periodic Table. Compound 2 contains one As–As σ-bond and two lone pairs of electrons on each arsenic atom. In an effort to study the chemistry of the electron-rich compound 2, it was combined with an electron-deficient Lewis acid, GaCl3. The addition of two equivalents of GaCl3 to 2 resulted in one-electron oxidation of 2 to 1 1 •+ – •+ – give [L :As As:L ] [GaCl4] (6 [GaCl4] ). Conversely, the addition of four equivalents of GaCl3 to 2 resulted in two- electron oxidation of 2 to give 1 1 2+ – 2+ – •+ [L :As=As:L ] [GaCl4 ]2 (6 [GaCl4 ]2). Strikingly, 6 represents the first arsenic radical to be structurally characterized in the solid state. The research project also explored the reactivity of carbene-stabilized disilicon, (L1:Si=Si:L1 (7)), with borane. The reaction of 7 with BH3·THF afforded two unique compounds: one containing a parent silylene (:SiH2) unit (8), and another containing a three-membered silylene ring (9).
    [Show full text]
  • 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.
    [Show full text]
  • 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).
    [Show full text]
  • Photochemical Generation of Carbenes and Ketenes from Phenanthrene-Based Precursors Part I: Dimethylalkylidene Part II: Diphenylketene
    Colby College Digital Commons @ Colby Honors Theses Student Research 2017 Photochemical Generation of Carbenes and Ketenes from Phenanthrene-based Precursors Part I: Dimethylalkylidene Part II: Diphenylketene Tarini S. Hardikar Student Tarini Hardikar Colby College Follow this and additional works at: https://digitalcommons.colby.edu/honorstheses Part of the Organic Chemistry Commons Colby College theses are protected by copyright. They may be viewed or downloaded from this site for the purposes of research and scholarship. Reproduction or distribution for commercial purposes is prohibited without written permission of the author. Recommended Citation Hardikar, Tarini S. and Hardikar, Tarini, "Photochemical Generation of Carbenes and Ketenes from Phenanthrene-based Precursors Part I: Dimethylalkylidene Part II: Diphenylketene" (2017). Honors Theses. Paper 948. https://digitalcommons.colby.edu/honorstheses/948 This Honors Thesis (Open Access) is brought to you for free and open access by the Student Research at Digital Commons @ Colby. It has been accepted for inclusion in Honors Theses by an authorized administrator of Digital Commons @ Colby. Photochemical Generation of Carbenes and Ketenes from Phenanthrene-based Precursors Part I: Dimethylalkylidene Part II: Diphenylketene TARINI HARDIKAR A Thesis Presented to the Department of Chemistry, Colby College, Waterville, ME In Partial Fulfillment of the Requirements for Graduation With Honors in Chemistry SUBMITTED MAY 2017 Photochemical Generation of Carbenes and Ketenes from Phenanthrene-based Precursors Part I: Dimethylalkylidene Part II: Diphenylketene TARINI HARDIKAR Approved: (Mentor: Dasan M. Thamattoor, Professor of Chemistry) (Reader: Rebecca R. Conry, Associate Professor of Chemistry) “NOW WE KNOW” - Dasan M. Thamattoor Vitae Tarini Shekhar Hardikar was born in Vadodara, Gujarat, India in 1996. She graduated from the S.N.
    [Show full text]
  • 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.
    [Show full text]
  • 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
    [Show full text]