Properties of Borane, the BH 3 Molecule

Size: px
Start display at page:

Download "Properties of Borane, the BH 3 Molecule"

Transcription

1

2 Properties of Borane, the BH 3 Molecule Natural Bond Orbital (NBO) analysis following MO calculation

3 Borane Exists as a Dimer: Diborane Diborane, B 2 H 6, is a colorless gas forming explosive mixtures with air Diborane is endothermic with Hf = 36 kj/mol Despite this thermodynamic stability, diborane is kinetically not so reactive but takes place in many reactions involving loss of H 2 Industrial synthesis: 8 BF LiH B 2 H LiBF 4 Convenient laboratory synthesis: 2 NaBH 4 + I 2 2 NaI + B 2 H 6 + H 2

4 Borane Exists as a Dimer: Diborane Diborane, B 2 H 6, is a colorless gas forming explosive mixtures with air Diborane is endothermic with Hf = 36 kj/mol Despite this thermodynamic stability, diborane is kinetically not so reactive but takes place in many reactions involving loss of H 2 Industrial synthesis: 8 BF LiH B 2 H LiBF 4 Convenient laboratory synthesis: 2 NaBH 4 + I 2 2 NaI + B 2 H 6 + H 2

5 Borane Exists as a Dimer: Diborane Diborane, B 2 H 6, is a colorless gas forming explosive mixtures with air Diborane is endothermic with Hf = 36 kj/mol Despite this thermodynamic stability, diborane is kinetically not so reactive but takes place in many reactions involving loss of H 2 Industrial synthesis: 8 BF LiH B 2 H LiBF 4 Convenient laboratory synthesis: 2 NaBH 4 + I 2 2 NaI + B 2 H 6 + H 2

6 Borane Exists as a Dimer: Diborane Diborane, B 2 H 6, is a colorless gas forming explosive mixtures with air Diborane is endothermic with Hf = 36 kj/mol Despite this thermodynamic stability, diborane is kinetically not so reactive but takes place in many reactions involving loss of H 2 Industrial synthesis: 8 BF LiH B 2 H LiBF 4 Convenient laboratory synthesis: 2 NaBH 4 + I 2 2 NaI + B 2 H 6 + H 2

7 Borane Exists as a Dimer: Diborane Diborane, B 2 H 6, is a colorless gas forming explosive mixtures with air Diborane is endothermic with Hf = 36 kj/mol Despite this thermodynamic stability, diborane is kinetically not so reactive but takes place in many reactions involving loss of H 2 Industrial synthesis: 8 BF LiH B 2 H LiBF 4 Convenient laboratory synthesis: 2 NaBH 4 + I 2 2 NaI + B 2 H 6 + H 2

8 Borane Exists as a Dimer: Diborane Alfred Stock pioneered the chemistry of the boron hydrides using vacuum-line techniques Stock proposed an ethane-like structure for diborane S. H. Bauer in 1937 reported electron diffraction measurements interpreted (DOI: /ja01285a041) in support of the ethane-like structure The ethane-like structure required resonance structures with one-electron bonds

9 Borane Exists as a Dimer: Diborane Alfred Stock pioneered the chemistry of the boron hydrides using vacuum-line techniques Stock proposed an ethane-like structure for diborane S. H. Bauer in 1937 reported electron diffraction measurements interpreted (DOI: /ja01285a041) in support of the ethane-like structure The ethane-like structure required resonance structures with one-electron bonds

10 Borane Exists as a Dimer: Diborane Alfred Stock pioneered the chemistry of the boron hydrides using vacuum-line techniques Stock proposed an ethane-like structure for diborane S. H. Bauer in 1937 reported electron diffraction measurements interpreted (DOI: /ja01285a041) in support of the ethane-like structure The ethane-like structure required resonance structures with one-electron bonds

11 Borane Exists as a Dimer: Diborane Alfred Stock pioneered the chemistry of the boron hydrides using vacuum-line techniques Stock proposed an ethane-like structure for diborane S. H. Bauer in 1937 reported electron diffraction measurements interpreted (DOI: /ja01285a041) in support of the ethane-like structure The ethane-like structure required resonance structures with one-electron bonds

12 Borane Exists as a Dimer: Diborane 1943 (DOI: /JR ) undergraduate student H. C. Longuet-Higgins (Balliol College, Oxford) and R. P. Bell proposed B-H-B bridge bonds instead with a D 2h symmetry structure In 1941 a U. of Chicago chemistry professor Schlesinger working on the Manhattan project wrote a letter to Linus Pauling suggesting the same structure with B-H-B bridge bonds (A Diborane Story, Pierre Laszlo, ACIE 2000, 39, 2071); Pauling responded unfavorably Mulliken weighed in (1947) with an MO analysis favoring the D 2h structure because of agreement with electronic absorption spectra Price interpreted the IR data in terms of the D 2h structure and gave assignments Shoolery reported clinching NMR data in 1955

13 Borane Exists as a Dimer: Diborane 1943 (DOI: /JR ) undergraduate student H. C. Longuet-Higgins (Balliol College, Oxford) and R. P. Bell proposed B-H-B bridge bonds instead with a D 2h symmetry structure In 1941 a U. of Chicago chemistry professor Schlesinger working on the Manhattan project wrote a letter to Linus Pauling suggesting the same structure with B-H-B bridge bonds (A Diborane Story, Pierre Laszlo, ACIE 2000, 39, 2071); Pauling responded unfavorably Mulliken weighed in (1947) with an MO analysis favoring the D 2h structure because of agreement with electronic absorption spectra Price interpreted the IR data in terms of the D 2h structure and gave assignments Shoolery reported clinching NMR data in 1955

14 Borane Exists as a Dimer: Diborane 1943 (DOI: /JR ) undergraduate student H. C. Longuet-Higgins (Balliol College, Oxford) and R. P. Bell proposed B-H-B bridge bonds instead with a D 2h symmetry structure In 1941 a U. of Chicago chemistry professor Schlesinger working on the Manhattan project wrote a letter to Linus Pauling suggesting the same structure with B-H-B bridge bonds (A Diborane Story, Pierre Laszlo, ACIE 2000, 39, 2071); Pauling responded unfavorably Mulliken weighed in (1947) with an MO analysis favoring the D 2h structure because of agreement with electronic absorption spectra Price interpreted the IR data in terms of the D 2h structure and gave assignments Shoolery reported clinching NMR data in 1955

15 Borane Exists as a Dimer: Diborane 1943 (DOI: /JR ) undergraduate student H. C. Longuet-Higgins (Balliol College, Oxford) and R. P. Bell proposed B-H-B bridge bonds instead with a D 2h symmetry structure In 1941 a U. of Chicago chemistry professor Schlesinger working on the Manhattan project wrote a letter to Linus Pauling suggesting the same structure with B-H-B bridge bonds (A Diborane Story, Pierre Laszlo, ACIE 2000, 39, 2071); Pauling responded unfavorably Mulliken weighed in (1947) with an MO analysis favoring the D 2h structure because of agreement with electronic absorption spectra Price interpreted the IR data in terms of the D 2h structure and gave assignments Shoolery reported clinching NMR data in 1955

16 Borane Exists as a Dimer: Diborane 1943 (DOI: /JR ) undergraduate student H. C. Longuet-Higgins (Balliol College, Oxford) and R. P. Bell proposed B-H-B bridge bonds instead with a D 2h symmetry structure In 1941 a U. of Chicago chemistry professor Schlesinger working on the Manhattan project wrote a letter to Linus Pauling suggesting the same structure with B-H-B bridge bonds (A Diborane Story, Pierre Laszlo, ACIE 2000, 39, 2071); Pauling responded unfavorably Mulliken weighed in (1947) with an MO analysis favoring the D 2h structure because of agreement with electronic absorption spectra Price interpreted the IR data in terms of the D 2h structure and gave assignments Shoolery reported clinching NMR data in 1955

17 Structure for the B 2 H 6 Molecule Graphic from Price, 1948, DOI: /

18 Structure for the B 2 H 6 Molecule A different way of writing the bridge bonds H H B B H H H H

19

20 Borohydride Ion [BH 4 ] has T d Symmetry NaBH 4 CD3CN H NMR (ppm)

21 MO Calculations on the B 2 H 6 Molecule Natural Bond Orbital (NBO) analysis following MO calculation This is one of the four terminal 2c-2e B-H bonds

22 MO Calculations on the B 2 H 6 Molecule Natural Bond Orbital (NBO) analysis following MO calculation This is one of the four terminal 2c-2e B-H bonds

23 MO Calculations on the B 2 H 6 Molecule Natural Bond Orbital (NBO) analysis following MO calculation This is one of the two 3c-2e B-H bridge bonds

24 MO Calculations on the B 2 H 6 Molecule Natural Bond Orbital (NBO) analysis following MO calculation This is one of the two 3c-2e B-H bridge bonds

25 Resonance Structures for the B 2 H 6 Molecule Natural Bond Orbital (NBO) analysis following MO calculation

26

27 Reaction of Borane THF Adduct with CO 2 Mizuta et al. Organometallics, 2014, 33, pp DOI: /om The reaction between commercially available borane solutions and CO 2 had not been reported! The product of this reaction is called trimethoxyboroxine, with CO 2 reduced to the level of methanol

28 Reaction of Borane THF Adduct with CO 2 Mizuta et al. Organometallics, 2014, 33, pp DOI: /om The reaction between commercially available borane solutions and CO 2 had not been reported! The product of this reaction is called trimethoxyboroxine, with CO 2 reduced to the level of methanol

29 Reaction of Borane THF Adduct with CO 2 Mizuta et al. Organometallics, 2014, 33, pp DOI: /om The reaction between commercially available borane solutions and CO 2 had not been reported! The product of this reaction is called trimethoxyboroxine, with CO 2 reduced to the level of methanol

30 Donor-Acceptor Bonds Typically written with an arrow or with a line and formal charges A donor-acceptor bond can be written this way: Me 2 O: BH 3 Alternatively it can be written this way: Me 2 O + B H 3 A donor-acceptor complex forms with a Lewis base donating an electron pair to a Lewis acid

31 Donor-Acceptor Bonds Typically written with an arrow or with a line and formal charges A donor-acceptor bond can be written this way: Me 2 O: BH 3 Alternatively it can be written this way: Me 2 O + B H 3 A donor-acceptor complex forms with a Lewis base donating an electron pair to a Lewis acid

32 Donor-Acceptor Bonds Typically written with an arrow or with a line and formal charges A donor-acceptor bond can be written this way: Me 2 O: BH 3 Alternatively it can be written this way: Me 2 O + B H 3 A donor-acceptor complex forms with a Lewis base donating an electron pair to a Lewis acid

33 Donor-Acceptor Bonds Typically written with an arrow or with a line and formal charges A donor-acceptor bond can be written this way: Me 2 O: BH 3 Alternatively it can be written this way: Me 2 O + B H 3 A donor-acceptor complex forms with a Lewis base donating an electron pair to a Lewis acid

34

STRUCTURE AND BONDING OF SECOND-ROW HYDRIDES

STRUCTURE AND BONDING OF SECOND-ROW HYDRIDES STRUCTURE AND BONDING OF SECOND-ROW HYDRIDES S. M. Blinder* Wolfram Research Inc., Champaign IL, 61820 and University of Michigan, Ann Arbor, MI 48109-1055 *E-mail: sblinder@wolfram.com The simplest hydrides

More information

Experiment 4: The Borane-Amine Adduct. Text #4 CHEM 531

Experiment 4: The Borane-Amine Adduct. Text #4 CHEM 531 Experiment 4: The Borane-Amine Adduct Text #4 CEM 531 Reminders Due this Thursday (2/19): Report: Experiment 3 Electrolytic Synthesis of K 2 S 2 8 Prelab: Experiment 4 Borane-Amine Synthesis Due in two

More information

Reduction of CO2 to Trimethoxyboroxine with BH3 in THF

Reduction of CO2 to Trimethoxyboroxine with BH3 in THF Reduction of CO2 to Trimethoxyboroxine with BH3 in THF Koji Fujiwara, Shogo Yasuda, and Tsutomu Mizuta* Department of Chemistry, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526

More information

Hydrides and Dihydrogen as Ligands: Hydrogenation Catalysis

Hydrides and Dihydrogen as Ligands: Hydrogenation Catalysis Hydrides and Dihydrogen as Ligands: Hydrogenation Catalysis Synthesis of Organometallic Complex Hydrides Reaction of MCO with OH -, H -, or CH 2 CHR 2 M(CO) n + OH - = M(CO) n-1 (COOH) - = HM(CO) n-1 -

More information

From Wikipedia, the free encyclopedia

From Wikipedia, the free encyclopedia Page 1 of 5 Diborane From Wikipedia, the free encyclopedia Diborane is the chemical compound consisting of boron and hydrogen with the formula B 2 H 6. It is a colorless gas at room temperature with a

More information

Chem Selected Aspects of Main Group Chemistry

Chem Selected Aspects of Main Group Chemistry Selected Aspects of Main Group Chemistry For the rest of the course, we will look at some aspects of the chemistry of main group compounds. The basic principles that you have learned concerning atoms,

More information

Synthesis and Characterization of tert-butylamine:borane, a Lewis Acid-Base Adduct

Synthesis and Characterization of tert-butylamine:borane, a Lewis Acid-Base Adduct Synthesis and Characterization of tert-butylamine:borane, a Lewis Acid-Base Adduct Abstract A Lewis acid-base adduct of tert-butylamine and borane was prepared and characterized over the course of two

More information

Hydrides and Dihydrogen as Ligands: Lessons from Organometallic Chemistry. Lecture 9

Hydrides and Dihydrogen as Ligands: Lessons from Organometallic Chemistry. Lecture 9 ydrides and Dihydrogen as Ligands: Lessons from Organometallic Chemistry Lecture 9 Inorganic Chemistry Chapter 1: Figure 10.1 2009 W.. Freeman Synthesis of Organometallic Complex ydrides Reaction of MCO

More information

Lone Pairs: An Electrostatic Viewpoint

Lone Pairs: An Electrostatic Viewpoint S1 Supporting Information Lone Pairs: An Electrostatic Viewpoint Anmol Kumar, Shridhar R. Gadre, * Neetha Mohan and Cherumuttathu H. Suresh * Department of Chemistry, Indian Institute of Technology Kanpur,

More information

sharing or transferring electrons between atoms covalent ionic polar covalent Quantitative description: Quantum mechanics

sharing or transferring electrons between atoms covalent ionic polar covalent Quantitative description: Quantum mechanics Chapter. 3 Chemical Bonding: The Classical Description Two or more atoms approach -> their electrons interact and form new arrangements of electrons with lower total potential energy than isolated atoms

More information

Chem 1102 Semester 1, 2011

Chem 1102 Semester 1, 2011 Chem 1102 Semester 1, 2011 1 Lecture 29-30: Calculations involving K sp and Q (sat solutions of sparingly soluble electrolytes) Common Ion, T, p, solvent effects Enthalpy-entropy interplay Solubility curves

More information

Bonding and Dynamics. Outline Bonding and Dynamics Water Interactions Self Ionization of Water Homework

Bonding and Dynamics. Outline Bonding and Dynamics Water Interactions Self Ionization of Water Homework Liquid Water Structure In liquid water, most of the water molecules have the same local environment as in ice but the long range structure of ice disappears due to motion of the molecules. Bonds between

More information

First Semester Organic Chemistry Five Sets of Practice Exams

First Semester Organic Chemistry Five Sets of Practice Exams First Semester Organic Chemistry Five Sets of Practice Exams 2000-2006 N Cl Prof. J. W. Keller i Cover: Molecular orbital (MO) description of the transition state of the nucleophilic substitution reaction

More information

Paper 3: INORGANIC CHEMISTRY I (Stereochemistry, Metal-Ligand Equilibria and Reaction Mechanism of Transition Metal Complexes) Module 3: dπ-pπ bonding

Paper 3: INORGANIC CHEMISTRY I (Stereochemistry, Metal-Ligand Equilibria and Reaction Mechanism of Transition Metal Complexes) Module 3: dπ-pπ bonding Subject Paper No and Title Module No and Title Module Tag 3, INORGANIC CHEMISTRY I (Stereochemistry, Metal- Ligand Equilibria and Reaction Mechanism of Transition Metal Complexes) 3, dπ-pπ bonding CHE_P3_M3

More information

2. Examining the infrared spectrum of a compound allows us to:

2. Examining the infrared spectrum of a compound allows us to: CHEM 204 2010 Ass. 1 Problem 1. The amount of energy in infrared light corresponds to: a. the amount of energy needed to promote one electron from a bonding to an antibonding molecular orbital b. the amount

More information

C h a p t e r T h r e e: Acids and Bases. 17, 21-Dimethylheptatriacontane, a sex attractant pheromone of the tsetse fly

C h a p t e r T h r e e: Acids and Bases. 17, 21-Dimethylheptatriacontane, a sex attractant pheromone of the tsetse fly C h a p t e r T h r e e: Acids and Bases 17, 21-Dimethylheptatriacontane, a sex attractant pheromone of the tsetse fly CM 321: Summary of Important Concepts YConcepts for Chapter 3: Acids and Bases I.

More information

P-Block Elements (IIIA Group Elements)

P-Block Elements (IIIA Group Elements) P-lock Elements (IIIA Group Elements) Short Answer Questions: 1. Explain the structure of Diborane? Ans. Diborane is an electron deficient compound. In diborane, total number of valence electrons is 12.

More information

Chapter 8. Basic Concepts of Chemical Bonding. Lecture Presentation. John D. Bookstaver St. Charles Community College Cottleville, MO

Chapter 8. Basic Concepts of Chemical Bonding. Lecture Presentation. John D. Bookstaver St. Charles Community College Cottleville, MO Lecture Presentation Chapter 8 of Chemical John D. Bookstaver St. Charles Community College Cottleville, MO Chemical Bonds Three basic types of bonds Ionic Electrostatic attraction between ions. Covalent

More information

EPIC LIGAND SURVEY: METAL ALKYLS - I

EPIC LIGAND SURVEY: METAL ALKYLS - I EPIC LIGAND SURVEY: METAL ALKYLS - I With this post we finally reach the defining ligands of organometallic chemistry, alkyls. Metal alkyls feature a metal-carbon σ bond and are usually actor ligands,

More information

with the larger dimerization energy also exhibits the larger structural changes.

with the larger dimerization energy also exhibits the larger structural changes. A7. Looking at the image and table provided below, it is apparent that the monomer and dimer are structurally almost identical. Although angular and dihedral data were not included, these data are also

More information

Supporting Information for

Supporting Information for Supporting Information for Deuteration of boranes: catalysed versus non-catalysed processes David J. Nelson, Jonathan B. Egbert and Steven P. Nolan* EaStCHEM, School of Chemistry, University of St. Andrews,

More information

Chapter 15: Conjugated Systems, Orbital Symmetry, and UV Spectroscopy

Chapter 15: Conjugated Systems, Orbital Symmetry, and UV Spectroscopy Chapter 15: Conjugated Systems, Orbital Symmetry, and UV Spectroscopy Conjugated unsaturated systems have a p orbital on a carbon adjacent to a double bond The p orbital can come from another double (e.g.

More information

EXAM OF SCIENTIFIC CULTURE MAJOR CHEMISTRY. CO 2 hydrogenation

EXAM OF SCIENTIFIC CULTURE MAJOR CHEMISTRY. CO 2 hydrogenation EXAM OF SCIETIFIC CULTURE MAJOR CHEMISTRY CO 2 hydrogenation One possibility to limit CO 2 imprint on the global warming is to reduce CO 2 to more usable forms such as hydrocarbons. These can serve as

More information

CHEMISTRY XL-14A CHEMICAL BONDS

CHEMISTRY XL-14A CHEMICAL BONDS CHEMISTRY XL-14A CHEMICAL BONDS July 16, 2011 Robert Iafe Office Hours 2 July 18-July 22 Monday: 2:00pm in Room MS-B 3114 Tuesday-Thursday: 3:00pm in Room MS-B 3114 Chapter 2 Overview 3 Ionic Bonds Covalent

More information

Chapter 8 & 9 Concepts of Chemical. Bonding

Chapter 8 & 9 Concepts of Chemical. Bonding Chemistry, The Central Science, 10th edition Theodore L. Brown; H. Eugene LeMay, Jr.; and Bruce E. Bursten Chapter 8 & 9 Concepts of John D. Bookstaver St. Charles Community College St. Peters, MO 2006,

More information

Chapter 13 Conjugated Unsaturated Systems

Chapter 13 Conjugated Unsaturated Systems Chapter 13 Conjugated Unsaturated Systems Introduction Conjugated unsaturated systems have a p orbital on a carbon adjacent to a double bond The p orbital can come from another double or triple bond The

More information

Bonding/Lewis Dots Lecture Page 1 of 12 Date. Bonding. What is Coulomb's Law? Energy Profile: Covalent Bonds. Electronegativity and Linus Pauling

Bonding/Lewis Dots Lecture Page 1 of 12 Date. Bonding. What is Coulomb's Law? Energy Profile: Covalent Bonds. Electronegativity and Linus Pauling Bonding/Lewis Dots Lecture Page 1 of 12 Date Bonding What is Coulomb's Law? Energy Profile: Covalent Bonds Electronegativity and Linus Pauling 2.1 H 1.0 Li 0.9 Na 0.8 K 0.8 Rb 0.7 Cs 0.7 Fr 1.5 Be 1.2

More information

18.1 Intro to Aromatic Compounds

18.1 Intro to Aromatic Compounds 18.1 Intro to Aromatic Compounds AROMATIC compounds or ARENES include benzene and benzene derivatives. Aromatic compounds are quite common. Many aromatic compounds were originally isolated from fragrant

More information

CHEMISTRY 362 Descriptive Inorganic Chemistry. M. Y. Darensbourg. Examination III. April 19, Name:

CHEMISTRY 362 Descriptive Inorganic Chemistry. M. Y. Darensbourg. Examination III. April 19, Name: CHEMISTRY 362 Descriptive Inorganic Chemistry M. Y. Darensbourg Examination III April 19, 2017 Name: An Aggie does not lie, cheat or steal or tolerate (and BTHO) those who do. Signed: Point Group Assignment

More information

PAPER No. : Paper-9, Organic Chemistry-III (Reaction Mechanism-2) MODULE No. : Module-10, Hydroboration Reaction CHEMISTRY

PAPER No. : Paper-9, Organic Chemistry-III (Reaction Mechanism-2) MODULE No. : Module-10, Hydroboration Reaction CHEMISTRY Subject Chemistry Paper No and Title Module No and Title Module Tag Paper-9, Organic Chemistry-III (Reaction Mechanism-2) Module-10, Hydroboration Reaction CHE_P9_M10 TABLE OF CONTENTS 1. Learning Outcomes

More information

Valence bond theory accounts, at least qualitatively, for the stability of the covalent bond in terms of overlapping atomic orbitals.

Valence bond theory accounts, at least qualitatively, for the stability of the covalent bond in terms of overlapping atomic orbitals. Molecular Orbital Theory Valence bond theory accounts, at least qualitatively, for the stability of the covalent bond in terms of overlapping atomic orbitals. Using the concept of hybridization, valence

More information

Metal Hydrides, Alkyls, Aryls, and their Reactions

Metal Hydrides, Alkyls, Aryls, and their Reactions Metal Hydrides, Alkyls, Aryls, and their Reactions A Primer on MO Theory σ-bonding in Organotransition Metal Complexes M-C Bond Energies in Organotransition Metal Complexes Thermodynamic Predictions

More information

Chapter 8 Concepts of Chemical. Bonding

Chapter 8 Concepts of Chemical. Bonding Chemistry, The Central Science, 10th edition Theodore L. Brown; H. Eugene LeMay, Jr.; and Bruce E. Bursten Chapter 8 Concepts of John D. Bookstaver St. Charles Community College St. Peters, MO 2006, Prentice

More information

Chem Spring, 2018 Hour Exam III - Part 2 May 7, 2018

Chem Spring, 2018 Hour Exam III - Part 2 May 7, 2018 Chem 370 - Spring, 2018 Hour Exam III - Part 2 May 7, 2018 Page 1 of 5 3. (40 points; 4 points each) In the spaces below the given information, write balanced chemical equations for ten (10) of the following.

More information

Lecture 22 Organic Chemistry 1

Lecture 22 Organic Chemistry 1 CEM 232 rganic Chemistry I at Chicago Lecture 22 rganic Chemistry 1 Professor Duncan Wardrop April 1, 2010 1 Self Test Question Which starting material could not be used to prepare the tribromide below?

More information

Chapter 9 Bonding. Dr. Sapna Gupta

Chapter 9 Bonding. Dr. Sapna Gupta Chapter 9 Bonding Dr. Sapna Gupta Lewis Dot Symbol Lewis dot symbols is a notation where valence electrons are shown as dots. Draw the electrons symmetrically around the sides (top, bottom, left and right)

More information

6.2 Electron Movements in Brønsted Acid Base Reactions. Copyright 2018 by Nelson Education Limited 1

6.2 Electron Movements in Brønsted Acid Base Reactions. Copyright 2018 by Nelson Education Limited 1 6.2 Electron Movements in Brønsted Acid Base Reactions Copyright 2018 by Nelson Education Limited 1 Recall: Brønsted Acid Base Reactions often simply termed acid base reactions Recall: H + does not actually

More information

CHEM 344 Fall 2016 Spectroscopy and WebMO Exam (75 pts)

CHEM 344 Fall 2016 Spectroscopy and WebMO Exam (75 pts) CHEM 344 Fall 2016 Spectroscopy and WebMO Exam (75 pts) Name: TA Name: Exam Length = 90 min DO NOT REMOVE ANY PAGES FROM THIS EXAM PACKET. Directions for drawing molecules, reactions, and electron-pushing

More information

Valence Bond Theory - Description

Valence Bond Theory - Description Bonding and Molecular Structure - PART 2 - Valence Bond Theory and Hybridization 1. Understand and be able to describe the Valence Bond Theory description of covalent bond formation. 2. Understand and

More information

CHEMISTRY. CHEM 0100 PREPARATION FOR GENERAL CHEMISTRY 3 cr. CHEM 0110 GENERAL CHEMISTRY 1 4 cr. CHEM 0120 GENERAL CHEMISTRY 2 4 cr.

CHEMISTRY. CHEM 0100 PREPARATION FOR GENERAL CHEMISTRY 3 cr. CHEM 0110 GENERAL CHEMISTRY 1 4 cr. CHEM 0120 GENERAL CHEMISTRY 2 4 cr. CHEMISTRY CHEM 0100 PREPARATION FOR GENERAL CHEMISTRY 3 cr. Course for students who intend to take CHEM 0110 later, but whose science and mathematics backgrounds are weak. Through intensive drill, this

More information

Ch 2 Polar Covalent Bonds

Ch 2 Polar Covalent Bonds h 2 Polar ovalent Bonds Two primary bond types: ovalent (shared e -1 s) and Ionic (transferred e -1 s) Ionic bonds can have covalent character, such as with Na:l. An e -1 pair on l -1 can fill the 3s orbital

More information

Group 13 Elements ( Boron Family)

Group 13 Elements ( Boron Family) Unit -11 The p- Block Elements Total no. of groups- 6 ( Group 13-18) General electronic configuration- ns 2 np 1-6 ( except for He) The first member of p-block differs from remaining members of their corresponding

More information

Chapter 9: Chemical Bonding I: Lewis Theory. Lewis Theory: An Overview

Chapter 9: Chemical Bonding I: Lewis Theory. Lewis Theory: An Overview Chapter 9: Chemical Bonding I: Lewis Theory Dr. Chris Kozak Memorial University of ewfoundland, Canada Lewis Theory: An verview Valence e - play a fundamental role in chemical bonding. e - transfer leads

More information

Solution problem 22: Non-Benzoid Aromatic Sytems

Solution problem 22: Non-Benzoid Aromatic Sytems Solution problem 22: on-enzoid Aromatic Sytems 22.1 & 22.2 Each double bond and each heteroatom (, ) with lone pairs donates 2 π- electrons as well as a negative charge. oron or a positive charge does

More information

Recommended Reading: 23, 29 (3rd edition); 22, 29 (4th edition) Ch 102 Problem Set 7 Due: Thursday, June 1 Before Class. Problem 1 (1 points) Part A

Recommended Reading: 23, 29 (3rd edition); 22, 29 (4th edition) Ch 102 Problem Set 7 Due: Thursday, June 1 Before Class. Problem 1 (1 points) Part A Recommended Reading: 23, 29 (3rd edition); 22, 29 (4th edition) Ch 102 Problem Set 7 Due: Thursday, June 1 Before Class Problem 1 (1 points) Part A Kinetics experiments studying the above reaction determined

More information

CHEM 251 (4 credits): Description

CHEM 251 (4 credits): Description CHEM 251 (4 credits): Intermediate Reactions of Nucleophiles and Electrophiles (Reactivity 2) Description: An understanding of chemical reactivity, initiated in Reactivity 1, is further developed based

More information

Problem 1 (4 points) D2h. C2v. Part A.

Problem 1 (4 points) D2h. C2v. Part A. Problem 1 (4 points) In 2004, a bimetallic Zr compound exhibiting side-on N2 binding was reported by Chirik and coworkers (Nature, 2004, 427, pp. 527-530). The crystal structure of this compound was obtained,

More information

Course Goals for CHEM 202

Course Goals for CHEM 202 Course Goals for CHEM 202 Students will use their understanding of chemical bonding and energetics to predict and explain changes in enthalpy, entropy, and free energy for a variety of processes and reactions.

More information

Chapter 2: Acids and Bases

Chapter 2: Acids and Bases 1. Which of the following statements is a correct definition for a Brønsted-Lowry acid? A) Proton acceptor C) Electron pair acceptor B) Electron pair donor D) Proton donor 2. Which of the following statements

More information

Group 13 (3A) - The Elements - Boron

Group 13 (3A) - The Elements - Boron Group 13 (3A) - The Elements - oron! oron is a hard, crystalline, black, semimetal found in borate ores such as borax, Na 2 4 O 5 (OH) 4 @8H 2 O, found in vast deposits in Death Valley, Nevada & California.!

More information

Chapter 9. Chemical Bonding I: Basic Concepts

Chapter 9. Chemical Bonding I: Basic Concepts Chapter 9 Chemical Bonding I: Basic Concepts to: This is the first of two chapters on bonding. Upon completion of Chapter 9, the student should be able 1. Identify the valence electrons for all representative

More information

Talk n Acids & Bases... Lady Dog! Definitions

Talk n Acids & Bases... Lady Dog! Definitions Talk n Acids & Bases... Lady Dog! Definitions So far in this course, we have looked at processes in chemistry that deal with, or are best explained by, ionic salts or molecules. Now we will turn our attention

More information

Acid-Base Strength. Chapter 6. Monday, November 2, 2015

Acid-Base Strength. Chapter 6. Monday, November 2, 2015 Acid-Base Strength Chapter 6 Monday, November 2, 2015 Acid-Base Strength We ve seen that the reactivity of acids and bases can be viewed through the HSAB Model or the EC Model. Both of these models try

More information

Chemistry 101 Chapter 9 CHEMICAL BONDING

Chemistry 101 Chapter 9 CHEMICAL BONDING CHEMICAL BONDING Chemical bonds are strong attractive force that exist between the atoms of a substance. Chemical bonds are commonly classified into 3 types: Ionic Bonding Ionic bonds form between metals

More information

Paper 9: ORGANIC CHEMISTRY-III (Reaction Mechanism-2) Module 16: Reduction by Metal hydrides Part-I

Paper 9: ORGANIC CHEMISTRY-III (Reaction Mechanism-2) Module 16: Reduction by Metal hydrides Part-I Subject Chemistry Paper No and Title Module No and Title Module Tag 9: ORGANIC -III (Reaction Mechanism-2) 16: Reduction by Metal hydrides Part-I CHE_P9_M16 TABLE OF CONTENTS 1. Learning Outcomes 2. Introduction

More information

Chapter 8 Concepts of Chemical. Bonding. Ionic vs Covalent Simulation 3/13/2013. Why do TiCl 4 & TiCl 3 have different colors?

Chapter 8 Concepts of Chemical. Bonding. Ionic vs Covalent Simulation 3/13/2013. Why do TiCl 4 & TiCl 3 have different colors? Chemistry, The Central Science, 10th edition Theodore L. Brown; H. Eugene LeMay, Jr.; and Bruce E. Bursten Chapter 8 Concepts of John D. Bookstaver St. Charles Community College St. Peters, MO 2006, Prentice

More information

Lewis Structures (The Localized Electron Model)

Lewis Structures (The Localized Electron Model) Lewis Structures (The Localized Electron Model) G. N. Lewis 1875-1946 Using electron-dot symbols, G. N. Lewis developed the Localized Electron Model of chemical bonding (1916) in which valence electrons

More information

ATOM O1 ATOM N2 ATOM O2 ATOM N1 ATOM N2 ATOM C

ATOM O1 ATOM N2 ATOM O2 ATOM N1 ATOM N2 ATOM C I. (8 points) ame Page 1 AMPA, shown below, is a synthetic compound that mimics the effects of the neurotransmitter glutamate. When evaluating the structure of this compound, please remember to take into

More information

Homework for Chapter 7 Chem 2310

Homework for Chapter 7 Chem 2310 omework for Chapter 7 Chem 2310 Name I. Introduction to Reactions 1. Explain why the following fits the definition of a chemical reaction. C 3 Na C 3 Na 2. Using the chemical reaction above, give all compounds

More information

CHEMISTRY 241 Section 004 EXAMINATION I TUESDAY, October 11, :30-11:50 AM Professor William P. Dailey NAME: QUESTIONS POINTS SCORE

CHEMISTRY 241 Section 004 EXAMINATION I TUESDAY, October 11, :30-11:50 AM Professor William P. Dailey NAME: QUESTIONS POINTS SCORE CEMISTRY 241 Section 004 EXAMIATI I TUESDAY, ctober 11, 2005 10:30-11:50 AM Professor William P. Dailey AME: Student ID number : QUESTIS PITS SCRE 1. 16 2. 10 3. 12 4. 12 5. 12 6. 8 7. 9 8. 9 9. 15 10.

More information

Chapter 8. Bonding: General Concepts

Chapter 8. Bonding: General Concepts Chapter 8 Bonding: General Concepts Chapter 8 Table of Contents 8.1 Types of Chemical Bonds 8.3 Bond Polarity and Dipole Moments 8.5 Energy Effects in Binary Ionic Compounds 8.6 Partial Ionic Character

More information

Chapter 8 Alkenes and Alkynes II: Addition Reactions. Alkenes are electron rich. Additions to Alkenes

Chapter 8 Alkenes and Alkynes II: Addition Reactions. Alkenes are electron rich. Additions to Alkenes Additions to Alkenes Chapter 8 Alkenes and Alkynes II: Addition Reactions Generally the reaction is exothermic because one p and one s bond are converted to two s bonds Alkenes are electron rich The carbocation

More information

Introduction to Organic Chemistry

Introduction to Organic Chemistry PART 1 Introduction to Organic Chemistry Chapter 1. Structure, bonding, acid-base 2. Nomenclature, physical properties, drawing structure Chapter 1 Structure and Bonding Acids and Bases Electronic structure

More information

Chemistry: The Central Science

Chemistry: The Central Science Chemistry: The Central Science Fourteenth Edition Chapter 8 Basic Concepts of Chemical Bonding Chemical Bonds Three basic types of bonds Ionic Electrostatic attraction between ions Covalent Sharing of

More information

Inorganic Chemistry GARY L. MIESSLER DONALD A. TARR. St. Olaf College Northfield, Minnesota

Inorganic Chemistry GARY L. MIESSLER DONALD A. TARR. St. Olaf College Northfield, Minnesota Inorganic Chemistry GARY L. MIESSLER DONALD A. TARR St. Olaf College Northfield, Minnesota Contents PREFACE xiii 1 INTRODUCTION TO INORGANIC CHEMISTRY 1 1-1 What Is Inorganic Chemistry? 1 1-2 Contrasts

More information

2. Constructive and destructive interference (in phase and out-of-phase interaction) a. Sigma bond is achieved by head on overlap

2. Constructive and destructive interference (in phase and out-of-phase interaction) a. Sigma bond is achieved by head on overlap Discussion #1 Chapter 10 CH102 2018 MOs TF s name: Your name: Discussion Section: 1. Atomic Orbital (s, p, d, f) vs. Molecular Orbital (σ, σ *, NB, π, π *, π nb ) a. Total Number of MO =Total Number of

More information

Supplementary Materials for

Supplementary Materials for advances.sciencemag.org/cgi/content/full/4/10/eaas9319/dc1 Supplementary Materials for Transformation of alcohols to esters promoted by hydrogen bonds using oxygen as the oxidant under metal-free conditions

More information

1. Which of the following is not an ore of aluminium? (a) Bauxite (b) Cryolite (c) Kernite (d) Corundum

1. Which of the following is not an ore of aluminium? (a) Bauxite (b) Cryolite (c) Kernite (d) Corundum NEET Exam Study Material : p-block Elements 1. Which of the following is not an ore of aluminium? Bauxite Cryolite Kernite Corundum 2. The reason behind the lower atomic redius of Ga as compared to Al

More information

9. Hydroboration-Oxidation of Alkenes

9. Hydroboration-Oxidation of Alkenes 9. ydroboration-xidation of Alkenes A. Introduction 1. ydroboration-xidation of Alkenes Alkenes can be oxidized to alcohols using a two-step method of hydroboration followed by oxidation. The first step

More information

Name CHM 4610/5620 Fall 2016 December 15 FINAL EXAMINATION SOLUTIONS

Name CHM 4610/5620 Fall 2016 December 15 FINAL EXAMINATION SOLUTIONS Name CHM 4610/5620 Fall 2016 December 15 FINAL EXAMINATION SOLUTIONS I. (80 points) From the literature... A. The synthesis and properties of copper(ii) complexes with ligands containing phenanthroline

More information

Chapter 8 Concepts of Chemical. Bonding

Chapter 8 Concepts of Chemical. Bonding Chemistry, The Central Science, 11th edition Theodore L. Brown, H. Eugene LeMay, Jr., and Bruce E. Bursten Chapter 8 Concepts of John D. Bookstaver St. Charles Community College Cottleville, MO Bonds Three

More information

A noble gas electronic configuration is highly desirable energetically

A noble gas electronic configuration is highly desirable energetically Chemistry 261 Fall 2018 Lecture 1 Emphasis 1. Organic chemistry is based on the chemistry of carbon, Z = 6, 1s 2 2s 2 2p 2. As you will recall, the 1s 2 electrons are buried, leaving the 2s 2 and 2p 2

More information

ORGANIC CHEMISTRY 307

ORGANIC CHEMISTRY 307 ORGANIC CHEMISTRY 307 CHAPTER 3 LECTURE NOTES R. Boikess II. Principles of Organic Reactions 1. Chemical reactions are the result of bond breaking and bond making. a. Most (but not all) bond making and

More information

Chemical Equilibrium. Introduction

Chemical Equilibrium. Introduction Introduction 1.) Equilibria govern diverse phenomena Protein folding, acid rain action on minerals to aqueous reactions 2.) Chemical equilibrium applies to reactions that can occur in both directions:

More information

Gateway 125,126,130 Fall 2006 Exam 2 KEY p1. Section (circle one): 601 (Colin) 602 (Brannon) 603 (Mali) 604 (Xiaomu)

Gateway 125,126,130 Fall 2006 Exam 2 KEY p1. Section (circle one): 601 (Colin) 602 (Brannon) 603 (Mali) 604 (Xiaomu) Gateway 125,126,130 Fall 2006 Exam 2 KEY p1 Gateway General Chemistry 125/126/130 Exam 2 October 31, 2006 (8:00-10:00pm) Name KEY Section (circle one): 601 (Colin) 602 (Brannon) 603 (Mali) 604 (Xiaomu)

More information

LIGAND DESIGN CARBENES. Fischer carbenes (B) have a heteroatom substituent on the alpha carbon atom.

LIGAND DESIGN CARBENES. Fischer carbenes (B) have a heteroatom substituent on the alpha carbon atom. There are two main classes of carbene ligands Alkylidene (or Schrock carbene) ligands (A) have one or two alkyl or aryl substituents on the alpha carbon atom. Fischer carbenes (B) have a heteroatom substituent

More information

Chapter 13. Conjugated Unsaturated Systems. +,., - Allyl. What is a conjugated system? AllylicChlorination (High Temperature)

Chapter 13. Conjugated Unsaturated Systems. +,., - Allyl. What is a conjugated system? AllylicChlorination (High Temperature) What is a conjugated system? Chapter 13 Conjugated Unsaturated Systems Conjugated unsaturated systems have a p orbital on a carbon adjacent to a double bond The p orbital may be empty (a carbocation The

More information

11, Inorganic Chemistry III (Metal π-complexes and Metal Clusters) Module 32: Polynuclear metal carbonyls and their structure

11, Inorganic Chemistry III (Metal π-complexes and Metal Clusters) Module 32: Polynuclear metal carbonyls and their structure 1 Subject Paper No and Title Module No and Title Module Tag Chemistry 11, Inorganic Chemistry III (Metal π-complexes and Module 32: Polynuclear metal carbonyls and their structure CHE_P11_M32 2 TABLE OF

More information

CHEMISTRY. CHEM 0100 PREPARATION FOR GENERAL CHEMISTRY 3 cr. CHEM 0110 GENERAL CHEMISTRY 1 4 cr. CHEM 0120 GENERAL CHEMISTRY 2 4 cr.

CHEMISTRY. CHEM 0100 PREPARATION FOR GENERAL CHEMISTRY 3 cr. CHEM 0110 GENERAL CHEMISTRY 1 4 cr. CHEM 0120 GENERAL CHEMISTRY 2 4 cr. CHEMISTRY CHEM 0100 PREPARATION FOR GENERAL CHEMISTRY 3 cr. Designed for those students who intend to take chemistry 0110 and 0120, but whose science and mathematical backgrounds are judged by their advisors

More information

Supporting Information

Supporting Information Electronic Supplementary Material (ESI) for RSC Advances. This journal is The Royal Society of Chemistry 205 Supporting Information Synthesis and Structures of N-Arylcyano-β-diketiminate Zinc Complexes

More information

Organic Chemistry(I) Chapter 3

Organic Chemistry(I) Chapter 3 Organic Chemistry(I) Chapter 3 1. Carbon-carbon bonds are not easily broken. Which bond in the following compound would be the least difficult to break homolytically? 2. Which of the following molecules

More information

Hour Examination # 4

Hour Examination # 4 CHEM 346 Organic Chemistry I Fall 2014 Exam # 4 Solutions Key Page 1 of 12 CHEM 346 Organic Chemistry I Fall 2014 Instructor: Paul Bracher Hour Examination # 4 Wednesday, December 3 rd, 2014 6:00 8:00

More information

New class of metallacarboranes incorporating the η 7 -carboranyl ligand*

New class of metallacarboranes incorporating the η 7 -carboranyl ligand* Pure Appl. Chem., Vol. 73, No. 2, pp. 361 365, 2001. 2001 IUPAC New class of metallacarboranes incorporating the η 7 -carboranyl ligand* Zuowei Xie Department of Chemistry, The Chinese University of Hong

More information

CHEM 261 HOME WORK Lecture Topics: MODULE 1: The Basics: Bonding and Molecular Structure Text Sections (N0 1.9, 9-11) Homework: Chapter 1:

CHEM 261 HOME WORK Lecture Topics: MODULE 1: The Basics: Bonding and Molecular Structure Text Sections (N0 1.9, 9-11) Homework: Chapter 1: CHEM 261 HOME WORK Lecture Topics: MODULE 1: The Basics: Bonding and Molecular Structure Atomic Structure - Valence Electrons Chemical Bonds: The Octet Rule - Ionic bond - Covalent bond How to write Lewis

More information

Hour Examination # 2

Hour Examination # 2 CHEM 347 Hour Examination # 2 Spring 2014 Page 1 of 8 CHEM 347 rganic Chemistry II (for Majors) Instructor: Paul J. Bracher Hour Examination # 2 Wednesday, March 5 th, 2014 5:30 8:30 p.m. Student Name

More information

Chapter Eight. p328. Bonding: General Concepts

Chapter Eight. p328. Bonding: General Concepts Chapter Eight p328 Bonding: General Concepts 1 Contents 8-1 Types of Chemical Bonds p330 Coulomb s law The energy of interaction between a pair of ions can be calculated using Coulomb s law: E 19 Q1Q 2

More information

Chapter 4. Reactions of alkenes. Addition reactions Carbocations Selectivity of reactions

Chapter 4. Reactions of alkenes. Addition reactions Carbocations Selectivity of reactions Chapter 4 Reactions of alkenes Addition reactions Carbocations Selectivity of reactions Prob 47 p192. Give the reagents that would be required (including catalyst). Ch 4 #2 Electrophilic addition Ch 4

More information

AN INTRODUCTION TO MOLECULAR ORBITALS

AN INTRODUCTION TO MOLECULAR ORBITALS AN INTRODUCTION TO MOLECULAR ORBITALS by YVES JEAN and FRANCOIS VOLATRON translated and edited by Jeremy Burdett New York Oxford OXFORD UNIVERSITY PRESS 1993 Contents Introduction, xiii I INTRODUCTION

More information

one ν im: transition state saddle point

one ν im: transition state saddle point Hypothetical Potential Energy Surface Ethane conformations Hartree-Fock theory, basis set stationary points all ν s >0: minimum eclipsed one ν im: transition state saddle point multiple ν im: hilltop 1

More information

CHEMISTRY. Chapter 9 The Basics of Chemical Bonding. The Molecular Nature of Matter. Jespersen Brady Hyslop SIXTH EDITION

CHEMISTRY. Chapter 9 The Basics of Chemical Bonding. The Molecular Nature of Matter. Jespersen Brady Hyslop SIXTH EDITION CEMISTRY The Molecular Nature of Matter SIXT EDITIN Jespersen Brady yslop Chapter 9 The Basics of Chemical Bonding Copyright 2012 by John Wiley & Sons, Inc. Chemical Bonds Attractive forces that hold atoms

More information

The energy associated with electrostatic interactions is governed by Coulomb s law:

The energy associated with electrostatic interactions is governed by Coulomb s law: Chapter 8 Concepts of Chemical Bonding Chemical Bonds Three basic types of bonds: Ionic Electrostatic attraction between ions Covalent Sharing of electrons Metallic Metal atoms bonded to several other

More information

Chapter 3 An Introduction to Organic Reactions: Acids and Bases

Chapter 3 An Introduction to Organic Reactions: Acids and Bases There are 4 types of Organic Reactions Chapter 3 An Introduction to Organic Reactions: SUBSTITUTION: ADDITION: X Y + A X A + Y Example Example A B + X Y A B X Y ELIMINATION There are 4 Types of Organic

More information

Nucleophile. Reaction Intermediate. Introduction to Reaction mechanisms. Definitions 2/25/2012

Nucleophile. Reaction Intermediate. Introduction to Reaction mechanisms. Definitions 2/25/2012 Introduction to Reaction mechanisms Definition A reaction mechanism is the step by step sequence of elementary reactions by which overall chemical change occurs. It is also a detailed description of the

More information

Chapter 9 Bonding - 1. Dr. Sapna Gupta

Chapter 9 Bonding - 1. Dr. Sapna Gupta Chapter 9 Bonding - 1 Dr. Sapna Gupta Lewis Dot Symbol Lewis dot symbols is a notation where valence electrons are shown as dots. Draw the electrons symmetrically around the sides (top, bottom, left and

More information

a) 1. O 3 2. (CH 3 ) 2 S

a) 1. O 3 2. (CH 3 ) 2 S Name: 1 Chemistry 250B Final Exam December 19, 2008 Show non-zero formal charges on all atoms for all structures. There are 11 pages. 1. (42 pts) Complete the following reactions. Show the stereochemistry

More information

Chapter 6. Chemical Reactivity and Reaction Mechanisms

Chapter 6. Chemical Reactivity and Reaction Mechanisms hapter 6 hemical Reactivity and Reaction Mechanisms hemical Reactivity Enthalpy A simple chemical reaction can be broken down into bond creating and bond breaking components: A-B + Y-Z A-Y + B-Z A-B A

More information

Aqueous Equilibria: Acids and Bases

Aqueous Equilibria: Acids and Bases Slide 1 Chapter 14 Aqueous Equilibria: Acids and Bases Slide 2 Acid Base Concepts 01 Arrhenius Acid: A substance which dissociates to form hydrogen ions (H + ) in solution. HA(aq) H + (aq) + A (aq) Arrhenius

More information

CHEM 109A Organic Chemistry

CHEM 109A Organic Chemistry CHEM 109A Organic Chemistry https://labs.chem.ucsb.edu/zakarian/armen/courses.html Chapter 2 Acids and Bases Central to Understanding Organic Chemistry Draw the conjugate acid of each of the following:

More information

Chapter 14: Conjugated Dienes

Chapter 14: Conjugated Dienes Chapter 14: Conjugated Dienes Coverage: 1. Conjugated vs Nonconjugated dienes and Stability 2. MO picture of 1,3-butadiene 3. Electrophilic addition to Dienes 4. Kinetic vs Thermodynamic Control 5. Diels-Alder

More information

Organic Chemistry II (CHE ) Examination I February 11, Name (Print legibly): Key. Student ID#:

Organic Chemistry II (CHE ) Examination I February 11, Name (Print legibly): Key. Student ID#: rganic hemistry II (HE 232-001) Examination I February 11, 2009 Name (Print legibly): Key (last) (first) Student ID#: PLEASE observe the following: You are allowed to have scratch paper (provided by me),

More information