A Study of thethermal C-C and C-H Bond Cleavage in the Aromatic Molecules: Acenaphthene and Acenaphthylene

Similar documents
UNIVERSITY OF MALTA DEPARTMENT OF CHEMISTRY. CH237 - Chemical Thermodynamics and Kinetics. Tutorial Sheet VIII

Driving Cycle Construction of City Road for Hybrid Bus Based on Markov Process Deng Pan1, a, Fengchun Sun1,b*, Hongwen He1, c, Jiankun Peng1, d

Emission of K -, L - and M - Auger Electrons from Cu Atoms. Abstract

13: Diffusion in 2 Energy Groups

Vibrational Relaxation of HF (v=3) + CO

Module 2: Rate Law & Stoichiomtery (Chapter 3, Fogler)

The Hydrolysis of Amides and the Proficiency of Amidohydrolases. The Burden Borne by k w

The Predom module. Predom calculates and plots isothermal 1-, 2- and 3-metal predominance area diagrams. Predom accesses only compound databases.

CHEMICAL KINETICS

CBE 291b - Computation And Optimization For Engineers

FTIR and Mass-Spectrometric Measurements of the Rate Constant for the C 6 H 5 + H 2 Reaction

Purpose of the experiment

General Model of Diffusion of Interstitial Oxygen in Silicon and Germanium Crystals

KINEMATICS OF RIGID BODIES

New data structures to reduce data size and search time

Minimum Energy State of Plasmas with an Internal Transport Barrier

13.4 Work done by Constant Forces

1 ST ROUND, SOLUTIONS

Determination of the activation energy of silicone rubbers using different kinetic analysis methods

A Modified ADM for Solving Systems of Linear Fredholm Integral Equations of the Second Kind

DETERMINATION OF MECHANICAL PROPERTIES OF NANOSTRUCTURES WITH COMPLEX CRYSTAL LATTICE USING MOMENT INTERACTION AT MICROSCALE

New Expansion and Infinite Series

The Moving Center of Mass of a Leaking Bob

Lesson 1: Quadratic Equations

MIXED MODELS (Sections ) I) In the unrestricted model, interactions are treated as in the random effects model:

Physics 3323, Fall 2016 Problem Set 7 due Oct 14, 2016

Convert the NFA into DFA

Rates of chemical reactions

Summarizing Remarks λ λ λ. : equilibrium geometry

Jack Simons, Henry Eyring Scientist and Professor Chemistry Department University of Utah

Physics 201 Lab 3: Measurement of Earth s local gravitational field I Data Acquisition and Preliminary Analysis Dr. Timothy C. Black Summer I, 2018

Appendix 3, Rises and runs, slopes and sums: tools from calculus

4.4 Areas, Integrals and Antiderivatives

Theoretical Study of the NH 2 + C 2 H 2 Reaction

- 5 - TEST 2. This test is on the final sections of this session's syllabus and. should be attempted by all students.

p-adic Egyptian Fractions

Problem Set 3 Solutions

Physics 202H - Introductory Quantum Physics I Homework #08 - Solutions Fall 2004 Due 5:01 PM, Monday 2004/11/15

Density functional study of ethylene adsorption on palladium clusters Fahmi, A.; van Santen, R.A.

Ch. 24 Molecular Reaction Dynamics 1. Collision Theory 2. Diffusion-Controlled Reaction

CS 330 Formal Methods and Models Dana Richards, George Mason University, Spring 2016 Quiz Solutions

Thermal Diffusivity. Paul Hughes. Department of Physics and Astronomy The University of Manchester Manchester M13 9PL. Second Year Laboratory Report

Energy (kcal mol -1 ) Force (kcal mol -1 Å -1 ) Pore axis (Å) Mixed Mo-only S-only Graphene

Density Functional and Ab Initio Study of Cr(CO) n (n ) 1-6) Complexes

THERMAL EXPANSION COEFFICIENT OF WATER FOR VOLUMETRIC CALIBRATION

CS:4330 Theory of Computation Spring Regular Languages. Equivalences between Finite automata and REs. Haniel Barbosa

State space systems analysis (continued) Stability. A. Definitions A system is said to be Asymptotically Stable (AS) when it satisfies

Shear and torsion interaction of hollow core slabs

The GlcN6P cofactor plays multiple catalytic roles in the glms ribozyme

Unit #9 : Definite Integral Properties; Fundamental Theorem of Calculus

I1 = I2 I1 = I2 + I3 I1 + I2 = I3 + I4 I 3

The final exam will take place on Friday May 11th from 8am 11am in Evans room 60.

Name Solutions to Test 3 November 8, 2017

CONTRIBUTION TO THE EXTENDED DYNAMIC PLANE SOURCE METHOD

Exam 2, Mathematics 4701, Section ETY6 6:05 pm 7:40 pm, March 31, 2016, IH-1105 Instructor: Attila Máté 1

1 Online Learning and Regret Minimization

IMPOSSIBLE NAVIGATION

INTRODUCTION. The three general approaches to the solution of kinetics problems are:

Intro to Nuclear and Particle Physics (5110)

University of Washington Department of Chemistry Chemistry 453 Winter Quarter 2009

NUMERICAL INTEGRATION. The inverse process to differentiation in calculus is integration. Mathematically, integration is represented by.

Math 8 Winter 2015 Applications of Integration

SOLUTION OF QUADRATIC NONLINEAR PROBLEMS WITH MULTIPLE SCALES LINDSTEDT-POINCARE METHOD. Mehmet Pakdemirli and Gözde Sarı

9-1 (a) A weak electrolyte only partially ionizes when dissolved in water. NaHCO 3 is an

Problem 22: Buffer solutions 1. The equilibrium, which governs the concentration of H + within the solution is HCOOH! HCOO + H + + Hence K

Student Activity 3: Single Factor ANOVA

Role of Missing Carotenoid in Reducing the Fluorescence of Single Monomeric Photosystem II Core Complexes

1.9 C 2 inner variations

FABER Formal Languages, Automata and Models of Computation

PHYS Summer Professor Caillault Homework Solutions. Chapter 2

Math 520 Final Exam Topic Outline Sections 1 3 (Xiao/Dumas/Liaw) Spring 2008

Bong Rae Cho and Sang Yong Pyun,*

Potential Energy Surfaces of SimOn Cluster Formation and Isomerization

Linear and Non-linear Feedback Control Strategies for a 4D Hyperchaotic System

Goals: Determine how to calculate the area described by a function. Define the definite integral. Explore the relationship between the definite

99/105 Comparison of OrcaFlex with standard theoretical results

On the Importance of Prereactive Complexes in Molecule-Radical Reactions: Hydrogen Abstraction from Aldehydes by OH

Acceptance Sampling by Attributes

The steps of the hypothesis test

Classical Mechanics. From Molecular to Con/nuum Physics I WS 11/12 Emiliano Ippoli/ October, 2011

Organic Acids - Carboxylic Acids

Chemisorption and Decomposition of Thiophene and Furan on the Si(100)-2 1 Surface: A Quantum Chemical Study

Simplified Robotics Joint-Space Trajectory Generation with Via Point using a Single Polynomial

For convenience, we rewrite m2 s m2 = m m m ; where m is repeted m times. Since xyz = m m m nd jxyj»m, we hve tht the string y is substring of the fir

Higher Checklist (Unit 3) Higher Checklist (Unit 3) Vectors

DIRECT CURRENT CIRCUITS

1. Weak acids. For a weak acid HA, there is less than 100% dissociation to ions. The B-L equilibrium is:

Hydronium or hydroxide ions can also be produced by a reaction of certain substances with water:

Lecture 6: Diffusion and Reaction kinetics

Preliminary Design of Semi-Batch Reactor for Synthesis 1,3-Dichloro-2-Propanol Using Aspen Plus

Chapter 4 Contravariance, Covariance, and Spacetime Diagrams

AUTOMATA AND LANGUAGES. Definition 1.5: Finite Automaton

Chem 130 Third Exam. Total /100

Fig. 1. Open-Loop and Closed-Loop Systems with Plant Variations

ADVANCEMENT OF THE CLOSELY COUPLED PROBES POTENTIAL DROP TECHNIQUE FOR NDE OF SURFACE CRACKS

3.2.2 Kinetics. Maxwell Boltzmann distribution. 128 minutes. 128 marks. Page 1 of 12

Quantum Physics II (8.05) Fall 2013 Assignment 2

Acids and Bases. H + (aq) + Cl - (aq) 100 molecules HCl 100 H+ ions Cl- ions 100% HCl molecules dissociate in water.

Parse trees, ambiguity, and Chomsky normal form

Credibility Hypothesis Testing of Fuzzy Triangular Distributions

Transcription:

JJC Jordn Journl of Chemistry Vol. 7 No.4, 2012, pp. 329-337 A Study of thetherml C-C nd C-H Bond Clevge in the Aromtic Molecules: Acenphthene nd Acenphthylene Muthn Shnshl nd Hssn H. Abdullh Deprtment of Chemistry, College of Science, University of Bghdd, Jdirriy, Bghdd, Irq. Received on April 23, 2012 Accepted on Oct. 15, 2012 Abstrct The therml decomposition of the two romtic hydrocrbons Acenphthene nd Acenphthylene is studied pplying the open shell semiempiricl (Hrtree-Fock) PM3 method. In this study ll internl coordintes were vried, except the coordinte chosen to describe the rection. All possible intermedites were considered on describing the rection scheme. The preferred rection pth ws ssigned on the bsis of compring the ctivtion energies of the different pths. The tretment shows tht the preferred rection pths led to the formtion of cetylene s finl product. This result is similr, but in the reverse direction, to former theoreticl nd experimentl results reported in the literture, which showed tht cetylene is bsic building unit within the nturl formtion rections of Polycyclic Aromtic Hydrocrbon molecules. Keywords: Acenphthene; Acenphthylene; Decomposition; PM3. Introduction Due to its importnce for the chemicl nd petrochemicl industry [1] the therml decomposition of polycyclic romtic hydrocrbons (PAH) ws subject of vrious theoreticl nd experimentl studies [1-8]. Ren et l. [3] investigted the rections s initited by insitu H toms, produced from the therml decomposition of methnol t elevted tempertures. The isolted products were formed through recombintion of the formed rdicls with the H toms. Theoreticl, quntum mechnicl studies were crried out for the decomposition rections too [4-7]. On the other hnd, theoreticl s well s experimentl studies were done for the ddition rections of C 2 H 2 to smll romtic hydrocrbons to yield higher PAH molecules nd soot [8-11]. In this pper we report theoreticl study for the therml decomposition rections of two romtic hydrocrbons, Acenphthene nd Acenphthylene. Corresponding uthor: e- mil: mshnshl2003@yhoo.com In prt from the PhD thesis of H. H. A., Bghdd University, 2004. 329

Acenphthylene Acenphthene Method of tretment The semiempiricl PM3 [12] method, in the open shell nd unrestricted form, ws pplied s it is progrmmed within the MOPAC progrm system [13]. For the study of bond breking rection, PM3 clcultions were done for the molecule with vrious lengths of the bond. These bond lengths were kept constnt while the other (3N-5) internl coordintes were vried. The energy vlues were plotted then ginst the "frozen" bond length vlues to yield the required rection pth. It ws possible then to ssign grphiclly the trnsition stte nd the products of the rection (Figure 1). This type of clcultion ws repeted for ll the succeeding rection intermedites iming towrds the smllest cceptble rection product. The cceptnce of rection product is judged on the bsis of the ctivtion energy required for its genertion. Accordingly, the described rection pths in this work represent summry of big number of PM3 clcultions (hundres) done for the rupture of ll the bonds in ech "intermedite". Figure 1: PM3 clculted rection pth (dotted line) of the C 1 C 8 bond rupture rection of C 2- cenphthyl rdicl 330

As seen in figure 1 the rection energy is clculted s the difference; H rect = H f, product - H f,rectnt nd considering the chnge in entropy being negligible within the rection, S rect. 0.0, H rect E rect. Results nd discussion For the choice of the initil rection step, it ws necessry to evlute the ctivtion nd rection energies ( E ) for the rupture of the different C-C nd C-H bonds s clculted ccording to the working scheme followed in this pper. The choice of E for the discussion of the rection mechnism is cceptble here for two resons; - ll clevge rections re endothermic nd thus follow the Hmmond postulte i.e. their trnsition sttes should be product like in structure; nd b- they follow the Evns-Poliny principle, i.e. their ctivtion energies exhibit similr ordering in mgnitudes s the finl products. Tble 1: PM3 clculted ctivtion energies for the bond rupture rections in cenphthylene. Bond(s) E (kcl/mol) C 2 -H 10 104.895 C 3 -H 11 97.507 C 4 -H 12 96.032 C 5 -H 13 91.372 C 1 -C 2 91.650 C 2 -C 2 75.686 C 2 -C 8b 150.983 C 2 -C 3 105.074 C 3 -C 4 95.784 C 4 -C 5 99.617 C 5 -C 5 217.067 C 2 -C 2 + C 1 -C 8 123.078 C 2 -C 3 + C 4 -C 5 229.205 C 2 -C 3 + C 5 -C 5 228.172 331

Inspecting the vlues of tble 1, it is seen tht the smllest required ctivtion energy E (75.69kcl/mol) belongs to the C 2 -C 2 bond, followed by those for the bonds C 5 -H 13 nd C 1 -C 2. Scheme 1 shows the clculted 3 rection pths with lest ctivtion energies for bond rupture rections of cenphthylene. Scheme 2 shows two other pths, of lower priority, considered for the sme rection. III I II Scheme 1 332

Scheme 2 The two schemes, combined together, show tht, ccording to the E vlues, nd in order for the rection to proceed, the competition is expected to be mong pth I ( E = 91.37 kcl/mol) nd pth IV ( E = 75.68 kcl/mol). The initil step for pth I is the rupture of C-H bond,tht for pth IV is the rupture of n essentil C-C single bond.the second step for pth I is the rupture of C-C bond ( E = 53.07kcl/mol). Comprison of the rection pths revels tht pth IV includes the steps with the smllest ctivtion energy vlues followed by the pth I. In both cses the rection proceeds towrds the elimintion of C 2 H 2 (cetylenic) frgment. The role of C 2 H 2 s templte in these rections is similr, but in the reverse direction, to tht of the formtion rections of higher PAH's nd soot s suggested by Frenklch et l. [7,8 ] nd experimentl studies [11]. Inspection of ll 5 rection pths shows tht the formtion of C 2 H 2 frgment is preferred due to the smller E vlues. Other formed cyclic romtic compounds re either benzene or nphthlene derivtives. In the presence of H 2, s ws inspected by Ren's experiments [3] one should expect the following rection products (Tble2 ). 333

Tble 2.Expected romtic products to be formed from the therml degrdtion of cenphthylene in the presence of H 2. No. Compound H f (kcl / mol) 1 Acenphthylene 72.745 2 Nphthlene 39.089 3 1-vinyl-nphthlene 54.722 4 1-methylene-7-vinyl-1H-indene 79.506 5 1-methylene-1H-indene 63.755 6 1,2-divinyl-benzene 54.819 7 1-vinyl-benzene 39.089 8 Butdiene 30.989 9 1-but-1,3-dienyl-3-vinyl-benzene 70.124 10 Benzene 23.386 Therml decomposition of Acenphthene molecule. In similr tretment, the ctivtion energies of the therml bond breking rections were clculted for the different bonds in cenphthene molecule. Tble 3 shows the clculted E vlues for the different C-H nd C-C bonds of the molecule. Apprent from the vlues of tble 3 re the reltively low vlues of ctivtion energies for the clevge of the bonds C 1 -C 2 (51.14kcl/mol) nd C 2 -H 11 (67.32kcl/mol). The clculted E vlues for the other bonds re exceedingly higher, 92.49kcl/mol (C 5 - H 15 ) t lest. Accordingly, the discussion of the decomposition rection pth hs to be limited to those pths tht strt with the clevge of either of these two bonds; i.e. pth I for the C 2 -H 11 nd pth II for the C 1 -C 2 bond. Scheme 3 shows the rection strting with the clevge of the C 2 -H 11 bond. Tble 3: PM3 clculted ctivtion energies for the bond rupture rections in cenphthene. Bond(s) E (kcl/mol) C 2 -H 11 67.220 C 3 -H 13 96.442 C 4 -H 14 96.151 C 5 -H 15 92.486 C 1 -C 2 51.139 C 2 -C 2 210.908 C 2 -C 8b 157.000 C 2 -C 3 128.682 C 3 -C 4 217.920 C 4 -C 5 102.602 C 5 -C 5 223.700 C 2 -C 2 + C 1 -C 8 122.386 C 3 -C 4 + C 5 -C 5 143.365 C 2 -C 3 + C 4 -C 5 154.820 C 2 -C 3 + C 5 -C 5 236.185 334

Scheme 3 In this scheme one my follow the pth with the lest E vlues (recognized with the bold color). Obviously the route with the successive E vlues; 67.22kcl/mol, 61.29kcl/mol, 76.84kcl/mol nd 46.33kcl/mol is of higher priority. It leds to the formtion of C 2 H 2 nd nphthylbirdicl.the other brnch of the "rection tree" includes higher ctivtion energy vlues, such s 163.64kcl/mol, 87.79kcl/mol nd 81.16kcl/mol, nd is to be neglected. Scheme 4 shows the 2 nd probble rection pth strting with clevge of the C 1 - C 2 bond (E =51.14kcl/mol). 335

Scheme 4 It includes n E vlue of 176.84kcl/mol which is higher thn ny vlue in pth I. For this reson, this pth should be eliminted from the discussion of the mechnism of this decomposition rection. Pth I is left then s the only cceptble description of the rection mechnism. 336

Conclusion According to the PM3 (semiempiricl H-F) tretment, the decomposition of the romtic cenphhene nd cenphthylene molecules proceeds towrds the formtion of n cetylenic frgment nd n romtic molecule. In this rection, the cetylenic frgment constitutes the bsic templte, similr to the therml formtion of PAH's nd soot in which cetylene forms the bsic templte too, s found in former works, both theoreticlly nd experimentlly. References [1] Hrvey, R.G. "Polycyclic Aromtic Hydrocrbons; Chemistry nd Cr-cenogenicity", Cmbridge University Press, Cmbridge, 1991. [2] Hrvey, R.G. "Polycyclic Aromtic Hydrocrbons", Wiley-VCH, New York, 1997. [3] Ren, R.-L.; Itoh, H.; Ouchi, K., Fuel, 1989, 68, 58-65. [4] Ninomiy, Y.; Dong, Z.; Suzuki, Z. Y., Fuel, 2000, 79, 449-457. [5] Ling, Y.; Mrtin, J. M. L.; Lifschitz, C., J. Phys. Chem. A, 1997, 101, 219-226. [6] Mebel, A. M., Lin, S. H., Yng, X. M.; Lee,Y. T., J. Phys. Chem A, 1997, 101, 6781-6789. [7] My, K.; Dopperich, S.; Furd, F.; Untereiner, B. V.; Ahlrichs, R., Phys. Chem. Chem. Phys., 2000, 2, 5084-5088. [8] Frenklch, M.; Wng, H., Proc. Combust. Inst., 1991, 23, 1559-1566. [9] Frenklch, M.; Moritry, N. W.; Brown, N., Proc. Combust. Inst., 1998, 27, 1655-1661. [10] Untereiner, B. V.; Sierk, M.; Ahlrichs, R., Phys. Chem. Chem. Phys., 2004, 6, 4377-4384. [11] Böhm, H.; Jnder, H., Phys. Chem. Chem. Phys., 1999, 1, 3775-3781. [12] Dewr, M. J. S.; Grdy, G. L.; Stewrt, J. J. P., J. Am. Chem. Soc., 1984 106, 6771-6773; Dewr, M. J. S; Zoebisch, E. G.; Hely, E. F., J. Am. Chem. Soc., 1985, 107, 3902-3909; Dewr, M. J. S.; Reynolds, C. H., J. Comp. Chem., 1986, 2, 140-143. [13] Stewrt, J. J. P., J. Comp. Chem., 1989, 10, 209-220; Stewrt, J. J. P., J. Comp. Chem., 1989, 10, 221-264. 337