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Enthalpy and Bond Dissociation Energy Values for Tri-, Tetra-, and Penta-Fluorinated Ethanol’s and its Radicals: CH3−xFxCH2OH, CH3CH2−xFxOH, CH3-xFxCH2−xFxOH using Gaussian M-062x/6-31+g (d,p) Method at Standard Conditions

Hebah M Abdel-Wahab* and  Joseph W Bozzelli

Department of Chemistry and Environmental Science, New Jersey Institute of Technology, New Jersey, United States

*Corresponding Author:
Hebah M Abdel-Wahab
Department of Chemistry and Environmental Science,
New Jersey Institute of Technology,
New Jersey,
United States,
Tel: 9734622745;
Email: wahabta@gmail.com

Received: 16-Jun-2022, Manuscript No. JCHEM-22-66743; Editor assigned: 20-Jun-2022, Pre QC No. JCHEM-22-66743 (PQ); Reviewed: 05-Jul-2022, QC No. JCHEM-22-66743; Revised: 17-Aug-2022, Manuscript No. JCHEM-22-66743 (R); Published: 24-Aug-2022, DOI: 10.4172/2319-9849.11.7.007

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Abstract

Structures and thermochemical properties of Tri-, Tetra-, and Penta-Fluorinated Ethanol’s and its Radicals were determined by the Gaussian M-062 x/6-31+g (d,p) calculation : Enthalpies of formation for 18 fluorinated ethanol and some radicals were calculated with a popular ab initio and density functional theory methods: the Gaussian M-062 x/6-31+g (d,p) via several series of isodesmic reactions. Bond dissociation energies for these fluorinated ethanol’s and its radicals were also calculated.

Keywords

Thermochemical; Dissociation; Nucleophiles; Epoxidation; Organic synthesis; Electrophilic reactions; Hydrocarbons

Introduction

Fluorinated alcohols are known to be used in the organic synthesis industry. They have strong hydrogen bonding donor character, and they are strong nucleophiles which allow organic reactions to occur without the using of a catalyst. Fluorinated alcohols have been used as solvents in epoxidation reactions, annulation reactions, nucleophilic substitution reactions, electrophilic reactions, and functionalization of multiple bonds [1].

Fluorinated alcohols are excellent solvents of proteins, peptides, and other organic compounds due to its physicochemical properties. Fluoro alcohols, like other alcohols, can alter lipid bilayer properties and stability, and protein function [2].

Most Halogenated hydrocarbons don’t exist naturally in the environment and are synthetically produced. The major source of halogenated hydrocarbons to the atmosphere is agriculture. Crop spraying introduces halogenated hydrocarbons to the environment entering through adsorption and deposition onto airborne particles or directly entering the aquatic system. Some halogenated hydrocarbons, PCBs, furans, and dioxins are by products, industrial waste that would unintentionally enter the atmosphere [3].

The onset a temperature for energetic materials in the calorimetric measurements has been roughly predicted using molecular orbital calculations of bond dissociation energies.

Stability and reactivity of chemical compounds can be explained using bond dissociation energies values. Standard enthalpies of formation estimated using semi empirical MO calculations, MOPAC-PM7 package has been used previously to derive bond dissociation energy values for chemical compounds [4].

Bond Dissociation Energies (BDEs) values for some inorganic compounds, lanthanide selenides and sulfides were measured in 2021 using resonant two photon ionization spectroscopy. The predissociation thresholds were found to be the BDE values for these molecules. The 0K gaseous heat of formation, ΔfH°K for each molecule was also reported using this method [5].

METHODOLOGY

The amount of energy used to break a mole of covalently bonded gas molecule to pair of radicals is the bond dissociation energy. The units used for the bond dissociation energy is commonly kJ/mol. Covalent bonds can be broken heterolytically or homolytically. The heterolytic breaking of a covalent bond would result in the pair of electrons going to only one atom, either A or B.

C−D→C+ + D: − or C−D→C:− + D+. The homolytic breaking of a covalent bond on the other hand would result in one electron staying with each atom,.A-B→A•+B•. Bond dissociation energy can be calculated for molecules as the difference in enthalpy of formation of products and reactants. Bond dissociation energy is a state function, as it doesn’t depend on the mechanism or pathway on how bonds form or break. Energy of chemical reactions can be assessed using values for the bond dissociation energy. There are some systematic trends for the bond dissociation values; bonds dissociation energy varies with hybridization. For example, sp3 hybridized carbons in hydrocarbons have smaller bond dissociation values compared to sp2 hybridized carbons. The longer and weaker sp3 hybridized bonds are easier to break compared the shorter and the stronger sp2 and sp hybridized bond (double and triple bonds). Among sp3 hybridized bonds, bond dissociation values depend on its position, where it’s on a primary, secondary or tertiary carbon. Methane has the strongest C-H bond with highest bond dissociation values, following C-H bonds on primary carbons, following C-H bonds on secondary carbons, following C-H bonds on tertiary carbons [6].

Energetics of chemical processes can be assessed using bond dissociation energy values. Hess’s Law has been used in the past and is currently being used to estimate reaction enthalpies by combining bond. Dissociation energies of bonds formed and bond dissociation energies of bonds broken. The energy change when forming a mole of compound from its component elements is called the enthalpy of formation, ΔHf. If heat is released when the elements combine to form the compound, enthalpy of formation would have a negative sign. If heat is absorbed when the elements combine to form the compound, enthalpy of formation would have a positive sign. A value of Enthalpy of formation is dependent upon temperature, pressure and physical states of reactants and products in the chemical reaction. Standard enthalpy of formation (ΔH°f,) is the enthalpy of formation at standard conditions; 1 atm pressure, 25°C, and 1 M aqueous solution concentration. Any element in its most stable form has a standard enthalpy of formation has a value of zero. Tabulated enthalpy of formation values can be used to calculate standard enthalpy of any reaction who’s standard enthalpy of formation values are well known [7].

equation

The heat involved in chemical or physical change at constant temperature and pressure is enthalpy of reaction (H), and it’s a thermodynamic quantity, q=ΔH [8].

Molecules, ions, or atoms containing at least an unpaired electron in the valance shell are called free radicals. Free radicals are chemically reactive, unstable, and mostly short lived. Heat, electrolysis, electrical discharge, and ionizing radiation can generate free radicals. Free radicals are intermediates in many chemical reactions. Free radicals are important in atmospheric chemistry, combustion, plasma chemistry, polymerization, biochemistry, and they are important in many chemical reactions [9].

In 2016 Hang Wang studied the thermodynamic properties of fluorinated methanol using CBS-QB3, M06-2X, WB97X, W1U, M06, B3LYP, CBS-APNO and G4 Calculations. Small standard deviation suggests good error cancellation of work reactions and accuracy. Small values for standard deviations was obtained in calculations using M06-2x/6-31+g (d,p) Gaussian method; it is an accurate method to calculate Enthalpy of fluorinated alcohols, it shows the second smallest standard deviation after CBS-QB3 method of calculation. Enthalpies of fluorinated methanol were studies in the past [10].

Halogenated compounds have low reactivity, are highly stable, and are used in industry. They are of concern to the environment due to their persistence in the environment, and its widespread use. Their thermochemical properties must be studied in order to understand the reduction and oxidation reactions involving these molecules [11].

Computational method

The global hybrid meta-GGA density functional approximation, GGA, DFT Gaussian M-062x/6-31+g (d,p) method of calculation has been used to initially analyze frequencies, optimized structures, and thermo energies of the molecules studied. In the GGA, generalized gradient approximation, the density functional depends on the down and up spin densities and the reduced gradient. In the meta GGA, the functional also depends on the up and down spin kinetic energy densities. A hybrid GGA is a combination of GGA with Hartree Fock exchange. The hybrid meta GGA is a combination of meta GGA with Hartree-Fock exchange [12].

A series of Isodesmic Reactions and composite calculations were employed to calculate enthalpy of formation of tri-, terta-, and penta-fluorinated ethanols. Calculations were performed using Gaussian 16 program. All reported calculations of enthalpy of formation are for standard conditions of 1 atm pressure and 298K. The Gaussian M-062 x/6-31+g (d,p) level of calculation has been used for this study as this method of calculation were successfully employed in the past when applied to fluoro hydrocarbons 6 with small reported standard deviations values [13] .
The standard deviation is calculated using the following formula [14].

equation

Where, Xi is the mean; the average of the numbers, μ is the actual numbers to be calculated the standard deviation of, and

equation

Isodesmic and isogyric reaction

The Gaussian M-062x/6-31+g (d,p) method of calculation has been used to calculate the enthalpy of formation of tri-, terta-, and penta fluorinated ethanol’s and its radicals. Work reactions and reference species have been used to calculate enthalpy of formation of fluorinated ethanol’s using this method.

To cancel any systematic error in the molecular orbital calculations using this method, the number of each type of bond must be conserved in each isodesmic reactions. By the careful choice of the isodesmic reactions, all enthalpies of formation calculations are allowed to accuracies close to experimental values.

The ΔHf298°K values of all reference species but the fluoroethanols are known, the ΔHf298°K of the target species fluoro ethanols, is obtained from this data and the calculated ΔHrxn, 298°. ΔHf298°K calculated using two different reference molecules are within ± (0 to 0.60 Kcal mol-1).

Reference species

Table 1 lists the standard enthalpy of formation for the reference species used in isodesmic reactions with their uncertainties. Table 2 provides all calculated standard enthalpy of formation values, ΔfHo (298) for of tri-, terta-, and penta fluorinated ethanol’s and its radicals [15-16].

Species ΔfHO (298) Species ΔfHO (298)
CH3F -56.54 ± 0.07a
-56.62 ± 0.48h
CH3OOH
CH3CH2OOH
-30.96 ± 0.67b
-38.94 ± 0.81b
CH3CH2F -65.42 ± 1.11a CH3CH2CH2OOH -44.03 ± 0.67b
CH3CH2CH2F -70.24 ± 1.30a CH3OO•  2.37 ± 1.24b
CH2F2 -108.07 ± 1.46a
-107.67 ± 0.48h
CH3CH2OO• CH3CH2CH2OO• -6.19 ± 0.92b
-11.35 ± 1.24b
CH3CHF2 -120.87 ± 1.62a CH4 -17.81 ± 0.01c
CH3CH2CHF2 -125.82 ± 1.65a CH3CH3 -20.05 ± 0.04c
CHF3 -166.71 ± 1.97h
-166.09 ± 0.48h
CH3CH2CH3 CH3CH2CH2CH3 -25.01 ± 0.06i
-30.07 ± 0.08i
CH3CF3 -180.51 ± 2.05a CH3O•  5.15 ± 0.08 c
CH3CH2CF3 -185.48 ± 2.15a CH3CH2O• -3.01d
CH3• 34.98 ± 0.02c OH  8.96 ± 0.01c
CH3CH2 28.65 ± 0.07c CH3OH -47.97 ± 0.04c
CH3CH2CH2 24.21 ± 0.24gj
24.18i
CH3CH2OH -56.07 ± 0.05i
H 52.10c HOO•  2.94cj
O 59.57c HOOH -32.39 ± 0.04fj
-32.37i
CF4 -223.15 CHF2CHF2 -212.13
CF3CH2CHF2 -286.18 CF3CHF2 -267.79

Table 1. Reference Species in the Isodesmic reactions standard enthalpy of formation values (kcal mol-1) 15.

RESULTS AND DISCUSSION

Standard enthalpy values

Isodesmic work reactions from M-062x/6-31+g (d,p) method of calculation has been utilized to perform calculation of standard enthalpy of formations for tri-, tertra-, and penta- fluorinated ethanol’s and some radicals. Reference species and their standard enthalpy of formation along with their uncertainties have been used in all isodesmic work reactions. The calculated sum of thermal enthalpies using the Gaussian M06-2x/6-31+g (d,p) Level of Theory for all target fluorinated ethanol’s, their radicals, and for reference species has also been used (Figure 1).

JCHEM-Cal

Figure 1: Calculated the Number of fluorine atoms per molecules.

The standard enthalpy of formation in kcal mol−1 for all reference species are listed in Table 1. Standard deviation values 14 are listed for all calculated Gaussian M06-2x/6-31+g (d,p) standard enthalpy of formations values. The calculated Gaussian M06-2x/6-31+g (d,p) standard enthalpy of formation for tri-, tertra-, and penta fluorinated ethanol’s and some radicals are listed Table 2.

Isodesmic reactions
target specie
ΔH° Rxn  (298)  Hartbees ΔH° Rxn (298) Kcal/mole1 ΔfH° (298)      
kcal mol-1  
Error
kcal mol-1  
  CF3CH2OH+CH4=CH3CH2OH+CHF3
-452.696144-40.447961-154.92666-338.204669
-17.81 -56.21 -166.71
0.01277 8.013303 -213.1 ± 2.03
CF3CH2OH+CH3CH3=CH3CH2OH+CH3C
-452.696144 -79.71776 -154.926666 -377.492814-20.05-56.21-180.51
-0.00557 -3.49398 -213.2 ± 2.14
Reported ΔfHo (298) kcal mol-1                                        -213.15±2.09  
Standard deviation  over rxns 0.05 kcal mol-1                   
CF3CH•OH+CH3CH3=CH3CH2O•+CH3CF3
-452.048269 -79.717768 -154.268107
-377.492814-20.05  -3.01 -180.51
0.005116 3.210341 -166.7 ± 2.09
CF3CH•OH+CH4=CH3CH2O•+CHF3
-452.048269 -40.447961 -154.268107
-338.204669-17.81-3.01-166.71
0.023454 14.71762 -166.6 ± 1.98
  Reported ΔfHo (298) kcal mol-1                                        -166.65±2.04  
  Standard deviation  over rxns 0.05 kcal mol-1                        
CF3CH2O•+CH3CH2CH3=CH3CH2O•+CH3CH2CF3   
-452.023032-118.99092-154.268107-416.766483-25.02-3.01-185.48
-0.02064 -12.9537 -150.5 ± 2.21
CF3CH2O•+CH4=CH3CH2O•+CHF3
-452.023032-40.447961-154.268107-338.204669-17.81-3.01-166.71
-0.00178 -1.11885 -150.8 ± 1.98
Reported ΔfHo (298) kcal mol-1                                        -150.70±2.09  
Standard deviation  over rxns 0.16  kcal mol-1                      
CHF2CHFOH+CH3CH3=CH3CH2OH+CH3CF3
-452.686514-79.717768-154.926666-377.492814-20.05-56.21-180.51
-0.0152 -9.5369 -207.1 ± 2.14
CHF2CHFOH+CH4=CH3CH2OH+CHF3
-452.68651440.447961-154.926666-338.204669-17.81-56.21-166.71
0.00314 1.970381 -207.1 ± 2.03
Reported ΔfHO(298) kcal mol-1                                        -207.10 ± 2.09  
Standard deviation  over rxns  0.00   kcal mol-1                      
C•F2CHFOH+CH4=CH3CH2O•
+CHF3
-452.032761-40.447961-154.268107-338.204669-17.81-3.01-166.71              
0.007946 4.986194 -156.9 ± 1.98
C•F2CHFOH+CH3CH3=  CH3CH2O•+CH3CF3
-452.032761-79.717768-154.268107-377.492814-20.05 -3.01 -180.51
-0.01039 -6.52108 -156.9 ± 2.09
  Reported ΔefHo (298) kcal mol-1                                        -156.90 ± 2.04  
  Standard deviation  over rxns 0.00 kcal mol-1                         
CHF2C•FOH+CH3CH3=CH3CH2O•+CH3CF3
-452.028711-79.717768-154.268107-377.492814-20.05-5.01-180.51     
-0.01444 -9.0625 -154.4 ± 2,09
CHF2C•FOH+CH3CH2CH3=CH3CH2O•+CH3CH2CF3
-452.028711-118.990915-154.268107-416.766483-25.02-5.01-185.48
-0.01496 -9.39006 -154.1 ± 2.21
Reported ΔfHO (298) kcal mol-1                                        -154.30 ± 2.15  
Standard deviation  over rxns 0.16 kcal mol-1                             
CHF2CHFO•+CH4=CH3CH2O•+CHF3
-452.019492-40.447961-154.268107-338.20466-17.81            -3.01-166.71
-0.00532 -3.34024 -148.6 ± 1.98
CHF2CHFO•+CH3CH2CH3=CH3CH2O•  + 
CH3CH2CF3
-452.019492-118.99092-154.268107-416.766483-25.02   -3.01-185.48
-0.02418 -15.1751 -148.3 ± 2.21
Reported ΔfHo (298) kcal mol-1                                        -148.50 ± 2.09  
Standard deviation  over rxns 0.16 kcal mol-1                                 
CH2FCF2OH+CH4=CH3CH2OH+CHF3
-452.696009-40.447961-154.926666-338.204669-17.81           -56.21-166.71
0.012635 7.928589 -213.0 ± 2.03
CH2FCF2OH +CH3CH3=CH3CH2OH+CH3CF3
-452.696009-79.717768-154.926666-377.492814-20.05         -56.21-180.51
-0.0057 -3.57869 -213.1 ± 2.14
Reported ΔfHo (298) kcal mol-1                                        -213.05 ± 2.09  
Standard deviation  over rxns 0.05 kcal mol-1                                    
C•HFCF2OH+CH4=CH3CH2O•+CHF3-452.03698640.447961-154.268107-338.204669-17.81-3.01-166.71 0.012171 7.637424 -159.5 ± 1.98
C•HFCF2OH+CH3CH3=CH3CH2O•+CH3CF3
-452.036986-79.717768-154.268107-377.492814-20.05-3.01-180.51
-0.00617 -3.86985 -159.6 ± 2.09
Reported ΔfHo (298) kcal mol-1                                        -159.55 ± 2.04  
Standard deviation  over rxns  0.08 kcal mol-1                             
CH2FCF2O•+CH4=CH3CH2O•+CHF3
-452.019556-40.447961-154.268107-338.204669
-17.81-3.01-166.71
-0.00526 -3.30008 -148.6 ± 1.98
CH2FCF2O•+CH3CH3=CH3CH2O•+CH3CF3
-452.019556-79.717768-154.268107-377.492814-20.05         -3.01-180.51
-0.0236 -14.8074 -148.7 ± 2.09
Reported ΔfHo (298) kcal mol-1                                        -148.65 ± 2.04  
Standard deviation  over rxns 0.05 kcal mol-1                                           
CF3CFHOH+CH4=CH3CH2OH+CF4
-551.950082-40.447961-154.926666-437.46666-17.81          -56.21-223.15
0.004717 2.959965 -264.5 ± 0.10
CF3CFHOH+CH3CH3=CH3CH2OH+CHF2CHF2
-551.950082-79.717768-154.926666-476.71600-20.05-56.21-212.13
0.025183 15.80258 -264.1 ± 0.09
  Reported ΔfHo (298) kcal mol-1                                        -264.30 ± 0.10  
Standard deviation  over rxns  0.20 kcal mol-1                         
CF3C•FOH+ CH4=CH3CH2O•+CF4
-551.293882-40.447961-154.268107-437.4666-17.81-3.01  -223.15
0.007076 4.440261 -212.8 ± 0.10
CF3C•FOH+CH3CH3=CH3CH2O•+CHF2CHF2
-551.293882-79.717768-154.268107-476.716001-20.05-3.01  -212.13  
0.027542 17.28288 -212.4 ± 0.40
Reported ΔfHo (298) kcal mol-1                                        -212.60 ± 0.30  
Standard deviation  over rxns 0.20 kcal mol-1                             
CF3CFHO•+CH4 =CH3CH2O•+CF4
-551.281264-40.447961-154.268107-437.46666-17.81            -3.01-223.15 
-0.00554 -3.47766 -204.9 ± 0.10
CF3CFHO•+CH3CH3=CH3CH2O•+CHF2CHF2
-551.281264-79.717768-154.268107-476.716001-20.05            -3.01-212.13       
0.014924 9.364959 -204.5 ± 0.40
  Reported ΔfHo (298) kcal mol-1                                        -204.70 ± 0.30  
Standard deviation  over rxns 0.20 kcal mol-1                              
CF2HCF2OH+CH4=CH3CH2OH+CF4
-551.947553-40.447961-154.926666-437.46666-17.81-56.21-223.15    
0.002188 1.372992 -262.9 ± 0.10
CF2HCF2OH+CH3CH3=CH3CH2OH+CHF2CHF2
-551.947553 -79.717768-154.926666-476.716001-20.05           -56.21-212.13
0.022654 14.21561 -262.5 ± 0.10
  Reported ΔfHo (298) kcal mol-1                                        -262.70 ± 0.10  
Standard deviation  over rxns  0.20 kcal mol-1                                
C•F2CF2OH+CH4=CH3CH2O•+CF4
-551.286788 -40.447961-154.268107-437.46666-17.81           -3.01-223.15
-1.8E-05 -0.0113 -208.3 ± 0.10
C•F2CF2OH+CH3CH3=CH3CH2O•+CHF2CHF2
-551.286788-79.717768-154.268107-476.716001-20.05-3.01-212.13
0.020448 12.83132 -207.9 ± 0.40
Reported ΔfHo(298) kcal mol-1                                        -208.10 ± 0.30  
Standard deviation  over rxns 0.20 kcal mol-1                                
CF2HCF2O•+CH4=CH3CH2O•+CF4
-551.26873-40.447961-154.268107-437.46666-17.81-3.01         -223.15
-0.01808 -11.3429 -197.0 ± 0.10
CF2HCF2O• + CH3CH3=CH3CH2O•+CHF2CHF2
-551.26873-79.717768-154.268107-476.716001-20.05-3.01-212.13
0.00239 1.499749 -196.6 ± 0.40
Reported ΔfHo(298) kcal mol-1                                        -196.80 ± 0.30  
Standard deviation  over rxns 0.20 kcal mol-1                            
CF3CF2OH+CH3CH2CH3=CH3CH2OH+CF3CH2CHF2
-651.207522-118.99092-154.926666-615.260935-25.02-56.21-286.18      
0.010836 6.799698 -324.2 ± 0.10
CF3CF2OH+CH3CH3=CH3CH2OH+CF3CHF2
-651.207522 -79.717768 -154.926666 -575.976217-20.05            -56.21-267.79       
0.022407 14.06062 -318.0 ± 1.70
CF3CF2OH + CH4 =CF3OH+CH3CHF2
-651.207522-40.447961-413.437575-278.225303-17.81-218.11-12087
-0.00739 -4.64044 -316.5 ± 1.70
  Reported ΔfHo (298) kcal mol-1                                        -319.60 ± 1.20  
  Standard deviation  over rxns 3.30 kcal mol-1                           
CF3CF2O•+CH4=CHF2O•+CH3CF3
-650.527081-40.447961-313.498636-377.492814-17.81            -97.82-180.51
-0.01641 -10.2962 -250.2 ± 2.06
CF3CF2O•+CH3CH2CH3=CH3CH2O•+CF3CH2CHF2
-650.527081-118.990915-154.268107-615.260935-25.02             -3.01-286.18
-0.01105 -6.93148 -257.2 ± 0.10
CF3CF2O•+CH3CH3=CH3CH2O•+CF3CHF2
-650.527081-79.717768-154.268107-575.976217-20.05-3.01-267.79
0.000525 0.329443 -251.1 ± 1.70
  Reported ΔfHo(298) kcal mol-1                                        -252.80 ± 1.30  
Standard deviation  over rxns  3.11 kcal mol-1                              

Table 2. Isodesmic reactions used in calculating standard enthalpy of formation, ΔH° Rxn for tri-, terta-, and penta-fluorinated ethanol’s and its radicals using the Gaussian M06-2x/6-31+g (d,p) level of theory.

Bond energies

The difference in bond dissociation energies of products and reactants for the hemolysis is called the bond dissociation energy. The bond dissociation energy values don’t depend on the pathway by which it occurs, it doesn’t depend on how bonds are formed or on how bonds break, therefore bond dissociation energies are state functions. Energetics of chemical processes can be assessed using bond dissociation energy values.

The calculated bond dissociation energy values in kcal/mol for Methyl C-H, Ethyl C-H, and hydroxyl O-H bonds are listed in Table 3.

Reactions Bond dissociation energya  (Kcal mol-1) *Error Kcal mol-1
CF3CH-HOH
CF3CH-HOH=H•+CF3CH•OH
-213.15 ± 2.09 52.10-166.65 ± 2.04

CF3CH2O-H
CF3CH2O-H=H• +CF3CH2O•
-213.15 ± 2.09 52.10-150.70 ± 2.09

C-HF2CHFOH
C-HF2CHFOH=H•+C•F2CHFOH
-207.10 ± 2.09 52.10-156.90 ± 2.04

CHF2C-HFOH
CHF2C-HFOH =H•+CHF2C•FOH
-207.10 ± 2.09 52.10-154.30 ± 2.15

CHF2CHFO-H
CHF2CHFO-H = H•+CHF2CHFO•
-207.10 ± 2.09 52.10-148.50 ± 2.09

HC-HFCF2OH
HC-HFCF2OH =H•+C•HFCF2OH
-213.05 ± 2.09 52.10-159.55 ± 2.04

CH2FCF2O-H
CH2FCF2O-H=H•+CH2FCF2O•
-213.05 ± 2.09 52.10 -148.65 ± 2.04

CF3CF-HOH
CF3CF-HOH=H•+CF3CF•OH
-264.30 ± 0.10 52.10 -212.60 ± 0.30

CF3CFHO-H
CF3CFHO-H=H•+CF3CFHO•
-264.30 ± 0.10 52.10-204.70 ± 0.30


CF2-HCF2OH
CF2-HCF2OH=H•+CF2• CF2OH
-262.70 ± 0.10 52.10-208.10 ± 0.30

CF2HCF2O-H
CF2HCF2O-H=H•+CF2HCF2O•
-262.70 ± 0.10 52.10-196.80 ± 0.30

CF3CF2O-H
CF3CF2O-H=H•+CF3CF2O•
-319.60 ± 1.20 52.10-252.80 ± 1.30

 

 

98.60 ± 2.07



114.55 ± 2.09

 

102.30 ± 2.07



104.90 ± 2.10


110.70 ± 2.09




105.60 ± 2.07



116.50 ± 2.07


103.80 ± 0.20



111.70 ± 0.20




106.70 ± 0.20



118.00 ± 0.20

 

118.90 ± 1.30

 

 

± 2.07

± 2.09



± 2.07

± 2.10



± 2.09



± 2.07


± 2.07

 

± 0.20



± 0.20

 



± 0.20



± 0.20


± 1.30

Table 3. Bond Dissociation Energy (BDE’s) of Tri-, Trtra-, and Penta Fluorinated Ethanol’s using Gaussian M-062x/6-31+g (d,p) method of calculation.

Optimized structures

The Gauss view software has been used along with gaussian output files to provide a picture of the Gaussian M06-2x/6-31+g (d,p) optimized structure for each molecule in this study (Table 4).

CF3CH2OH
CF3CH•OH
  CF3CH2O•
  CHF2CHFOH
C•F2CHFOH
CHF2C•FOH
  CHF2CHFO•
  CH2FCF2OH
C•HFCF2OH
  CH2FCF2O•
  CF3CFHOH
  CF3CF•OH
  CF3CFHO•
  CF2HCF2OH
  C•F2CF2OH
  CF2HCF2O•
  CF3CF2OH
  CF3CF2O•

Table 4. Optimized geometries for target tri-, tetra-, and penta- fluorinated ethanol’s and their related radicals calculated by Gaussian M06-2x/6-31+g (d,p) level of theory.

Cartesian coordinates

The cartesian coordinates for target tri-, tetra-, and penta- fluorinated ethanol’s and their related radical’s at the Gaussian m062x/6-31+g (d,p) level of theory are listed in Table 5.

Molecule Cartesian coordinates
  CF3CH2OH
  CF3C•HOH
CF3CH2O•  
CHF2CHFOH
  C•F2CHFOH
  CHF2C•FOH
  CHF2CHFO•
  CH2FCF2OH
  C•HFCF2OH
  CH2FCF2O•
  CF3CFHOH
  CF3C•FOH
  CF3CFHO•
  CF2HCF2OH
  C•F2CF2OH
  CF2HCF2O•
  CF3CF2OH
  CF3CF2O•

Table 5. Cartesian coordinates in angstroms for target fluorinated ethanol and their related radical’s geometries at the m062x/6-31+g (d,p) level of theory.

Acknowledgments

We acknowledge the NJIT advanced research computing services for significant help in providing the computer calculation software.

CONCLUSION

The ab initio and Global-hybrid meta-GGA density function method, Gaussian M06-2x/6-31+g (d,p) has been used to calculate thermodynamic properties of 18 tri-, tetra-, and penta- fluorinated ethanol’s and their related radicals. Standard enthalpy of formation at the Gaussian M06-2x/6-31+g (d,p) calculation level has been calculated using multiple work reactions, work reactions were employed for cancellation of calculation errors.

The thermochemical properties: the O—H, secondary methyl C—H, and ethyl C-H Bond Dissociation Energies (BDEs), and standard enthalpy of formation (298 K) values has been calculated for tri-, tetra-, and penta- fluorinated Ethanol’s and their related radicals: CH3CH2-xFxOH, CH3-xFxCH2-xFxOH, and CH2-xFxCH2OH

The C-H bond dissociation energies range from 98.6 to 104.9 Kcal mol-1 on the secondary ethyl carbons, and from 103.3 to 106.7 Kcal mol-1 on the primary methyl carbons. The O-H bond energies range from 110.7 to 118.9 Kcal mol-1.

Calculated values for the O-H bond energies for penta fluorinated ethanol are higher than those of O-H bond energies for tri-fluorinated ethanol. The calculated the O-H bond energies increased by intruding more fluorine atoms to either methyl or ethyl carbons.

References