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Search for "free energy" in Full Text gives 198 result(s) in Beilstein Journal of Organic Chemistry.

Synthesis of the tetracyclic skeleton of Aspidosperma alkaloids via PET-initiated cationic radical-derived interrupted [2 + 2]/retro-Mannich reaction

  • Ru-Dong Liu,
  • Jian-Yu Long,
  • Zhi-Lin Song,
  • Zhen Yang and
  • Zhong-Chao Zhang

Beilstein J. Org. Chem. 2025, 21, 2470–2478, doi:10.3762/bjoc.21.189

Graphical Abstract
  • the N atom is positioned antiperiplanar to the adjacent C19–C3 bond, an intermediate IN4 with a bicyclo[2.2.0]hexane unit was successfully located. However, the Gibbs free energy of IN4 (ΔG° = +27.4 kcal/mol) is significantly higher than the activation energy of TS2 (ΔG‡ = 22.4 kcal/mol). This energy
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Published 10 Nov 2025

Recent advances in Norrish–Yang cyclization and dicarbonyl photoredox reactions for natural product synthesis

  • Peng-Xi Luo,
  • Jin-Xuan Yang,
  • Shao-Min Fu and
  • Bo Liu

Beilstein J. Org. Chem. 2025, 21, 2315–2333, doi:10.3762/bjoc.21.177

Graphical Abstract
  • cyclization of the saturated C5–C6; c) calculated Gibbs free energy difference (ΔΔG‡) for 1,5-HAT processes of 22 and 30. Total synthesis of avarane-type meroterpenoids. Total synthesis of gracilisoid A. Divergent total synthesis of gracilisoids B–I. Mechanism of the late-stage biomimetic photooxidation
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Review
Published 30 Oct 2025

Influence of the cation in hypophosphite-mediated catalyst-free reductive amination

  • Natalia Lebedeva,
  • Fedor Kliuev,
  • Olesya Zvereva,
  • Klim Biriukov,
  • Evgeniya Podyacheva,
  • Maria Godovikova,
  • Oleg I. Afanasyev and
  • Denis Chusov

Beilstein J. Org. Chem. 2025, 21, 1661–1670, doi:10.3762/bjoc.21.130

Graphical Abstract
  • confirmed by D-experiments. The whole sequence of transformations was finished by the reduction of the charged iminium cation with the hypophosphite anion forming N,N,N-dimethylbenzylammonium phosphite in exergonic manner with a total Gibbs free energy gain of −26.8 kcal/mol (Step_5). Noteworthy, the target
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Published 20 Aug 2025

On the aromaticity and photophysics of 1-arylbenzo[a]imidazo[5,1,2-cd]indolizines as bicolor fluorescent molecules for barium tagging in the study of double-beta decay of 136Xe

  • Eric Iván Velazco-Cabral,
  • Fernando Auria-Luna,
  • Juan Molina-Canteras,
  • Miguel A. Vázquez,
  • Iván Rivilla and
  • Fernando P. Cossío

Beilstein J. Org. Chem. 2025, 21, 1627–1638, doi:10.3762/bjoc.21.126

Graphical Abstract
  • energies computed at 298.17 K. We also extended this study to the interaction between complexes 15a–d and benzene (14) and computed the corresponding complexation energies as In addition, Figure 4 includes the chief geometric parameters of the different complexes, as well as the corresponding free energy
  • a relatively lower ΔGrxn free energy for 17c, given the lower charge available for further interaction with the phenyl group. The geometry of complex 17d (n = 4) resembles that found for parent 15d, since the 21-crown-7 moiety adopts a concave–convex shape, in which the barium cation occupies a
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Published 13 Aug 2025

Azobenzene protonation as a tool for temperature sensing

  • Antti Siiskonen,
  • Sami Vesamäki and
  • Arri Priimagi

Beilstein J. Org. Chem. 2025, 21, 1528–1534, doi:10.3762/bjoc.21.115

Graphical Abstract
  • with the 3H+ ion. All geometry-optimized structures for compounds 1–3 are shown in Supporting Information File 1, Figures S19–S28). Table 1 presents the calculated Gibbs free energy changes (∆G°) for the complexes. Among the XH+MSA−MSA (X = 1, 2 or 3) complexes, 3 shows the highest protonation
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Published 28 Jul 2025

Wittig reaction of cyclobisbiphenylenecarbonyl

  • Taito Moribe,
  • Junichiro Hirano,
  • Hideaki Takano,
  • Hiroshi Shinokubo and
  • Norihito Fukui

Beilstein J. Org. Chem. 2025, 21, 1454–1461, doi:10.3762/bjoc.21.107

Graphical Abstract
  • of 1.5 kcal mol−1 and 3.2 cal K−1 mol−1, respectively (Figure S26 in Supporting Information File 1). These physical parameters give a free energy ΔG298 of 0.55 kcal mol−1, indicating approximately a 2:5 ratio of figure-eight and bathtub conformations at room temperature. Mono-olefin 3 exhibited
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Letter
Published 14 Jul 2025

On the photoluminescence in triarylmethyl-centered mono-, di-, and multiradicals

  • Daniel Straub,
  • Markus Gross,
  • Mona E. Arnold,
  • Julia Zolg and
  • Alexander J. C. Kuehne

Beilstein J. Org. Chem. 2025, 21, 964–998, doi:10.3762/bjoc.21.80

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Published 21 May 2025

Beyond symmetric self-assembly and effective molarity: unlocking functional enzyme mimics with robust organic cages

  • Keith G. Andrews

Beilstein J. Org. Chem. 2025, 21, 421–443, doi:10.3762/bjoc.21.30

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  • free energy transition barrier can be framed in terms of contributions from polarization and organization by the catalyst/system. Typical catalysis modes using macrocycle cavities performing (non-specific) hydrophobic substrate binding. (A) Macrocycles that confine two reagents close together to alter
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Perspective
Published 24 Feb 2025

Effect of substitution position of aryl groups on the thermal back reactivity of aza-diarylethene photoswitches and prediction by density functional theory

  • Misato Suganuma,
  • Daichi Kitagawa,
  • Shota Hamatani and
  • Seiya Kobatake

Beilstein J. Org. Chem. 2025, 21, 242–252, doi:10.3762/bjoc.21.16

Graphical Abstract
  • compounds N3, N4, and I1–I4. The activation enthalpy (ΔH‡) and activation entropy (ΔS‡) in the thermal reaction were determined from the intercept and slope. Using these values, the experimental activation free energy (ΔG‡(exp)), the k value, and the half-life (t1/2) at 298 K were calculated and the results
  • transition state for N1–N4 and I1–I4 using various functionals in combination with a 6-31G(d) basis set. The theoretical activation free energy (ΔG‡(calc)) at 298 K was determined as the difference in the sum of electronic energy and thermal free energy correction between the closed-ring isomer and the
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Published 31 Jan 2025

Quantifying the ability of the CF2H group as a hydrogen bond donor

  • Matthew E. Paolella,
  • Daniel S. Honeycutt,
  • Bradley M. Lipka,
  • Jacob M. Goldberg and
  • Fang Wang

Beilstein J. Org. Chem. 2025, 21, 189–199, doi:10.3762/bjoc.21.11

Graphical Abstract
  • , with other easily accessible parameters. We first calculated the Gibbs free energy of formation (ΔGcalc) of the HB complexes of HB donors with trimethylphosphine oxide (Me3PO), which models n-Bu3PO as a hydrogen bond acceptor, and compared these values with experimental data. We realized that such an
  • HB complex. Values for ΔGcalc were then calculated as the weighted average of the free energy of each HB complex as in which PMe3PO···HB,a and PMe3PO···HB,b are the percent populations of the HB complex of Me3PO with the donor conformer a and b, respectively; PMe3PO | HB,a and PMe3PO | HB,b are the
  • the HB complex with tri-n-butylphosphine oxide at 298 K in anhydrous CD3CN. The Kd for 6b was not determined due to the formation of non-HB-mediated adducts (Figure S34 in Supporting Information File 1). The corresponding experimental Gibbs free energy of binding (ΔGexp) is calculated based on the Kd
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Published 20 Jan 2025

Direct trifluoroethylation of carbonyl sulfoxonium ylides using hypervalent iodine compounds

  • Radell Echemendía,
  • Carlee A. Montgomery,
  • Fabio Cuzzucoli,
  • Antonio C. B. Burtoloso and
  • Graham K. Murphy

Beilstein J. Org. Chem. 2024, 20, 3182–3190, doi:10.3762/bjoc.20.263

Graphical Abstract
  • ° and C–I bond lengths of 2.1 Å (I–CH2CF3) and 3.2 Å. Finally, a 37.8 kcal/mol activation energy between XB-2 and B for path 1 was calculated. On the other hand, path 2 had a much lower Gibbs free energy of activation of 24.3 kcal/mol, where the angle of attack from 1a to 2a’ was found at approximately
  • -mediated and SN2 reaction mechanisms. Ultimately, the nudged elastic band climbing image (NEB-CI) method predicted the SN2 pathway to be favoured, and transition state optimization showed this to possess a Gibbs free energy of activation of 24.3 kcal/mol. This report shows the ease with which sulfoxonium
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Published 04 Dec 2024

Surprising acidity for the methylene of 1,3-indenocorannulenes?

  • Shi Liu,
  • Märt Lõkov,
  • Sofja Tshepelevitsh,
  • Ivo Leito,
  • Kim K. Baldridge and
  • Jay S. Siegel

Beilstein J. Org. Chem. 2024, 20, 3144–3150, doi:10.3762/bjoc.20.260

Graphical Abstract
  • for a CpH-PAH like BFC or FIC in DMSO? From the initial structural analogy to fluorene there is a substantial 8 pKa unit difference, which is nearly 11 kcal/mol in ambient reaction free energy. Computations (B97-D/def2-TZVPP(THF)//B97-D/def2-TZVPP(THF)) also predict pKa values of 14.4 and 14.3 for FIC
  • ]. Electronic and thermal free energy differences between neutral and anion were compared to a reference pentafluorophenylfluorene, and subsequently converted to pKa values by dividing by 1.36. Visualization and analysis of structural and property results were obtained using Avogadro [35]. Our group develops
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Published 02 Dec 2024

Controlled oligomerization of [1.1.1]propellane through radical polarity matching: selective synthesis of SF5- and CF3SF4-containing [2]staffanes

  • Jón Atiba Buldt,
  • Wang-Yeuk Kong,
  • Yannick Kraemer,
  • Masiel M. Belsuzarri,
  • Ansh Hiten Patel,
  • James C. Fettinger,
  • Dean J. Tantillo and
  • Cody Ross Pitts

Beilstein J. Org. Chem. 2024, 20, 3134–3143, doi:10.3762/bjoc.20.259

Graphical Abstract
  • , alternatively, INT1 could be added to another equiv of 1 via TS2 to form INT2. Although formation of 4 is notably more thermodynamically favorable than INT2 (ΔΔG = −9.2 kcal/mol), a small difference in activation free energy is predicted (ΔΔG‡ = −1.4 kcal/mol). This, at least in part, provides an explanation as
  • here that the free energy of activation is lower for chlorination, albeit only by 0.4 kcal/mol. This is consistent with the notion that the kinetic preference can be overcome by increasing the concentration of 1 relative to CF3SF4Cl. In the second product-determining step, Cl atom abstraction by INT5
  • challenges in the synthesis of [n]staffanes using excess [1.1.1]propellane (1). (Bottom) selective synthesis of [2]staffanes bearing the SF5 (2) and CF3SF4 (3) groups (this work). Computed free energy profile for the oligomerization of [1.1.1]propellane (1) following SF5 radical addition at PWPB95-D4/def2
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Published 29 Nov 2024

Advances in the use of metal-free tetrapyrrolic macrocycles as catalysts

  • Mandeep K. Chahal

Beilstein J. Org. Chem. 2024, 20, 3085–3112, doi:10.3762/bjoc.20.257

Graphical Abstract
  • conditions also supported the generation of the radical anion [67]˙−. Furthermore, the authors used thermodynamic theoretical calculations to investigate catalytic steps, finding that the protonation of [67]˙− to generate [67-H] is thermodynamically favored (free energy of +2.39 kcal mol−1) over its
  • reduction to highly energetic dianion [67]2− (free energy of +36.3 kcal mol−1). Combining experimental and theoretical observations, the authors proposed the most favorable hydrogen generation mechanism to be E–P–E–P; where E stands for reduction and P means protonation (Figure 19). Acid protonates the
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Published 27 Nov 2024

Synthesis and antimycotic activity of new derivatives of imidazo[1,2-a]pyrimidines

  • Dmitriy Yu. Vandyshev,
  • Daria A. Mangusheva,
  • Khidmet S. Shikhaliev,
  • Kirill A. Scherbakov,
  • Oleg N. Burov,
  • Alexander D. Zagrebaev,
  • Tatiana N. Khmelevskaya,
  • Alexey S. Trenin and
  • Fedor I. Zubkov

Beilstein J. Org. Chem. 2024, 20, 2806–2817, doi:10.3762/bjoc.20.236

Graphical Abstract
  • and 7a are formed (Scheme 4). Although intermediate 7a has a lower activation energy (∆G = −0.23 kcal/mol), further recyclization processes are not possible due to the positive free energy change (∆G > 0). In this context, the formation of the final product is only possible to proceed via intermediate
  • irreversible process, given that it is thermodynamically challenging to revert the formed target product 4a to the original starting substances or the corresponding intermediate 6a (∆G(4a→6a) = + 4.04 kcal/mol). Meanwhile, a minimal difference in the free energy of intermediates 6a and 7a may facilitate their
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Published 05 Nov 2024

Computational design for enantioselective CO2 capture: asymmetric frustrated Lewis pairs in epoxide transformations

  • Maxime Ferrer,
  • Iñigo Iribarren,
  • Tim Renningholtz,
  • Ibon Alkorta and
  • Cristina Trujillo

Beilstein J. Org. Chem. 2024, 20, 2668–2681, doi:10.3762/bjoc.20.224

Graphical Abstract
  • free energy correction at double-zeta. The kinetics of some reactions were calculated, applying the transition state theory [40]. Within this theory, the rate constant of an elementary reaction with the free energy barrier ΔG‡ is given by Equation 1, where k is the rate constant in s−1, kB is the
  • catalytic reaction (δE) is considered. King et al. [48] introduced the concept of the energy span of a simulated catalytic cycle by defining it as the difference between the highest and lowest free energy stationary points [49][50]. More precisely, the energy span can be defined using Equation 6, where Ti
  • axis represents the free energy of the first stationary point of the selected pair and the y axis represents the free energy of the other stationary point of the pair. According to the volcano plots, the best theoretically predicted catalysts are those nearest to the lowest predicted δE values
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Published 22 Oct 2024

Synthesis and conformational analysis of pyran inter-halide analogues of ᴅ-talose

  • Olivier Lessard,
  • Mathilde Grosset-Magagne,
  • Paul A. Johnson and
  • Denis Giguère

Beilstein J. Org. Chem. 2024, 20, 2442–2454, doi:10.3762/bjoc.20.208

Graphical Abstract
  • in a chloroform solution, using the polarizable continuum model (PCM) [75]. A natural bonding orbital (NBO) analysis was performed to study the effects of hyperconjugation from C–F antibonding orbitals [76]. First, dipole moments, enthalpy and Gibbs free energy differences between 1C4 and 4C1 chair
  • are nearly degenerate. In solution, the picture is much clearer: the 4C1 structure is always lower in enthalpy and Gibbs free energy, which corresponds with the experimental measurements. One can see that the gap between the two structures tends to decrease as the halogen becomes larger (the minor
  • described the synthesis and conformational analysis of halogenated pyran analogues of ᴅ-talose. All analogues adopt standard 4C1-like conformations both in solution and in the solid-state. The conformations were corroborated using DFT calculations by looking at the energy, enthalpy and Gibbs’ free energy
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Published 27 Sep 2024

Catalysing (organo-)catalysis: Trends in the application of machine learning to enantioselective organocatalysis

  • Stefan P. Schmid,
  • Leon Schlosser,
  • Frank Glorius and
  • Kjell Jorner

Beilstein J. Org. Chem. 2024, 20, 2280–2304, doi:10.3762/bjoc.20.196

Graphical Abstract
  • by observing the influence of substituents on a reaction outcome. However, Hammett parameters have shown to not fully describe observed trends. Therefore, complementary representations capturing other properties of a molecule have been derived (vide infra) [28]. While traditional linear free energy
  • Drawing inspiration from linear free energy relationships, MLR models, pioneered by Norrby and co-workers [83] and later further developed by Sigman and co-workers [69][82], are commonly used for the prediction of enantioselectivity. In such models, the substrates, catalysts, and other relevant reaction
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Published 10 Sep 2024

Metal-free double azide addition to strained alkynes of an octadehydrodibenzo[12]annulene derivative with electron-withdrawing substituents

  • Naoki Takeda,
  • Shuichi Akasaka,
  • Susumu Kawauchi and
  • Tsuyoshi Michinobu

Beilstein J. Org. Chem. 2024, 20, 2234–2241, doi:10.3762/bjoc.20.191

Graphical Abstract
  • . (a) Strain-promoted azide–alkyne cycloaddition between DBA 5 and benzyl azide and (b) 1H NMR spectral change at 30 °C in CDCl3. Arrhenius plots of the rate constants for the reaction between 5 and benzyl azide in CDCl3. Proposed reaction mechanism for the formation of compound 6a. Free energy
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Published 04 Sep 2024

Computational toolbox for the analysis of protein–glycan interactions

  • Ferran Nieto-Fabregat,
  • Maria Pia Lenza,
  • Angela Marseglia,
  • Cristina Di Carluccio,
  • Antonio Molinaro,
  • Alba Silipo and
  • Roberta Marchetti

Beilstein J. Org. Chem. 2024, 20, 2084–2107, doi:10.3762/bjoc.20.180

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Published 22 Aug 2024

The Groebke–Blackburn–Bienaymé reaction in its maturity: innovation and improvements since its 21st birthday (2019–2023)

  • Cristina Martini,
  • Muhammad Idham Darussalam Mardjan and
  • Andrea Basso

Beilstein J. Org. Chem. 2024, 20, 1839–1879, doi:10.3762/bjoc.20.162

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Published 01 Aug 2024

Divergent role of PIDA and PIFA in the AlX3 (X = Cl, Br) halogenation of 2-naphthol: a mechanistic study

  • Kevin A. Juárez-Ornelas,
  • Manuel Solís-Hernández,
  • Pedro Navarro-Santos,
  • J. Oscar C. Jiménez-Halla and
  • César R. Solorio-Alvarado

Beilstein J. Org. Chem. 2024, 20, 1580–1589, doi:10.3762/bjoc.20.141

Graphical Abstract
  • values as Gibbs free energy at 298 K and 1 atm. All our calculations were performed in the gas phase. Then, the solvent effects were included according to the polarizable continuum model via the solvent model density (SMD) option considering Truhlar’s model [36][37][38][39][40] and MeCN as the solvent
  • –AlCl2 complex yields the final product 1-chloro-2-naphthol (P–Cl). The calculated mechanism for the chlorination reaction starts with coordination of a PIFA oxygen atom to aluminum chloride. This generates a highly exergonic PIFA–AlCl3 adduct. In Figure 1, the Gibbs free energy of this adduct is set as
  • reaction proceeds through a stepwise mechanism. Thus, the reaction starts with the coordination of aluminum bromide to an acetate ligand in PIDA to form the PIDA–AlBr3 adduct in a highly exergonic process. Similar to the previous section, the Gibbs free energy at this point was set as 0 kcal/mol for
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Published 15 Jul 2024

Regio- and stereochemical stability induced by anomeric and gauche effects in difluorinated pyrrolidines

  • Ana Flávia Candida Silva,
  • Francisco A. Martins and
  • Matheus P. Freitas

Beilstein J. Org. Chem. 2024, 20, 1572–1579, doi:10.3762/bjoc.20.140

Graphical Abstract
  • most reliable method, it was employed to optimize the geometry and compute frequencies (to derive Gibbs free energy) for the difluorinated pyrrolidines. These computations were conducted in both the gas phase and employing an implicit DMSO solvent using SMD [22]. Subsequently, a NBO [23] analysis was
  • the gas phase and implicit DMSO (in parentheses), along with the MAE compared to the CCSD/DGTZVP level. Relative Gibbs free energy (kcal⋅mol−1) for the geometry-optimized difluorinated pyrrolidines. Relative electronic energy (ΔEfull = ΔELewis + ΔEnon-Lewis) in isodesmic relationships and significant
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Published 12 Jul 2024

Photoswitchable glycoligands targeting Pseudomonas aeruginosa LecA

  • Yu Fan,
  • Ahmed El Rhaz,
  • Stéphane Maisonneuve,
  • Emilie Gillon,
  • Maha Fatthalla,
  • Franck Le Bideau,
  • Guillaume Laurent,
  • Samir Messaoudi,
  • Anne Imberty and
  • Juan Xie

Beilstein J. Org. Chem. 2024, 20, 1486–1496, doi:10.3762/bjoc.20.132

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  • enthalpy (ΔH), and stoichiometry (n). Values for free energy change (ΔG) and entropy contributions (TΔS) were derived from the equation ΔG = ΔH − TΔS = − RT ln Kd (with T = 298.15 K and R = 8.314 J mol−1K−1). General procedure I for the O-alkylation with BrCH2CH2NHBoc: A solution of glycosyl azobenzene
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Published 03 Jul 2024

Computation-guided scaffold exploration of 2E,6E-1,10-trans/cis-eunicellanes

  • Zining Li,
  • Sana Jindani,
  • Volga Kojasoy,
  • Teresa Ortega,
  • Erin M. Marshall,
  • Khalil A. Abboud,
  • Sandra Loesgen,
  • Dean J. Tantillo and
  • Jeffrey D. Rudolf

Beilstein J. Org. Chem. 2024, 20, 1320–1326, doi:10.3762/bjoc.20.115

Graphical Abstract
  • anticipated that 1 would similarly undergo Cope rearrangement. However, when we heated 1 up to 200 °C for 5 h, we did not observe any Cope rearrangement products and we were able to recover >90% of 1. DFT calculations [mPW1PW91/6–31+G(d/p)/SMD(toluene)] on the Cope rearrangement of 2 revealed a free energy
  • barrier through the chair–chair transition state of 28.1 kcal mol−1 and an overall ΔG from 2 to 10a/10b, which have the same predicted energy, of −2.0 kcal mol−1 (Figure 3B). The relative free energy barrier through the chair–boat transition state was calculated to be 36.9 kcal mol−1, but would require a
  • , Supporting Information File 1). The lowest transition state for a Cope rearrangement, a chair–chair structure at 29.3 kcal mol−1, originates from a DD (down–down orientations of the methyl groups on the 10-membered ring) conformer that is 3.2 kcal mol−1 higher in free energy than the most dominant conformer
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Published 07 Jun 2024
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