Pub Date : 2026-10-24DOI: 10.1007/s12039-026-02562-3
Akash Deep Das, P Ayushi Rao, Poonam Ahirwar, Amit Dubey, Soumya Mukherjee
In the last few decades, first principle based beyond Born–Oppenheimer (BBO) theory has been developed and widely applied for several molecular species of spectroscopic interest, triatomic reactive scattering processes as well as unit cells of solid crystals, where adiabatic potential energy surfaces (PESs) and non-adiabatic coupling terms (NACTs) appear as real-valued functions. On the other hand, in our recent work (J. Chem. Theory Comput., 2025, 21, 10166–10176), Complex BBO (CBBO) theory has been introduced to investigate the functional forms of complex mixing angles for Jahn–Teller (JT) distortion phenomenon vis-á-vis such theory has been employed on a benchmark molecular system of spectroscopic interest, benzene radical cation (C(_6)H(_6^+)). It is worth mentioning that, apart from the JT phenomenon, formulation of CBBO theory is indeed necessary for correct description of electron–nuclear couplings for two important phenomena/properties, namely, (a) complex absorbing potential and radioactivity, and (b) spin–orbit couplings. In order to construct diabatic Hamiltonian for such cases, earlier developed CBBO theory is extended in the present work. For case (a), adiabatic PESs are complex, but NACTs are real, whereas reverse situation originates for case (b) involving real adiabatic PESs and complex electron–nuclear couplings due to imaginary components of spin–orbit coupling terms.
The graphical abstract represents expressions of diabatic potential energy surfaces (PESs) and couplings for a system with two coupled electronic states for two different cases: complex adiabatic PESs matrix with real electron-nuclear couplings as well as real adiabatic PESs matrix with complex electron-nuclear (spin-orbit) couplings.
在过去的几十年里,基于Born-Oppenheimer (BBO)理论的第一原理已经发展并广泛应用于几种光谱感兴趣的分子物种,三原子反应散射过程以及固体晶体的单位细胞,其中绝热势能面(PESs)和非绝热耦合项(NACTs)表现为实值函数。另一方面,在我们最近的工作中(J. Chem。理论计算。(化学学报,2025,21,10166-10176),已引入络合BBO (CBBO)理论来研究Jahn-Teller (JT)畸变现象的络合混合角的功能形式vis-á-vis,该理论已用于光谱感兴趣的基准分子体系苯自由基阳离子(C (_6) H (_6^+))。值得一提的是,除了JT现象外,CBBO理论的表述对于正确描述电子-核耦合的两个重要现象/性质,即(a)复吸收势和放射性,(b)自旋轨道耦合,确实是必要的。为了构造这种情况下的非绝热哈密顿量,本文推广了先前发展的CBBO理论。对于情形(a),绝热PESs是复的,但NACTs是实的,而对于情形(b),由于自旋轨道耦合项的虚分量,涉及真实绝热PESs和复杂的电子-核耦合,则产生相反的情况。图解摘要给出了具有两个耦合电子态系统的绝热势能面及其耦合的表达式,分为两种情况:具有真实电子-核耦合的复合绝热势能面矩阵和具有复杂电子-核(自旋轨道)耦合的真实绝热势能面矩阵。
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Growing environmental concerns have driven the development of the sustainable thermoplastic elastomers (TPEs) from renewable resources. In this study, pristine starch (PS) was vinyl-functionalized (VFS), enhancing the grafting sites and subsequently grafted with methyl methacrylate (MMA, hard monomer) and butyl acrylate (BA, soft monomer) via ‘grafting through’ free radical polymerization. Three graft copolymers (VSG1, VSG2 and VSG3) were prepared by varying the MMA/BA ratio, maintaining a starch-to-monomer ratio of 50:50 (w/w). The resulting films, prepared via solvent casting, were analysed for their thermal, mechanical, surface, and structural properties. FT-IR, PXRD, 1H-NMR, SEM, TGA, and DSC confirmed successful functionalization and graft copolymer formation. DSC results revealed a substantial decrease in the glass transition temperature, indicating increased chain mobility and TPE-like behaviour. Contact angle analysis indicated that VSG1 showed higher hydrophobicity (110.6°) than VSG2 and VSG3. Mechanical characterization revealed that VSG1 exhibits a tensile strength of 6.06 MPa and an elongation at break of 67%, with its stress-strain curve indicating a ductile, elastomeric nature. Biodegradation testing demonstrated over 50% weight loss within a few weeks, confirming significant environmental degradability. Overall, the synthesized graft copolymers, particularly VSG1, exhibit promising biodegradable and sustainable characteristics, making them suitable candidates for eco-friendly material applications.
Graphical abstract
Graphical representation of grafting copolymer of MMA and BA on VFS via Grafting through approach to develop biodegradable TPE like material.