Lakshminath Bezbaroa Central Library Digital Repository
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Recent Submissions
Development of Water-Stable Metal-Organic Frameworks for Oil-Water Separation and Toxic Chemical Sensing
(2025) Rana, Abhijeet
This thesis explores the development and application of functional metal-organic frameworks (MOFs) for environmental and sensing applications across five chapters. Chapter 1 presents a comprehensive overview of the evolution, synthesis strategies, and tunable properties of MOFs, emphasizing their utility in catalysis, gas storage, sensing, and environmental remediation. Chapter 2 details the synthesis of a hydrophobic Hf-based MOF (DUT-52 type) and its integration with polypropylene fabric, yielding a superhydrophobic, self-cleaning composite capable of efficiently separating oil from water under diverse conditions. Chapter 3 introduces an eco-friendly, fluorine-free Zr-UiO-66-based MOF composite and membrane, demonstrating excellent recyclability, high oil absorption capacity, and robust performance in oil-water separation, making them sustainable alternatives for environmental clean-up. Chapter 4 focuses on a luminescent Hf-MOF functionalized with thioureido groups for selective and sensitive dual-analyte detection of Hg²⁺ and hydrazine in aqueous media, offering fast response times and ultralow detection limits. Chapter 5 presents the design of a hydroxy-naphthalene-based luminescent MOF for nanomolar-level detection of the tuberculosis drug rifampicin and the neonicotinoid pesticide nitenpyram in real-world samples, including body fluids, food, soil, and environmental water. Overall, this thesis highlights the versatility of MOFs as advanced materials for targeted environmental remediation and chemical sensing.
Self-assemblies of Salts and Metal Complexes of 1,8-Naphthalimide Derivatives in Self-recognition and Cation Sensing
(2025) Sendh, Jagajiban
The thesis dealt with the supramolecular chemistry of several naphthalimide derivatives and metal complexes, emphasizing the study of their structures to correlate properties. Accordingly, to the set goal to study supramolecular aspects, polymorphs, metal complexes, and salts of naphthlalimides were prepared and characterized. Distinct physical properties of the polymorphs were demonstrated. The modulation of the amounts of naphthalimide in salts and metal complexes through self-recognition was demonstrated. Using a carboxylate ligand together with naphthalimide provided binuclear and trinuclear copper dicarboxylate complexes with different binding modes of both sets of ligands. A cadmium complex with aminonap as coordinated ligands, as well as a guest, displayed self-inclusion property. Electrochemical behavior of the copper complexes showed that the metal coordination could lower the electrochemical reduction potential, influence radical anion formation from the ligand, and stability. Utilizing pyridine-containing naphthalimide, ligands, copper, and cobalt complexes were prepared. Cobalt complex exhibited a stable hexacoordinate distorted octahedral structure, whereas copper complex displayed a five-coordinated, square pyramidal geometry, stabilized by supramolecular interactions. Formation of these complexes enabled to cause fluorescence enhancement of the parent naphthalimide through in-situ release of acid to protonate the free ligand, showing their potential in applications of sensing. A bi-component platform capable of distinguishing Fe2+ and Fe3+ ions with the help of UV-visible spectroscopy was developed. A zinc coordination polymer was prepared, and its utility for fluorescence-based metal ion sensing, showing selectivity for cadmium ions, was presented.
Metal Ion Sensing, Coordination Chemistry of Some N-,O-Donor Ligands and Synthesis of Substituted Benzenes and Cyclohexanols
(2025) Kumar, Sandeep
This Thesis contains six chapters. Chapter 1 is about Introduction, Materials and Methods. In this chapter, introduction about fluorescence and various sensing mechanisms are discussed briefly. Some recent literature reports on detection of Zn2+, Cu2+ and Pd2+ ions using different fluorescent probes have been discussed. Recent reports on benzannulation reactions for the synthesis of substituted benzenes have also been described. In Chapter 2, a probe 3,3'-((-(5-(tert-butyl)-2-hydroxy-1,3-phenylene)bis(methaneylylidene))bis(hydrazin-1-yl-2-ylidene))bis(quinoxalin-2(1H)-one) (LH) showed very weak fluorescence (λem = 597 nm) in EtOH/HEPES buffer system (5 mM, pH = 7.4, 8:2, v/v) upon excitation with 419 nm light. Upon adding Zn2+ ion to the probe solution, a huge enhancement in fluorescence (λem = 537 nm) was observed. Jobs plot and single crystal XRD method suggested a 2:1 binding ratio between Zn2+ and LH. A very low detection limit of 95 nM was calculated using LH for detection of Zn2+ ion. In Chapter 3, a heterocyclic probe 1-(imidazo[5,1-a]isoquinolin-3-yl)naphthalen-2-ol (L2H) has exhibited very high fluorescence in MeOH/HEPES buffer system (5 mM, pH = 7.4, 2:8, v/v) at λem = 437 nm when excited with λex = 336 nm. But after addition of Cu2+ and Pd2+ ions the fluorescence got quenched. Jobs plot and mass spectral analysis suggested a 1:2 binding ratio between M2+ (M = Cu, Pd) and L2H. DFT/TDDFT calculation supported the experimentally observed red shifts in absorption spectra due to addition of Cu2+ and Pd2+ ion to probe solution. In Chapter 4, a polypyridine ligand (L3) containing two terpyridine arms was synthesized and utilized in synthesis of two new metal complexes of Co(II) and Mn(II) with compositions [M2(L3)Cl4]2H2O. Molecular structures of these three were established using single crystal XRD method. Taking inspiration from synthesis of terpyridine, Chapter 5 deals with synthesis of 1,2,4,6-tetrasubstituted benzenes from the reaction of aryl methyl ketones and aromatic aldehydes in 3:1 ratio in the presence of 3 equivalents of NaH in one pot condition. The reaction was regioselective in nature. In Chapter 6, changing the ratio of aryl methyl ketone and aromatic aldehyde from 3:1 to 3:2 in the presence of catalytic amount of NaH yielded 1,2,3,4,5-pentasubstituted cyclohexanol. Using this methodology some new and reported substituted cyclohexanols were synthesized.
Hypergeometric Functions and their Relations to Algebraic Varieties and Modular Forms
(2025) Sulakashna
In this thesis, we study p-adic analogues of certain classical hypergeometric identities, relations of p-adic hypergeometric functions to algebraic varieties and modular forms, and find certain special values of the p-adic hypergeometric functions. Firstly, we establish two transformations for the p-adic hypergeometric function, which can be described as analogues of a transformation of Euler and a transformation of Clausen. We derive some more transformations and find certain special values of p-adic hypergeometric functions. Next, we study relationships between p-adic hypergeometric functions and the number of points on diagonal hypersurfaces over a finite field. We also express the trace of Frobenius of elliptic curves in terms of special values of the p-adic hypergeometric functions. We then derive summation identities for these functions. As an application of the summation identities, we prove identities for the trace of Frobenius endomorphism on certain families of elliptic curves. Finally, we study relationships between p-adic hypergeometric functions and modular forms. We prove p-adic analogues of certain classical hypergeometric identities, and using these identities we express the p-th Fourier coefficient of certain weight three newforms in terms of special values of p-adic hypergeometric functions. Rodriguez-Villegas conjectured certain supercongruences between values of truncated hypergeometric series and the p-th Fourier coefficients of these newforms. As a consequence of our main results, we obtain another proof of these supercongruences conjectured by Rodriguez-Villegas.
Monte Carlo and Multilevel Monte Carlo Methods with Applications in Financial Engineering
(2025) Sinha, Devang
We undertake an in-depth investigation of the Monte Carlo simulation approach and its various extensions to tackle computationally demanding problems that frequently arise in the field of Quantitative Finance. Specifically, we concentrate on three major domains: derivative pricing, risk management, and portfolio optimization, each of which involves significant computational complexity. By leveraging advanced Monte Carlo techniques, we aim to improve numerical efficiency, accuracy, and convergence rates in these financial applications.