Entropy Of Activation Research Articles

Positive activation entropy of Bacillus circulans xylanase catalyzed ONPX2 hydrolysis: A mechanistic and engineering study

Transition state (TS) stabilization by enzymes greatly accelerates catalytic reactions. For some enzymes, the TS complex has entropy higher than enzyme substrate (ES) complex. But the origin of favorable entropy remains unclear. In this work, we studied the mechanism of Bacillus Circulans xylanase (BCX) 11 catalyzed o-nitrophenyl β-xylobioside (ONPX2) glycoside hydrolysis. The catalytic reaction exhibits a positive activation entropy, and an increase in ionic strength leads to a decrease in entropy without affecting the activation free energy, indicating that the entropy is predominantly influenced by electrostatic forces. Moreover, NMR measurements of electrostatic attractions within the active site demonstrate a positive entropy, aligning with molecular dynamics (MD) simulations showing that electrostatic interactions contribute to the entropic stabilization of the TS complex. These findings suggest that the positive entropy primarily originates from alterations in electrostatic interactions due to the formation of the oxocarbenium ion at C1 in the TS. Differences of electrostatic interactions in ES and TS modify hydrogen bonding of surrounding residues in the active site which causes their side chain dynamics and thus conformational entropy changes. Residues critical for the positive activation entropy are identified. A new BCX mutant with an increased activation entropy and catalytic activity is found.

Reaction Kinetics of the Benzylation of Adenine in DMSO: Regio-Selectivity Guided by Entropy.

The factors governing the regio-selectivity of the alkylation of adenine have been of interest for many years due to the biological importance of adenine derivatives, however, no reaction kinetic studies have been conducted. Herein, we report the rate constants and activation parameters of the benzylation of adenine under basic conditions in DMSO in the absence and presence of 15-crown-5 ether using real-time 1H NMR spectroscopy. The reaction is second-order for the formation of the N9- and N3-benzyladenine products, with a regio-selectivity factor 2.3 in favour of the N9-adduct. The Gibbs free energy of activation amounts to 87±2 kJ mol-1 for both reactions. The formation of the N9-adduct is more activated by 7 kJ mol-1, but its effect is offset by a less negative activation entropy, demonstrating that the long-contested reason for the regioselectivity in the benzylation of adenine is dominated by compensation of entropy and enthalpy in the transition state. The kinetic parameters obtained in the presence of the 15-crown-5 ether indicate that the crown ether forms a complex with an adenine-sodium ion-pair, increasing the activation barrier. However, the Gibbs free energy in the absence and presence of the crown ether remains constant.

Thermally induced transformation tert-butyl peroxyethyl esters of carboxylic acids

The features of thermolysis of tert-butyl peroxyethyl esters of carboxylic acids (CH₃)₃COOCH(CH₃)OC(O)R are investigated. Based on the identification of reaction products and the analysis of kinetic parameters, the fact of simultaneous transformation of four bonds (O–O, C–O, C–C and C–H) in a molecule with the formation of two molecules was proved for the first time [RC(O)OH and CO] and two free radicals [(CH₃)₃CO• and •CH₃], which, under experimental conditions, do not enter into a cross-break reaction, but detach the hydrogen atom from the solvent. Evidence of the coordinated (simultaneous) transformation of four bonds is the low (compared with the energy of bond dissociation) values of the activation energy and the pre-exponential multiplier, as well as negative values of the activation entropy.

Configuration entropy and non-Arrhenius behavior in the α relaxation of glassy dielectrics

Applying Eyring equation to experimental data for the α relaxation of glassy dielectrics shows the fundamental role of the activation entropy in the relaxation dynamics. The combination of Eyring equation and compensation law gives access to other important parameters, such as the compensation temperature and the absolute value of the configurational activation entropy, ΔSC, in the Arrhenius regime. The non linear behavior observed at low temperatures is explained by the time and temperature variation of the configurational activation entropy. We propose that this change corresponds to the rarefaction of free equilibrium states as T is lowered. A simple method is proposed to calculate ΔSC from the change of free energy in the non linear regime. The lowest temperature limit of the a relaxation is not known but it seems unlikely that it would be the VTF or the Kauzmann temperatures. Brief comments on the physical significance of these two parameters are made. It is also shown that relaxation times are not invariant, as sometime suggested

Microwave Dielectric Study of Binary Mixture of Ethyl Acetate with Propylene Glycol using Time Domain Reflectometry Technique

Microwave dielectric study for the binary mixtures of ethyl acetate with propylene glycol was performed over the frequency range of 10 MHz –20 GHz and in the temperature range of 288 K to 318 K using time domain reflectometry technique. Dielectric parameters such as static dielectric constant (εs), relaxation time (τ), excess dielectric constant (εs)E, excess inverse relaxation time (1/τ)E, Kirkwood correlation factor (geff), Bruggeman factor (fB) and thermodynamic parameters viz. molar enthalpy of activation, molar entropy of activation were also determined. Variation of measured dielectric and thermodynamic parameters have been used to explain the intermolecular interactions between the ethyl acetate and propylene glycol.

Syntheses, Structures, and Thermal Decomposition Kinetics of Two Silver/Copper‐Based Coordination Compounds with 1,2,4‐Triazole‐Containing Ligand

AbstractIn this work, two silver/copper‐based coordination compounds {[Ag(tty)]⋅NO3}n (1) and {[Cu2Cl2(tty)2(H2O)2]⋅Cl⋅NO3 ⋅ (H2O)2}n (2) (tty=1,2,4,5‐tetra(1H‐1,2,4‐triazol‐1‐yl))benzen), were synthesized using the different metal salts under the hydrothermal condition. Structural analyses show that compound 1 features tilted L‐shaped 1D Ag chains structure and compound 2 presents a 2D layer with free Cl−, NO3− and water molecules. The experimental results reveal that 1 displays considerably high thermal stability with the thermal decomposition temperature above 337 °C compared to compound 2, which further exemplifies that the framework structures may have a crucial effect on the resultant thermal stability. Additionally, the non‐isothermal kinetics parameters were evaluated at different heating rates by Kissinger's and Ozawa‐Doyle's methods. Importantly, the kinetic triplets (the apparent activation energy (Ea), the preexponential factor (logA) and the mechanism function (ƒ(α)) and the related thermodynamic parameters (the Gibbs energy of activation, ▵G≠, the enthalpy of activation, ▵H≠, and the entropy of activation, ▵S≠) of the thermal decomposition processes are discussed and calculated in detail.

Dielectric relaxation study of pyridine-n-propyl alcohol mixture using time domain reflectometry technique

ABSTRACT The Time Domain Reflectometry (TDR) technique was used to analyse the complex permittivity spectra of the Pyridine-n-propyl alcohol mixture across the concentration and temperature range of 10–25°C. The Cole-Davidson model was used to match the Pyridine- n-propyl alcohol complex permittivity spectra. The nonlinear least squares fit approach has been used to obtain the Static dielectric constant (ε0), Relaxation time (τ), Effective Kirkwood correlation factor (geff) Excess permittivity ε 0 E , Thermodynamic parameters (activation enthalpy and activation entropy), and Bruggeman factor (fB). Furthermore, the analysis of excess characteristics and the Bruggeman factor points towards the presence of hydrogen bonding between the pyridine and n-propyl alcohol molecules.

Entropy generation outcomes in peristalsis of Carreau–Yasuda nanofluid flow with activation energy

AbstractThis paper focuses on the study of activation energy and entropy generation in the peristaltic flow of a Carreau–Yasuda nanofluid. Peristaltic transport, coupled with entropy generation and activation energy in a curved geometry, has significant applications in biomedical and industrial processes involving non‐Newtonian fluids. Blood flow in the arteries, the movement of chyme in the gastrointestinal tract, and peristaltic motion replicate the natural muscular contractions that drive fluid flow in the physiological systems. The integration of entropy generation allows for the evaluation of energy efficiency and the analysis of losses due to viscous dissipation. Activation energy plays a crucial role in processes such as drug delivery, where temperature‐sensitive reactions or biochemical changes affect fluid behavior. In industrial applications, like peristaltic pumps in chemical reactors or polymer processing, the consideration of entropy and activation energy aids in optimizing thermal management and reaction rates. The mathematical model is developed under these assumptions, and the governing equations are numerically solved using the NDSolve function in Mathematica. Graphical results show that higher activation energy and concentration reduce the reaction rate, while the Bejan number and entropy generation increase with a larger Brinkman number. Velocity and temperature increase under slip conditions, whereas concentration decreases, and a stronger radial magnetic field reduces both velocity and the size of the trapped bolus.

A Mobile Opportunistic Routing Algorithm Based on Mobility Classification

The advancement of novel technologies has positioned mobile wireless networks as the central focus of computer technology research. The selection process for the subsequent relay node in message forwarding holds paramount importance and is deemed critical. Drawing inspiration from Social Mobility theory, this paper presents a pioneering node classification model that categorizes all nodes into three distinct types. Furthermore, we introduce the concept of Active Entropy, where the numerical value of Active Entropy serves as a metric for message forwarding. Consequently, the routing algorithm transforms into a limited set of strategies between nodes belonging to different types. This routing algorithm offers numerous advantages including enhanced delivery rate, reduced network overhead ratio and decreased transmission delay. We evaluate and compare the performance of our proposed algorithm with that of DFDL algorithm and Prophet algorithm on the ONE simulation platform. Experimental results demonstrate that our proposed algorithm achieves a delivery rate at least 15% higher compared to the other two algorithms while also reducing overhead ratio.

Mesoporous, high surface area and microrod-shaped cobalt (II) coordination polymer for assessment of molecular structure, thermolysis and non-isothermal kinetics parameters

This study is significant as it presents the assessment of molecular identification, thermal degradation, and non-isothermal kinetics of a cobalt (II) coordination polymer [Co (II) CPs] synthesized from suberoyl bis (2-ethoxybenzamide) (sbebz) and cobalt acetate through the condensation process. The condensation product sbebz was obtained from suberoyl chloride and 2-ethoxybenzamide. The XRD, FT-IR, Raman, and XPS investigated as aspects to identify its structure, purity, and chemical state. The morphological facet was confirmed by SEM and TEM. The morphology data revealed a microrod-shaped morphology of Co (II) CPs with an average particle size 0.7 µm to 1 µm. The pore size, and surface properties were examined by Brunauer-Emmett-Teller (BET) and atomic force microscopy (AFM), revealing a highly large surface area (1076 m2/g), mesoporous and monodisperse nature. The molecular interaction of ligand was estimated using protein molecule. The thermal-decomposition behavior and non-isothermal kinetics of Co (II) CPs were estimated at different heating rates (5 °C/min, 10 °C/min, 15 °C/min, and 20 °C/min) under nitrogen atmosphere by thermogravimetry/Derivative thermogravimetry (TG/DTG). As-synthesized Co (II) CPs show enhanced thermal stability compared to the ligand (sbebz). The multiple heating TG/DTG curve exhibits a more or less identical degradation profile/pattern. The kinetic parameters like order of reaction (n), pre-exponential Arrhenius factor (A), activation entropy (∆s), activation energy (Ea), activation free-energy (∆G), and activation enthalpy (∆H) were calculated using Coats-Redfern (CR) method.

Literature Review on Thermodynamic and Kinetic Limitations of Thermal Decomposition of Methane

The state of the art in methane pyrolysis does not yet provide a definitive answer as to whether the concept of an elementary reaction is universally applicable to the apparently simple process of methane dissociation. Similarly, the literature currently lacks a comprehensive and unambiguous description of the methane pyrolysis process and, in particular, a single model that would well represent its course at both the micro and macro scales. Given the wide range of conditions under which this reaction can occur—whether thermal or thermo-catalytic, in solid or fluidized bed reactors—it is crucial to evaluate the usefulness of different kinetic models and their compatibility with basic thermodynamic principles and design assumptions. To address these research gaps, the authors analysed the thermodynamic and kinetic dependencies involved in the thermal decomposition of methane, using the synthesis of methane from its elemental components and its reversibility as a basis for exploring suitable kinetic models. Using experimental data available in the literature, a wide range of kinetic models have been analysed to determine how they all relate to the reaction rate constant. It was found that regardless of whether the process is catalytic or purely thermal, for temperatures above 900 °C the reversibility of the reaction has a negligible effect on the hydrogen yield. This work shows how the determined kinetic parameters are consistent with the Kinetic Compensation Effect (KCE) and, by incorporating elements of Transition State Theory (TST), the possibility of the existence of Entropy–Enthalpy Compensation (EEC). The indicated correspondence between KCE and EEC is strengthened by the calculated average activation entropy at isokinetic temperature (∆SB=−275.0 J·(mol·K)−1). Based on these results, the authors also show that changes in the activation energy (E=20–421 kJ·mol−1) can only serve as an estimate of the optimal process conditions, since the isoconversion temperature (Tiso=1200−1450 K>Teq) is shown to depend not only on thermodynamic principles but also on the way the reaction is carried out, with temperature (T) and pressure (P) locally compensating each other.

Physicochemical Characterization and Thermodynamic Analysis of Avocado Oil Enhanced with Haematococcus pluvialis Extract

The consumption of fatty acids offers significant health benefits; however, they are prone to degradation by environmental factors. One method to preserve these fatty acids is the addition of synthetic antioxidants. This study focuses on the determination of peroxide and MDA formation rates at temperatures of 25 °C, 45 °C, and 65 °C. The oxidative stability of cold-pressed avocado oil was evaluated using pure astaxanthin, TBHQ, and H. pluvialis extract at concentrations of 100, 500, and 1000 ppm. Kinetic models and thermodynamic analysis were applied to determine the oxidation rate and compare the antioxidant effects of H. pluvialis extract with astaxanthin and TBHQ. The Arrhenius model was used to estimate activation energy (Ea), enthalpy, entropy, and free energy. Avocado oil with 500 ppm of H. pluvialis extract showed antioxidant effects comparable to TBHQ and pure astaxanthin. The activation energy of plain avocado oil was 40.47 kJ mol−1, while with H. pluvialis extract, it was 54.35 kJ mol−1. These findings suggest that H. pluvialis extract offers effective antioxidant properties and could serve as a natural alternative to synthetic antioxidants in food applications, despite the limitations of unprotected astaxanthin.

Drug-amino acid interaction: Molecular dynamics in aqueous medium using time domain reflectometry

Present work reports dielectric response of the non-steroidal anti-inflammatory drug (NSAID) aceclofenac in aqueous valine solutions at various concentrations and temperatures (278.15 K–298.15 K) in the frequency range of 0.01 GHz to 30 GHz using Time-domain reflectometry (TDR) technique. The frequency dependent complex dielectric permittivity has been analyzed by Harviliak-Negami equation. Debye model is used for the description of complex dielectric permittivity spectra ε*(ν). The structural and dynamical properties of water has been investigated at different concentrations of valine and aceclofenac using dielectric as well as thermodynamic parameters that includes static dielectric constant (ε0), relaxation time (τ0), Kirkwood correlation factor (g), free energy of activation (ΔF), entropy of activation (ΔS), and enthalpy of activation (ΔH). Towards the measured low temperature and high concentrations of Valine and Aceclofenac (ACF), static dielectric constant (ε0) was found to be increasing. This could be due to increased effective dipole-dipole parallel alignment and can be confirmed by the increasing values of correlation factor (g > 1). The dipole-dipole interaction between Drug-Amino acid resulted in increased dielectric relaxation time (τ0) of system due to increased steric hindrance for the rotation of dipoles. The free energy of activation was found to be in the range of 2.22 and 2.58 Kcal mol-1. The entropy is more negative at high concentration suggesting more ordered structure. The slope of log (Tτ0) vs. 1000/T gives the value of enthalpy (ΔH).

Study of molecular interaction between benzaldehyde and methanol using microwave dielectric relaxation spectroscopy and radial distribution function

A microwave dielectric relaxation study was conducted for mixtures of benzaldehyde (BZ) and methanol (MeOH) over a frequency range of 200 MHz to 20 GHz at seven different temperatures, ranging from 293.15 K to 323.15 K. The dielectric relaxation parameters, obtained through a fitting process, were used to examine their dependence on concentration and temperature. Thermodynamic parameters, such as Gibbs free energy (ΔG), molar enthalpy of activation (ΔH), and molar entropy of activation (ΔS), were evaluated using the temperature dependence of the dipolar relaxation time. The study provided valuable insights into the molecular interactions and dynamic behavior of the components in the binary mixture system. Additionally, a molecular dynamics (MD) simulation study was conducted on the binary mixture of BZ and MeOH to determine the Radial Distribution Function (RDF) and coordination number for different pairs of molecules and atoms, which revealed information about the binding and arrangement of the local structure.

Unveiling the Role of Pyridinic Nitrogen and Diacetylene in the Hydrogen Evolution Reaction through Model Catalysts Prepared by On-Surface Reactions.

Metal-free carbon materials (MFCMs) have extensive applications in electrocatalysis because of their comparable catalytic activity to that of Pt/C in some cases. Understanding the structure-property relationship is crucial for the reasonable design of more efficient catalysts. To reveal the structure-property relationship of the hydrogen evolution reaction (HER), we prepared nanowire model catalysts on single-crystalline Au(111) electrodes through state-of-the-art on-surface synthesis. Temperature-dependent experiments were conducted to evaluate the HER activity of the nanoribbons functionalized with pyridinic nitrogen and diacetylene. According to our electrochemical results (overpotential, current density j0, and apparent activation energy), we demonstrate that the participation of diacetylene can promote the catalytic reaction for the HER through a synergistic effect. Based on the analysis of the activation entropy for the model catalysts, we attribute the synergistic effect of diacetylene groups to the large area of π···H-O bonding in the electric double layer, thus providing direct insight into the structural-property relationship of polymerized nanoribbons for the HER through the rational design of precursor structures. The nanoribbons prepared by on-surface synthesis can serve as prototype systems for model catalytic research on MFCMs.

Synthesis and characterization of a nanocatalyst consisting of tungsten (VI) oxide and ruthenium for potential use in the hydrogen generation via hydrolysis of methylamine-borane

The demand for effective and safe chemical storage systems as an alternative energy carrier is unabated. This study reports the analysis of methylamine-borane (MeAB) as a new, efficient, and widely applicable technological storage material for mobile applications. Here, we report the preparation of tungsten (VI) oxide (WO3) supported ruthenium (Ru) nanoparticles (Ru/WO3) by impregnation-reduction method and their use as a nanocatalyst in the hydrolysis of MeAB for hydrogen (H2) production. Ru/WO3 nanocatalyst was characterized by a combination of advanced analytical tools such as XRD, XPS, TEM, TEM-EDX, SEM, and SEM-EDX. Ru/WO3 nanocatalyst, with an average particle size of 2.16 ± 0.23 nm obtained from TEM analysis, produces H2 at 298 K with an initial turnover frequency (TOFinitial) value of 43.57 min−1 in complete conversion in the hydrolysis of MeAB. In addition, the activation energy (Ea#), activation enthalpy (ΔH#) and activation entropy (ΔS#) values of the Ru/WO3 nanocatalyst were calculated as in MeAB hydrolysis are 51.54 kJ/mol, 3.7 kJ/mol and 184.57 J/mol × K, respectively, from the Arrhenius and Eyring-Polanyi equations. It was concluded that both the calculated TOFinitial value and activation parameters were quite valuable compared to previous catalysts used for MeAB hydrolysis.

Application of ANN and RSM for Rhodamine B and Safranine-O Decolorization on Zinc-Carbon Battery Waste Derived Ag/CoFe-LDH/rGO Catalyst.

The present work is first aimed at recovering graphite from carbon rods of waste zinc-carbon (Zn-C) batteries for applications such as wastewater treatment, in order to contribute to the development of a sustainable environment. Then, a composite material, cobalt-iron layered double hydroxide combination with reduced graphene oxide, and with subsequent Ag nanoparticles deposition via NaBH4 reduction method (Ag/CoFe-LDH/rGO) was prepared for the catalytic activity of Rhodamine B (RhB) and Safranine-O (SO) as model contaminants from aquatic media. The catalytic activity of RhB and SO by Ag/CoFe-LDH/rGO in the presence of NaBH4 was studied to model and optimize the process parameters (NaBH4 amount, reaction time, initial dye concentration (Co), and catalyst dosage) via central composite design (CCD)-response surface methodology (RSM). Also, an artificial neural network (ANN) model was developed to estimate the catalytic activity of each dye using an RSM data set. The catalytic activities of 99.54% and 99.96% were obtained for RhB and SO dyes, respectively, under the optimal conditions: NaBH4 amount 12.32 mM, reaction time 3.19 min, Co 33.46 mg/L, and catalyst dosage 1.24 mg/mL for RhB dye; NaBH4 amount 16.76 mM, reaction time 3.06 min, Co 15.10 mg/L, and catalyst dosage 1.46 mg/mL for SO dye. The optimum conditions of process parameters by ANN with gray wolf optimizer (GWO) were in good agreement with the points determined the RSM-CCD. These results demonstrate that RSM and ANN approaches can be applied practically and efficiently to maximize the catalytic activity of RhB and SO by Ag/CoFe-LDH/rGO in the existence of NaBH4. On the other hand, from the kinetic and thermodynamic studies, the positive activation enthalpy, ΔH# and the negative activation entropy, ΔS# values for each dye demonstrated that the catalytic performance was endothermic and less random at the solid/liquid interface.

Computation of rate coefficients in solutions based on transition state theory combined with a heuristically corrected polarizable continuum model: intermolecular Diels-Alder reactions as case studies.

Transition state theory (TST) based on activation parameters computed using quantum mechanics calculations combined with the polarizable continuum model (QM/PCM) is a fundamental tool for investigating reaction rates in the liquid phase. In conventional QM/PCM methods, thermodynamic data and partition functions for a solute are often derived from a quasi-ideal gas treatment (IGT) widely implemented in commercially available computation packages. This approach tends to overestimate entropy because calculations of thermodynamic parameters in the liquid phase ignore hindered translational and rotational modes in real solutions. The present work formulated partition functions for more realistic solutes hindered by surrounding solvent molecules in conjunction with the basic QM/PCM concept. In addition, a configuration partition function for solute molecules at a standard concentration of 1 mol dm-3 was incorporated using a simple lattice model. The canonical partition function and thermodynamic functions were derived based on statistical thermodynamics for localized systems. Expressions for rate coefficients within TST were also derived with a consistent formalism based on the standard state selected in partition function calculations. The performance of the proposed method was assessed by predicting rate coefficients for three different Diels-Alder reactions and comparing these with experimental results. QM/PCM calculations at the G4//ωB97X-D/6-311++G(d,p)/IEF-PCM level of theory with corrections for the dispersion and repulsion energies were performed to obtain the electronic structures of stationary points on potential energy surfaces as a means of finding activation enthalpy, entropy and Gibbs energy values based on revised partition functions as well as predicting rate coefficients. The activation Gibbs energies obtained from our proposed method were lower than those obtained from the IGT method due to reasonable entropy computations. The proposed method overestimated the rate coefficients by one to two orders of magnitude compared to the experimental values, whereas the IGT method underestimated them by the same amount. This discrepancy arises because the proposed method calculates the partition function from the viewpoint of a localized system, whereas the IGT method calculates it from the viewpoint of a non-localized system. Given that actual liquids exist in a state between non-localized and localized systems, it is essential to formulate the partition function in a way that more accurately represents the liquid state.

Iodonium and Telluronium Triflates Serving as Noncovalent Organocatalysts Provide Catalytic Effect in the Schiff Condensation Due to Different Reasons

AbstractSulfonium, selenonium, telluronium triflates, as well as chloronium, bromonium, and iodonium triflates have been examined in the model Schiff condensation as chalcogen‐ and halogen bond donating organocatalysts, respectively. The kinetic data indicated that the catalytic effect of the telluronium salt is provided via the decrease of enthalpy of activation of the reaction, whereas the catalytic effect of the iodonium salt – unexpectedly – is caused by the decrease of the value of the entropy of activation. In addition, it was experimentally shown that the catalytic activity of sulfonium and selenonium salts is significantly lower than that of chloronium and bromonium salts, but the latter pair of species is significantly less stable under the reaction conditions than the former pair.

(Ce, Nd) co-doped TiO2 NPs via hydrothermal route:Structural, optical, photocatalytic and thermal behavior

Rare earth (Ce, Nd) doped/co-doped titania (TiO2) nanoparticles were successfully produced by hydrothermal route. Titanium isopropoxide (IV), cerium nitrate hexahydrate and neodymium nitrate hexahydrate were utilized as raw/starting materials. The effect of Ce and Nd doping/co-doping in TiO2 were studied through different complementary tools such as XRD, FTIR, FE-SEM, EDX, XPS, UV–Visible, PL, photocatalytic and thermal analysis. XRD spectra revealed anatase tetragonal phase and cubic phase due to titania and ceria nanoparticles respectively. The crystallite size, lattice constants, volume and no. of unit cell were determined through XRD data. Optical studies revealed the band gap, urbach energy, extinction coefficient, refractive index, optical conductivity and photoluminescence emission wavelength. FTIR spectra investigated the chemical bondings and functional groups present in prepared samples. Optical absorption spectra confirmed that absorption edge is red shifted, indicating a decrease in band gap from 3.5 to 3.0 eV with the incorporation of rare earth ions (Ce, Nd) in TiO2 matrix. The rate of electron-hole pair recombination was reduced through co-doping of (Ce, Nd) in TiO2 lattice as exhibited by reduction in intensity of photo luminescence spectra. The photocatalytic efficiency was enhanced with the integration of rare earth metal ions in TiO2 matrix for different dyes such as rhodamine B (RhB) and malachite green (MG) with visible light irradiation. The degradation efficiency of (Ce, Nd) co-doped TiO2 NPs against RhB and MG dyes was found to be 89 and 95 % respectively. TGA analysis was carried out to find weight loss during different thermodynamic phases such as dehydration, decomposition and combustion, and crystallization. Various thermodynamic parameters such as activation energy, entropy and enthalpy were estimated by thermal analysis.