Charge-dependent conformations and dynamics of pamam dendrimers revealed by neutron scattering and molecular dynamics

Neutron scattering and fully atomistic molecular dynamics (MD) are employed to investigate the structural and dynamical properties of polyamidoamine (PAMAM) dendrimers with ethylenediamine (EDA) core under various charge conditions. Regarding to the conformational characteristics, we focus on scrutinizing density profile evolution of PAMAM dendrimers as the molecular charge of dendrimer increases from neutral state to highly charged condition. It should be noted that within the context of small angle neutron scattering (SANS), the dendrimers are composed of hydrocarbon component (dry part) and the penetrating water molecules. Though there have been SANS experiments that studied the charge-dependent structural change of PAMAM dendrimers, their results were limited to the collective behavior of the aforementioned two parts. This study is devoted to deepen the understanding towards the structural responsiveness of intra-molecular polymeric and hydration parts separately through advanced contrast variation SANS data analysis scheme available recently and unravel the governing principles through coupling with MD simulations. Two kinds of acids, namely hydrochloric and sulfuric acids, are utilized to tune the pH condition and hence the molecular charge. As far as the dynamical properties, we target at understanding the underlying mechanism that leads to segmental dynamic enhancement observed from quasielstic neutron scattering (QENS) experiment previously. PAMAM dendrimers have a wealth of potential applications, such as drug delivery agency, energy harvesting medium, and light emitting diodes. More importantly, it is regarded as an ideal system to test many theoretical predictions since dendrimers conjugate both colloid-like globular shape and polymer-like flexible chains. This Ph.D. research addresses two main challenges in studying PAMAM dendrimers. Even though neutron scattering is an ideal tool to study this PAMAM dendrimer solution due to its matching temporal and spatial instrumental scales, understanding experimental results involves extensive and difficult data analysis based on liquid theory and condensed matter physics. Therefore, a model that successfully describes the inter- and intra-dendrimer correlations is crucial in obtaining and delivering reliable information. On the other hand, making meaningful comparisons between molecular dynamics and neutron scattering is a fundamental challenge to link simulations and experiments at the nano-scale. This challenge stems from our approach to utilize MD simulation to explain the underlying mechanism of experimental observation. The SANS measurements were conducted on a series of SANS spectrometers including the Extended Q-Range Small-Angle Neutron Scattering Diffractometer (EQ-SANS) and the General-Purpose Small-Angle Neutron Scattering Diffractometer (GP-SANS) at the Oak Ridge National Laboratory (ORNL), and NG7 Small Angle Neutron Scattering Spectrometer at National Institute of Standards (NIST) and Technology in U.S.A., large dynamic range small-angle diffractometer D22 at Institut Laue-Langevin (ILL) in France, and 40m-SANS Spectrometer at Korea Atomic Energy Research Institute (KAERI) in Korea. On the other hand, the Amber molecular dynamics simulation package is utilized to carry out the computational study. In this dissertation, the following observations have been revealed. The previously developed theoretical model for polyelectrolyte dendrimers are adopted to analyze SANS measurements and superb model fitting quality is found. Coupling with advanced contrast variation small angle neutron scattering (CVSANS) data analysis scheme reported recently, the intra-dendrimer hydration and hydrocarbon components distributions are revealed experimentally. The results indeed indicate that the maximum density is located in the molecular center rather than periphery, which is consistent to previous SANS studies and the back-folding picture of PAMAM dendrimers. According to this picture, at neutral condition, the exterior residues folding back into interior would necessarily lead to higher entropy and equivalently lower free energy and thereby is energetically favored. As one decreases the pH condition of PAMAM dendrimers, the constituent residues would carry positive charges. The resultant inter-residue Coulomb repulsion would naturally result in conformational evolution. We found from CVSANS analysis that when dendrimers are charged by different acids, this conformational evolution is not the same. For dendrimers charged by DCl, the mass is seen to relocate from molecular interior to periphery. Nevertheless, those acidified by D 2SO4 exhibit surprisingly minor structural change under variation of molecular charge. To explain the above observation, we performed MD simulations and calculated the excess free energy of Cl- and SO 42- counterions. The binding between sulfate ions and charged amines of PAMAM dendrimers are found to be much stronger than the case for chlorides. This more energetic binding would serve as better screening effect among charged residues. Consequently, electrostatic repulsion triggered outstretching tendency is effectively diminished. In order to make direct comparison between MD simulations and neutron scattering experiments, we proposed and implemented a rigorous method, which incorporates the contribution from those invasive water molecules, to calculate scattering functions of a single PAMAM dendrimer using equilibrium MD trajectories. The bridge between neutron scattering experiments and MD simulation is successfully established. Aside from structural comparisons between MD simulations and experiments, we utilized MD simulation to decipher the previously reported QENS experimental observation that the segmental dynamics of PAMAM dendrimer would enhance with increasing molecular charge. We pursued the mechanism from the perspective of hydrocarbon component of dendrimer and solvent (water) interaction as a form similar to hydrogen bonding. It is found that the population of this bonding would increase and the corresponding relaxation would slow down as molecular charge increases. We perceive that through more and longer interaction between penetrating water molecules and polymeric part of dendrimer, the dynamics of latter could be enhanced.