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Bound and metastable states of triatomic van der Waals moleculesEaves, John Owen. January 1978 (has links)
Thesis--Wisconsin. / Vita. Includes bibliographical references.
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Model studies of the vibrations and unimolecular decay of Van der Waals moleculesHolmer, Bruce Kester. January 1983 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1983. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.
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Mathematical Theory of van der Waals forcesAnapolitanos, Ioannis 19 January 2012 (has links)
The van der Waals forces, which are forces between neutral atoms and molecules, play an important role in physics (e.g. in phase transitions), chemistry (e.g. in chemical reactions) and biology (e.g. in determining properties of DNA). These forces are
of quantum nature and it is long being conjectured and experimentally
verified that they have universal behaviour at large separations: they
are attractive and decay as the inverse sixth power of the pairwise
distance between the atoms or molecules.
In this thesis we prove the van der Waals law under the technical
condition that ionization energies (energies of removing electrons)
of atoms are larger than electron affinities (energies released when
adding electrons). This condition is well justified experimentally
as can be seen from the table,
\newline
\begin{tabular}{|c|c|c|c|}
\hline Atomic number & Element & Ionization energy (kcal/mol)& Electron affinity (kcal/mol) \\
\hline 1 & H & 313.5 & 17.3 \\
\hline 6 & C & 259.6 & 29 \\
\hline 8 & O & 314.0 & 34 \\
\hline 9 & F & 401.8 & 79.5 \\
\hline 16 & S & 238.9 & 47 \\
\hline 17 & Cl & 300.0 & 83.4 \\
\hline
\end{tabular}
\newline
where we give ionization energies and electron affinities for a
small sample of atoms, and is obvious from heuristic considerations
(the attraction of an electron to a positive ion is much stronger
than to a neutral atom), however it is not proved so far rigorously.
We verify this condition for systems of hydrogen atoms.
With an informal definition of the cohesive energy $W(y),\ y=(y_1,...,y_M)$
between $M$ atoms as the difference between the lowest (ground state) energy,
$E(y)$, of the system of the atoms with their nuclei fixed at the positions $y_1,...,y_M$
and the sum, $\sum_{j=1}^M E_j$, of lowest (ground state) energies of the
non-interacting atoms, we show that for $|y_i-y_j|,\ i,j \in \{1,...,M\}, i \neq j,$ large enough,
$$W(y)=-\sum_{i<j}^{1,M}
\frac{\sigma_{ij}}{|y_i-y_j|^6}+O(\sum_{i<j}^{1,M}
\frac{1}{|y_i-y_j|^7})$$
where $\sigma_{ij}$ are in principle computable positive constants depending
on the nature of the atoms $i$ and $j$.
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Mathematical Theory of van der Waals forcesAnapolitanos, Ioannis 19 January 2012 (has links)
The van der Waals forces, which are forces between neutral atoms and molecules, play an important role in physics (e.g. in phase transitions), chemistry (e.g. in chemical reactions) and biology (e.g. in determining properties of DNA). These forces are
of quantum nature and it is long being conjectured and experimentally
verified that they have universal behaviour at large separations: they
are attractive and decay as the inverse sixth power of the pairwise
distance between the atoms or molecules.
In this thesis we prove the van der Waals law under the technical
condition that ionization energies (energies of removing electrons)
of atoms are larger than electron affinities (energies released when
adding electrons). This condition is well justified experimentally
as can be seen from the table,
\newline
\begin{tabular}{|c|c|c|c|}
\hline Atomic number & Element & Ionization energy (kcal/mol)& Electron affinity (kcal/mol) \\
\hline 1 & H & 313.5 & 17.3 \\
\hline 6 & C & 259.6 & 29 \\
\hline 8 & O & 314.0 & 34 \\
\hline 9 & F & 401.8 & 79.5 \\
\hline 16 & S & 238.9 & 47 \\
\hline 17 & Cl & 300.0 & 83.4 \\
\hline
\end{tabular}
\newline
where we give ionization energies and electron affinities for a
small sample of atoms, and is obvious from heuristic considerations
(the attraction of an electron to a positive ion is much stronger
than to a neutral atom), however it is not proved so far rigorously.
We verify this condition for systems of hydrogen atoms.
With an informal definition of the cohesive energy $W(y),\ y=(y_1,...,y_M)$
between $M$ atoms as the difference between the lowest (ground state) energy,
$E(y)$, of the system of the atoms with their nuclei fixed at the positions $y_1,...,y_M$
and the sum, $\sum_{j=1}^M E_j$, of lowest (ground state) energies of the
non-interacting atoms, we show that for $|y_i-y_j|,\ i,j \in \{1,...,M\}, i \neq j,$ large enough,
$$W(y)=-\sum_{i<j}^{1,M}
\frac{\sigma_{ij}}{|y_i-y_j|^6}+O(\sum_{i<j}^{1,M}
\frac{1}{|y_i-y_j|^7})$$
where $\sigma_{ij}$ are in principle computable positive constants depending
on the nature of the atoms $i$ and $j$.
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Modeling of collection of non-spherical particle assemblies by liquid droplets under potential flow conditions/Selvi, İlker. Doymaz, Fuat January 2006 (has links) (PDF)
Thesis (Master)--İzmir Institute of Technology, İzmir, 2006. / Keywords: particle, collection, liquid droplets. Includes bibliographical references (leaves 65-67).
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Factors affecting polypeptide secondary structureCook, D. A. January 1967 (has links)
No description available.
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On the approach to local equilibrium and the stability of the uniform density stationary states of a Van der Waals gasLe, Dinh Chinh January 1970 (has links)
Some equilibrium and non-equilibrium properties of a gas of hard spheres with a long range attractive potential are investigated by considering the properties of an equation, proposed by deSobrino (1967), for a one-particle distribution function for the gas model considered. The solutions of this equation obey an H-theorem indicating that our gas model approaches local equilibrium. Equilibrium solutions of the kinetic equation are studied; they satisfy an equation for the density η(r) for which space dependent solutions exist and correspond to a mixture of gas and liquid phases.
The kinetic equation is next linearized and the linearized equation is applied to the study of the stability of the uniform density stationary states of a Van der Waals gas. A brief asymptotic analysis of sound propagation in dilute gases is presented in view of introducing an approximation of the linearized Boltzmann collision integral due to Gross and Jackson (1959). To first order, the dispersion in the speed of sound at low frequencies is the same as the Burnett and Wang Chang-Uhlenbeck values while the absorption of sound is slightly less than the Burnett value and slightly greater than the Wang Chang-Uhlenbeck value; all three are in good agreement with experiment. Finally, using the method developed in the previous section, an approximation for the linearized
Enskog collision integral is obtained; a dispersion relation is derived and used to show that the uniform density states which correspond to local minima of the free energy and traditionally called metastable, are in fact stable against sufficiently small perturbations. / Science, Faculty of / Physics and Astronomy, Department of / Graduate
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Structural studies of two simple molecular systems: the C2 Phillips band system and O2-(rare gas) Van der Waals complexes.January 2004 (has links)
Chan Wang-Ming. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 87-94). / Abstracts in English and Chinese. / TITLE PAGE --- p.i / THESIS COMMITTEE --- p.ii / ABSTRACT (ENGLISH) --- p.iii / ABSTRACT (CHINESE) --- p.v / ACKNOWLEDGEMENTS --- p.vi / TABLES OF CONTENTS --- p.vii / LIST OF FIGURES --- p.ix / LIST OF TABLES --- p.xii / Chapters / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Laser absorption spectroscopy of C2 Phillips System --- p.4 / Chapter A. --- Introduction --- p.4 / Chapter B. --- Quantum mechanics of C2 --- p.13 / Chapter C. --- Experimental details --- p.18 / Chapter D. --- Observation --- p.24 / Chapter E. --- Spectroscopic analysis --- p.30 / Chapter F. --- Discussion --- p.43 / Chapter G. --- Conclusion --- p.48 / Chapter 3 --- Computational study of O2-(rare gas) van der Waals complexes --- p.49 / Chapter A. --- Background --- p.49 / Chapter B. --- Van der Waals complexes: an overview --- p.60 / Chapter C. --- Methodology --- p.62 / Chapter D. --- Results --- p.65 / Chapter E. --- Discussion and Conclusion --- p.81 / Chapter 4 --- Concluding Remarks --- p.85 / REFERENCES --- p.87
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The dynamics and phase behavior of suspensions of stimuli-responsive colloidsCho, Jae Kyu. January 2009 (has links)
Thesis (Ph.D)--Chemical Engineering, Georgia Institute of Technology, 2010. / Committee Chair: Victor Breedveld; Committee Member: Eric W. Weeks; Committee Member: Hang Lu; Committee Member: J. Carson Meredith; Committee Member: L. Andrew Lyon. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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Dissociation dynamics of Van der Waals clusters of 3-amino-s-tetrazine in a molecular beam /Quevada, Nikko P. January 1997 (has links)
Thesis (Ph. D.)--University of Chicago, Dept. of Chemistry, December 1997. / Includes bibliographical references. Also available on the Internet.
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