# Accession Number:

## AD0614039

# Title:

## A CONSISTENT-VIBRATIONS MODEL OF THE INTERNAL DYNAMICS OF LIQUID HYDROGEN

# Descriptive Note:

## Rept. for 1 Oct 1963-30 Sep 1964

# Corporate Author:

## GENERAL DYNAMICS CORP FORT WORTH TX

# Personal Author(s):

# Report Date:

## 1965-03-01

# Pagination or Media Count:

## 63.0

# Abstract:

A model describing the internal dynamics of a nonassociated liquid was constructed for use in the calculation of cold-neutron scattering cross sections and free radical recombination rates in liquid hydrogen. The proposed model assumes that the specification of a given temperature and density implies a quiescent state in which each molecule vibrates with random phase in a field set up by the sum of the position probability densities of its neighbors, the central sites of which comprise a close-packed quasi-lattice. A computer program was written to calculate the consistent vibration frequency, the molecular well depth, the internal energy, the entropy, and the free energy of a liquid with a given temperature and density and with known Lennard-Jones parameters of the intermolecular interaction. Application of the program to the case of liquid hydrogen at points on the P-V-T surface ranging from 20 to 28K along the saturation line gave predictions of thermodynamic properties which are in good agreement with experimental data. It is tentatively concluded that the model anticipates the most significant general features of motion in the liquid and may be implemented in calculations of cross sections and recombination rates which are dependent on the details of the internal dynamics and microscopic structure.

# Descriptors:

- *LIQUEFIED GASES
- *LIQUID ROCKET PROPELLANTS
- TEMPERATURE
- VIBRATION
- DAMAGE
- REACTION KINETICS
- THERMODYNAMICS
- EXCITATION
- QUANTUM THEORY
- CRYSTAL LATTICES
- PHASE STUDIES
- HYDROGEN
- CHEMICAL BONDS
- RECOMBINATION REACTIONS
- FREE RADICALS
- STATISTICAL MECHANICS
- MOLECULAR PROPERTIES
- ENTROPY
- NEUTRON CROSS SECTIONS
- SPACECRAFT NUCLEAR PROPULSION
- MATHEMATICAL MODELS
- DENSITY

# Subject Categories:

- Inorganic Chemistry