Research Interests

 

Frank's research interests include molecular theory of water and aqueous solutions; phase transitions; glass physics; geometric aspects of packing problems; energy landscape analyses of condensed-matter phenomena; fundamental aspects of quantum chemistry; molecular models for spontaneous breaking of chiral symmetry and its application to pre-biotic chemistry
 
His current research activities include the structure and kinetics
of metastable materials (especially glasses), the theoretical modeling of inverse melting phenomena, and molecular models for spontaneous breaking of chiral symmetry and its application to pre-biotic chemistry.

His past research activity has involved the molecular theory of water and aqueous solutions, the physical chemistry of solid and liquid surfaces, and atomic and molecular quantum theory. 

His discoveries include:

- Critical point confluence phenomena (2018)
- The perfect glass paradigm (2016)

- Existence of maximally-disordered jammed packings of monodisperse hard disks (2014).
- Microscopic model for chiral symmetry breaking (2010).
- Diamond and wurtzite structures self-assemble with isotropic pair potentials (2007).
- Statistical mechanical model for inverse melting (2003).
- Kinetically diverse energy landscapes with identical thermodynamics (2002).

- Convergence-limiting singularities in atomic and molecular quantum theory (2000).
- Connection between spinodal curves and mechanical strength of glasses (1997)
- Long-range broken symmetry in impurity-perturbed disk crystals (1995)
- Resolution of the translation-rotation paradox in fragile glass formers (1993)
- Planck's constant expansion for quantum mechanical bound states (1991)
- Impossibility of "ideal" glass transitions in molecular liquids (1988)
- Stillinger-Weber potential for silicon (1986)
- Inverse Lindemann criterion for freezing of liquids (1985)
- Inherent structure theory for liquids (1981)
- Axiomatic basis for spaces with fractional dimension (1977)
- Semiconductor heterostructures supporting bound states in the continuum (1977)
- "Fast sound" in water (1974)
- The Stillinger-Lovett second moment identity for electrolytes (1968)
- Capillary wave theory for liquid interfaces (1965).