selected publications
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academic article
- Silica dissolution catalyzed by NaOH: Reaction kinetics and energy barriers simulated by quantum mechanical strategies. Journal of Mineralogical and Petrological Sciences. 107:87-98. 2012
- Molecular mimicry of structure and electron density distributions in minerals. Materials Research Society Symposium Proceedings. 73:515-527. 2011
- Mathematical modeling of the structures and bulk moduli of TX2 quartz and cristobalite structure-types, T = C, Si, Ge and X = O,S. Materials Research Society Symposium Proceedings. 121:155-166. 2011
- Containment Property For Large Quotient Rings. Journal fur die Reine und Angewandte Mathematik. 258:55-61. 2009
- Transforms of Ideals in a Commutative Ring. Journal fur die Reine und Angewandte Mathematik. 258:186-191. 2009
- Shared and closed-shell O-O interactions in silicates. Journal of Physical Chemistry A. 112:3693-3699. 2008
- Note on a Characterization of Principal Ideal Domain. Proceedings of the Japan Academy, Series A. 51:526-527. 2007
- Synthesis and absorption spectra of large homogeneous single crystals of forsterite doped with manganese. Journal of Crystal Growth. 304:492-496. 2007
- Superstructure of Challis mordenite with doubled monoclinic unit cell. American Mineralogist. 92:892-897. 2007
- A physical basis for Pauling's definition of bond strength. Physics and Chemistry of Minerals. 30:317-320. 2003
- The electron localization function: a tool for locating favorable proton docking sites in the silica polymorphs. Physics and Chemistry of Minerals. 30:305-316. 2003
- A mapping of the electron localization function for the silica polymorphs: evidence for domains of electron pairs and sites of potential electrophilic attack. Physics and Chemistry of Minerals. 29:307-318. 2002
- A comparison of procrystal and ab initio model representations of the electron-density distributions of minerals. Physics and Chemistry of Minerals. 29:369-385. 2002
- Model Structures and Electron Density Distributions For the Silica Polymorph Coesite At Pressure: an Assessment of Oo Bonded Interactions. Journal of Physical Chemistry B. 104:10534-10542. 2000
- Model Structures and Properties of the Electron Density Distribution For Low Quartz At Pressure: a Study of the Sio Bond. Journal of Molecular Structure. 485:13-25. 1999
- A Generation of Framework Structures For the Tectosilicates Using a Molecular-based Potential Energy Function and Simulated Annealing Strategies. Microporous and Mesoporous Materials. 29:219-266. 1999
- Laplacian and Bond Critical Point Properties of the Electron Density Distributions of Sulfide Bonds: a Comparison with Oxide Bonds. American Mineralogist. 84:435-446. 1999
- Sio Bonded Interactions in Coesite: a Comparison of Crystalline, Molecular and Experimental Electron Density Distributions. Physics and Chemistry of Minerals. 26:264-272. 1999
- Power Law Relationships Between Bond Length, Bond Strength and Electron Density Distributions. Physics and Chemistry of Minerals. 25:585-590. 1998
- A Crystal Chemical Study of Protoanthophyllite: Orthoamphiboles with the Protoamphibole Structure. Physics and Chemistry of Minerals. 25:366-377. 1998
- A Study of the Bonded Interactions in Nitride Molecules in Terms of Bond Critical Point Properties and Relative Electronegativities. Physics and Chemistry of Minerals. 25:234-241. 1998
- Sio and Geo Bonded Interactions as Inferred from the Bond Critical Point Properties of Electron Density Distributions. Physics and Chemistry of Minerals. 25:574-584. 1998
- Tetrahedral Rigid-body Motion in Silicates. American Mineralogist. 80:680-690. 1997
- Atomic and Ionic Radii: a Comparison with Radii Derived from Electron Density Distributions. Physics and Chemistry of Minerals. 24:432-439. 1997
- Critical Point Properties of Electron Density Distributions For Oxide Molecules Containing First and Second Row Cations. Physics and Chemistry of Minerals. 24:582-596. 1997
- The Sio Bond and Electron Density Distributions. Physics and Chemistry of Minerals. 24:167-178. 1997
- First-principles Study of Several Hypothetical Silica Framework Structures. Frontiers in Forests and Global Change. 52:8064-8073. 1995
- Framework Silica Structures Generated Using Simulated Annealing with a Potential-energy Function-based on an H6si2o7 Molecule. Physics and Chemistry of Minerals. 21:269-284. 1994
- Bond-length and Radii Variations in Fluoride and Oxide Molecules and Crystals. Physics and Chemistry of Minerals. 20:617-624. 1994
- Bond Stretching Force-constants and Compressibilities of Nitride, Oxide, and Sulfide Coordination Polyhedra in Molecules and Crystals. Structural Chemistry. 5:349-355. 1994
- The Elusive SiO Bond in SILICA: Physical Behavior, Geochemistry and Materials Applications. Reviews in Mineralogy. 29:331-368. 1994
- Promolecule Radii For Nitrides, Oxides, and Sulfides - a Comparison with Effective Ionic and Crystal Radii. Journal of Physical Chemistry. 97:11445-11450. 1993
- Power-system Observability with Minimal Phasor Measurement Placement. IEEE Transactions on Power Systems. 8:707-715. 1993
- A Modeling of the Structure and Compressibility of Quartz with a Molecular-potential and its Transferability to Cristobalite and Coesite. Physics and Chemistry of Minerals. 20:123-135. 1993
- Interactive Software For Calculating and Displaying X-ray Or Neutron Powder Diffractometer Patterns of Crystalline Materials. American Mineralogist. 78:1104-1107. 1993
- Bond Length Variation in Hydronitride Molecules and Nitride Crystals. Physics and Chemistry of Minerals. 19:127-132. 1992
- Bonded and Promolecule Radii For Molecules and Crystals. American Mineralogist. 77:741-750. 1992
- An Application of Graph-theory to the Estimation of Bond Numbers in Crystals. Computers and Mathematics with Applications. 23:99-102. 1992
- Variations of Bond Lengths and Volumes of Silicate Tetrahedra with Temperature. American Mineralogist. 77:751-757. 1992
- A Study of the Mean-square Displacement Amplitudes of Si, Al, and O Atoms in Framework Structures - Evidence For Rigid Bonds, Order, Twinning, and Stacking-faults. American Mineralogist. 75:1253-1267. 1990
- Derivation of the Normalizers of the Space-groups. Acta Crystallographica Section A. 46:545-552. 1990
- The Dependence of the Sio Bond Length on Structural Parameters in Coesite, the Silica Polymorphs, and the Clathrasils. American Mineralogist. 75:748-754. 1990
- Inertia-preserving Secant Updates. Journal of Optimization Theory and Applications. 62:1-16. 1989
- Bond-length and Bonded-radii Variations in Sulfide Molecules and Crystals Containing Main-group Elements - a Comparison with Oxides. American Mineralogist. 74:620-626. 1989
- Matop - an Interactive Fortran-77 Program For Solving Problems in Geometrical Crystallography. Computers and Geosciences. 14:37-53. 1988
- Resonance Bond Numbers - a Graph-theoretic Study of Bond Length Variations in Silicate Crystals. Physics and Chemistry of Minerals. 15:409-415. 1988
- Molecular Mimicry of Bond Length and Angle Variations in Germanate and Thiogermanate Crystals - a Comparison with Variations Calculated For C-containing, Si-containing, and Sn-containing Oxide and Sulfide Molecules. Journal of Physical Chemistry. 91:5347-5354. 1987
- Molecular Mimicry of the Bond Length-bond Strength Variations in Oxide Crystals. Physics and Chemistry of Minerals. 14:327-331. 1987
- A Method For Calculating Fractional S-character For Bonds of Tetrahedral Oxyanions in Crystals. Physics and Chemistry of Minerals. 14:373-376. 1987
- Molecular Mimicry of the Geometry and Charge Density Distribution of Polyanions in Borate Minerals. American Mineralogist. 70:1238-1247. 1985
- Simple going down and going down. Houston Journal of Mathematics. 7:455-465. 1981
- Abnormalities in Noetherian Rings. Proceedings of the American Mathematical Society. 73:1-6. 1979
- A method for constructing and interpreting matrix representations of space group operations. Canadian Mineralogist. 16:293-300. 1978
- Strain-tensor Components Expressed in Terms of Lattice-parameters. Acta Crystallographica Section A. 34:52-54. 1978
- Adjunction of Anti-identity Operations to Point Groups, Including a Derivation of Magnetic Point Groups. Zeitschrift Fur Kristallographie. 145:197-215. 1977
- Cpi-extensions - Overrings of Integral Domains with Special Prime Spectrums. Canadian Journal of Mathematics. 29:722-737. 1977
- Derivation of 32 Crystallographic Point Groups Using Elementary Group-theory. American Mineralogist. 61:145-165. 1976
- Note on Pre-arithmetical Rings. Acta Mathematica Academiae Scientiarum Hungaricae. 28:257-259. 1976
- Thermal-expansion Coefficients For Monoclinic Crystals - Phenomenological Approach. American Mineralogist. 60:828-833. 1975
- Pre-prufer Rings. Pacific Journal of Mathematics. 58:331-344. 1975
- Valuation Structure of Homomorphic Images of Prufer Domains. Proceedings of the American Mathematical Society. 46:335-342. 1974
- Prufer Rings as Images of Prufer Domains. Proceedings of the American Mathematical Society. 40:87-90. 1973
- Prufer and valuation rings with zero divisors. Pacific Journal of Mathematics. 40:7-12. 1972
- Overlays of Pascal's triangle. Fibonacci Quarterly. 7:131-139. 1969
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book
- Brief Calculus with applications 1990
- Calculus with applications 1990
- Mathematical Crystallography, Reviews in Mineralogy Vol. 15 (Revised Edition) 1990
- Mathematical Crystallography, Reviews in Mineralogy Vol. 15 1985
- Understanding Basic Calculus: with applications from the managerial, social and life sciences 1978
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chapter
- Molecules as a basis for modeling the force field of silica. Structure and imperfections in amorphous and crystalline silicon dioxide. 153-165. 2000
- Search for a connection among bond strength, bond length, and electron density distribution. Physics meets mineralogy-Condensed matter Physics in Geosciences. 83-94. 2000
- A modeling of the bonded interactions of crystalline silica. The Chemistry of Organic Silicon Compounds. 103-118. 1998