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Physical Sciences and Mathematics Commons™

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1993

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Claremont Colleges

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Full-Text Articles in Physical Sciences and Mathematics

A Theoretical Investigation Of The Geometries, Vibrational Frequencies, And Binding Energies Of Several Mixed Alkali Halide Dimers, Robert J. Cave, Ian Ono '94 Dec 1993

A Theoretical Investigation Of The Geometries, Vibrational Frequencies, And Binding Energies Of Several Mixed Alkali Halide Dimers, Robert J. Cave, Ian Ono '94

All HMC Faculty Publications and Research

Results are presented from ab initio calculations on several mixed alkali halide dimers made up of Li, Na, F, and Cl. All of the dimers are investigated at the restricted Hartree–Fock level to provide ab initio estimates of geometries, vibrational frequencies, and binding energies. The dimer LiNaF2 is then treated using a variety of basis sets at the Hartree–Fock level, as well as at correlated levels (second‐order Møller–Plesset and coupled‐cluster singles and doubles) to examine the sensitivity of the calculations to use of higher levels of theory. The results are then compared to the experimental data available for the LiNaF2 …

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Short Terahertz Pulses From Semiconductor Surfaces: The Importance Of Bulk Difference‐Frequency Mixing, Peter N. Saeta, Benjamin I. Greene, Shun Lien Chuang Dec 1993

Short Terahertz Pulses From Semiconductor Surfaces: The Importance Of Bulk Difference‐Frequency Mixing, Peter N. Saeta, Benjamin I. Greene, Shun Lien Chuang

All HMC Faculty Publications and Research

The crystallographic orientation dependence of the far‐infrared (FIR) light generated at the (001) surface of a zincblende semiconductor is shown to derive principally from bulk difference‐frequency mixing. A strong modulation is observed for 1‐GW/cm2 pulses on InP, which demonstrates that the radiated FIR wave produced by bulk optical rectification is comparable to that generated by the transport of photoinjected carriers. Using the bulk rectification light as a clock, we show that more than 95% of the light produced from an InP (111) crystal by 100‐fs, 100‐μJ pulses is generated in a time shorter than the excitation pulse.

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Body Size In Amblyrhiza Inundata (Rodentia, Caviomorpha), An Extinct Megafaunal Rodent From The Anguilla Bank, West Indies: Estimates And Implications, Audrone R. Biknevicius, Donald A. Mcfarlane, Ross D. E. Macphee Nov 1993

Body Size In Amblyrhiza Inundata (Rodentia, Caviomorpha), An Extinct Megafaunal Rodent From The Anguilla Bank, West Indies: Estimates And Implications, Audrone R. Biknevicius, Donald A. Mcfarlane, Ross D. E. Macphee

WM Keck Science Faculty Papers

Rodent species typically evolve larger mean body sizes when isolated on islands, but the extinct caviomorph Amblyrhiza inundata, known only from Quaternary cave deposits on the islands of Anguilla and St. Martin (northern Lesser Antilles), provides an unusually dramatic example of insular gigantism. Here we report on a series of body mass estimates for Amblyrhiza using predictive equations based on anteroposterior diameters and cortical cross-sectional areas of humeral and femoral diaphyses. Analyses of 14 isolated specimens (5 femoral, 9 humeral), all representing adult or near adult animals, yield body mass estimates ranging from slightly less than 50 kg to more …

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The Lazer Mckenna Conjecture For Radial Solutions In The Rn Ball, Alfonso Castro, Sudhasree Gadam Oct 1993

The Lazer Mckenna Conjecture For Radial Solutions In The Rn Ball, Alfonso Castro, Sudhasree Gadam

All HMC Faculty Publications and Research

When the range of the derivative of the nonlinearity contains the first k eigenvalues of the linear part and a certain parameter is large, we establish the existence of 2k radial solutions to a semilinear boundary value problem. This proves the Lazer McKenna conjecture for radial solutions. Our results supplement those in [5], where the existence of k + 1 solutions was proven.

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Calculus Workshop Groups As A Humanistic Experience, Martin Vern Bonsangue Jul 1993

Calculus Workshop Groups As A Humanistic Experience, Martin Vern Bonsangue

Humanistic Mathematics Network Journal

No abstract provided.

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Like Poetry, Mathematics Is Beautiful, Joanne Growney Jul 1993

Like Poetry, Mathematics Is Beautiful, Joanne Growney

Humanistic Mathematics Network Journal

No abstract provided.

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Writing Style - An Editorial Comment, Harald M. Ness Jul 1993

Writing Style - An Editorial Comment, Harald M. Ness

Humanistic Mathematics Network Journal

No abstract provided.

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Toward A Philosophy Of Humanistic Mathematics, Bill Rosenthal Jul 1993

Toward A Philosophy Of Humanistic Mathematics, Bill Rosenthal

Humanistic Mathematics Network Journal

No abstract provided.

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Letter About Philosophia Mathematica, Robert Thomas Jul 1993

Letter About Philosophia Mathematica, Robert Thomas

Humanistic Mathematics Network Journal

No abstract provided.

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Canadian Society For History And Philosophy Mathematics Speaker List Jul 1993

Canadian Society For History And Philosophy Mathematics Speaker List

Humanistic Mathematics Network Journal

No abstract provided.

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The Role Of Faith In Mathematics, Dick Wood Jul 1993

The Role Of Faith In Mathematics, Dick Wood

Humanistic Mathematics Network Journal

No abstract provided.

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Math Nonsence Verse, Helen Lewy Jul 1993

Math Nonsence Verse, Helen Lewy

Humanistic Mathematics Network Journal

No abstract provided.

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A Reading List For Undergraduate Mathematics Majors: A Personal View, Paul Froeschl Jul 1993

A Reading List For Undergraduate Mathematics Majors: A Personal View, Paul Froeschl

Humanistic Mathematics Network Journal

No abstract provided.

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Developing A Mathematical Mode Of Thinking In An Undergraduate Program, Ida Doraiswamy Jul 1993

Developing A Mathematical Mode Of Thinking In An Undergraduate Program, Ida Doraiswamy

Humanistic Mathematics Network Journal

No abstract provided.

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On Attracting Mathematics Majors, Kazem Mahdavi Jul 1993

On Attracting Mathematics Majors, Kazem Mahdavi

Humanistic Mathematics Network Journal

No abstract provided.

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The Basis For The Success Of The Potsdam Program, Rick Luttmann Jul 1993

The Basis For The Success Of The Potsdam Program, Rick Luttmann

Humanistic Mathematics Network Journal

No abstract provided.

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Mathematics And The Arts — A Bibliography, Joanne S. Growney Jul 1993

Mathematics And The Arts — A Bibliography, Joanne S. Growney

Humanistic Mathematics Network Journal

No abstract provided.

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A Humanistic Academic Environment For Learning Undergraduate Mathematics, Clarence F. Stephens Jul 1993

A Humanistic Academic Environment For Learning Undergraduate Mathematics, Clarence F. Stephens

Humanistic Mathematics Network Journal

No abstract provided.

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Liberal Education In The Liberal Sense, Annalisa Crannell Jul 1993

Liberal Education In The Liberal Sense, Annalisa Crannell

Humanistic Mathematics Network Journal

No abstract provided.

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The Popular Image Of Mathematics, Paul Ernest Jul 1993

The Popular Image Of Mathematics, Paul Ernest

Humanistic Mathematics Network Journal

No abstract provided.

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Poems, Lee Goldstein Jul 1993

Poems, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

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A Multicultural Matrix For Mathematics Education: Generic Ideas, Rheta N. Rubenstein Jul 1993

A Multicultural Matrix For Mathematics Education: Generic Ideas, Rheta N. Rubenstein

Humanistic Mathematics Network Journal

No abstract provided.

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On Learning In The Mathematical Sciences: Statistics 200 As A Paradigm Of Everything Wrong In Mathematical Education, James M. Cargal Jul 1993

On Learning In The Mathematical Sciences: Statistics 200 As A Paradigm Of Everything Wrong In Mathematical Education, James M. Cargal

Humanistic Mathematics Network Journal

No abstract provided.

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In Fin Ity, Bonnie Shulman Jul 1993

In Fin Ity, Bonnie Shulman

Humanistic Mathematics Network Journal

No abstract provided.

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Are There Revolutions In Mathematics, Paul Ernest Jul 1993

Are There Revolutions In Mathematics, Paul Ernest

Humanistic Mathematics Network Journal

No abstract provided.

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A Fairy Tale: Being A Pseudo-History Of Mathematics With Special Attention Given To The Evolution Of The Number System, Peter Flusser Jul 1993

A Fairy Tale: Being A Pseudo-History Of Mathematics With Special Attention Given To The Evolution Of The Number System, Peter Flusser

Humanistic Mathematics Network Journal

No abstract provided.

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Complete Issue 8, 1993 Jul 1993

Complete Issue 8, 1993

Humanistic Mathematics Network Journal

No abstract provided.

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Primary Relaxation Processes At The Band Edge Of Sio₂, Peter N. Saeta, Benjamin I. Greene Jun 1993

Primary Relaxation Processes At The Band Edge Of Sio₂, Peter N. Saeta, Benjamin I. Greene

All HMC Faculty Publications and Research

The kinetics of photoinduced defect formation in high-purity silicas has been studied by femtosecond transient absorption spectroscopy in the visible and ultraviolet. Band edge two-photon excitation produces singlet excitons which decay in 0.25 ps into defects with the absorption spectra of nonbridging oxygen hole centers (≡Si-O⋅) and silicon E’ centers (≡Si⋅). We identify these defect pairs with the self-trapped triplet exciton and the 0.25 ps decay with the motion of the photoexcited oxygen atom. Similar results were obtained with both crystalline and amorphous silica samples.

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Uniqueness And Stability Of Nonnegative Solutions For Semipositone Problems In A Ball, Ismael Ali, Alfonso Castro, Ratnasingham Shivaji Mar 1993

Uniqueness And Stability Of Nonnegative Solutions For Semipositone Problems In A Ball, Ismael Ali, Alfonso Castro, Ratnasingham Shivaji

All HMC Faculty Publications and Research

We study the uniqueness and stability of nonnegative solutions for classes of nonlinear elliptic Dirichlet problems on a ball, when the nonlinearity is monotone, negative at the origin, and either concave or convex.

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A Theoretical Investigation Of The Geometries, Vibrational Frequencies, And Binding Energies Of Several Alkali Halide Dimers, Robert P. Dickey '93, David Maurice '91, Robert J. Cave, Richard J. Mawhorter Feb 1993

A Theoretical Investigation Of The Geometries, Vibrational Frequencies, And Binding Energies Of Several Alkali Halide Dimers, Robert P. Dickey '93, David Maurice '91, Robert J. Cave, Richard J. Mawhorter

All HMC Faculty Publications and Research

Results are presented from ab initio calculations on the symmetrical alkali halide dimers made up of Li, Na, K, F, and Cl. We examine the sensitivity of representative monomer and dimer geometries to the variation of the basis set with and without polarization and diffuse functions. The geometries are then compared with available experimental results. We have also calculated vibrational frequencies at the restricted Hartree–Fock level and examined the changes in geometry brought about by correlation using second‐order Møller–Plesset perturbation theory. It is found that Hartree–Fock theory in a modest basis set with diffuse and polarization functions yields results comparable …

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