# Frederick King

## PROFESSOR

**Chemistry**

**Phone:**715-836-3744

**Email:**fking@uwec.edu

**Education**

Ph. D. Queen's University, Kingston, Chemistry, 1975

M. Sc. University of Calgary, Alberta, Chemistry, 1971

B.Sc. (Hons), University of Sydney, Physical Chemistry, 1969

**Courses**

Chem 103 General Chemistry I

Chem 104 General Chemistry II

Chem 115 Chemical Principles

Chem 405 Applied Physical Chemistry

Chem 433 Physical Chemistry I

Chem 434 Physical Chemistry II

Chem 399 Independent Study (juniors)

Chem 499 Independent Study (seniors)

**Research Interests **

Theoretical and computational studies on few-electron systems.

My current focus is high accuracy calculations on the beryllium atom and its isoelectronic series. I also study the underlying mathematical problems that allow the calculations to be carried out. A secondary interest is Hilbert transforms.

**Selected Publications **

F. W. King, On the evaluation of four-electron correlated integrals with a Slater basis: Some simplifications and some closed form examples, Journal of Physics B: Atomic, Molecular and Optical Physics, 47, 025003 (2014).

F. W. King, High-precision calculations of the hyperfine constants and some selected transition energies for the low-lying ^{4}S levels of the lithium atom, International Journal of Quantum Chemistry, **113**, 2534-2539 (2013).

I. Porras, C. D. Schuster, and F. W. King, Convergence accelerator approach to the numerical evaluation of Hilbert transforms based on expansions in Hermite functions, IAENG International Journal of Applied Mathematics, **41**, 252-259 (2011).

F. W. King, D. Quicker, and J. Langer, Compact wave functions for the beryllium isoelectronic series, Li^{-} to Ne^{6+}: A standard Hylleraas approach, Journal of Chemical Physics, **134**, 124114 (2011).

F. W. King, High precision calculations of the hyperfine constants for the low-lying excited ^{2}S states of Be^{+}, Journal of Physical Chemistry A, **113**, 4110-4116 (2009).

F. W. King, Hilbert Transforms, Volume I,Cambridge University Press, Encyclopedia of Mathematics and its Applications, **124**, April, 2009.

F. W. King, Hilbert Transforms, Volume II,Cambridge University Press, Encyclopedia of Mathematics and its Applications, **125**, April, 2009.

F. W. King, One-center Slater-type integrals with explicit correlation factors, in Recent Advances in Computational Chemistry. Molecular Integrals over Slater Orbitals, edited by Telhat Ozdogan and Maria Belen Ruiz, Transworld Research, Kerala, pp. 39-84, 2008.

F. W. King, Operator basis for analytic signal construction, Multidimensional Systems and Signal Processing, **19**, 131-137 (2008).

D. M. Feldmann and F. W. King, Upper bound to the critical binding nuclear charge for a three-electron atomic system, Journal of Physics B: Atomic, Molecular and Optical Physics **41**, 025002 (2008).

F. W. King, High-precision calculations of the hyperfine constants for the low-lying excited ^{2}S states of the lithium atom, Physical Review A **76**, 042512 (2007).

F. W. King, Numerical evaluation of truncated Kramers–Kronig transforms, Journal of the Optical Society of America B **24**, 1589-1595 (2007).

F. W. King, Alternative approach to the derivation of dispersion relations for optical constants, Journal of Physics A: Mathematical and General **39**, 10427 (2006).

F. W. King, Reply to "Comment on 'Analysis of some integrals arising in the atomic four-electron problem' " [J. Chem. Phys. **99**, 3622 (1993)], Journal of Chemical Physics **120**, 3042 (2004).

F. W. King, Efficient numerical approach to the evaluation of Kramers–Kronig transforms, Journal of the Optical Society of America B **19**, 2427 (2002).

F. W. King, G. J. Smethells, G. T. Helleloid, and P. J. Pelzl, Numerical evaluation of Hilbert transforms for oscillatory functions: A convergence accelerator approach, Computer Physics Communications **145**, 256 (2002).

P. J. Pelzl, G. J. Smethells, and F. W. King, Improvements on the application of convergence accelerators for the evaluation of some three-electron atomic integrals, Physical Review E **65**, 036707 (2002).