Fred King's Publications



1. F. C. Adam and F. W. King, Angular dependence of the beta-proton isotropic hyperfine coupling constant, Journal of Chemical Physics 58, 2446 (1973).

2. F. W. King and F. C. Adam, Long-range proton hyperfine coupling in bicyclic radicals, Molecular Physics 29, 337 (1975).

3. F. W. King, Relationships for the computation of long-range proton hyperfine coupling constants derived from pi-electron spin labels, Journal of Magnetic Resonance 17, 362 (1975).

4. F. W. King, Sum rules for photon scattering from bound atomic systems, Physical Review A 11, 381 (1975).

5. F. W. King, Elastic photon scattering cross section for the H- negative ion in the asymptotic approximation, Canadian Journal of Physics 53, 2502 (1975).

6. F. W. King and H. B. Schlegel, An ab initio study of the bicyclobutyl radical: An anti-W long-range coupled system, Journal of Magnetic Resonance 22, 389 (1976).

7. H. B. Schlegel and F. W. King, An ab initio calculation of the cyclopropylcarbinyl radical, Journal of Molecular Structure 35, 155 (1976).

8. F. W. King, Sum rules for the forward elastic low energy scattering of light, Journal of Physics B: Atomic, Molecular Physics 9, 147 (1976).

9. F. W. King, Origin invariance of the fully retarded rotational strength, Journal of the Chemical Society, Faraday Transactions II 72, 225 (1976).

10. F. W. King, Long-range proton hyperfine coupling, Chemical Reviews 76, 157 (1976).

11. F. W. King, Sum rules for the optical constants, Journal of Mathematical Physics 17, 1509 (1976).

12. F. W. King, A Fourier series algorithm for the analysis of reflectance data, Journal of Physics C: Solid State Physics 10, 3199 (1977).

13. F. W. King, Analysis of optical data by the conjugate Fourier series approach, Journal of the Optical Society of America 68, 994 (1978).

14. P. W. Atkins and F. W. King, Source theory of molecular interactions, Molecular Physics 35, 883 (1978).

15. F. W. King, Inverse first moment for the weighted magnetoreflection, Chemical Physics Letters 56, 568 (1978).

16. F. W. King, R. P. Van Duyne and G. C. Schatz, Theory of Raman scattering by molecules adsorbed at electrode surfaces, Journal of Chemical Physics 69, 4472 (1978).

17. F. W. King and G. C. Schatz, Theory of Raman scattering by molecules adsorbed at electrode surfaces. Model calculations for resonance Raman scattering by an adsorbed diatomic, Chemical Physics 38, 245 (1979).

18. F. W. King and G. C. Schatz, Stochastic theory of vibrational energy transfer in collinear atom-diatom collisions: the role of non-Markovian effects, Molecular Physics 38, 257 (1979).

19. F. W. King, Dispersion relations and sum rules for the normal reflectance of conductors and insulators, Journal of Chemical Physics 71, 4726 (1979).

20. F. W. King and S. M. Rothstein, Correlation coefficient and electron correlation, Physical Review A 21, 1376 (1980).

21. F. W. King and S. M. Rothstein, Local scaled Schrödinger relations and the virial theorem, Physical Review A 21, 1378 (1980).

22. F. W. King, Moments of the optical rotatory power and circular dichroism for an isotropic medium, Physical Review B 21, 4466 (1980).

23.F. W. King, Integral inequalities for optical constants, Journal of Mathematical Physics 22, 1321 (1981).

24. F. W. King, M. A. LeGore and M. K. Kelly, Reduced local energy as a criterion for the accuracy of Hartree-Fock wavefunctions, Journal of Chemical Physics 75, 809 (1981).

25. F. W. King, M. K. Kelly and M. A. LeGore, Local behavior of the Clementi-Roetti atomic Hartree-Fock wavefunctions. Improved local accuracy using global constraints, Journal of Chemical Physics 76, 574 (1982).

26.F. W. King, Some bounds for the absorption coefficient of an isotropic non-conducting medium, Physical Review B 25, 1381 (1982).

27. F. W. King, Bounds for the atomic electronic density, Journal of Chemical Physics 78, 2459 (1983).

28. F. W. King, Bounds for the atomic electronic density: The near nuclear region, Journal of Chemical Physics 78, 3091 (1983).

29. F. W. King and B. D. Dalke, Nonlinear programming approach to locally constrained variational calculations, Journal of Chemical Physics 78, 3143 (1983).

30. F. W. King, Application of Benson's inequalities to the atomic electronic density, Journal of Mathematical Physics 24, 1891 (1983).

31. F. W. King and K. J. Dykema, Bounds for the atomic Hartree-Fock electronic density, Journal of Physics B: Atomic, Molecular Physics 16, 2071 (1983).

32. F. W. King, L. G. Nemec and M. K. Kelly, Reduced local energy surface profiles for hydrogen, Molecular Physics 50, 1285 (1983).

33. F. W. King, M. K. Kelly, M. A. LeGore and M. E. Poitzsch, Reduced local energy for atomic Hartree-Fock wavefunctions, Computer Physics Communications 32, 215 (1984).

34. F. W. King and M. E. Poitzsch, Moments of the reduced local energy: A convenient measure of the local accuracy of atomic Hartree-Fock wavefunctions, Molecular Physics 51, 835 (1984).

35. F. W. King, Bounds on the atomic electronic density at the nucleus, Journal of Chemical Physics 80, 4317 (1984).

36. F. W. King and V. Shoup, Calculations on the 2S ground state of the lithium atom, Physical Review A 33, 2940 (1986).

37. F. W. King, Specific mass shift for the 2S ground state of the lithium atom, Physical Review A 34, 4543, (1986).

38. F. W. King, Calculations on the 2S ground state of Be II, Physical Review A 38, 6017 (1988).

39. F. W. King and P. R. Dressel, Compact expressions for the radial electronic density functions for the 2S states of three-electron systems, Journal of Chemical Physics 90, 6449 (1989).

40. F. W. King, Calculations on the 2S ground states of some members of the Li I isoelectronic series, Physical Review A 40, 1735 (1989).

41. F. W. King and M. P. Bergsbaken, High precision calculations on the 2S ground state of the lithium atom, Journal of Chemical Physics 93, 2570 (1990).

42. F. W. King, Calculations on the low-lying excited 2S states of some members of the Li isoelectronic series, Physical Review A 43, 3285 (1991).

43. F. W. King, Radial electronic density functions for selected low-lying excited 2S states of the Li I isoelectronic series, Physical Review A 44, 3350 (1991).

44. F. W. King, Analysis of some integrals arising in the atomic three-electron problem, Physical Review A 44, 7108, (1991).

45. F. W. King, S. E. Kelly and M. A. Kuehne, Nonlinear programming approach to locally constrained variational calculations on the ground state of the helium atom, Molecular Physics 75, 243 (1992).

46. F. W. King, K. J. Dykema and B. D. Dalke, Nonlinear programming approach to locally constrained variational calculations: He and H- in the Hartree-Fock approximation, Journal of Chemical Physics 96, 2889 (1992).

47. F. W. King, K. J. Dykema and A. D. Lund, Calculation of some integrals for the atomic three-electron problem, Physical Review A 46, 5406 (1992).

48. F. W. King, Analysis of some integrals arising in the atomic four-electron problem, Journal of Chemical Physics 99, 3622 (1993).

49. I. Porras and F. W. King, Evaluation of some integrals for the atomic three-electron problem using convergence accelerators, Physical Review A 49, 1637 (1994).

50. P. R. Dressel and F. W. King, Compact expression for the electron-electron distribution function for the 2S states of three-electron systems, Journal of Chemical Physics 100, 7515 (1994).

51. F. W. King, Lower bound for the non relativistic ground state energy of the lithium atom, Journal of Chemical Physics 102, 8053 (1995).

52. F. W. King, Progress on high precision calculations for the ground state of atomic lithium, Journal of Molecular Structure -Theochem 400, 7 (1997).

53. P. J. Pelzl and F. W. King, Convergence accelerator approach for the high-precision evaluation of three-electron correlated integrals, Physical Review E, 57, 7268 (1998).

54. F. W. King, D. G. Ballageer, D. J. Larson, P. J. Pelzl, S. A. Nelson, T. J. Prosa and B. M. Hinaus, Hylleraas-type calculations of the relativistic corrections for the ground state of the lithium atom, Physical Review A 58, 3597 (1998).

55. D. M. Feldmann, P. J. Pelzl and F. W. King, Evaluation of some integrals arising in relativistic corrections for the atomic three-electron problem, Journal of Mathematical Physics 39, 6262 (1998).

56. F. W. King, High precision calculations for the ground and excited states of the lithium atom, Advances in Atomic, Molecular, and Optical Physics, Academic Press, San Diego, 40, 57 (1999).

57. I. Porras, D. M. Feldmann and F. W. King, A nonlinear programming approach to the ground state of the helium atom based on lower bounds to the energy, International Journal of Quantum Chemistry 71, 455 (1999).

58. F. W. King, Convergence accelerator approach for the evaluation of some three-electron integrals containing explicit rij factors, International Journal of Quantum Chemistry 72, 93 (1999).

59. 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).

60. 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).

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

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

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

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

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

66. 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).

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

68. 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.

69. F. W. King, Hilbert Transforms, Volume I, Cambridge University Press, June, 2009.

70. F. W. King, Hilbert Transforms, Volume II, Cambridge University Press, June, 2009.

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

72. F. W. King, D. Quicker, and J. Langer, Compact wave functions for the beryllium isoelectronic series, Li- to Ne6+: A standard Hylleraas approach, Journal of Chemical Physics, 134, 124114 (2011).

73. 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).

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

75. 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).



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Last Updated: December 23, 2013

Maintained by: fking@uwec.edu