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The unique zeta functionality used to be studied by way of Riemann as a part of his research of the distribution of major numbers. different types of zeta services have been outlined for number-theoretic reasons, resembling the examine of primes in mathematics progressions. This ended in the advance of $L$-functions, which now have numerous guises.
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In most single-center calculations one desires that the orbitals should peak at the off-center nuclei, which requires that n/c be roughly equal to the origin-nuclei distance and to some extent fixes the n/[ ratio. It is therefore only through k that the half band width can be varied, and Table V shows Single-Center Molecular Wave Functions 41 TABLE V SOLUTION OF EQ. 33 3 0 that the higher n, the smaller k and hence 1 become; in other words, peaking is directly related to n and optimum peaking requires optimum n values.
Rex Natl. Bur. Sfd. A68, 635. , and MOSER,C. M. (1965a). J. Mot. Spectry. 15, 211. , and MOSER,C. M. (1965b). J . Chem. Phys. 43, 1394. , MOSER,C. , and NESBET,R. K. (1960). J . Chem. Phys. 33, 931. , MOSER,C. , and NESBET, R. K. (1961). J. Chem. Phys. 35, 1702. , MOSER,C. , NESBET, R. , and YAMAZAKI, M. (1963). J. Chem. Phys. 38,231 I. , MOSER,C. , and NESBET, R. K. (1964). J. Mol. Spectry. 13,418. LENNARD-JONES, J. E. (1949). Proc. Roy. A198, 1 . LENNARD-JONES, J. E. (1952). J. Chem. Phys. 20, 1024.
20, 1024. MCLEAN,A. D. (1960). J . Chem. Phys. 32, 1595. MCLEAN, D. (1963a). J. Chem. Phys. 38, 1347. MCLEAN,A. D. (1963b). J. Chem. Phys. 39,2653. MCLEAN,A. D. (1964). J. Chem. Phys. 40,2774. MERRYMAN, P. M. (1959). Unpublished work. MOCCIA,R. (1962). J. Chem. Phys. 37, 910. MOCCIA,R. (1 964a). J . Chem. Phys. 40, 2164. MOCCIA,R. (1964b). J. Chem. Phys. 40, 2176. MOCCIA,R. J. Chem. Phys. 40,2186. MBLLER, C . , and PLESSET, M. S. (1934). Phys. Rev. 46, 618. MOSKOWITZ, J. W. (1965). J. Chem. Phys.