This report was prepared as an account of Government sponsored work. Neither the United States, nor the Com-m1ss1on; nor any person•acting o~ beh~]f ~f the Commission: A. Makes any warranty or representation, express or implied, with respect to the accuracy, completeness, or usefulness of the information contained in this report, or that the use of any information, apparatus, method, or process disclosed in this report may not infringe privately owned rights; or B. Assumes any liabilities with respect to the use bf, or for damages resulting frbm the use of any information, apparatus, method, .or process dis-• closed in this report. As used in the above, "person acting on behalf of 'the Commission" inc] udes any employee or contractor of the Commission to the extent that such e~ployee or contractor prepares, handles or distributes, or provides access to, any informa~ion pursuant to his employment ot contract with the Commission.
S states of atoms may be calculated to high precision by means of expansions containing correlation factors of the form rijν. Resulting integrals may be expressed as sums of auxiliary functions which are evaluated by algebraic methods. Explicit expressions, suitable for computer programing, are given for such integrals for three-electron atoms; these include integrals containing correlation factors with linked indices, r23λ r31μ r12ν, with any set of (integral) values λ, μ, ν. Expressions are based on an expansion of rijν in terms of Legendre polynomials in cosθij; coefficients of this expansion are represented by a conveniently evaluated formula and some numerical values are given. The expressions given here have been found quite convenient in preliminary calculations of lithium ground state.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.