%0 Journal Article %1 QUA:QUA22765 %A Olson, John A. %D 2011 %I Wiley Subscription Services, Inc., A Wiley Company %J International Journal of Quantum Chemistry %K atom mechanics physics quantum state %N 12 %P 2844--2850 %R 10.1002/qua.22765 %T Atomic term symbols via partitioning techniques %U http://dx.doi.org/10.1002/qua.22765 %V 111 %X Abstract Two techniques for obtaining Russell–Saunders term symbols (terms) for equivalent electrons is presented. Both techniques are based on partitioning the n equivalent electrons into a set of α electrons and a set of β electrons. Fundamental tables are presented that give the number of states for the α or β electrons for all possible values M αL(M βL) and Sα(Sβ). One interpretation of these tables leads to the total number of states of the n equivalent electrons for values of L and S. From this the number of terms for L and S is easily determined. Another interpretation of the fundamental tables gives the maximum number of terms for n equivalent electrons with values of L and S. From this the actual number of terms is obtained. Examples of equivalent p, d, f, and g electrons are provided. © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2011

@article{QUA:QUA22765, abstract = {Abstract Two techniques for obtaining Russell–Saunders term symbols (terms) for equivalent electrons is presented. Both techniques are based on partitioning the n equivalent electrons into a set of α electrons and a set of β electrons. Fundamental tables are presented that give the number of states for the α or β electrons for all possible values M αL(M βL) and Sα(Sβ). One interpretation of these tables leads to the total number of states of the n equivalent electrons for values of L and S. From this the number of terms for L and S is easily determined. Another interpretation of the fundamental tables gives the maximum number of terms for n equivalent electrons with values of L and S. From this the actual number of terms is obtained. Examples of equivalent p, d, f, and g electrons are provided. © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2011}, added-at = {2011-07-12T00:20:52.000+0200}, author = {Olson, John A.}, biburl = {https://www.bibsonomy.org/bibtex/2b817336291efa8d0b9b912dcc9f1b6c2/drmatusek}, description = {Atomic term symbols via partitioning techniques - Olson - 2010 - International Journal of Quantum Chemistry - Wiley Online Library}, doi = {10.1002/qua.22765}, interhash = {b0df908de2041ceae29a08edf7541838}, intrahash = {b817336291efa8d0b9b912dcc9f1b6c2}, issn = {1097-461X}, journal = {International Journal of Quantum Chemistry}, keywords = {atom mechanics physics quantum state}, month = {October}, number = 12, pages = {2844--2850}, publisher = {Wiley Subscription Services, Inc., A Wiley Company}, timestamp = {2012-10-05T04:50:40.000+0200}, title = {Atomic term symbols via partitioning techniques}, url = {http://dx.doi.org/10.1002/qua.22765}, volume = 111, year = 2011 }