Determination of electronic energy levels for the heteromolecular ions HeH2+, LiH3+, and BeH4+ from the Hamilton-Jacobi equation
By making use of the Hamilton–Jacobi equation, we obtain the exact value of the electronic energy levels for the heteromolecular ions HeH2+, LiH3+, and BeH4+ as a function of nuclear distance. The Hylleraas method in association with the series established by Wind–Jaffé was applied to these molecula...
Saved in:
| Published in | International journal of quantum chemistry Vol. 106; no. 13; pp. 2587 - 2596 |
|---|---|
| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Hoboken
Wiley Subscription Services, Inc., A Wiley Company
2006
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | By making use of the Hamilton–Jacobi equation, we obtain the exact value of the electronic energy levels for the heteromolecular ions HeH2+, LiH3+, and BeH4+ as a function of nuclear distance. The Hylleraas method in association with the series established by Wind–Jaffé was applied to these molecular ions. The results are in good agreement with those found in the literature. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2006 |
|---|---|
| AbstractList | By making use of the Hamilton–Jacobi equation, we obtain the exact value of the electronic energy levels for the heteromolecular ions HeH2+, LiH3+, and BeH4+ as a function of nuclear distance. The Hylleraas method in association with the series established by Wind–Jaffé was applied to these molecular ions. The results are in good agreement with those found in the literature. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2006 |
| Author | Nunes, A. O. C. Campos, J. A. Nascimento, D. L. Cavalcante, D. T. Fonseca, A. L. A. |
| Author_xml | – sequence: 1 givenname: J. A. surname: Campos fullname: Campos, J. A. organization: Instituto de Fisica, Universidade de Brasília, C.P. 04455, 70919-970, Brasília DF, Brazil – sequence: 2 givenname: D. L. surname: Nascimento fullname: Nascimento, D. L. organization: Department de Matemática, IE, Universidade de Brasília, 70910-900, Brasília DF, Brazil – sequence: 3 givenname: D. T. surname: Cavalcante fullname: Cavalcante, D. T. organization: Instituto de Fisica, Universidade de Brasília, C.P. 04455, 70919-970, Brasília DF, Brazil – sequence: 4 givenname: A. L. A. surname: Fonseca fullname: Fonseca, A. L. A. email: alaf@fls.unb.br organization: Instituto de Fisica, Universidade de Brasília, C.P. 04455, 70919-970, Brasília DF, Brazil – sequence: 5 givenname: A. O. C. surname: Nunes fullname: Nunes, A. O. C. organization: Instituto de Fisica, Universidade de Brasília, C.P. 04455, 70919-970, Brasília DF, Brazil |
| BookMark | eNo9kEFPwkAQhTcGEwE9-A_2joXdtrttj4hKNY2GRNR42QwwK6tlV9uicvOnu4Dx9F4y75uZvA5pWWeRkFPO-pyxcPCxhn7IGRcHpM1ZlgSx5E8t0vYzFiSSpUekU9evjDEZyaRNfi6wwWplLDTGWeo0xRLnTeWsmVO0WL1saImfWNZUu4o2S6TLLeFWzufWJVTUczXNMQ97Z7QweeQF7IKeYx73qPbJHZXDypSNs8ENzN3MUPSfbk8ek0MNZY0nf9ol06vL-1EeFHfj69GwCAyXkQg4Txd6AXwGcawxmzHIEgCtEUKIIU0jkcoURRphnGVaoJTeMI4yDIUImYi6ZLDf-2VK3Kj3yqyg2ijO1LY35b9Ru97UZDrcGU8Ee8LUDX7_E1C9KZlEiVCPt2M1iov04eJ5osLoF91xc6o |
| ContentType | Journal Article |
| Copyright | Copyright © 2006 Wiley Periodicals, Inc. |
| Copyright_xml | – notice: Copyright © 2006 Wiley Periodicals, Inc. |
| DBID | BSCLL |
| DOI | 10.1002/qua.21015 |
| DatabaseName | Istex |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Chemistry |
| EISSN | 1097-461X |
| EndPage | 2596 |
| ExternalDocumentID | QUA21015 ark_67375_WNG_C4L8VDZQ_2 |
| Genre | article |
| GrantInformation_xml | – fundername: CNPq |
| GroupedDBID | -~X .3N .GA .Y3 05W 0R~ 10A 1L6 1OB 1OC 1ZS 31~ 33P 3SF 3WU 4.4 4ZD 50Y 50Z 51W 51X 52M 52N 52O 52P 52S 52T 52U 52W 52X 53G 5GY 5VS 66C 6TJ 702 7PT 8-0 8-1 8-3 8-4 8-5 8UM 930 A03 AAESR AAEVG AAHHS AAJUZ AANLZ AAONW AASGY AAXRX AAYOK AAZKR ABCQN ABCUV ABCVL ABDBF ABEFU ABEML ABHUG ABIJN ABJNI ABPTK ABPVW ABTAH ACAHQ ACBWZ ACCFJ ACCZN ACGFO ACGFS ACIWK ACNCT ACPOU ACSCC ACXBN ACXME ACXQS ADAWD ADBBV ADDAD ADEOM ADIZJ ADKYN ADMGS ADOZA ADXAS ADZMN ADZOD AEEZP AEGXH AEIGN AEIMD AENEX AEQDE AETEA AEUQT AEUYR AFBPY AFFNX AFFPM AFGKR AFPWT AFVGU AFZJQ AGJLS AHBTC AI. AIAGR AIURR AIWBW AJBDE AJXKR ALAGY ALMA_UNASSIGNED_HOLDINGS ALUQN AMBMR AMYDB ASPBG ATUGU AUFTA AVWKF AZBYB AZFZN AZVAB BAFTC BDRZF BFHJK BHBCM BMNLL BMXJE BNHUX BROTX BRXPI BSCLL BTSUX BY8 CS3 D-E D-F DCZOG DPXWK DR1 DR2 DRFUL DRSTM DU5 EBS EJD ESX F00 F01 F04 F5P FEDTE G.N GNP GODZA H.T H.X HBH HF~ HHY HHZ HVGLF HZ~ H~9 I-F IX1 J0M JPC KQQ LATKE LAW LC2 LC3 LEEKS LH4 LITHE LOXES LP6 LP7 LUTES LW6 LYRES M21 MEWTI MK4 MRFUL MRSTM MSFUL MSSTM MXFUL MXSTM N04 N05 N9A NF~ NNB O66 O9- P2P P2W P2X P4D PALCI Q.N Q11 QB0 QRW R.K RIWAO RJQFR RNS ROL RWI RWK RX1 SAMSI SUPJJ TN5 TUS UB1 UPT V2E V8K VH1 W8V W99 WBFHL WBKPD WH7 WIB WIH WIK WJL WOHZO WQJ WRC WXSBR WYISQ XG1 XPP XV2 YCJ ZCG ZY4 ZZTAW ~IA ~WT AITYG HGLYW OIG |
| ID | FETCH-LOGICAL-i1635-118dfda1ba44fe9b0a97aaffea2a4a8835868e583e499f5e66e4901e622552053 |
| IEDL.DBID | DR2 |
| ISSN | 0020-7608 |
| IngestDate | Sat Aug 24 00:43:01 EDT 2024 Wed Jan 17 05:15:24 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 13 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-i1635-118dfda1ba44fe9b0a97aaffea2a4a8835868e583e499f5e66e4901e622552053 |
| Notes | CNPq istex:F66E767C5BF96658DC2DEAB4196C1C2A8CE9CA67 ArticleID:QUA21015 ark:/67375/WNG-C4L8VDZQ-2 |
| PageCount | 10 |
| ParticipantIDs | wiley_primary_10_1002_qua_21015_QUA21015 istex_primary_ark_67375_WNG_C4L8VDZQ_2 |
| PublicationCentury | 2000 |
| PublicationDate | 2006 |
| PublicationDateYYYYMMDD | 2006-01-01 |
| PublicationDate_xml | – year: 2006 text: 2006 |
| PublicationDecade | 2000 |
| PublicationPlace | Hoboken |
| PublicationPlace_xml | – name: Hoboken |
| PublicationTitle | International journal of quantum chemistry |
| PublicationTitleAlternate | Int. J. Quantum Chem |
| PublicationYear | 2006 |
| Publisher | Wiley Subscription Services, Inc., A Wiley Company |
| Publisher_xml | – name: Wiley Subscription Services, Inc., A Wiley Company |
| References | Nascimento and Fonseca, A. L. A. Int J Quantum Chem 2003, 95, 274. Wind, H. J Chem Phys 1965, 42, 2371. Rajani, S. S.; Kapoor, A. K.; Panigrahi, P. K. Mod Phys Lett A 2004, 19, 2047; 1457. Arteca, G. A.; Mezey, P. G. Phys Rev A 1987, 35, 4044. Etemadi, B.; Jones, H. W. Int J Quantum Chem Quantum Chem Symposium 1993, 27, 755. Aubert, M.; Bessis, N.; Bessis, G. Phys Rev A 1974, 10, 51. Nascimento, D. L.; Fonseca, A. L. A.; Portilho, O. Int J Quantum Chem 2004, 103, 505. Laaksonen, L.; Pyykkö, P.; Sundholm, D. Int J Quantum Chem 1983, 23, 309. Thompson, J. W.; Wilson, S. J Phys B 1992, 25, 621. Tergiman, Y. S. J Phys B 1996, 29, 1035. Popa, A. J Phys A 2003, 36, 7569. Hylleraas, E. A. Z Phys 1929, 54, 347. Winter, T. G.; Duncan, M. D.; Lane, N. F. J Phys B 1977, 10, 285. Dey, B. K.; Janicki, M. R.; Ayers, P. W. J Chem Phys 2004, 121, 6667. Jaffé, G. Z Phys 1934, 87, 535. 1987; 35 2004; 121 1965; 42 1996; 29 1974; 10 2004; 103 1993; 27 2004; 19 2003; 36 1934; 87 1977; 10 1992; 25 2003 2003; 95 1929; 54 1983; 23 |
| References_xml | – volume: 25 start-page: 621 year: 1992 publication-title: J Phys B – volume: 87 start-page: 535 year: 1934 publication-title: Z Phys – volume: 42 start-page: 2371 year: 1965 publication-title: J Chem Phys – volume: 29 start-page: 1035 year: 1996 publication-title: J Phys B – volume: 54 start-page: 347 year: 1929 publication-title: Z Phys – volume: 36 start-page: 7569 year: 2003 publication-title: J Phys A – volume: 121 start-page: 6667 year: 2004 publication-title: J Chem Phys – volume: 19 start-page: 2047 year: 2004 publication-title: Mod Phys Lett A – volume: 23 start-page: 309 year: 1983 publication-title: Int J Quantum Chem – year: 2003 – volume: 27 start-page: 755 year: 1993 publication-title: Int J Quantum Chem Quantum Chem Symposium – volume: 95 start-page: 274 year: 2003 publication-title: Int J Quantum Chem – volume: 10 start-page: 51 year: 1974 publication-title: Phys Rev A – volume: 103 start-page: 505 year: 2004 publication-title: Int J Quantum Chem – volume: 35 start-page: 4044 year: 1987 publication-title: Phys Rev A – volume: 10 start-page: 285 year: 1977 publication-title: J Phys B |
| SSID | ssj0006367 |
| Score | 1.8647492 |
| Snippet | By making use of the Hamilton–Jacobi equation, we obtain the exact value of the electronic energy levels for the heteromolecular ions HeH2+, LiH3+, and BeH4+... |
| SourceID | wiley istex |
| SourceType | Publisher |
| StartPage | 2587 |
| SubjectTerms | electronic energy levels Hamilton-Jacobi equation heteromolecular ions |
| Title | Determination of electronic energy levels for the heteromolecular ions HeH2+, LiH3+, and BeH4+ from the Hamilton-Jacobi equation |
| URI | https://api.istex.fr/ark:/67375/WNG-C4L8VDZQ-2/fulltext.pdf https://onlinelibrary.wiley.com/doi/abs/10.1002%2Fqua.21015 |
| Volume | 106 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8QwEA7iRS--xTc5iAjaNW2TNMWTro8iKii-EKFM2hQXddfHLogn8S_4D_0lTtLtLnoSTw00gXQyk34zzHxDyHLIYqVEEXugQ-Zxjg6KzrLckyAUAxUFJrQFzkfHMjnnB1fiaoBsVrUwJT9EL-BmLcPd19bAQb9s9ElDnzpQQ3_FFZhbIj0LiE771FEylN12rcyLJFMVqxALNnorEZBaWb7-BKbuz7I3Sm6qPZUJJXe1TlvXsrdfdI3_3PQYGekiTrpVqsg4GTDNCTJUrxq9TZKPnSolxh4SbRW03xuHGlcbSO9tbtELRYRLETHSW7ui9VC11qVWd2likmBtnR42khAf0Mzptkn4GrUVLG5VYoMpiDW_3j8P8CLWDWqeSqbxKXK-t3tWT7xuawavgQBOeOiW5EUOvgbOCxNrBnEEUBQGAuCgENYpqYxQoUGPqhBGShww30i8PkSAhj9NBputppkh1OjY1z6-YFHGWSYh08zPBeMFzyAHMUtW3CGljyX9RgrPdzYbLRLp5fF-WueH6mLn-iQNZsmqE31vYsnIHKT4KakTeopeghvM_X3qPBnuR10WyGD7uWMWEYe09ZJTuG8v3NnH |
| link.rule.ids | 315,786,790,1382,4043,27954,27955,27956,46327,46751 |
| linkProvider | Wiley-Blackwell |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3NTtwwELYQHOilUFpU_ooPqKpEsziJ7TgSF9gtpHRZqQhaVKmyxokjVsAuP7sS4oR4Bd6QJ-nY2eyKnqqeYikeybE9k29GM98QshGzVClRpgGYmAWco4Ni8rwIJAjFQCWRjV2B82FHZif84FScTpHtuham4ocYB9ycZnh77RTcBaS3Jqyh10NooMPiKsxnUN2FU8vW0YQ8SsZy1LCVBYlkquYVYtHWWBQhqdvNu5fQ1P9b9ubI73pVVUrJeWM4MI38_i_Cxv9d9jx5PQKddKe6JW_IlO0tkNlm3evtLXls1Vkx7pxov6ST9jjU-vJAeuHSi24pglyKoJGeOYn-Zd1dl7rrSzObRZufabubxfiAXkF3bcY3qSti8VKZi6cg3Hx-eDpAW2y61F5XZOPvyMnel-NmFoy6MwRdxHAiQM-kKAsIDXBe2tQwSBOAsrQQAQeFyE5JZYWKLTpVpbBS4oCFVqIFERHq_iKZ7vV79j2h1qShCfEFS3LOcgm5YWEhGC95DgWIJfLRn5K-qhg4NNycu4S0ROifnX3d5G31o_Xru46WyCe_9-OJFSlzpPFTtN90jY6CHyz_-9R1MpsdH7Z1-2vn2wp5NQnCrJLpwc3QriEsGZgP_vb9Ad6H3ec |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1faxQxEA-lgvpStSrWv3kopdDuNbubZLP4pHee2_Y8rFhbihAmuwk9qven3oH4JH4Fv6GfxEn29o76JH3awCaQncxkfzPM_IaQzZTlSgmXR2BSFnGODoopyyqSIBQDlSU29QXO7_qyOOYHp-J0hbxsamFqfohFwM1bRrivvYGPK7e3JA2dzKCF_oovML_BZZp4z6vzYckdJVM579fKokwy1dAKsWRvsRQRqRfm96vINPxaunfI52ZTdUbJRWs2Na3yxz98jdfc9V2yNoec9FWtI_fIih2uk1vtptPbffKr0-TE-FOiI0eXzXGoDcWB9ItPLvpGEeJShIz03K8YfW1661KvvLSwRbKzS3uDIsUHDCv62hZ8h_oSlrCq8NEUBJt_fv4-wJvYDKid1FTjD8hx983HdhHNezNEA0RwIkK_pHIVxAY4dzY3DPIMwDkLCXBQiOuUVFao1KJL5YSVEgcsthLvD5Gg5T8kq8PR0D4i1Jo8NjG-YFnJWSmhNCyuBOOOl1CB2CBb4ZD0uObf0HB54dPRMqFP-m91m_fUp87ZkU42yHYQ_WJiTcmcaPwUHYSu0U0Ig8f_P_UFufm-09W9_f7hE3J7GYF5SlanlzP7DDHJ1DwPuvcXZ-Lclg |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Determination+of+electronic+energy+levels+for+the+heteromolecular+ions+HeH2%2B%2C+LiH3%2B%2C+and+BeH4%2B+from+the+Hamilton-Jacobi+equation&rft.jtitle=International+journal+of+quantum+chemistry&rft.au=Campos%2C+J.+A.&rft.au=Nascimento%2C+D.+L.&rft.au=Cavalcante%2C+D.+T.&rft.au=Fonseca%2C+A.+L.+A.&rft.date=2006&rft.pub=Wiley+Subscription+Services%2C+Inc.%2C+A+Wiley+Company&rft.issn=0020-7608&rft.eissn=1097-461X&rft.volume=106&rft.issue=13&rft.spage=2587&rft.epage=2596&rft_id=info:doi/10.1002%2Fqua.21015&rft.externalDBID=n%2Fa&rft.externalDocID=ark_67375_WNG_C4L8VDZQ_2 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0020-7608&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0020-7608&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0020-7608&client=summon |