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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 59, 1986 - Issue 5
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Original Articles

On the higher vibration-rotational levels of HD+ and H2+

L. Wolniewicz Institute of Physics, N. Copernicus University, 87-100, Torun, Poland
&
J.D. Poll Guelph Waterloo Program for Graduate Work in Physics, University of Guelph, Guelph, Ontario, Canada, N1G 2W1
Pages 953-964 | Received 20 Jun 1986, Accepted 30 Jun 1986, Published online: 22 Aug 2006

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J. C. J. Koelemeij. (2022) Effect of correlated hyperfine theory errors in the determination of rotational and vibrational transition frequencies in HD+. Molecular Physics 120:19-20.
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Stanisław Dembiński, Jacek Karwowski, Józef Szudy & Trygve Helgaker. (2022) Lutosław Wolniewicz (1930–2020). Molecular Physics 120:19-20.
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K.-F. Lai, E. J. Salumbides, M. Beyer & W. Ubachs. (2022) Precision measurement of quasi-bound resonances in H2 and the H + H scattering length. Molecular Physics 120:19-20.
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Vladimir I. Korobov. (2018) Ro-vibrational states of H+2. Variational calculations. Molecular Physics 116:1, pages 93-98.
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Keith Jones, Nikita Kirnosov, Keeper L. Sharkey & Ludwik Adamowicz. (2016) Charge asymmetry and rovibrational excitations of HD+. Molecular Physics 114:13, pages 2052-2073.
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J.M. TAYLOR, ZONG-CHAO YAN, A. DALGARNO & J.F. BABB. (1999) Variational calculations on the hydrogen molecular ion. Molecular Physics 97:1-2, pages 25-33.
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R.E. Moss. (1993) Calculations for the vibration-rotation levels of H+ 2 in its ground and first excited electronic states. Molecular Physics 80:6, pages 1541-1554.
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R.E. Moss. (1993) Calculations for vibration-rotation levels of HD+, in particular for high N . Molecular Physics 78:2, pages 371-405.
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L. Wolniewicz & T. Orlikowski. (1991) The 1sσg and 2pσu states of the H2 +, D2 + and HD+ ions. Molecular Physics 74:1, pages 103-111.
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Alan Carrington, IainR. McNab, ChristineA. Montgomerie-Leach & RichardA. Kennedy. (1991) Vibration-rotation spectroscopy of the HD+ ion near the dissociation limit. Molecular Physics 72:4, pages 735-762.
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R.E. Moss & I.A. Sadler. (1989) Variational calculations for high J, low ν levels of HD+ . Molecular Physics 68:5, pages 1015-1031.
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Alan Carrington, IainR. McNab, ChristineA. Montgomerie & RichardA. Kennedy. (1989) Electronic spectrum (2pσ -1sσ ) of the D+ 2 ion. Molecular Physics 67:4, pages 711-738.
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Alan Carrington, IainR. McNab, ChristineA. Montgomerie & JohnM. Brown. (1989) Microwave spectra of the HD+ and D2 + ions at their dissociation limits. Molecular Physics 66:6, pages 1279-1289.
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R.E. Moss & I.A. Sadler. (1989) Transformed hamiltonian theory for HD+ . Molecular Physics 66:3, pages 591-603.
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Alan Carrington, IainR. McNab & ChristineA. Montgomerie. (1989) Radiofrequency/infrared double resonance spectroscopy of the HD+ ion. Molecular Physics 66:2, pages 519-525.
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Alan Carrington, IainR. McNab & ChristineA. Montgomerie. (1988) Spectroscopic observation of HD+ in the ν = 22 level. Molecular Physics 65:3, pages 751-755.
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Alan Carrington, IainR. McNab & ChristineA. Montgomerie. (1988) Vibration-rotation spectroscopy of the HD+ ion near the dissociation limit. Molecular Physics 64:5, pages 983-995.
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Alan Carrington, IainR. McNab & ChristineA. Montgomerie. (1988) Vibration-rotation spectroscopy of the HD+ ion near the dissociation limit. Molecular Physics 64:4, pages 679-689.
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R.A. Kennedy, R.E. Moss & I.A. Sadler. (1988) Vibrational levels of HD+ near dissociation. Molecular Physics 64:2, pages 177-189.
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Articles from other publishers (50)

Qian-Hao Liu, Yan Tan, Cun-Feng Cheng & Shui-Ming Hu. (2023) Precision spectroscopy of molecular hydrogen. Physical Chemistry Chemical Physics 25:41, pages 27914-27925.
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Paulo H. R. Amaral, Monika Stanke, Ludwik Adamowicz, Leonardo G. Diniz, José R. Mohallem & Alexander Alijah. (2019) Non-adiabatic effects in the H 3 + spectrum . Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377:2154, pages 20180411.
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Paulo H. R. Amaral, Leonardo G. Diniz, Keith A. Jones, Monika Stanke, Alexander Alijah, Ludwik Adamowicz & José R. Mohallem. (2019) Benchmark Rovibrational Linelists and Einstein A-coefficients for the Primordial Molecules and Isotopologues. The Astrophysical Journal 878:2, pages 95.
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Ibrokhim Iskandarov, Francesco Antonio Gianturco, Mario Hernandez Vera, Roland Wester, Humberto da SilvaJr.Jr. & Olivier Dulieu. (2017) Shape and strength of dynamical couplings between vibrational levels of the H2 +, HD+ and D2 + molecular ions in collision with He as a buffer gas. The European Physical Journal D 71:6.
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Paulo H. R. Amaral & José R. Mohallem. (2017) Core-valence stockholder AIM analysis and its connection to nonadiabatic effects in small molecules. The Journal of Chemical Physics 146:19.
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Maximilian Beyer & Frédéric Merkt. (2016) Structure and dynamics of H2+ near the dissociation threshold: A combined experimental and computational investigation. Journal of Molecular Spectroscopy 330, pages 147-157.
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Maximilian Beyer & Frédéric Merkt. (2016) Observation and Calculation of the Quasibound Rovibrational Levels of the Electronic Ground State of . Physical Review Letters 116:9.
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Christa Haase, Maximilian Beyer, Christian Jungen & Frédéric Merkt. (2015) The fundamental rotational interval of para-H2+ by MQDT-assisted Rydberg spectroscopy of H2. The Journal of Chemical Physics 142:6.
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Nikita Kirnosov, Keeper L. Sharkey & Ludwik Adamowicz. (2015) Para–ortho isomerization of H2+. Non-Born–Oppenheimer direct variational calculations with explicitly correlated all-particle Gaussian functions. Chemical Physics Letters 621, pages 134-140.
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Leonardo G. Diniz, Alexander Alijah & José Rachid Mohallem. (2012) Core-mass nonadiabatic corrections to molecules: $\rm \bf H_2$H2, $\rm \bf H_2^+$H2+, and isotopologues. The Journal of Chemical Physics 137:16.
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Alexander Alijah, Dirk Andrae & Juergen Hinze. (2009) An empirical formula to estimate off-diagonal adiabatic corrections to rotation–vibrational energy levels. Theoretical Chemistry Accounts 127:3, pages 149-155.
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Daniel Sprecher, Jinjun Liu, Christian Jungen, Wim Ubachs & Frédéric Merkt. (2010) Communication: The ionization and dissociation energies of HD. The Journal of Chemical Physics 133:11, pages 111102.
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Krzysztof Strasburger. (2009) Modified adiabatic approximation: Charge asymmetry in HD+ and HD. The Journal of Chemical Physics 131:13.
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Ralph Jaquet & Werner Kutzelnigg. (2008) Non-adiabatic theory in terms of a single potential energy surface. The vibration–rotation levels of and. Chemical Physics 346:1-3, pages 69-76.
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Brian T Sutcliffe. (2007) The separation of electronic and nuclear motion in the diatomic molecule. Theoretical Chemistry Accounts 118:3, pages 563-571.
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S. Stimson, M. Evans, C.-W. Hsu & C. Y. Ng. (2007) Rotationally resolved vacuum ultraviolet pulsed field ionization-photoelectron vibrational bands for HD+(XΣg+2,v+=–20). The Journal of Chemical Physics 126:16.
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Gábor Czakó, Attila G. Császár, Viktor Szalay & Brian T. Sutcliffe. (2007) Adiabatic Jacobi corrections for H2+-like systems. The Journal of Chemical Physics 126:2.
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Sergiy Bubin, Eugeniusz Bednarz & Ludwik Adamowicz. (2005) Charge asymmetry in HD+. The Journal of Chemical Physics 122:4.
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V Yakhontov & M Jungen. (2002) Nonvariational and nonadiabatic calculations on the hydrogen molecular ion and its µ isotopes . Canadian Journal of Physics 80:11, pages 1423-1432.
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José R. Mohallem & José G.R. Tostes. (2002) The adiabatic approximation to exotic leptonic molecules: further analysis and a nonlinear equation for conditional amplitudes. Journal of Molecular Structure: THEOCHEM 580:1-3, pages 27-32.
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P. L. Jacobson, R. A. Komara, W. G. Sturrus & S. R. Lundeen. (2000) Microwave spectroscopy of heliumlike Rydberg states of and  Determinations of the dipole polarizabilities of and ground states . Physical Review A 62:1.
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B. D. Esry & H. R. Sadeghpour. (1999) Adiabatic formulation of heteronuclear hydrogen molecular ion. Physical Review A 60:5, pages 3604-3617.
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Inbal Tuvi & Y. B. Band. (1999) Modified Born-Oppenheimer basis for nonadiabatic coupling: Application to the vibronic spectrum of HD+. The Journal of Chemical Physics 111:13, pages 5808-5823.
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Inbal Tuvi & Y. B. Band. (1999) Nonadiabatic coupling using a corrected Born-Oppenheimer basis: The vibronic spectrum of . Physical Review A 59:4, pages 2680-2683.
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Karl Sohlberg, Robert E. Tuzun, Bobby G. Sumpter & Donald W. Noid. (1998) Full three-body primitive semiclassical treatment of . Physical Review A 57:2, pages 906-913.
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J. Ackermann & J. Shertzer. (1996) Finite-element calculations for the three-body Coulomb problem with two equal masses. Physical Review A 54:1, pages 365-371.
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Sander H. Kim & Eric Mazur. (1995) Rydberg states of HD. Physical Review A 52:2, pages 992-1004.
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José Rachid Mohallem. (1995) Molecular approach for the bound states of ABA Coulomb systems from to . Physical Review A 51:5, pages 3541-3545.
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Cheng-Chang Chen, Ho-ping Chang & Chen-Shiung Hsue. (1994) A highly accurate calculation for the electronic states of H+2 in B-spline basis. Chemical Physics Letters 217:5-6, pages 486-489.
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P. W. Arcuni. (1993) Spin-dependent rotational autoionization of Rydberg states . Physical Review A 47:5, pages 4061-4064.
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Alan Carrington, Christine A. Leach, Andrew J. Marr, Richard E. Moss, Chris H. Pyne, Mark R. Viant, Yvonne D. West, Richard A. Kennedy & Iain R. McNab. (1992) Spectroscopy of HD+ in high angular momentum states. Chemical Physics 166:1-2, pages 145-166.
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Robert Bukowski, Bogumił Jeziorski, Robert Moszyński & Włodzimierz Kołos. (2004) Bethe logarithm and Lamb shift for the hydrogen molecular ion. International Journal of Quantum Chemistry 42:2, pages 287-319.
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L. Wolniewicz & K. Dressler. (1992) Nonadiabatic energy corrections for the vibrational levels of the B and B ′ 1Σ+ u states of the H2 and D2 molecules . The Journal of Chemical Physics 96:8, pages 6053-6064.
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A. Balakrishnan, V. Smith & B. Stoicheff. (1992) Dissociation energy of the hydrogen molecule. Physical Review Letters 68:14, pages 2149-2152.
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W. G. Sturrus, E. A. Hessels, P. W. Arcuni & S. R. Lundeen. (1991) Microwave spectroscopy of the high- L Rydberg states (ν=0, R =1) n =10 G , H , I , and K . Physical Review A 44:5, pages 3032-3053.
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P. W. Arcuni, Z. W. Fu & S. R. Lundeen. (1990) Energy difference between the (ν=0, R =1) and the (ν=0, R =3) states of , measured with interseries microwave spectroscopy of Rydberg states . Physical Review A 42:11, pages 6950-6953.
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R.E. Moss. (1990) Calculations on the 0,1 and 0,3 vibration—rotation levels of H+2. Chemical Physics Letters 172:6, pages 458-460.
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R.E. Moss. (1990) Calculated transition frequencies for microwave and far-infrared electronic transitions of the hydrogen molecular ion. Chemical Physics Letters 171:5-6, pages 513-516.
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G. G. Balint-Kurti, R. E. Moss, I. A. Sadler & M. Shapiro. (1990) Calculations of vibration-rotation energy levels of . Physical Review A 41:9, pages 4913-4921.
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P. W. Arcuni, E. A. Hessels & S. R. Lundeen. (1990) Series mixing in high- L Rydberg states of : An experimental test of polarization-model predictions . Physical Review A 41:7, pages 3648-3662.
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A Carrington, I R McNab & C A Montgomerie. (1989) Spectroscopy of the hydrogen molecular ion. Journal of Physics B: Atomic, Molecular and Optical Physics 22:22, pages 3551-3586.
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Alan Carrington, Iain R. McNab & Christine A. Montgomerie. (1989) Microwave electronic spectrum of the H2+ ion. Chemical Physics Letters 160:3, pages 237-242.
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Stephen Lundeen. (1989) Lundeen replies. Physical Review Letters 62:25, pages 3009-3009.
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Heinz Kleindienst & Andreas Müller. (1989) Nonadiabatic lower bound calculations on HD+, DT+ and HT+. Chemical Physics Letters 157:5, pages 426-429.
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E. McCormack, J. M. Gilligan, C. Cornaggia & E. E. Eyler. (1989) Measurement of high Rydberg states and the ionization potential of . Physical Review A 39:4, pages 2260-2263.
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M K Chakrabarti, S S Bhattacharyya & S Saha. (1988) Two-photon dissociation of HD + by the 1sσ g →2pπ u electronic transition via resonance in the continuum . Journal of Physics B: Atomic, Molecular and Optical Physics 21:22, pages 3717-3726.
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Alan Carrington, Iain R. McNab & Christine A. Montgomerie. (1988) Observation of the Electronic Spectrum of . Physical Review Letters 61:14, pages 1573-1575.
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Alan Carrington, Iain R. McNab & Christine A. Montgomerie. (1988) Laser excitation and electric field dissociation spectroscopy of the HD+ ion. Chemical Physics Letters 151:3, pages 258-262.
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Alan Carrington, Iain R. McNab & Christine A. Montgomerie. (1988) Spectroscopic observation of rotationally quasibound HD+ ions. Chemical Physics Letters 149:3, pages 326-329.
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Alan Carrington, Iain R. McNab & Christine A. Montgomerie. (1987) Spectroscopic observation of the highest vibrational level of the HD+(2Σ+) molecule. The Journal of Chemical Physics 87:5, pages 3246-3247.
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