Bonding in the helium dimer in strong magnetic fields: the role of spin and angular momentum.

We investigate the helium dimer in strong magnetic fields, focusing on the spectrum of low-lying electronic states and their dissociation curves, at the full configuration-interaction level of theory. To address the loss of cylindrical symmetry and angular momentum as a good quantum number for nontrivial angles between the bond axis and magnetic field, we introduce the almost quantized angular momentum (AQAM) and show that it provides useful information about states in arbitrary orientations. In general, strong magnetic fields dramatically rearrange the spectrum, with the orbital Zeeman effect bringing down states of higher angular momentum below the states with pure σ character as the field strength increases. In addition, the spin Zeeman effect pushes triplet states below the lowest singlet; in particular, a field of one atomic unit is strong enough to push a quintet state below the triplets. In general, the angle between the bond axis and the magnetic field also continuously modulates the degree of σ, π, and δ character of bonds and the previously identified perpendicular paramagnetic bonding mechanism is found to be common among excited states. Electronic states with preferred skew field orientations are identified and rationalized in terms of permanent and induced electronic currents.

[1]  E. Tellgren,et al.  Excited States of Molecules in Strong Uniform and Nonuniform Magnetic Fields. , 2019, Journal of chemical theory and computation.

[2]  David B. Williams-Young,et al.  Generalized Hartree-Fock with Nonperturbative Treatment of Strong Magnetic Fields: Application to Molecular Spin Phase Transitions. , 2018, Journal of chemical theory and computation.

[3]  S. Takeyama,et al.  Record indoor magnetic field of 1200 T generated by electromagnetic flux-compression. , 2018, The Review of scientific instruments.

[4]  T. Helgaker,et al.  Uniform magnetic fields in density-functional theory. , 2017, The Journal of chemical physics.

[5]  Tom J. P. Irons,et al.  Efficient Calculation of Molecular Integrals over London Atomic Orbitals. , 2017, Journal of chemical theory and computation.

[6]  J. Gauss,et al.  Coupled-cluster theory for atoms and molecules in strong magnetic fields. , 2015, The Journal of chemical physics.

[7]  T. Helgaker,et al.  Current Density Functional Theory Using Meta-Generalized Gradient Exchange-Correlation Functionals. , 2015, Journal of chemical theory and computation.

[8]  T. Shiozaki,et al.  Fully relativistic self-consistent field under a magnetic field. , 2015, Physical chemistry chemical physics : PCCP.

[9]  S. Desch,et al.  Carbon atom in intense magnetic fields , 2014, 1409.3607.

[10]  H. Hübers,et al.  High-field impurity magneto-optics of Si:Se , 2014 .

[11]  T. Helgaker,et al.  Non-perturbative calculation of molecular magnetic properties within current-density functional theory. , 2014, The Journal of chemical physics.

[12]  Non-perturbative treatment of molecules in linear magnetic fields: calculation of anapole susceptibilities. , 2013, The Journal of chemical physics.

[13]  H. Riemann,et al.  Si:P as a laboratory analogue for hydrogen on high magnetic field white dwarf stars , 2013, Nature Communications.

[14]  S. Takeyama,et al.  Precise measurement of a magnetic field generated by the electromagnetic flux compression technique. , 2013, The Review of scientific instruments.

[15]  M. Hoffmann,et al.  A Paramagnetic Bonding Mechanism for Diatomics in Strong Magnetic Fields , 2012, Science.

[16]  T. Helgaker,et al.  Analytical GIAO and hybrid-basis integral derivatives: application to geometry optimization of molecules in strong magnetic fields. , 2012, Physical chemistry chemical physics : PCCP.

[17]  Hiroshi Nakatsuji,et al.  Accurate solutions of the Schrödinger and Dirac equations of H2+, HD+, and HT+: With and without Born–Oppenheimer approximation and under magnetic field , 2012 .

[18]  Tomoyuki Haishi,et al.  Development of a mobile magnetic resonance imaging system for outdoor tree measurements. , 2011, The Review of scientific instruments.

[19]  Y. Kimura,et al.  Experimental setup for laser spectroscopy of molecules in a high magnetic field. , 2011, The Review of scientific instruments.

[20]  Hiroshi Nakatsuji,et al.  SOLVING THE SCHRÖDINGER AND DIRAC EQUATIONS FOR A HYDROGEN ATOM IN THE UNIVERSE'S STRONGEST MAGNETIC FIELDS WITH THE FREE COMPLEMENT METHOD , 2010 .

[21]  M. B. Ferraro,et al.  Can Induced Orbital Paramagnetism Be Controlled by Strong Magnetic Fields? , 2009, Journal of chemical theory and computation.

[22]  J. Heyl,et al.  Hydrogen and helium atoms in strong magnetic fields , 2008, 0806.3113.

[23]  T. Helgaker,et al.  Nonperturbative ab initio calculations in strong magnetic fields using London orbitals. , 2008, The Journal of chemical physics.

[24]  A. Kubo The hydrogen molecule in strong magnetic fields: optimizations of anisotropic Gaussian basis sets. , 2007, The journal of physical chemistry. A.

[25]  A. Turbiner,et al.  The HeH+ molecular ion in a magnetic field , 2007 .

[26]  A. Turbiner,et al.  He 2 2 + molecular ion can exist in a magnetic field , 2006, astro-ph/0610928.

[27]  A. Turbiner,et al.  One-electron molecular systems in a strong magnetic field , 2006 .

[28]  M. Caputo,et al.  Fourth-rank hypermagnetizability of medium-size planar conjugated molecules and fullerene , 2005 .

[29]  M. B. Ferraro,et al.  Effects of strong magnetic fields on the electron distribution and magnetisability of rare gas atoms , 2004 .

[30]  M. Motokawa Physics in high magnetic fields , 2004 .

[31]  P. Schmelcher,et al.  Beryllium in strong magnetic fields , 2004, physics/0407072.

[32]  M. B. Ferraro,et al.  Calculation of the fourth-rank molecular hypermagnetizability of some small molecules. , 2004, The Journal of chemical physics.

[33]  J. Vaara,et al.  Magnetic-field dependence of59Conuclear magnetic shielding in Co(III) complexes , 2004 .

[34]  J. Vaara,et al.  Magnetic field dependence of nuclear magnetic shielding in closed-shell atomic systems , 2003 .

[35]  P. Schmelcher,et al.  Electromagnetic transitions of the helium atom in superstrong magnetic fields , 2002, physics/0312035.

[36]  P. Schmelcher,et al.  Stationary components of He I in strong magnetic fields - a tool to identify magnetic DB white dwarfs , 2001, astro-ph/0106560.

[37]  P. Schmelcher,et al.  Higher-angular-momentum states of the helium atom in a strong magnetic field , 2001 .

[38]  D. Lai Matter in strong magnetic fields , 2000, astro-ph/0009333.

[39]  V. D. Selemir,et al.  VNIIEF achievements on ultra-high magnetic fields generation , 2001 .

[40]  P. Schmelcher,et al.  Ground and excited states of the hydrogen negative ion in strong magnetic fields , 2000, physics/0003043.

[41]  P. Schmelcher,et al.  Non-zero angular momentum states of the helium atom in a strong magnetic field , 2000, astro-ph/0006098.

[42]  P.Schmelcher,et al.  Ground states of the atoms H, He,...., Ne and their singly positive ions in strong magnetic fields: The high field regime , 1999, physics/9910017.

[43]  P. Schmelcher,et al.  Ground state of the carbon atom in strong magnetic fields , 1999, physics/9909031.

[44]  P. Schmelcher,et al.  The helium atom in a strong magnetic field , 1999, physics/9902059.

[45]  D. Ceperley,et al.  Spectrum of neutral helium in strong magnetic fields , 1998, physics/9811041.

[46]  P. Schmelcher,et al.  Ab initio calculations with a nonspherical Gaussian basis set : Excited states of the hydrogen molecule , 1998, physics/9808017.

[47]  P. Schmelcher,et al.  Hydrogen molecule in a magnetic field: The lowest states of the Π manifold and the global ground state of the parallel configuration , 1997, physics/9711003.

[48]  Johansson,et al.  Exact solution for a hydrogen atom in a magnetic field of arbitrary strength. , 1996, Physical Review A. Atomic, Molecular, and Optical Physics.

[49]  Kappes,et al.  Influence of a strong magnetic field on the chemical bond of the excited H2+ ion. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[50]  J. Ozaki The change in character of the even z-parity states from antibonding to bonding in the H+2 ion by strong magnetic fields , 1993 .

[51]  Korolev,et al.  Binding energy and triplet-singlet splitting for the hydrogen molecule in ultrahigh magnetic fields. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[52]  T. Helgaker,et al.  An electronic Hamiltonian for origin independent calculations of magnetic properties , 1991 .

[53]  Schmelcher,et al.  Crossings of potential-energy surfaces in a magnetic field. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[54]  T. S. Monteiro,et al.  The H2 molecule in a magnetic field , 1990 .

[55]  G. Ferrante,et al.  The hydrogen molecule in an arbitrarily oriented magnetic field , 1987 .

[56]  A. Ažman,et al.  Molecules in strong magnetic fields , 1978 .

[57]  Y. Lozovik,et al.  Change of binding type and dissociation of molecules and biexcitons in a strong magnetic field , 1978 .

[58]  B. Simon,et al.  Formation of negative ions in magnetic fields , 1977 .

[59]  R. Garstang Atoms in high magnetic fields (white dwarfs) , 1977 .

[60]  R. Ditchfield Theoretical studies of magnetic shielding in H2O and (H2O)2 , 1976 .

[61]  H. F. Hameka On the nuclear magnetic shielding in the hydrogen molecule , 1958 .

[62]  F. London,et al.  Théorie quantique des courants interatomiques dans les combinaisons aromatiques , 1937 .