scholarly journals A resonating-valence-bond theory of metals and intermetallic compounds

1949 ◽  
Vol 196 (1046) ◽  
pp. 343-362 ◽  
Keyword(s):  
Electronic Structure ◽  
Bond Formation ◽  
Valence Bond ◽  
Bond Orders ◽  
Interatomic Distances ◽  
Metallic Structures ◽  
Valence Bond Theory ◽  
Characteristic Structural Feature ◽  
Resonating Valence Bond ◽  
Bond Theory

The resonating-valence-bond theory of metals discussed in this paper differs from the older theory in making use of all nine stable outer orbitals of the transition metals, for occupancy by unshared electrons and for use in bond formation; the number of valency electrons is consequently considered to be much larger for these metals than has been hitherto accepted. The metallic orbital, an extra orbital necessary for unsynchronized resonance of valence bonds, is considered to be the characteristic structural feature of a metal. It has been found possible to develop a system of metallic radii that perm its a detailed discussion to be given of the observed interatomic distances of a metal in term s of its electronic structure. Some peculiar metallic structures can be understood by use of the postulate that the most simple fractional bond orders correspond to the most stable modes of resonance of bonds. The existence of Brillouin zones is compatible with the resonating-valence-bond theory, and the new metallic valencies for metals and alloys with filled-zone properties can be correlated with the electron numbers for important Brillouin polyhedra.

scholarly journals The electronic structure of carbones revealed: insights from valence bond theory

2021 ◽  
Vol 23 (5) ◽  
pp. 3327-3334
Author(s):  
Remco W. A. Havenith ◽  
Ana V. Cunha ◽  
Johannes E. M. N. Klein ◽  
Francesca Perolari ◽  
Xintao Feng
Keyword(s):  
Electronic Structure ◽  
Valence Bond ◽  
Carbon Suboxide ◽  
Valence Bond Theory ◽  
Bond Theory

Valence bond theory reveals the nature of the OC–C bond in carbon suboxide and related allene compounds.

A BRIEF REPORT ON THE CURRENT STATUS OF RESONATING-VALENCE-BOND THEORY

1988 ◽  
Vol 02 (07) ◽  
pp. 939-943 ◽  
Author(s):  
Z. ZOU ◽  
T.C. HSU
Keyword(s):  
Quantum Hall ◽  
Valence Bond ◽  
Square Lattice ◽  
Current Status ◽  
Fractional Quantum ◽  
New Developments ◽  
Fractional Quantum Hall ◽  
Valence Bond Theory ◽  
Resonating Valence Bond ◽  
Bond Theory

We report on the current status of the Resonating-Valence-Bond theory, reviewing recent progress made by the Princeton group. We outline new developments concerning the topology of spinons, the geometric “meron” description, the SU(2) gauge theory for the insulating state and the possible connection between fractional quantum Hall state and an RVB state on a square lattice. The current understanding of the normal metallic and superconducting states is also summarized.

scholarly journals Resonating Valence Bond Theory of Coupled Heisenberg Chains

1994 ◽  
Vol 73 (6) ◽  
pp. 886-889 ◽  
Author(s):  
S. R. White ◽  
R. M. Noack ◽  
D. J. Scalapino
Keyword(s):  
Valence Bond ◽  
Valence Bond Theory ◽  
Resonating Valence Bond ◽  
Heisenberg Chains ◽  
Bond Theory

The spin-coupled valence bond theory of molecular electronic structure. I. Basic theory and application to the 2 Σ + states of BeH

1980 ◽  
Vol 371 (1747) ◽  
pp. 525-552 ◽  
Keyword(s):  
Electronic Structure ◽  
Ground State ◽  
Valence Bond ◽  
Present Theory ◽  
Hamiltonian Matrix ◽  
Molecular Electronic ◽  
Good Convergence ◽  
Valence Bond Theory ◽  
Bond Theory ◽  
Molecular Electronic Structure

The spin-coupled valence bond theory of molecular electronic structure is developed, according to which the single configuration spin-coupled theory is reformulated so as to yield both ground and excited orbitals. These orbitals are subsequently used to generate v.b. structures, the Hamiltonian matrix of which is diagonalized as in the conventional v.b. method. The fundamental feature of the excited spin-coupled orbitals is that, except those with the highest energy, they retain the characteristic distorted atomic form of the ground state orbitals, and correspondingly possess negative orbital energies. This leads to compact and rapidly convergent wavefunctions for the ground and lower-lying excited states, thus overcoming one of the basic drawbacks of the original v.b. theory. The theory is applied to the 2 ∑ + states of BeH by using 53, 71 and 80 structures of this kind. Very good convergence is found for the lowest six states, and the total energy of the ground state is below that given by a very large m.o.c.i. calculation. The present theory is thus a powerful and flexible alternative to m.o.c.i. calculations but using about an order of magnitude fewer functions.

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