title: Theoretical estimates of the anapole magnetizabilities of C₄H₄X₂ cyclic molecules for X=O, S, Se, and Te.
abstract: Calculations have been carried out for C4H4X2 cyclic molecules, with X=O, S, Se, and Te, characterized by the presence of magnetic-field induced toroidal electron currents and associated orbital anapole moments. The orbital anapole induced by a static nonuniform magnetic field B, with uniform curl C=∇×B, is rationalized via a second-rank anapole magnetizability tensor a(αβ), defined as minus the second derivative of the second-order interaction energy with respect to the components C(α) and B(β). The average anapole magnetizability a̅ equals -χ̅, the pseudoscalar obtained by spatial averaging of the dipole-quadrupole magnetizability χ(α,βγ). It has different sign for D and L enantiomeric systems and can therefore be used for chiral discrimination. Therefore, in an isotropic chiral medium, a homogeneous magnetic field induces an electronic anapole A(α), having the same magnitude, but opposite sign, for two enantiomorphs.
authors.affiliation: Departamento de Física, Facultad de Ciencias Exactas y Naturales, and IFIBA, CONICET, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I, (1428) Buenos Aires, Argentina.
authors.forename: G I
authors.initials: GI
authors.lastname: Pagola
authors.affiliation: Departamento de Física, Facultad de Ciencias Exactas y Naturales, and IFIBA, CONICET, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I, (1428) Buenos Aires, Argentina.
authors.forename: M B
authors.initials: MB
authors.lastname: Ferraro
authors.affiliation: Departamento de Física, Northeastern University, Av. Libertad 5500, W3400 AAS, Corrientes, Argentina.
authors.forename: P F
authors.initials: PF
authors.lastname: Provasi
authors.affiliation: Dipartimento di Chimica, Università degli Studi di Modena e Reggio Emilia, via G. Campi 183, 41100 Modena, Italy.
authors.forename: S
authors.initials: S
authors.lastname: Pelloni
authors.affiliation: Dipartimento di Chimica, Università degli Studi di Modena e Reggio Emilia, via G. Campi 183, 41100 Modena, Italy.
authors.forename: P
authors.initials: P
authors.lastname: Lazzeretti