Abstract
Formulae are presented for molecular magnetic multipoles in a uniform field and for the corresponding susceptibilities. An explicit expression is given for the magnetic octopole moment of a hydrogenic atom. The well-known dipole formula for the neighbour-anisotropy or ‘pseudo-contact’ contribution to nuclear magnetic shielding is generalized to include higher multipoles. For a nucleus with coordinates (R, θ) relative to an origin in an axially symmetric group the shielding is shown to take the form (Formula presented) where Kn is a coefficient measuring the anisotropy in the group’s 2n-pole susceptibility and the Pn(cos θ) are Legendre polynomials. Sector rules for shift reagents are developed.
Original language | English |
---|---|
Pages (from-to) | 99-108 |
Number of pages | 10 |
Journal | Molecular Physics |
Volume | 24 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1972 |
Externally published | Yes |