The

magnetic dipole moment is now expressed as follows:

Therefore, the ground state energy dependence becomes almost linear in accordance with formula (9) for n = 0, resulting in the

magnetic dipole moment of a conical nanotube almost independent on the magnetic field and equal to the tangent of the aperture angle.

* By rotating (without translating) a

magnetic dipole moment m in an external magnetic field B = [[mu].sub.0]H, Maxwell found previously from the change in potential energy W in Art.

Our measurements show that the magnetic torque method can be used to measure

magnetic dipole moments of many permanent magnets with very good accuracy.

Equations (3a)-(3b) imply that the

magnetic dipole moment obeys the transformation (see, e.g., Ref.

Case m = [m.sub.0] Relation between density of an electric current [j.sub.[perpendicular to]] and the

magnetic dipole moment is defined from (45) in case when the

magnetic dipole moment m is directed lengthwise z:

Heo, "Minimal Dirac fermionic dark matter with nonzero

magnetic dipole moment," Physics Letters B, vol.

Here, the scalars [p.sub.-,2] and [m.sub.-,2] are the magnitudes of the electric dipole moment vector [p.sub.-,2] and the

magnetic dipole moment vector [m.sub.-,2], respectively.

In Section 3, the distributions of free and magnetization currents resulting from this magnetic dipole are carefully considered and various possible definitions for the

magnetic dipole moment are obtained.

In the magnetostatic problem, the

magnetic dipole moment of the ring is determined from the condition of zero magnetic induction through the wire, such that the magnetic field component normal to the surface vanishes on the ring (i.e., [??] x ([H.sup.inc] + [H.sup.sc]) = 0, where [??](r) is the surface normal at r).

It can be seen that the induced current flows annularly along the SRR's arms, which produces the

magnetic dipole moment and leads to the negative permeability effect of the SRR.

Primarily, the electric and

magnetic dipole moments are the basic foundations for making metamaterials.