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what is magic angle

Anybody know where to find references for actually deriving the Magic Angle using the Hamiltonian? Please let me know ASAP.--Zereshk 22:15, 15 September 2006 (UTC)Reply

Of interest is the fact that if you rotate a point magnetic dipole moment m on an axis perpendicular to m, the component of B(m,r) perpendicular to that axis is zero at r, where r is an angle ${\displaystyle \arccos({\sqrt {1/3}})}$ away from the plane of rotation, where:

${\displaystyle {\frac {3\mathbf {r} cos\left(\theta \right)(\mathbf {m} \cdot \mathbf {r} )}{r^{3}}}-{\frac {\mathbf {m} }{r^{3}}}=0.}$

is satisfied. Also, given that the magnetic field lines do in fact rotate with a magnet, spinning a point magnetic dipole moment on its m axis should generate a virtual charge with field lines pointing toward, or away, a common conical surface whose angle away from m is ${\displaystyle \arccos({\sqrt {1/3}})}$, the magic angle. ^talk2siNkarma86—Expert Sectioneer of Wikipedia 04:00, 4 August 2014 (UTC)Reply

I'm absolutely not a mathematician, but to my untrained eye the diagram evidently does not depict a cube, or a 45°-45°-90° triangle, which rather defeats the whole point, I would suggest. MinorProphet (talk) 14:00, 25 August 2020 (UTC)Reply