Where S is the total spin S = S _ 1 + S _ 2, and \ mathbf { D } being a symmetric and traceless ( which it is when \ mathbf { D } arises from dipole-dipole interaction ) matrix, which means it is diagonalizable.
42.
:Reasons have been given for declining your article at the top of your draft . Would it not be more appropriate for an encyclopaedia if you just add a brief sentence about dipolar coupling to the article on Pake doublet or to that on Magnetic dipole dipole interaction ?"
43.
They are used to separate materials bound with weak bonds like hydrogen bonds, dipole-dipole interactions, etc . This is why you use a different tool to cut things with strong bonds like metal and minerals .-- Sean 14 : 22, 7 September 2011 ( UTC)
44.
The interaction of forces acting on the cantilever when the tip comes close to the surface, Van der Waals forces, dipole-dipole interactions, electrostatic forces, etc . cause the amplitude of the cantilever's oscillation to change ( usually decrease ) as the tip gets closer to the sample.
45.
The breakdown in Debye's theory in these regimes can be corrected by including inertial effects; allowing the molecules to be non-spherical; including dipole-dipole interactions between molecules; etc . These are computationally very difficult problems and rotational Brownian motion is a topic of much current research interest.
46.
It is specific not only for the formation of chemical bonds, but as we will see, also for magnetism, i . e . in this connection the term exchange interaction arises, a term which is essential for the origin of magnetism, and which is stronger, roughly by factors 100 and even by 1000, than the energies arising from the electrodynamic dipole-dipole interaction.
47.
:N . B . Someone at Wikipedia talk : WikiProject Physics # Nuclear spin deserves an article ( where I asked this and other related questions ) said he thought this was unlikely because " it's an electrical dipole-dipole interaction, but nuclei must have very small electrical dipole moments, because they're so small physically " But I don't know what the dipole is . . . talk ) 17 : 32, 20 April 2011 ( UTC)
