In formal terms, only states with the same total spin quantum number are "spin-allowed".

Both metal sites have high spin quantum numbers.

There are rotational matrices for each spin quantum number.

The overall spin of the nucleus is determined by the spin quantum number S.

The English equivalent of this German word is spin quantum number .

When a nucleus has a spin quantum number, I, greater than 1/2 it has a quadrupole moment.

The result is that some isotopes react preferentially, depending on their nuclear spin quantum number I.

Spin quantum numbers may take half-integer values.

Spin quantum numbers are unitless numbers by definition.

All elementary particles of a given kind have the same spin quantum number, which is an important part of a particle's quantum state.

For allowed decays, the net orbital angular momentum is zero, hence only spin quantum numbers are considered.

According to the Pauli exclusion principle each orbital can be occupied by up to two electrons, which must differ in their spin quantum number.

This value is observable and quantized, with s the spin quantum number (not the magnitude of the spin vector).

Spin quantum number (s)

Every electron has a magnetic moment and spin quantum number , with magnetic components and .

Evaluating the exponential for a given z-projection spin quantum number s gives a (2s + 1)-dimensional spin matrix.

But the splitting patterns differ from those described above for nuclei with spin greater than because the spin quantum number has more than two possible values.

More generally, the formulae for the inner products are integrals over all coordinates or momenta and sums over all spin quantum numbers.

Therefore the only way to occupy the same orbital, i.e. have the same orbital quantum numbers, is to differ in the spin quantum number.

Carbon-13 has a non-zero spin quantum number of 1/2, and hence allows the structure of carbon-containing substances to be investigated using Carbon-13 nuclear magnetic resonance.

For some atoms the spins of several unpaired electrons (s, s, ...) are coupled to form a total spin quantum number S.

•+ in solution, but the relative intensity ratios and the line width of each line depended on the nuclear spin quantum number of the coupling nuclei.

Each electron also has a spin quantum number, s, which describes the spin of each electron (spin up or spin down).

These results are true for particles of any spin, since for particles with spin, the summations are over dimensionless spin quantum numbers.

Different signs of the four-vector denote different circular polarizations, but in the 3-vector representation one should account for the polarization state separately; it actually is a spin quantum number.