This is often useful, and the values are characterized by the azimuthal quantum number ( " l " ) and the magnetic quantum number ( " m " ).
12.
The ability of an element to catenate is primarily based on the bond energy of the element to itself, which decreases with more diffuse orbitals ( those with higher azimuthal quantum number ) overlapping to form the bond.
13.
The quantum numbers article ( http : / / en . wikipedia . org / wiki / Quantum _ numbers ) says that the magnetic quantum number should be between the negative and positive values of the azimuthal quantum number.
14.
This formula is not correct in quantum mechanics as the angular momentum magnitude is described by the azimuthal quantum number, but the energy levels are accurate and classically they correspond to the sum of potential and kinetic energy of the electron.
15.
The azimuthal quantum number is the second of a set of quantum numbers which describe the unique quantum state of an electron ( the others being the principal quantum number, following spectroscopic notation, the magnetic quantum number, and the spin quantum number ).
16.
The azimuthal quantum number is the number of angular nodes, i . e . how many zeros there are in g ( \ theta ) for 0 \ le \ theta, plus how many zeros there are in h ( \ phi ) for 0.
17.
The same constant appears in the colatitude equation, where larger values of m 2 tend to decrease the magnitude of P ( \ theta ), and values of m greater than the azimuthal quantum number \ ell do not permit any solution for P ( \ theta ).
18.
The states are labeled using the letters S, P, D, F et cetera to stand for states with ! equal to 0, 1, 2, 3 et cetera ( see azimuthal quantum number ), with a subscript giving " j ".
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