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The spin magnetic moment of a charged, spin-1/2 particle that does not possess any internal structure (a Dirac particle) is given by [1] =, where μ is the spin magnetic moment of the particle, g is the g-factor of the particle, e is the elementary charge, m is the mass of the particle, and S is the spin angular momentum of the particle (with magnitude ħ/2 for Dirac particles).
The g factor [a] is a construct developed in psychometric investigations of cognitive abilities and human intelligence.It is a variable that summarizes positive correlations among different cognitive tasks, reflecting the assertion that an individual's performance on one type of cognitive task tends to be comparable to that person's performance on other kinds of cognitive tasks.
g factor may refer to: g factor (psychometrics), a model used to describe the commonality between cognitive ability test results; g-factor (physics), a quantity related to the magnetic moment of an electron, nucleus, or other particle; The g Factor: The Science of Mental Ability, a book by Arthur R. Jensen about the psychometric concept
The g Factor was reviewed favorably by Canadian psychologist J. Philippe Rushton, who called it "an awesome and monumental exposition of the case for the reality of g." [3] Robert Sternberg was more critical in his review, writing that "there is a great deal of evidence of various kinds that the general factor does not do what Jensen claims."
The g-factor for a "Dirac" magnetic moment is predicted to be g = −2 for a negatively charged, spin-1/2 particle. For particles such as the electron, this "classical" result differs from the observed value by around 0.1%; the difference compared to the classical value is the anomalous magnetic moment.
Since a gyromagnetic factor equal to 2 follows from Dirac's equation, it is a frequent misconception to think that a g-factor 2 is a consequence of relativity; it is not. The factor 2 can be obtained from the linearization of both the Schrödinger equation and the relativistic Klein–Gordon equation (which leads to Dirac's).
In atomic physics, the Landé g-factor is a multiplicative term appearing in the expression for the energy levels of an atom in a weak magnetic field. The quantum states of electrons in atomic orbitals are normally degenerate in energy , with these degenerate states all sharing the same angular momentum.
is the gyromagnetic ratio for a particle of charge, [2] equal to , where is the mass of the precessing system, while is the g-factor of the system. The g-factor is the unit-less proportionality factor relating the system's angular momentum to the intrinsic magnetic moment; in classical physics it is 1 for any rigid object in which the charge ...