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  2. Magnetic moment - Wikipedia

    en.wikipedia.org/wiki/Magnetic_moment

    This equation is often represented using derivative notation such that =, where dm is the elementary magnetic moment and dV is the volume element. The net magnetic moment of the magnet m therefore is m = ∭ M d V , {\displaystyle \mathbf {m} =\iiint \mathbf {M} \,\mathrm {d} V,} where the triple integral denotes integration over the volume of ...

  3. Bohr magneton - Wikipedia

    en.wikipedia.org/wiki/Bohr_magneton

    The Weiss magneton was experimentally derived in 1911 as a unit of magnetic moment equal to 1.53 × 10 −24 joules per tesla, which is about 20% of the Bohr magneton. In the summer of 1913, the values for the natural units of atomic angular momentum and magnetic moment were obtained by the Danish physicist Niels Bohr as a consequence of his ...

  4. Vibrating-sample magnetometer - Wikipedia

    en.wikipedia.org/wiki/Vibrating-sample_magnetometer

    The current is proportional to the magnetization of the sample - the greater the induced current, the greater the magnetization. As a result, typically a hysteresis curve will be recorded [5] and from there the magnetic properties of the sample can be deduced. The idea of vibrating sample came from D. O. Smith's [6] vibrating-coil magnetometer.

  5. Electron magnetic moment - Wikipedia

    en.wikipedia.org/wiki/Electron_magnetic_moment

    This also was a great triumph for the new equation, as it traced the mysterious i that appears in it, and the necessity of a complex wave function, back to the geometry of space-time through the Dirac algebra. It also highlights why the Schrödinger equation, although superficially in the form of a diffusion equation, actually represents the ...

  6. Magnetochemistry - Wikipedia

    en.wikipedia.org/wiki/Magnetochemistry

    Calibration removes the need to know the density of the sample. Variable temperature measurements can be made by placing the sample in a cryostat between the pole pieces of the magnet. [1] The Evans balance. [2] is a torsion balance which uses a sample in a fixed position and a variable secondary magnet to bring the magnets back to their ...

  7. Brillouin and Langevin functions - Wikipedia

    en.wikipedia.org/wiki/Brillouin_and_Langevin...

    The magnetic moment would later be explained in quantum theory by the Bohr magneton (), which is used in the Brillouin function. It could be noted that there is a difference in the approaches of Langevin and Bohr, since Langevin assumes a magnetic polarization μ {\displaystyle \mu } as the basis for the derivation, while Bohr start the ...

  8. Gyromagnetic ratio - Wikipedia

    en.wikipedia.org/wiki/Gyromagnetic_ratio

    Therefore, the factor 2 is a consequence of the minimal coupling and of the fact of having the same order of derivatives for space and time. [ 8 ] Physical spin- ⁠ 1 / 2 ⁠ particles which cannot be described by the linear gauged Dirac equation satisfy the gauged Klein–Gordon equation extended by the g ⁠ e / 4 ⁠ σ μν F μν term ...

  9. Zeeman effect - Wikipedia

    en.wikipedia.org/wiki/Zeeman_effect

    This equation is known as the Breit–Rabi formula and is useful for systems with one valence electron in an (= /) level. [ 9 ] [ 10 ] Note that index F {\displaystyle F} in Δ E F = I ± 1 / 2 {\displaystyle \Delta E_{F=I\pm 1/2}} should be considered not as total angular momentum of the atom but as asymptotic total angular momentum .

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