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  2. Magnetic quantum number - Wikipedia

    en.wikipedia.org/wiki/Magnetic_quantum_number

    The magnetic quantum number determines the energy shift of an atomic orbital due to an external magnetic field (the Zeeman effect) — hence the name magnetic quantum number. However, the actual magnetic dipole moment of an electron in an atomic orbital arises not only from the electron angular momentum but also from the electron spin ...

  3. Total angular momentum quantum number - Wikipedia

    en.wikipedia.org/wiki/Total_angular_momentum...

    The associated quantum number is the main total angular momentum quantum number j. It can take the following range of values, jumping only in integer steps: [ 1 ] | ℓ − s | ≤ j ≤ ℓ + s {\displaystyle \vert \ell -s\vert \leq j\leq \ell +s} where ℓ is the azimuthal quantum number (parameterizing the orbital angular momentum) and s is ...

  4. Spin quantum number - Wikipedia

    en.wikipedia.org/wiki/Spin_quantum_number

    The phrase spin quantum number refers to quantized spin angular momentum. The symbol s is used for the spin quantum number, and m s is described as the spin magnetic quantum number [3] or as the z-component of spin s z. [4] Both the total spin and the z-component of spin are quantized, leading to two quantum numbers spin and spin magnet quantum ...

  5. Angular momentum operator - Wikipedia

    en.wikipedia.org/wiki/Angular_momentum_operator

    Traditional derivation of the restriction to integer quantum numbers for and . [ 14 ] In the Schroedinger representation, the z component of the orbital angular momentum operator can be expressed in spherical coordinates as, [ 15 ] L z = − i ℏ ∂ ∂ ϕ . {\displaystyle L_{z}=-i\hbar {\frac {\partial }{\partial \phi }}.}

  6. Spin (physics) - Wikipedia

    en.wikipedia.org/wiki/Spin_(physics)

    The spin of a charged particle is associated with a magnetic dipole moment with a g-factor that differs from 1. (In the classical context, this would imply the internal charge and mass distributions differing for a rotating object. [4]) The conventional definition of the spin quantum number is s = ⁠ n / 2 ⁠, where n can be any non-negative ...

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    Use the Sign-in Helper to locate your username and regain access to your account by entering your recovery mobile number or alternate email address.; To manage and recover your account if you forget your password or username, make sure you have access to the recovery phone number or alternate email address you've added to your AOL account.

  8. Quantum number - Wikipedia

    en.wikipedia.org/wiki/Quantum_number

    A quantum number beginning in n = 3,ℓ = 0, describes an electron in the s orbital of the third electron shell of an atom. In chemistry, this quantum number is very important, since it specifies the shape of an atomic orbital and strongly influences chemical bonds and bond angles. The azimuthal quantum number can also denote the number of ...

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