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  2. 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 ...

  3. Spin (physics) - Wikipedia

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

    These are indicated by assigning the particle a spin quantum number. [2]: 183–184 The SI units of spin are the same as classical angular momentum (i.e., N·m·s, J·s, or kg·m 2 ·s −1). In quantum mechanics, angular momentum and spin angular momentum take discrete values proportional to the Planck constant.

  4. Term symbol - Wikipedia

    en.wikipedia.org/wiki/Term_symbol

    S is the total spin quantum number for the atom's electrons. The value 2S + 1 written in the term symbol is the spin multiplicity, which is the number of possible values of the spin magnetic quantum number M S for a given spin S. J is the total angular momentum quantum number for the atom's electrons. J has a value in the range from |L − S ...

  5. Quantum number - Wikipedia

    en.wikipedia.org/wiki/Quantum_number

    In quantum physics and chemistry, quantum numbers are quantities that characterize the possible states of the system. To fully specify the state of the electron in a hydrogen atom, four quantum numbers are needed. The traditional set of quantum numbers includes the principal, azimuthal, magnetic, and spin quantum numbers. To describe other ...

  6. Magnetic quantum number - Wikipedia

    en.wikipedia.org/wiki/Magnetic_quantum_number

    The spin magnetic quantum number m s specifies the z-axis component of the spin angular momentum for a particle having spin quantum number s. For an electron, s is 1 ⁄ 2 , and m s is either + 1 ⁄ 2 or − 1 ⁄ 2 , often called "spin-up" and "spin-down", or α and β.

  7. List of equations in quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    (Common) symbol/s Defining equation SI unit Dimension Wavefunction: ... s = spin quantum number; m s = spin magnetic quantum number;

  8. Angular momentum operator - Wikipedia

    en.wikipedia.org/wiki/Angular_momentum_operator

    s is called spin quantum number or just spin. ... the term symbol gives the quantum numbers associated with the operators ,,. Orbital angular momentum in spherical ...

  9. Hund's rules - Wikipedia

    en.wikipedia.org/wiki/Hund's_rules

    Therefore, the term with lowest energy is also the term with maximum and maximum number of unpaired electrons with equal spin angular momentum (either +1/2 or -1/2). For a given multiplicity, the term with the largest value of the total orbital angular momentum quantum number has the lowest energy.