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  2. 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 ...

  3. Azimuthal quantum number - Wikipedia

    en.wikipedia.org/wiki/Azimuthal_quantum_number

    The term "azimuthal quantum number" was introduced by Arnold Sommerfeld in 1915 [1]: II:132 as part of an ad hoc description of the energy structure of atomic spectra. . Only later with the quantum model of the atom was it understood that this number, ℓ, arises from quantization of orbital angular moment

  4. Electron configuration - Wikipedia

    en.wikipedia.org/wiki/Electron_configuration

    An electron shell is the set of allowed states that share the same principal quantum number, n, that electrons may occupy. In each term of an electron configuration, n is the positive integer that precedes each orbital letter (helium's electron configuration is 1s 2, therefore n = 1, and the orbital contains two

  5. Multiplicity (chemistry) - Wikipedia

    en.wikipedia.org/wiki/Multiplicity_(chemistry)

    Each is therefore an unpaired electron, but the total spin is zero and the multiplicity is 2S + 1 = 1 despite the two unpaired electrons. The multiplicity of the second excited state is therefore not equal to the number of its unpaired electrons plus one, and the rule which is usually true for ground states is invalid for this excited state.

  6. Measurement in quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Measurement_in_quantum...

    Quantum state tomography is a process by which, given a set of data representing the results of quantum measurements, a quantum state consistent with those measurement results is computed. [50] It is named by analogy with tomography , the reconstruction of three-dimensional images from slices taken through them, as in a CT scan .

  7. Principal quantum number - Wikipedia

    en.wikipedia.org/wiki/Principal_quantum_number

    The principal quantum number is one of four quantum numbers assigned to each electron in an atom to describe the quantum state of the electron. The other quantum numbers for bound electrons are the total angular momentum of the orbit ℓ, the angular momentum in the z direction ℓ z, and the spin of the electron s.

  8. Molecular Hamiltonian - Wikipedia

    en.wikipedia.org/wiki/Molecular_Hamiltonian

    Advanced Molecular Quantum Mechanics. Chapman and Hall. ISBN 978-0-412-10490-9. Tinkham, Michael (2003). Group Theory and Quantum Mechanics. Dover Publications. ISBN 978-0-486-43247-2. A readable and thorough discussion on the spin terms in the molecular Hamiltonian is in: McWeeny, R. (1989). Methods of Molecular Quantum Mechanics (2nd ed ...

  9. Spin quantum number - Wikipedia

    en.wikipedia.org/wiki/Spin_quantum_number

    During the period between 1916 and 1925, much progress was being made concerning the arrangement of electrons in the periodic table.In order to explain the Zeeman effect in the Bohr atom, Sommerfeld proposed that electrons would be based on three 'quantum numbers', n, k, and m, that described the size of the orbit, the shape of the orbit, and the direction in which the orbit was pointing. [10]