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  2. Actinide contraction - Wikipedia

    en.wikipedia.org/wiki/Actinide_contraction

    It is more pronounced than the lanthanide contraction because the 5f electrons are less effective at shielding than 4f electrons. [1] It is caused by the poor shielding effect of nuclear charge by the 5f electrons along with the expected periodic trend of increasing electronegativity and nuclear charge on moving from left to right.

  3. Lanthanide contraction - Wikipedia

    en.wikipedia.org/wiki/Lanthanide_contraction

    The lanthanide contraction is the greater-than-expected decrease in atomic radii and ionic radii of the elements in the lanthanide series, from left to right. It is caused by the poor shielding effect of nuclear charge by the 4f electrons along with the expected periodic trend of increasing electronegativity and nuclear charge on moving from left to right.

  4. Simplification - Wikipedia

    en.wikipedia.org/wiki/Simplification

    Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:

  5. Kainosymmetry - Wikipedia

    en.wikipedia.org/wiki/Kainosymmetry

    The four kainosymmetric orbital types filled among the known elements, one per row: 1s, 2p, 3d, 4f. Kainosymmetry (from Greek καινός "new") describes the first atomic orbital of each azimuthal quantum number (ℓ). Such orbitals include 1s, 2p, 3d, 4f, 5g, and so on. The term kainosymmetric was coined by Sergey Shchukarev .

  6. Periodic table (electron configurations) - Wikipedia

    en.wikipedia.org/wiki/Periodic_table_(electron...

    Og, 118, oganesson : 1s 2 2s 2 2p 6 3s 2 3p 6 4s 2 3d 10 4p 6 5s 2 4d 10 5p 6 6s 2 4f 14 5d 10 6p 6 7s 2 5f 14 6d 10 7p 6 Note that these electron configurations are given for neutral atoms in the gas phase, which are not the same as the electron configurations for the same atoms in chemical environments.

  7. Block (periodic table) - Wikipedia

    en.wikipedia.org/wiki/Block_(periodic_table)

    The p-block, with the p standing for "principal" and azimuthal quantum number 1, is on the right side of the standard periodic table and encompasses elements in groups 13 to 18. Their general electronic configuration is ns 2 np 16. Helium, though being the first element in group 18, is not included in the p-block.

  8. Heavy fermion material - Wikipedia

    en.wikipedia.org/wiki/Heavy_fermion_material

    In materials science, heavy fermion materials are a specific type of intermetallic compound, containing elements with 4f or 5f electrons in unfilled electron bands. [1] Electrons are one type of fermion , and when they are found in such materials, they are sometimes referred to as heavy electrons . [ 2 ]

  9. Iterated function - Wikipedia

    en.wikipedia.org/wiki/Iterated_function

    A nonchaotic case Schröder also illustrated with his method, f(x) = 2x(1 − x), yielded Ψ(x) = − ⁠ 1 / 2 ⁠ ln(1 − 2x), and hence f n (x) = − ⁠ 1 / 2 ⁠ ((1 − 2x) 2 n − 1). If f is the action of a group element on a set, then the iterated function corresponds to a free group .