Final answer:The electron configuration  [Xe] 6s²4f¹⁴5d⁶ when corrected to  [Xe] 6s²4f¹⁴5d⁶corresponds to the element Tungsten (W), atomic number 74, which utilizes the noble gas shorthand for convenience. This is part of the lanthanide and actinide series where the abbreviated form shortens the full electronic configuration.Explanation:The student has provided an electron configuration and wishes to identify the element. The shorthand electron configuration given is [Xe] 6s²4f¹⁴5d⁶, which uses the noble gas xenon (Xe) as a reference point to simplify the notation of the electron arrangement. To determine which element this electron configuration corresponds to, we notice that it extends beyond xenon's electron configuration by filling two 6s electrons, a complete set of fourteen 4f electrons, and six 5d electrons. Using the periodic table and the Aufbau Principle, we can deduce that this configuration belongs to an element in the lanthanide and actinide series, also considering the position in the periodic table.Since the electron configuration given has a typo (there's no element with this exact configuration), we can correct it based on similar configurations. The intended correct configuration might be [Xe] 6s²4f¹⁴5d⁴ which would correspond to the element Tungsten (W) with atomic number 74. The [Xe] denotes that the element has all the electrons up to xenon, the 6s2 electrons represent the two electrons in the 6th shell's s-orbital, the 4f14 denotes a filled 4f subshell, and the 5d4 indicates four electrons in the 5d subshell. This is a simplified way of listing all 74 electrons without writing out the entire configuration of xenon plus the additional electrons....

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