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单词 Unsöld’s theorem
释义
Unsöld’s theorem

Physics
  • A result in atomic theory stating that the square of the total wave function for a full or half-full sub-shell (see atom) is spherically symmetric. It applies to all s-sub-shells, p-sub-shells with three or six electrons, d-sub-shells with five or ten electrons, and f-sub-shells with seven or fourteen electrons. The theorem determines which atoms are spherical. It was first stated and proved by the German astrophysicist Albrecht Unsöld in 1927, using properties of spherical harmonics. It can also be used with group theory.


Chemistry
  • A result in atomic theory stating that the square of the magnitude of the total wavefunction for a full subshell or a half-full subshell in which all the spins of the electrons of the half subshell are parallel spins (i.e. all s-subshells, p-subshells with 3 or 6 electrons, d-subshells with 5 or 10 electrons, f-subshells with 7 or 14 electrons) is spherically symmetric. This theorem determines which atoms are spherical. It was first stated and proved by the German astrophysicist Albrecht Unsöld (1905–95) in 1927, using results concerning the addition of spherical harmonics. Unsöld’s theorem can also be proved in an equivalent way using group theory.


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