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  2. Atom (measure theory) - Wikipedia

    en.wikipedia.org/wiki/Atom_(measure_theory)

    Given a measurable space (,) and a measure on that space, a set in is called an atom if > and for any measurable subset , either () = or () = (). [ 1 ] The equivalence class of A {\displaystyle A} is defined by [ A ] := { B ∈ Σ : μ ( A Δ B ) = 0 } , {\displaystyle [A]:=\{B\in \Sigma :\mu (A\Delta B)=0\},} where Δ {\displaystyle \Delta ...

  3. Atomism - Wikipedia

    en.wikipedia.org/wiki/Atomism

    Philosophical atomism is a reductive argument, proposing not only that everything is composed of atoms and void, but that nothing they compose really exists: the only things that really exist are atoms ricocheting off each other mechanistically in an otherwise empty void.

  4. Cubic crystal system - Wikipedia

    en.wikipedia.org/wiki/Cubic_crystal_system

    In the rock-salt structure, each of the two atom types forms a separate face-centered cubic lattice, with the two lattices interpenetrating so as to form a 3D checkerboard pattern. The rock-salt structure has octahedral coordination : Each atom's nearest neighbors consist of six atoms of the opposite type, positioned like the six vertices of a ...

  5. History of atomic theory - Wikipedia

    en.wikipedia.org/wiki/History_of_atomic_theory

    The current theoretical model of the atom involves a dense nucleus surrounded by a probabilistic "cloud" of electrons. Atomic theory is the scientific theory that matter is composed of particles called atoms. The definition of the word "atom" has changed over the years in response to scientific discoveries.

  6. Quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Quantum_mechanics

    Quantum mechanics is a fundamental theory that describes the behavior of nature at and below the scale of atoms. [2]: 1.1 It is the foundation of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science.

  7. Atomic packing factor - Wikipedia

    en.wikipedia.org/wiki/Atomic_packing_factor

    Indeed, three are the atoms in the middle layer (inside the prism); in addition, for the top and bottom layers (on the bases of the prism), the central atom is shared with the adjacent cell, and each of the six atoms at the vertices is shared with other six adjacent cells. So the total number of atoms in the cell is 3 + (1/2)×2 + (1/6)×6×2 = 6.

  8. Atomic nucleus - Wikipedia

    en.wikipedia.org/wiki/Atomic_nucleus

    The adoption of the term "nucleus" to atomic theory, however, was not immediate. In 1916, for example, Gilbert N. Lewis stated, in his famous article The Atom and the Molecule, that "the atom is composed of the kernel and an outer atom or shell." [12] Similarly, the term kern meaning kernel is used for nucleus in German and Dutch.

  9. Cahn–Ingold–Prelog priority rules - Wikipedia

    en.wikipedia.org/wiki/Cahn–Ingold–Prelog...

    If an atom, A, is double-bonded to another atom, then atom A should be treated as though it is "connected to the same atom twice". [11] An atom that is double-bonded has a higher priority than an atom that is single bonded. [11] When dealing with double bonded priority groups, one is allowed to visit the same atom twice as one creates an arc. [12]

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