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The f electron orbitals are asymmetric, can be unfilled and account for many physical and chemical properties of matter. https://lnkd.in/eaQ4p_NY View in LinkedIn

MOIRÉ INTERFERENCE PATTERNS. “Moiré systems formed by 2D atomic layers have widely tunable electrical and optical properties and host exotic, strongly correlated and topological phenomena, including superconductivity, correlated insulator states and orbital magnetism.” https://www.nature.com/articles/s41578-021-00284-1 View in LinkedIn

APPLICABILITY. “Recently, first-principles electronic structure calculations have been shown to be suitable for investigation of the multipole ordered states in correlated solid state materials.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

FIRST PRINCIPLES. “To treat multipolar degrees of freedom from first principles, it is thus needed to treat strong local electron correlations, spin–orbit interaction, and the multi-orbital f electron character on an equal footing.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

F ELECTRON ORBITALS. “The electron orbital letters go in the order s, p, d, f, g, h, i, j, etc. At the fourth and higher levels, there are seven f orbitals in addition to the 4s, 4p, and 4d orbitals. Counting the 4s, 4p, and 4d orbitals, this makes a total of 16 orbitals in the fourth level. They have even more complicated shapes. s, p, d, and f orbitals are available at all higher energy levels as well.” (Great graphics). https://lnkd.in/eaQ4p_NY View in LinkedIn

FLAT INFINITY LOOP. “Möbius strip geometry. Atoms loaded to lattices fulfill the boundary conditions of the Möbius strip geometry.” https://lnkd.in/e5UXiem5 View in LinkedIn

FIBONACCI SERIES. “Then, when the discrete time translation symmetry (defined by the oscillation period of the mirrors) is spontaneously broken, the sequence of atoms reflected from one mirror and the other mirror forms a Fibonacci quasi-crystal in time.” https://lnkd.in/e5UXiem5 View in LinkedIn

GOLDEN NUMBER. “Use of a 2D time lattice allows a range of 2D condensed matter phenomena to be investigated with two oscillating mirrors. For example, it is possible to realize spontaneous formation of time quasi-crystals when the ratio of the resonance numbers along the x and y directions, s /s , approximates the golden number ≈ 1.618.” https://lnkd.in/e5UXiem5 View in LinkedIn

ELECTRON ORBITAL SHAPES. “In condensed matter physics, the angular distribution of a spin-polarized electron cloud around a nucleus can be characterized by spherical harmonics.” https://journals.jps.jp/doi/full/10.7566/JPSJ.87.041008 View in LinkedIn

THE PLAN. “Although time is a single degree of freedom, crystalline structures in time with the properties of 2D (or 3D) condensed matter systems can be created by a BEC bouncing resonantly between two (or three) oscillating atom mirrors.” (BEC = Bose-Einstein condensate). https://lnkd.in/e5UXiem5 View in LinkedIn