2025年7月8日火曜日

Montgomery's pair correlation conjecture

Hybrid orbitals are the explanation of molecular geometry and atomic bonding.
This is Montgomery's pair correlation conjecture, which is the pair correlation between pairs of zeros of the Riemann zeta function.

γ and γ' are imaginary.
This is like piling prime numbers.

Methane and hydrogen are gasses.
C=C is carbon bonding which is in surface. Gasses move like ↑ ↑ ↓. This is called π bond.

2025年7月7日月曜日

Hybrid orbital

P^2+Σ2P is the pattern of prime numbers which move like atom.

This is Carbon.
There are 6 electrons.

Σ is hybrid, and atomic orbitals are mixtures. Then, you see sp^3.

You move one electron in 2S to 2P. This is called promotion. 2S lose one electron.
There are 4 hydrogen atoms.
This is tetrahedron and sp^3. Methane is CH4.


In sp^2 hybridisation, 2S move to 2P.
This is triangle and sp^2. Ethylen is C2H4 which is the double bond. C=C is connected tightly.

2025年2月23日日曜日