Quantum Chemistry Teaser (643 words)

Update March 30th, 2016

More information about Quantum Geometry!

Quantum Mechanics

As opposed to the fine (teensy) scale of QM, our day to day world is realized. As such, we are able to define things like distance, momentum, energy and time.  As such, we often struggle to contextualize and understand the results of QM, for which these observables are not independent of the act of observation. Metaphors such as: “the moon doesn’t exist until you look at it” are patently wrong. The moon is a solid, it exists whether or not we observe it.

It seems we have obtained some results in QM but that our understanding is incomplete.

It is difficult to conceptualize QM because on the fine scale, the concepts of distance, momentum, energy and time do not have meaning independent of the act of observation: they exist in potential until observed. Nonetheless, we expect that if we experience 3 dimensions of space and one of time in the macrostates (arrangements of solid mass) of our world, so too should be observed in the microstates (atoms and arrangements thereof).

The Periodic Table

Currently, the periodic table is imagined as:

old periodic tableSource

The main problem with the old formulation of the periodic table is that it makes a division where there is none (the noble gases ought to be the centre as they are the stable, or maximal Entropy, states).

Below is my alternative formulation of the periodic table. The orbitals are shown in different colours.

black microstates circle approximationQuantum Mechanical Periodic Table (Energetic)

Each circle represents 2 electrons (fundamental dualism is a key aspect of our world). In total, there are 7 sections to this diagram: one for each row of the periodic table. We can see that in the first portion, there are two elements: Hydrogen and Helium. In the next two there are 8 = (2*22), next there are 18 = (2*32) and finally 32 =(2*42) elements depicted.

Since an individual atom is a quantum mechanical (QM) system, this diagram sheds light on the nature of reality on the quantum level: it looks a lot like Skittles. I postulate that each dual layer (layer where there are two sets of Skittles) represents one physical dimension and that the primary layer (H & He) represent a single “time” event ushering in three distinct spatial events. We can imagine the first time event as matter starting to exist from nothingness, then ascending to the first physical dimension (Li-Ar) and spiraling up from there. Subsequent dimensions are not independent of the ones beneath them as they all vibrate in the same configuration space.

postulates of quantum chemistry 2Swirly Interpretation of the Periodic Table

Mass spirals up from the fundamental dual through the microcanonical physical dimensions. Since we are on the microcanonical scale, these dimensions are indistinguishable: all three physical dimensions of space are permeated when matter pushes into existence.

To assist in understanding, below is a physical interpretation of the QM periodic table shown above. The yellow portion represents the noble gases. The table starts in the middle, H and He are the yin-yang symbol in the centre and spirals outward. The earth metals are just under the noble gases, the halides span across the top, the transition metals are on the middle right and the lanthanides and actinides are squeezed in close to the adjacent S-Orbitals (to the right of Ba & Ra).

OLYMPUS DIGITAL CAMERA
Quantum Mechanical Periodic Table (Physical)

We can see that on the QM level, there is less physical space accorded to higher energy orbitals. This is why there is less variation among the properties of actinides/lanthanides than the transition metals and less variation between the transition metals than the halides.

More interesting than the particular shape of the periodic table is: why does it have this shape? What is the power of this formulation? What predictions does this interpretation make?

All these questions and much more will be explored in my book.

Thank you all again for your love and support.

 

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11 thoughts on “Quantum Chemistry Teaser (643 words)

  1. Do you have a chart with more detail my eyes aren’t as strong as yours, so I find it hard to read in places without the ability to blow it up. Is Hydrogen/ Helium the Yin/Yang at the center? What Lies in the wedge betwixt B and Be, I don’t see any elements identified there? Yet space exists are these undiscovered elements?

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  2. I know this is probably up to the reader to determine, but when you say distribution of allotropes, with respect to what? Their distribution in temperature? How there is a distinct fracture down its phase diagram?

    And yes. I’m struggling to see what the neighbours of S in your diagram suggest about S.

    I’m sure the valence orbital of sulfur would be the major factor in what allotropes it can form, but we already know it has an f-orbital and lies near f-orbital elements despite your interpretation.

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