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Reconstructing the periodic table using the physical parameters of nuclear architecture

This paper proposes a reconstructed periodic table organized into a symmetric 10-group matrix based on macroscopic physical parameters like atomic radii and magnetic susceptibility, revealing a binary dichotomy between odd and even columns and offering a gravity-based nuclear model to explain the system's structure and its termination at element 118.

Original authors: Yasir Arafat Maassoom

Published 2026-06-24

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CC BY 4.0

Original authors: Yasir Arafat Maassoom

Original paper licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). ✨ This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer

Imagine the Periodic Table not as a chart of chemical recipes, but as a blueprint for a giant, 10-story apartment building where the rules of construction are dictated by the weight of the bricks, not the color of the paint.

That is the core idea of Yasir Arafat Maassoom's paper. The author argues that the way we usually organize elements (based on how they react with other things) is like judging a building by how it looks when it's raining. Instead, he suggests we should look at the building's foundation, its size, and its internal weight when it's standing alone in a vacuum.

Here is the simple breakdown of his "new" periodic table:

1. The 15-Story Building with 10 Rooms per Floor

The traditional table has rows of different lengths (2, 8, 18, 32 elements). Maassoom says this is messy. By looking strictly at how big an atom is (its radius) and how it shrinks and grows in a rhythmic pattern, he found that there are actually 15 distinct "floors" (periods).

When you line these up, they fit perfectly into a grid with exactly 10 vertical columns (labeled A through J).

The Old Way: We used to put the "transition metals" (like iron and copper) and "inner transition metals" (like the lanthanides) in separate footnotes or weird gaps.
The New Way: In this 10-column building, those elements aren't separate; they are just hallways that stretch out horizontally across the main floor. There are no footnotes; everything fits in the main structure.

2. The "Odd vs. Even" Dance

The most striking discovery is a perfect split between the odd-numbered columns and the even-numbered columns. It's like a dance where partners always switch roles:

The Odd Columns (A, C, E, G, I): These are the "Solo Artists."
- Isotopes: They almost always have just one main version (isotope) found in nature.
- Magnetism: They are magnetic (paramagnetic). They act like tiny magnets that want to be near other magnets.
The Even Columns (B, D, F, H, J): These are the "Group Chorus."
- Isotopes: They are a mix of many different versions.
- Magnetism: They are non-magnetic (diamagnetic). They actively repel magnetic fields.

The paper claims this isn't a coincidence; it's a fundamental law of nature. If an element is in an odd column, it must be a solo isotope and magnetic. If it's in an even column, it must be a mix and non-magnetic.

3. The "Gravity Anchor" Theory

How does the author explain why the building is built this way? He proposes a nuclear gravity model.

Think of the nucleus (the center of the atom) as a stack of heavy weights.

The Anchor: Every new "floor" starts with a pair of protons acting as a gravitational anchor.
The Layers: These anchors hold up layers of 8 protons each.
The "Indentation" (Why some floors start later): As the building gets taller (higher atomic numbers), the "gravity" of the anchor gets weaker.
- On the lower floors, the anchor is strong enough to hold the whole row, so the floor starts at the very left (Column A).
- On middle floors, the anchor gets a bit weak, so the floor has to step inward and start at Column B.
- On the very top floors (the heaviest elements), the anchor is so weak it can't hold the first two columns at all. The floor has to skip the first two rooms and start directly at Column C.

This explains why the table looks "jagged" or indented in certain places without needing complex quantum rules. It's just the anchor getting too tired to hold the outer rooms.

4. The Hard Ceiling at Element 118

The model predicts a hard stop. The author argues that by the time you reach Element 118 (Oganesson), the "gravitational anchor" has reached its absolute limit.

Think of it like a bridge that can only hold a certain amount of weight. Once you pass Element 118, adding another proton is like trying to put one more car on a bridge that is already collapsing. The "gravity" needed to hold that extra proton together simply doesn't exist under Earth's conditions. Therefore, Element 118 is the final room in the building. You cannot build a 16th floor.

Summary

In short, this paper claims that if you ignore how elements react and only look at their size, their magnetic pull, and their natural mix of isotopes, a hidden, perfectly symmetrical 10-column, 15-floor structure emerges. It suggests that the universe has a strict "gravity-based" rulebook that limits how big an atom can get, ending definitively at element 118.

Technical Summary: Reconstructing the Periodic Table Using Nuclear Architecture Parameters

Problem Statement
The conventional periodic table, organized by chemical reactivity and valence electron configurations, exhibits structural irregularities, including non-uniform period lengths (2, 8, 18, 32) and the historical segregation of lanthanides and actinides into footnotes. The author argues that chemical properties are sensitive to external environmental factors (temperature, pressure), which may obscure the intrinsic structural symmetries of isolated atoms. The paper posits that a more fundamental, continuous, and regular periodic system can be derived by isolating atoms from chemical environments and analyzing macroscopic physical observables.

Methodology
The study isolates individual atoms by evaluating three intrinsic, universally measured physical constants:

Empirical Atomic Radii: Data compiled from verified gas-phase and single-atom measurements, utilizing van der Waals radii (based on Bondi and Mantina et al.) as the primary metric for atomic volume to ensure topological consistency.
Natural Isotope Abundance: Extracted from IUPAC reports, elements are classified into two binary categories: "unique/dominant" (single isotope $\ge$ 90% abundance) and "distributed" (multiple stable isotopes).
Magnetic Susceptibility: Macroscopic magnetic behavior (paramagnetic/ferromagnetic vs. diamagnetic) categorized using mass magnetic susceptibility values at 298 K from the CRC Handbook of Chemistry and Physics.

The 15-period physical matrix was constructed by plotting empirical atomic radii against atomic number ( $Z$ ). Period boundaries were mathematically defined by absolute local minima on the radius-versus- $Z$ curve, signifying structural collapses in effective atomic volume. Elements were then mapped sequentially into a rigid 10-column grid (Groups A–J) by aligning the initial elements (H and He) with their vertical structural counterparts in subsequent cycles. Statistical validation, including chi-squared parity testing, was performed to correlate nuclear stability with atomic magnetic axes.

Key Contributions and Results

The 15-Period, 10-Group Physical Matrix: The reanalysis of atomic radii data across 118 elements reveals approximately 15 distinct physical periods. When arranged sequentially, these periods lock into a symmetric 10-group matrix (Columns A through J).
- Integration of Transition Series: Unlike the conventional table, this model leaves no separate vertical domain for d-block or f-block elements. Lanthanides, actinides, and transition series are integrated as extended horizontal continuations within the main body of the matrix.
- Binary Dichotomy: A striking correlation emerges between column parity and physical properties:
  - Odd-numbered columns (A, C, E, G, I): Exhibit absolute unique isotope dominance and persistent paramagnetic (or ferromagnetic) orientation.
  - Even-numbered columns (B, D, F, H, J): Manifest distributed isotope mixtures and complete diamagnetic pairing.
- Visual Encoding: The paper utilizes a typographic alignment system where flush-left text denotes paramagnetic states and flush-right denotes diamagnetic states, visually encoding this absolute correlation.
Hierarchical Nuclear Gravity Model: The paper proposes a causal mechanism based on a "hierarchical, gravity-based structural stacking" within the nucleus.
- Proton-Pair Anchors: The model suggests the nuclear core is built from successive "pairs" of protons acting as localized gravitational anchors. The first pair (H–He) supports two stacked layers of 8 protons (ending at Ne and Ar).
- Structural Indentation: As successive proton-pairs are added, their relative gravitational binding strength diminishes. This attenuation explains the shifting starting positions (indentations) of periods. Strong anchors initiate periods at Column A; weakened anchors (Periods 5, 7) force a step inward to Column B; and critical attenuation in ultra-heavy cycles (Periods 9–15) forces initiation directly at Column C.
- Nature of d/f Orbitals: In this framework, d and f orbitals are not fundamental sub-shells but complex, composite electronic structures arising from the interaction of outer p-electrons with the intense, localized nuclear gravity of underlying proton-pair anchors.
Terrestrial Existence Ceiling: The model establishes a rigid physical limit for matter under terrestrial conditions. Following Radon ( $Z=86$ ), the gravitational efficacy of standard proton-pairs is exhausted. Superheavy elements ( $Z \ge 87$ ) require "quasi-pairs" with dual 8p-layer support matrices. The system reaches an absolute physical wall at Element 118 (Oganesson), where the gravitational binding strength approaches a minimum threshold that cannot be mechanically sustained beyond this point.

Significance
The paper claims to provide a "highly regular, continuous periodic system" that rectifies historical measurement anomalies and aligns with foundational quantum principles regarding atomic screening. By demonstrating that nuclear stability, macroscopic geometric volume, and atomic magnetic axes are deeply intertwined expressions of a single underlying structural mechanism, the work offers a finite, complete map of terrestrial matter. It asserts that the periodic system terminates definitively at element 118 due to the mechanical limits of nuclear gravitational binding, rather than arbitrary chemical or quantum mechanical constraints. The study concludes that this physical grid reveals a previously unobserved binary dichotomy in elemental organization, driven by a hierarchical nuclear architecture.