Atomic Charge Chirality from Electric Multipoles

We establish an electric-multipole (Qlm) criterion for chirality of local atomic charge distributions.

By Hayami, OiwaOct 29, 2026

Score████░░░░░░4.2

Caveats

Preprint; not yet peer reviewed.

VerdictWorth a reader's time today.

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Abstract

We establish an electric-multipole (Q_lm) criterion for chirality of local atomic charge distributions. For the 11 crystallographic chiral point groups, we identify representative lowest-rank multipole contents required to distinguish the opposite handednesses. For the axial groups C_n and D_n with n=2,3,4,6, chirality arises from the relative orientation of two azimuthal anisotropies with m=n, belonging to consecutive ranks l=n and n+1. Their coexistence produces a latitude-dependent twist of the n-fold charge distribution. The polar component, although allowed in C_n, is distinct from this chiral mechanism and is not required for handedness. The cubic groups T and O exhibit distinct realizations, with octahedral chirality first appearing at rank nine. We further show that, within a spinless s-p-d-f atomic basis, the scalar charge density contains multipoles only up to rank six and therefore cannot encode the handedness of C₆, D₆, or O. These results connect electric-multipole content and atomic orbital degrees of freedom to the microscopic encoding of crystallographic handedness.

Satoru Hayami, Rikuto Oiwa

The editor's rubric

Heuristic review

Leverage3 / 5: A method or resource many groups across the field will adopt within a year.; 18% of this desk’s rubric
Magnitude2 / 5: Solid incremental gain on a meaningful problem.; 20% of this desk’s rubric
Evidence3 / 5: Solid: multiple benchmarks or cohorts, ablations, fair baselines, released code or data.; 22% of this desk’s rubric
Novelty3 / 5: A genuinely new approach to an open problem.; 22% of this desk’s rubric
Trajectory2 / 5: Some room to improve with obvious engineering.; 10% of this desk’s rubric
Stakes2 / 5: Benefits a professional community (practitioners, clinicians, engineers).; 8% of this desk’s rubric

Dimension	Level	Weight	What that level means
Leverage	███░░3/5	18%	A method or resource many groups across the field will adopt within a year.
Magnitude	██░░░2/5	20%	Solid incremental gain on a meaningful problem.
Evidence	███░░3/5	22%	Solid: multiple benchmarks or cohorts, ablations, fair baselines, released code or data.
Novelty	███░░3/5	22%	A genuinely new approach to an open problem.
Trajectory	██░░░2/5	10%	Some room to improve with obvious engineering.
Stakes	██░░░2/5	8%	Benefits a professional community (practitioners, clinicians, engineers).

Editor’s rationale

Heuristic triage from title and abstract text only, not a reading of the paper. Cues found: method (we report); novelty (discovery).

How the score was computed

rank-2026-10-18

Score████░░░░░░4.2

Score = 10 × (75% × adjusted merit / 10 + 15% × attention + 10% × freshness)

Desks place stronger verdicts first, then use this score to order work within the same verdict.

Merit: 5.2 / 10; Weighted rubric, evidence-gated.
Adjusted merit: 4.4 / 10; Shrunk toward the desk prior by editor confidence (34%).
Attention: 0%; Citations, upvotes, points, mentions.
Freshness: 88%; Half-life decay since publication.

No attention signals recorded yet.

The record

Reviewed by heuristic-v10 on Oct 30, 2026, 07:29 UTC. Paper type: method.
Categories: cond-mat.str-el
BRIEF, No.6 in the Physics edition of October 30, 2026.