Pith Number

pith:SMR7AFHR

pith:2026:SMR7AFHRCJTBDZED55OC4VKJCQ

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Theory of orientation averaging in X-ray spectroscopies: understanding polarization dependence in a Cartesian tensor approach

Marius Retegan, Oana Bun\u{a}u, Pieter Glatzel, Sihan Zhang

A Cartesian tensor framework unifies orientation averaging for XAS and RIXS intensities in powder samples.

arxiv:2603.12355 v4 · 2026-03-12 · cond-mat.mtrl-sci

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Claims

C1strongest claim

The formalism allows predicting angular and polarization dependences ab initio for both XAS and RIXS and is extendable to other spectroscopies. The resulting predictions show excellent agreement with RIXS experimental data at the Ce L3 edge.

C2weakest assumption

That the Cartesian transition tensors supplied by quantum-chemistry methods are sufficiently accurate representations of the underlying electronic transitions and that the derived averaging expressions correctly capture the powder average without hidden approximations or case-specific adjustments.

C3one line summary

A Cartesian tensor method unifies orientation averaging for XAS and RIXS, enabling ab initio predictions of angular and polarization dependence that match Ce L3 edge experiments.

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1 paper in Pith

Theory of orientation averaging in X-ray spectroscopies: understanding polarization dependence in a Cartesian tensor approach

Receipt and verification

First computed	2026-06-09T02:08:40.896719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9323f014f1126611e483ef5c2e5549143a657290cf90d4be4ed11c708e6e6e8c

Aliases

arxiv: 2603.12355 · arxiv_version: 2603.12355v4 · doi: 10.48550/arxiv.2603.12355 · pith_short_12: SMR7AFHRCJTB · pith_short_16: SMR7AFHRCJTBDZED · pith_short_8: SMR7AFHR

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SMR7AFHRCJTBDZED55OC4VKJCQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9323f014f1126611e483ef5c2e5549143a657290cf90d4be4ed11c708e6e6e8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1a361a5f4cf82ac9d6568013c2ec14dc1cdb34b770d649729d3927664e5ddca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-03-12T18:20:44Z",
    "title_canon_sha256": "cb4cb2bbb24330fb2161168e960639d2b70b74e506a39786d7440b1a08b86a0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.12355",
    "kind": "arxiv",
    "version": 4
  }
}