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関連する概念動画

Periodic Classification of the Elements04:00

Periodic Classification of the Elements

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The periodic table arranges atoms based on increasing atomic number so that elements with the same chemical properties recur periodically. When their electron configurations are added to the table, a periodic recurrence of similar electron configurations in the outer shells of these elements is observed. Because they are in the outer shells of an atom, valence electrons play the most important role in chemical reactions. The outer electrons have the highest energy of the electrons in an atom...
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The Nucleosome Core Particle02:10

The Nucleosome Core Particle

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Nucleosomes are the DNA-histone complex, where the DNA strand is wound around the histone core. The histone core is an octamer containing two copies of H2A, H2B, H3, and H4 histone proteins.
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Elements and Compounds01:27

Elements and Compounds

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Pure substances consist of only one type of matter. A pure substance can be an element or a compound. An element consists of only one type of atom, while a compound consists of two or more types of atoms held together by a chemical bond.
Elements
Elements are classified as atomic or molecular based on the nature of their basic units. They are unique forms of matter with specific chemical and physical properties that cannot break down into smaller substances by ordinary chemical reactions. There...
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Classification of Elements and Compounds02:54

Classification of Elements and Compounds

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Pure substances consist of only one type of matter. A pure substance can be an element or a compound. An element consists of only one type of atom, while a compound consists of two or more types of atoms held together by a chemical bond. Elements are classified as atomic or molecular based on the nature of their basic units.
Compounds are pure substances composed of two or more elements in fixed, definite proportions. Compounds are classified as ionic or molecular (covalent) based on the bonds...
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Systematic Error: Methodological and Sampling Errors01:15

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In the case of systematic errors, the sources can be identified, and the errors can be subsequently minimized by addressing these sources. According to the source, systematic errors can be divided into sampling, instrumental, methodological, and personal errors.
Sampling errors originate from improper sampling methods or the wrong sample population. These errors can be minimized by refining the sampling strategy. Defective instruments or faulty calibrations are the sources of instrumental...
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Fundamental Attribution Error01:14

Fundamental Attribution Error

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According to some social psychologists, people tend to overemphasize internal factors as explanations—or attributions—for the behavior of other people. They tend to assume that the behavior of another person is a trait of that person, and to underestimate the power of the situation on the behavior of others. They tend to fail to recognize when the behavior of another is due to situational variables, and thus to the person’s state. This erroneous assumption is...
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La-Luの元素に対する大コアECPのエラー整合性基底関数系

Marcel Lukanowski1, Florian Weigend1

  • 1Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology, Kaiserstr. 12, 76131 Karlsruhe, Germany. florian.weigend@kit.edu.

Physical chemistry chemical physics : PCCP
|February 6, 2026
PubMed
まとめ
この要約は機械生成です。

ランタニド有効コアポテンシャル用の新しいガウス基底関数系を開発し、化学計算の精度を向上させました。これらのエラー整合性セットは、ランタニド元素の計算化学を強化します。

キーワード:
基底関数系有効コアポテンシャルランタニド計算化学エラー整合性

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科学分野:

  • 計算化学
  • 量子化学
  • 原子・分子物理学

背景:

  • 有効コアポテンシャル（ECP）は、コア電子をポテンシャルに置き換えることで計算を簡略化します。
  • ランタニドは、その複雑な電子構造により、特有の計算上の課題をもたらします。
  • 既存の基底関数系では、ランタニドECPに必要な精度を完全に捉えられない場合があります。

研究 の 目的:

  • ランタニド大コアECP（lcECP）用のKarlsruhe def2基底関数系を拡張すること。
  • 様々なf電子占有率に対して新しい基底関数系（SV、TZV、QZV）を最適化すること。
  • 既存のdef2基底関数系とのエラー整合性を確保すること。

主な方法:

  • 原子ハートリー・フォック計算を用いた、区分的に縮約されたガウス基底関数系の最適化。
  • ランタニド（La-Lu）用のlcECPを用いた基底関数系（lcecp-k-XV）の開発。
  • 120個の分子に対する基底関数系限界および全電子計算との比較によるエラー整合性の評価。

主要な成果:

  • ランタニドlcECP用のdef2基底関数系を最適化および拡張しました。
  • 異なるf電子配置（f^n-k）に対応するlcecp-k-XV基底関数系を開発しました。
  • エラー整合性に関してdef2シリーズとの適合性を示しました。

結論:

  • 新しい基底関数系は、ランタニド計算に対して正確でエラー整合性のある記述を提供します。
  • この拡張は、ランタニド化合物の研究のための計算化学ツールを大幅に改善します。
  • 最適化されたセットは、分子特性のより信頼性の高い予測を容易にします。