修正“金刚石纳米线的超维纳指数”

IF 2.3 3区化学 Q3 CHEMISTRY, PHYSICAL

International Journal of Quantum Chemistry Pub Date : 2025-01-29 DOI:10.1002/qua.27514

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The numbering is from the original article; the correct versions of the equations with the corrected proof can be found below.Now we state our main results.\n \n \n Some of the first elements of the sequence defined above give the hyper-Wiener index of relatively small diamond grid samples, that is, <math>\n <semantics>\n <mrow>\n <mi>W</mi>\n <mi>W</mi>\n <mo>(</mo>\n <msub>\n <mrow>\n <mi>G</mi>\n </mrow>\n <mrow>\n <mn>1</mn>\n </mrow>\n </msub>\n <mo>)</mo>\n <mo>=</mo>\n <mn>460</mn>\n </mrow>\n <annotation>$$ WW\\left({G}_1\\right)=460 $$</annotation>\n </semantics></math>, <math>\n <semantics>\n <mrow>\n <mi>W</mi>\n <mi>W</mi>\n <mo>(</mo>\n <msub>\n <mrow>\n <mi>G</mi>\n </mrow>\n <mrow>\n <mn>2</mn>\n </mrow>\n </msub>\n <mo>)</mo>\n <mo>=</mo>\n <mn>3556</mn>\n </mrow>\n <annotation>$$ WW\\left({G}_2\\right)=3556 $$</annotation>\n </semantics></math>, <math>\n <semantics>\n <mrow>\n <mi>W</mi>\n <mi>W</mi>\n <mo>(</mo>\n <msub>\n <mrow>\n <mi>G</mi>\n </mrow>\n <mrow>\n <mn>3</mn>\n </mrow>\n </msub>\n <mo>)</mo>\n <mo>=</mo>\n <mn>14</mn>\n <mspace></mspace>\n <mn>306</mn>\n </mrow>\n <annotation>$$ WW\\left({G}_3\\right)=14\\kern0.2em 306 $$</annotation>\n </semantics></math>, <math>\n <semantics>\n <mrow>\n <mi>W</mi>\n <mi>W</mi>\n <mo>(</mo>\n <msub>\n <mrow>\n <mi>G</mi>\n </mrow>\n <mrow>\n <mn>4</mn>\n </mrow>\n </msub>\n <mo>)</mo>\n <mo>=</mo>\n <mn>40</mn>\n <mspace></mspace>\n <mn>432</mn>\n </mrow>\n <annotation>$$ WW\\left({G}_4\\right)=40\\kern.2em 432 $$</annotation>\n </semantics></math>, <math>\n <semantics>\n <mrow>\n <mi>W</mi>\n <mi>W</mi>\n <mo>(</mo>\n <msub>\n <mrow>\n <mi>G</mi>\n </mrow>\n <mrow>\n <mn>5</mn>\n </mrow>\n </msub>\n <mo>)</mo>\n <mo>=</mo>\n <mn>92</mn>\n <mspace></mspace>\n <mn>360</mn>\n </mrow>\n <annotation>$$ WW\\left({G}_5\\right)=92\\kern.2em 360 $$</annotation>\n </semantics></math>, <math>\n <semantics>\n <mrow>\n <mi>W</mi>\n <mi>W</mi>\n <mo>(</mo>\n <msub>\n <mrow>\n <mi>G</mi>\n </mrow>\n <mrow>\n <mn>6</mn>\n </mrow>\n </msub>\n <mo>)</mo>\n <mo>=</mo>\n <mn>183</mn>\n <mspace></mspace>\n <mn>220</mn>\n </mrow>\n <annotation>$$ WW\\left({G}_6\\right)=183\\kern.2em 220 $$</annotation>\n </semantics></math>, <math>\n <semantics>\n <mrow>\n <mi>W</mi>\n <mi>W</mi>\n <mo>(</mo>\n <msub>\n <mrow>\n <mi>G</mi>\n </mrow>\n <mrow>\n <mn>7</mn>\n </mrow>\n </msub>\n <mo>)</mo>\n <mo>=</mo>\n <mn>328</mn>\n <mspace></mspace>\n <mn>846</mn>\n </mrow>\n <annotation>$$ WW\\left({G}_7\\right)=328\\kern.2em 846 $$</annotation>\n </semantics></math>, <math>\n <semantics>\n <mrow>\n <mi>W</mi>\n <mi>W</mi>\n <mo>(</mo>\n <msub>\n <mrow>\n <mi>G</mi>\n </mrow>\n <mrow>\n <mn>8</mn>\n </mrow>\n </msub>\n <mo>)</mo>\n <mo>=</mo>\n <mn>547</mn>\n <mspace></mspace>\n <mn>776</mn>\n </mrow>\n <annotation>$$ WW\\left({G}_8\\right)=547\\kern.2em 776 $$</annotation>\n </semantics></math>, <math>\n <semantics>\n <mrow>\n <mi>W</mi>\n <mi>W</mi>\n <mo>(</mo>\n <msub>\n <mi>G</mi>\n <mn>9</mn>\n </msub>\n <mo>)</mo>\n <mo>=</mo>\n <mn>861</mn>\n <mspace></mspace>\n <mn>252</mn>\n </mrow>\n <annotation>$$ WW\\left({G}_9\\right)=861\\kern0.2em 252 $$</annotation>\n </semantics></math> and <math>\n <semantics>\n <mrow>\n <mi>W</mi>\n <mi>W</mi>\n <mo>(</mo>\n <msub>\n <mrow>\n <mi>G</mi>\n </mrow>\n <mrow>\n <mn>10</mn>\n </mrow>\n </msub>\n <mo>)</mo>\n <mo>=</mo>\n <mn>1</mn>\n <mspace></mspace>\n <mn>293</mn>\n <mspace></mspace>\n <mn>220</mn>\n </mrow>\n <annotation>$$ WW\\left({G}_{10}\\right)=1\\kern.2em 293\\kern.2em 220 $$</annotation>\n </semantics></math> for the graphs representing 1 to 10 unit cells next to each other in the diamond grid.","PeriodicalId":182,"journal":{"name":"International Journal of Quantum Chemistry","volume":"125 3","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/qua.27514","citationCount":"0","resultStr":"{\"title\":\"Correction to “The hyper-Wiener index of diamond nanowires”\",\"authors\":\"\",\"doi\":\"10.1002/qua.27514\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n B. 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引用次数: 0

摘要

B. Nagy，“金刚石纳米线的超维纳指数”，《国际量子化学杂志》，第124期。1 (2024): e27258。上述论文存在计算错误；给出了超维纳指数的正确公式和数值。编号来自原文；正确版本的方程式与正确的证明可以在下面找到。现在我们陈述我们的主要结果。上面定义的序列的一些第一元素给出了相对较小的菱形网格样本的超维纳指数，即：WW (g1)=460 $$ WW\left({G}_1\right)=460 $$，WW (g2)=3556 $$ WW\left({G}_2\right)=3556 $$，WW (g3)=14 306 $$ WW\left({G}_3\right)=14\kern0.2em 306 $$，$$ WW\left({G}_4\right)=40\kern。2em 432 $$, WW (G 5)=92 360 $$ WW\left({G}_5\right)=92\kern。2em 360 $$，WW (g6)=183 220 $$ WW\left({G}_6\right)=183\kern。2em 220 $$，$$ WW\left({G}_7\right)=328\kern。2em 846 $$；$$ WW\left({G}_8\right)=547\kern。2em 776 $$, WW (g9)=861 252 $$ WW\左（{G}_9\右）=861\kern0。 2em 252 $$和ww (g10) = 1 293 220$ $ WW \离开({G} _{10} \右)= 1 \ kern。293 em \ kern。2em 220 $$用于表示菱形网格中相邻的1到10个单元格的图形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Correction to “The hyper-Wiener index of diamond nanowires”

B. Nagy, “ The Hyper-Wiener Index of Diamond Nanowires,” International Journal of Quantum Chemistry 124, no. 1 (2024): e27258.

There is a miscalculation in the above paper; the correct formula and value of hyper-Wiener indices are presented here. The numbering is from the original article; the correct versions of the equations with the corrected proof can be found below.

Now we state our main results.

Some of the first elements of the sequence defined above give the hyper-Wiener index of relatively small diamond grid samples, that is, $W W (G_{1}) = 460$ , $W W (G_{2}) = 3556$ , $W W (G_{3}) = 14 306$ , $W W (G_{4}) = 40 432$ , $W W (G_{5}) = 92 360$ , $W W (G_{6}) = 183 220$ , $W W (G_{7}) = 328 846$ , $W W (G_{8}) = 547 776$ , $W W (G_{9}) = 861 252$ and $W W (G_{10}) = 1 293 220$ for the graphs representing 1 to 10 unit cells next to each other in the diamond grid.

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来源期刊

International Journal of Quantum Chemistry 化学-数学跨学科应用

CiteScore

4.70

自引率

4.50%

发文量

185

审稿时长

2 months

期刊介绍： Since its first formulation quantum chemistry has provided the conceptual and terminological framework necessary to understand atoms, molecules and the condensed matter. Over the past decades synergistic advances in the methodological developments, software and hardware have transformed quantum chemistry in a truly interdisciplinary science that has expanded beyond its traditional core of molecular sciences to fields as diverse as chemistry and catalysis, biophysics, nanotechnology and material science.