Home

Citation: ZHOU Tao, XU Can, ZHANG Xiao-Fang, CHENG Chuan, CHEN Liang, XU Ying. A Simple Theoretical Model for Ring and Nanotube Radial Breathing Mode[J]. Acta Physico-Chimica Sinica, ;2008, 24(09): 1579-1583. doi: 10.1016/S1872-1508(08)60065-0 shu

A Simple Theoretical Model for Ring and Nanotube Radial Breathing Mode

1.
Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University, Lanzhou 730000, P. R. China

Received Date: 19 February 2008
Available Online: 17 June 2008

The radial breathing modes (RBMs) of (M )n and (BeO)n rings (n=3-10) were calculated using the density functional theory at B3LYP/6-31G(d) level. It was found that for large rings, the radial breathing mode (RBM) frequency was inversely proportional to the centre diameter, but the variation of bond length may lead to deviations from a linear behavior. The deviations caused by inverse cubic term of diameter and variation of bond length, became dramatic with the decrease of ring diameter. From the point of chemical bond view, using one-dimensional harmonic oscillator and the method of cascade and parallel connection of “springs”, the linear relation and deviations were explained. The model can be applied to nanotubes.
- Radial breathing mode,
- Diameter,
- Ring,
- Nanotubes,
- Bond length
1. [1]
  Xiufang Wang , Donglin Zhao , Kehua Zhang , Xiaojie Song . “Preparation of Carbon Nanotube/SnS₂ Photoanode Materials”: A Comprehensive University Chemistry Experiment. University Chemistry, 2024, 39(4): 157-162. doi: 10.3866/PKU.DXHX202308025
2. [2]
  Hailang JIA , Hongcheng LI , Pengcheng JI , Yang TENG , Mingyun GUAN . Preparation and performance of N-doped carbon nanotubes composite Co₃O₄ as oxygen reduction reaction electrocatalysts. Chinese Journal of Inorganic Chemistry, 2024, 40(4): 693-700. doi: 10.11862/CJIC.20230402
3. [3]
  Conghao Shi , Ranran Wang , Juli Jiang , Leyong Wang . The Illustration on Stereoisomers of Macrocycles Containing Multiple Chiral Centers via Tröger Base-based Macrocycles. University Chemistry, 2024, 39(7): 394-397. doi: 10.3866/PKU.DXHX202311034
4. [4]
  Tao Wen , Tao Zhang , Changguo Sun , Jinyu Liu . Preparation of Dess-Martin Reagent and Its Application in Oxidizing Cyclohexanol. University Chemistry, 2024, 39(5): 20-26. doi: 10.3866/PKU.DXHX202309055
5. [5]
  Keweiyang Zhang , Zihan Fan , Liyuan Xiao , Haitao Long , Jing Jing . Unveiling Crystal Field Theory: Preparation, Characterization, and Performance Assessment of Nickel Macrocyclic Complexes. University Chemistry, 2024, 39(5): 163-171. doi: 10.3866/PKU.DXHX202310084
6. [6]
  Chi Li , Jichao Wan , Qiyu Long , Hui Lv , Ying Xiong . N-Heterocyclic Carbene (NHC)-Catalyzed Amidation of Aldehydes with Nitroso Compounds. University Chemistry, 2024, 39(5): 388-395. doi: 10.3866/PKU.DXHX202312016
7. [7]
  Hongling Yuan , Jialin Xie , Jiawei Wang , Jixiang Zhao , Jiayan Liu , Qing Feng , Wei Qi , Min Liu . Cyclic Olefin Copolymer (COC): The Agile Vanguard in the Realm of Materials. University Chemistry, 2024, 39(7): 294-298. doi: 10.12461/PKU.DXHX202311041
8. [8]
  Guojie Xu , Fang Yu , Yunxia Wang , Meng Sun . Introduction to Metal-Catalyzed β-Carbon Elimination Reaction of Cyclopropenones. University Chemistry, 2024, 39(8): 169-173. doi: 10.3866/PKU.DXHX202401060
9. [9]
  Hong Zheng , Xin Peng , Chunwang Yi . The Tale of Caprolactam Cyclic Oligomers: The Ever-changing Life of “Princess Cyclo”. University Chemistry, 2024, 39(9): 40-47. doi: 10.12461/PKU.DXHX202403058
10. [10]
  Haihua Yang , Minjie Zhou , Binhong He , Wenyuan Xu , Bing Chen , Enxiang Liang . Synthesis and Electrocatalytic Performance of Iron Phosphide@Carbon Nanotubes as Cathode Material for Zinc-Air Battery: a Comprehensive Undergraduate Chemical Experiment. University Chemistry, 2024, 39(10): 426-432. doi: 10.12461/PKU.DXHX202405100
11. [11]
  Ruoxi Sun , Yiqian Xu , Shaoru Rong , Chunmiao Han , Hui Xu . The Enchanting Collision of Light and Time Magic: Exploring the Footprints of Long Afterglow Lifetime. University Chemistry, 2024, 39(5): 90-97. doi: 10.3866/PKU.DXHX202310001
12. [12]
  Ruolin CHENG , Haoran WANG , Jing REN , Yingying MA , Huagen LIANG . Efficient photocatalytic CO₂ cycloaddition over W₁₈O₄₉/NH₂-UiO-66 composite catalyst. Chinese Journal of Inorganic Chemistry, 2024, 40(3): 523-532. doi: 10.11862/CJIC.20230349
13. [13]
  Jianjun LI , Mingjie REN , Lili ZHANG , Lingling ZENG , Huiling WANG , Xiangwu MENG . UV-assisted degradation of tetracycline hydrochloride by MnFe₂O₄@activated carbon activated persulfate. Chinese Journal of Inorganic Chemistry, 2024, 40(10): 1869-1880. doi: 10.11862/CJIC.20240187
14. [14]
  Junjie Zhang , Yue Wang , Qiuhan Wu , Ruquan Shen , Han Liu , Xinhua Duan . Preparation and Selective Separation of Lightweight Magnetic Molecularly Imprinted Polymers for Trace Tetracycline Detection in Milk. University Chemistry, 2024, 39(5): 251-257. doi: 10.3866/PKU.DXHX202311084
15. [15]
  Shengyan Yang , Xiangzhen Meng , Xin Wang , Yang Zhang . Construction and Exploration of an Online-Offline Blended “Eight-Link” Teaching Method for Physical Chemistry Experiments Based on OBE Concept. University Chemistry, 2024, 39(11): 28-37. doi: 10.3866/PKU.DXHX202402019
16. [16]
  Rui Li , Jiayu Zhang , Anyang Li . Two Levels of Understanding of Chemical Bonds: a Case of the Bonding Model of Hypervalent Molecules. University Chemistry, 2024, 39(2): 392-398. doi: 10.3866/PKU.DXHX202308051
17. [17]
  Danqing Wu , Jiajun Liu , Tianyu Li , Dazhen Xu , Zhiwei Miao . Research Progress on the Simultaneous Construction of C—O and C—X Bonds via 1,2-Difunctionalization of Olefins through Radical Pathways. University Chemistry, 2024, 39(11): 146-157. doi: 10.12461/PKU.DXHX202403087
18. [18]
  Linhan Tian , Changsheng Lu . Discussion on Sextuple Bonding in Diatomic Motifs of Chromium Family Elements. University Chemistry, 2024, 39(8): 395-402. doi: 10.3866/PKU.DXHX202401056
19. [19]
  Jiaqi AN , Yunle LIU , Jianxuan SHANG , Yan GUO , Ce LIU , Fanlong ZENG , Anyang LI , Wenyuan WANG . Reactivity of extremely bulky silylaminogermylene chloride and bonding analysis of a cubic tetragermylene. Chinese Journal of Inorganic Chemistry, 2024, 40(8): 1511-1518. doi: 10.11862/CJIC.20240072
20. [20]
  Gaofeng Zeng , Shuyu Liu , Manle Jiang , Yu Wang , Ping Xu , Lei Wang . Micro/Nanorobots for Pollution Detection and Toxic Removal. University Chemistry, 2024, 39(9): 229-234. doi: 10.12461/PKU.DXHX202311055

Get Citation

PDF

XML

Metrics

PDF Downloads(1779)
Abstract views(4271)
HTML views(224)

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Address：Zhongguancun North First Street 2,100190 Beijing, PR China Tel: +86-010-82449177-888

DownLoad: Full-Size Img PowerPoint

Return