Structural Chemistry

, Volume 29, Issue 2, pp 513–521 | Cite as

Quantitative relationships between bond lengths, stretching vibrational frequencies, bond force constants, and bond orders in the hydrogen-bonded complexes involving hydrogen halides

  • Fan Yang
  • Rui-Zhi Wu
  • Chao-Xian Yan
  • Xing Yang
  • Da-Gang Zhou
  • Pan-Pan Zhou
Original Research
First Online:
Received:
Accepted:

Abstract

To uncover the correlation between the bond length change and the corresponding stretching frequency shift of the proton donor D–H upon hydrogen bond formation, a series of hydrogen-bonded complexes involving HF and HCl which exhibit the characteristics of red-shifted hydrogen bond were investigated at the MP2/aug-cc-pVTZ, M062X/aug-cc-pVTZ, and B3LYP/aug-cc-pVTZ(GD3) levels of theory with CP optimizations. A statistical analysis of these complexes leads to the quantitative illustrations of the relations between bond length and stretching vibrational frequency, between bond length and bond force constant, between stretching vibrational frequency and bond force constant, between bond length and bond order for hydrohalides in a mathematical way, which would provide valuable insights into the explanation of the geometrical and spectroscopic behaviors during hydrogen bond formation.

Keywords

Hydrogen bond Bond length Stretching vibrational frequency Bond force constant Bond order 
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Notes

Funding information

The work was financially supported by the National Natural Science Foundation of China (Grant No. 21403097) and the Fundamental Research Funds for the Central Universities (lzujbky-2016-45).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Supplementary material

11224_2017_1048_MOESM1_ESM.docx (109 kb)
ESM 1 (DOCX 109 kb)

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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.Key Laboratory of Nonferrous Metal Chemistry and Resources Utilization of Gansu Province, State Key Laboratory of Applied Organic Chemistry, College of Chemistry and Chemical EngineeringLanzhou UniversityLanzhouPeople’s Republic of China

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