2015
DOI: 10.1016/j.saa.2015.07.021
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Factors affecting the relation between stretching frequencies and bond lengths. Diatomic and polyatomic species without adjustable fitting parameters

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Cited by 7 publications
(3 citation statements)
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“…Hereupon, the displacements were 1.5 cm –1 from pure Ag 3 PO 4 to 0.5%W and 1.2 cm –1 from the latter to 1%W samples. Based on Badger’s rule improved by Herschbach and Laurie, the bond length and vibrational frequency of a stretching mode has an inversely linear correlation, i.e., the longer the bond length, the lower the vibrational frequency. These results were clearly observed in the experimental Raman spectra of the samples, indicating the introduction of W as a substitutional dopant in the Ag 3 PO 4 structure. According to our theoretical calculations previously described in the XRD section, the introduction of W into the Ag 3 PO 4 structure resulted in longer bond lengths of [PO 4 ] clusters, which corroborates the observed displacement of the A 1 Raman band to lower frequencies.…”
Section: Resultsmentioning
confidence: 87%
“…Hereupon, the displacements were 1.5 cm –1 from pure Ag 3 PO 4 to 0.5%W and 1.2 cm –1 from the latter to 1%W samples. Based on Badger’s rule improved by Herschbach and Laurie, the bond length and vibrational frequency of a stretching mode has an inversely linear correlation, i.e., the longer the bond length, the lower the vibrational frequency. These results were clearly observed in the experimental Raman spectra of the samples, indicating the introduction of W as a substitutional dopant in the Ag 3 PO 4 structure. According to our theoretical calculations previously described in the XRD section, the introduction of W into the Ag 3 PO 4 structure resulted in longer bond lengths of [PO 4 ] clusters, which corroborates the observed displacement of the A 1 Raman band to lower frequencies.…”
Section: Resultsmentioning
confidence: 87%
“…The inverse correlation between bond lengths and stretching frequencies has been established in many polyatomic species, solids containing hydroxyls and adsorbed hydroxyls . For a given kind of bond, the shorter the bond, the stiffer it is and, so, the higher the stretching frequency.…”
Section: Simulationsmentioning
confidence: 99%
“…As shown in table 1, the stretching frequency increasing with gamma doses which affirms the increasing of the bond strength and the decreasing of the bond length. Thus, the stretching frequency increases as the bond length decreases [70]. Figure 13 illustrates the relation between (n 2 ) and (λ 2 ) according to [71].…”
Section: Dispersion Parameters: Oscillator and Dispersion Energiesmentioning
confidence: 97%