The Effects of Isotopic Dilution on the Infrared Spectrum of Solid Sodium Formate

1979 ◽  
Vol 32 (3) ◽  
pp. 481 ◽  
Author(s):  
E Spinner ◽  
JE Rowe

Infrared spectra (4000-200 cm-1; KBr discs) have been obtained for ten isotopic species of solid sodium formate in bulk (isotopic purities ranging from 80% to 99%) and after isotopic dilution. In probably the most systematic and comprehensive study of its kind to date on a polyatomic solid, a large number of solid solutions, such as H12C16O2Na in D13C18O2Na and vice versa, D12C16O2Na in D13C18O2Na and vice versa, etc., have been examined (solute concentration usually in the range from 15% to 1 %). The CH and CD out-of-plane and in-plane bending frequencies are raised somewhat on isotopic dilution, the CH and CD stretching, OCO scissoring and lower CO stretching frequencies are lowered a little. For the latter two vibrations the frequency of the solid solute is affected by that of the solid solvent only very slightly (by 0.5 cm-1 to 1.0 cm-1), but in a very regular and systematic manner. For the higher carboxylate stretching frequency, by contrast, the effect of isotopic dilution is much more varied. The solute frequency is raised (e.g. by 3.5 cm-1 for H12C16O2Na in D13C18O2Na), or lowered (e.g. by 6.5 cm-1 for D13C18O2Na in H12C16O2Na, 18 cm-1 for H13C16O2Na in H12C16O2Na, 22 cm-1 for H13C16O2Na in D13C18O2Na), depending on whether the intrinsic solute frequency is higher or lower than that of the solvent, and by an amount determined by the separation between the two. Thus, for this vibration strong coupling between solute anion and solvent anions is still conspicuous after isotopic dilution, and the 'solute' spectra observed are those of a cluster of solute anion surrounded by solvent anions; they do not usually approximate to the spectra of individual isolated solute ions. Some combination frequencies show much lower anharmonicity corrections after isotopic dilution than in bulk. With isotopically mixed crystals transfer of absorption intensity is observed, to the bands at lower frequencies for CH and CD in- and out-of-plane bending, and to those at higher frequencies for OCO scissoring and both CO stretching vibrations. For larger crystals and solid films, an instance was found of a large intensity transfer to higher frequencies, additional to the (small) one seen with KBr discs. A satisfactory explanation in terms of the crystal structure is at present available only for the out- of-plane bending results.

1966 ◽  
Vol 1 (3) ◽  
pp. 248-263 ◽  
Author(s):  
N Jones ◽  
R Kitching

It is well known that, upon the application of an in-plane bending moment, the initially circular cross-section of a curved pipe tends to flatten and become approximately elliptical in shape making it much more flexible than an equivalent straight tube. Mitred-bends exhibit similar properties though the behaviour is far more complex. A comprehensive study of a 90° single unreinforced mitred-bend having a radius/thickness ratio of 19 has been performed by means of a stress-probing method. In order to make the work more complete, results have been obtained for a similar bend when subjected to out-of-plane bending and twisting moments. Experimental measurements of stress and flexibility for each type of loading are discussed and certain modifications suggested to existing design procedures.


2010 ◽  
Vol 132 (3) ◽  
Author(s):  
Izumi Nakamura ◽  
Akihito Otani ◽  
Masaki Shiratori

Pressurized piping systems used for an extended period may develop degradations such as wall thinning or cracks due to aging. It is important to estimate the effects of degradation on the dynamic behavior and to ascertain the failure modes and remaining strength of the piping systems with degradation through experiments and analyses to ensure the seismic safety of degraded piping systems under destructive seismic events. In order to investigate the influence of degradation on the dynamic behavior and failure modes of piping systems with local wall thinning, shake table tests using 3D piping system models were conducted. About 50% full circumferential wall thinning at elbows was considered in the test. Three types of models were used in the shake table tests. The difference of the models was the applied bending direction to the thinned-wall elbow. The bending direction considered in the tests was either of the in-plane bending, out-of-plane bending, or mixed bending of the in-plane and out-of-plane. These models were excited under the same input acceleration until failure occurred. Through these tests, the vibration characteristic and failure modes of the piping models with wall thinning under seismic load were obtained. The test results showed that the out-of-plane bending is not significant for a sound elbow, but should be considered for a thinned-wall elbow, because the life of the piping models with wall thinning subjected to out-of-plane bending may reduce significantly.


1963 ◽  
Vol 30 (1) ◽  
pp. 134-135
Author(s):  
E. A. Utecht

Curves are presented which give stress intensification factors for curved, thin-walled circular tubes under various combinations of in-plane and out-of-plane bending moments.


2021 ◽  
Author(s):  
m.r. Karimi ◽  
J. Braun ◽  
E. Gooijer ◽  
P. Barros ◽  
E. Carlberg ◽  
...  

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