The allyl radical has been observed in a low-pressure premixed gasoline/oxygen/argon flame by using tunable vacuum ultraviolet photoionization mass spectrometry, The ionization potential of the allyl radical is derive...The allyl radical has been observed in a low-pressure premixed gasoline/oxygen/argon flame by using tunable vacuum ultraviolet photoionization mass spectrometry, The ionization potential of the allyl radical is derived to be （8.13 ±0.02） eV from photoionization efficiency curve, In addition, a high level ab initzo Gaussian-3 （G3） method was used to calculate the energies of tile radical and its cation. The calculated adiabatic ionization potential is 8.18 eV, which is in excellent agreement with the experimental value. The result is helpful for identifying the allyl radical formed from other flames and for understanding the mechanism of soot formation.展开更多
In this paper, we introduce the notion of bounded Betti numbers, and show that the bounded Betti numbers of a closed Riemannian n-manifold （M, g） with Ric （M） ≥ -（n - 1） and Diam （M） ≤D are bounded by a numb...In this paper, we introduce the notion of bounded Betti numbers, and show that the bounded Betti numbers of a closed Riemannian n-manifold （M, g） with Ric （M） ≥ -（n - 1） and Diam （M） ≤D are bounded by a number depending on D and n. We also show that there are only finitely many isometric isomorphism types of bounded cohomology groups （H（M）,Ⅱ·Ⅱ∞） among closed Riemannian manifold （M, g） with K（M） ≥ -1 and Diam （M） ≤ D.展开更多
基金This work Was supported by the Knowledge Innovation funding of CAS and the Natural Science Foundation of China（NSFC No.20473081）.
文摘The allyl radical has been observed in a low-pressure premixed gasoline/oxygen/argon flame by using tunable vacuum ultraviolet photoionization mass spectrometry, The ionization potential of the allyl radical is derived to be （8.13 ±0.02） eV from photoionization efficiency curve, In addition, a high level ab initzo Gaussian-3 （G3） method was used to calculate the energies of tile radical and its cation. The calculated adiabatic ionization potential is 8.18 eV, which is in excellent agreement with the experimental value. The result is helpful for identifying the allyl radical formed from other flames and for understanding the mechanism of soot formation.
文摘In this paper, we introduce the notion of bounded Betti numbers, and show that the bounded Betti numbers of a closed Riemannian n-manifold （M, g） with Ric （M） ≥ -（n - 1） and Diam （M） ≤D are bounded by a number depending on D and n. We also show that there are only finitely many isometric isomorphism types of bounded cohomology groups （H（M）,Ⅱ·Ⅱ∞） among closed Riemannian manifold （M, g） with K（M） ≥ -1 and Diam （M） ≤ D.
