Isoelectronic series: a fundamental periodic property

2008 ◽  
Vol 11 (2) ◽  
pp. 123-129 ◽  
Author(s):  
Geoff Rayner-Canham
1988 ◽  
Vol 66 (2) ◽  
pp. 341-347 ◽  
Author(s):  
Suzanne Deguire ◽  
François Brisse

The crystal structures of 1,4-dibenzoylbutane, 2DBC, and ethyleneglycol dithiobenzoate, 2DBS, have been solved by direct methods in order to follow the evolution of the geometry and the conformation of the Y—CH2—CH2—Y sequence in the isoelectronic series of C6H5—CO—Y—CH2—CH2—Y—CO—C6H5 where Y = CH2, NH, O, and S. 2DBC is monoclinic, a = 7.750(4), b = 21.287(6), c = 8.905(2) Å, β = 100.55(3)°, Z = 4. 2DBS is also monoclinic, with a = 5.702(3), b = 16.171(15), c = 8.001(4) Å, β = 98.79(4)°, and Z = 2. Both compounds belong to the P21/n space group. The weighted least-squares refinements converged to Rw = 0.049 (2DBC) and 0.043 (2DBS). The conformation of the methylenic sequence is all-trans (2DBC) and g+tg− for 2DBS (t = trans, g = gauche). The ir spectra have absorptions at 1467, 1308, and 931 cm−1 (2DBC) and at 1408, 1239, and 727 cm−1 (2DBS), respectively, characteristic of the trans conformation of the Y—CH2—CH2—Y sequence. The 13C CP/MAS solid-state nmr spectra of these and other related compounds have been recorded. It is, in turn, possible to propose that the τ torsion angle between the amide group and the methylenic sequence, has a value of 85° in the aromatic polyamide, Nylon 2T.


1986 ◽  
Vol 106 (1) ◽  
pp. 27-38 ◽  
Author(s):  
Andrzej M. Oleś ◽  
Frank Pfirsch ◽  
Werner Borrmann ◽  
Peter Fulde ◽  
Michael C. Böhm

1987 ◽  
Vol 65 (12) ◽  
pp. 2707-2712 ◽  
Author(s):  
Roderick E. Wasylishen ◽  
Neil Burford

Deuterium isotope effects on the 31P shielding constants and spin–spin coupling constants in the isoelectronic series, PH2−, PH3, PH4+, are examined. Also, deuterium isotope effects on the nuclear magnetic resonance parameters of SnH3− are examined and compared with our earlier results on SnH4 and SnH3+. The experimental results are analyzed using the models of Jameson and Osten. In each isoelectronic series it is found that the isotope effects on the heavy atom chemical shifts are largest for the negatively charged ions and essentially zero for the positively charged ions, as predicted by recent molecular orbital calculations. The primary isotope effects on J(A,H) are positive for all species containing lone-pair electrons, otherwise Δp1J(A,H) is negative. The primary and secondary isotope effects on J(Sn,H) in the SnH3− ion are the largest reported to date.


2020 ◽  
pp. 397-402
Author(s):  
Francisco Torrens ◽  
Gloria Castellano
Keyword(s):  

2020 ◽  
Vol 19 (Vol 19, No 3 (2020)) ◽  
pp. 535-557
Author(s):  
Yuri POZDNYAKOV ◽  
Maria LAPISHKO

Main methodological principles of mathematically describing the patterns of changes in the asset’s value/depreciation dynamics are studied in cases when economic measurements are performed by independent expert evaluation. The basic hypothesis suggests that for all tangible assets, which are characterized by redeemable depreciation, there is a possibility of negative periodic depreciation during short-term service periods when remedial and repair work to eliminate depreciation signs is carried out. The most influential price-forming factors that determine the asset’s depreciation indexes and indicators of value dynamics over long periods are identified and analysed. It is shown that when this period is comparable to the asset’s service life, most of tangible assets are characterized by both positive and negative periodic depreciation indexes at separate times. It is noted that the models used in accounting documents do not describe the actual changes in the value dynamics, and amortization in particular, since they do not take into account the possibility of increasing asset value and periodic negative depreciation. A new kind of mathematical model is proposed that takes into account the opposite signs of periodic depreciation in the operation and service periods. It is proved that the actual indicators of fair market value and periodic depreciation indexes of these types of assets can be determined by performing periodic independent expert evaluation (revaluation).


1972 ◽  
Vol 50 (17) ◽  
pp. 2887-2890
Author(s):  
J. E. Brown ◽  
D. P. Chong

The kind of cusp-satisfying orbitals used earlier for the lithium atom is tested on the helium isoelectronic series and the hydrogen molecule. Excellent values are obtained for the electron density at the nucleus, Qe(0), for the atoms. The results for various wavefunctions for the hydrogen molecule are not as systematic, but are still quite reasonable.


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