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Frontiers of Chemistry in China

ISSN 1673-3495

ISSN 1673-3614(Online)

CN 11-5726/O6

Front Chem Chin    0, Vol. Issue () : 91-97    https://doi.org/10.1007/s11458-011-0223-z
RESEARCH ARTICLE
Computational evaluation concerning the deviation of the atoms in 1- and 4-postions on the six-member ring and the effects on 1HNMR chemical shift
Asadollah FARHADI1(), Mohammad Ali TAKASSI1, Hamid Reza MEMARIAN2, Mousa SOLEYMANI
1. Faculty of Science, University of Petroleum Technology, Ahwaz 61981-44471, Iran; 2. Department of Chemistry, Faculty of Science, University of Isfahan, Isfahan 81746-73441, Iran
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Abstract

Density functional theory (DFT) calculations were carried out on some cyclohexane derivatives to investigate the deviation atoms on the 1- and 4-positions of chair plane. The deviations of chair plane of two position in the cyclohexane derivatives were calculated at the B3LYP/6–31++ G(d, p) level. Furthermore, we investigated the correlation between deviations of two positions from chair plane on the chemical shift hydrogen atoms on the 4-position.

Keywords cyclohexane      heterocyclohexane      deviation      B3LYP/6–31++G(d, p)      chemical shift     
Corresponding Author(s): FARHADI Asadollah,Email:farhadichem@yahoo.com   
Issue Date: 05 June 2011
 Cite this article:   
Asadollah FARHADI,Mohammad Ali TAKASSI,Hamid Reza MEMARIAN, et al. Computational evaluation concerning the deviation of the atoms in 1- and 4-postions on the six-member ring and the effects on 1HNMR chemical shift[J]. Front Chem Chin, 0, (): 91-97.
 URL:  
https://academic.hep.com.cn/fcc/EN/10.1007/s11458-011-0223-z
https://academic.hep.com.cn/fcc/EN/Y0/V/I/91
Fig.1  General structure of the cyclohexane and heterocyclohexane and those derivatives conformation and the numbering scheme used in this work.
Comp.C1-C2C2-C3C3-C4
a1.53751.53731.5374
b1.54611.53861.5376
c1.54051.53751.5367
d1.55081.53831.5364
e1.54941.54941.5454
f1.53571.53701.5379
g1.53921.53691.5376
h1.54091.53711.5374
i1.53301.53781.5371
j1.53571.53561.5381
Tab.1  Selected optimized geometrical parameter obtained for cylohexanes and heterocyclohexnes at B3LYP/6-31++ G(d,p) level of theory (bond lengths are given in ?). See Fig. 1 for numbering scheme.
Comp.X1-C2C2-C3C3-C4
k1.42701.53061.5372
l1.42761.52321.5381
m1.42071.53021.5379
n1.46761.53961.5377
o1.46461.53821.5383
p1.46321.54441.5407
q1.83741.53201.5379
r1.84521.53281.5393
s1.83441.53421.5404
Tab.2  The same as Table 1, but for heterocyclohexanes
Fig.2  General geometry defining deviations of the C, C and X atoms from the chair plane (C-C-C-C) in the cyclohexane, heterocyclohexane and their derivatives.
Fig.3  a) The trigonometric frame used for the calculation of the deviation of C atom (the height ) from the C-C-C-C plane, Fig. 2. b) A closer view of the triangle defining the height of C atom () from the C-C-C-C plane as described in part (a).
Comp.hC1(C1)/?hC4(C4)/?
a0.64980.6531
b0.65240.6497
c0.66160.6574
d0.65120.6575
e0.61570.6476
f0.65290.6660
g0.65030.6626
h0.64220.6626
i0.64770.6620
j0.60370.6492
Tab.3  Calculation based on the geometries given in Fig. 2 and 3 by using relations (1)-(13) for the (C) and (C) (?) from chair plane (C-C-C-C) for cyclohexanes.
Comp.hX(X1)/?hC(C4)/?
k0.64060.6497
l0.64610.6351
m0.62610.6498
n0.58980.6497
o0.59580.6299
p0.61220.6517
q0.90130.6767
r0.92540.6569
s0.90980.6569
Tab.4  The same as Table 3, but for heterocyclohexanes.
Fig.4  Correlation between deviations of the C, C and X atoms from the chair ring plane and the type and position of the substituent on the ring for a) cyclohexanes and b) heterocyclohexanes
Comp.δ (C1 Hax)/ppmδ (C1 Heq)/ppmδ (C4 Hax)/ppmδ (C4 Heq)/ppm
a1.121.601.121.60
b-1.931.061.58
c1.27-1.061.58
d--1.001.56
e-1.671.311.38
f-3.891.141.52
g-3.431.121.60
h-3.151.121.60
i-3.891.141.52
j-3.621.371.50
Tab.5  Chemical shift () of HNMR analysis of the axial and equatorial hydrogen (denoted with H and H respectively) atoms on the 1- and 4-positions that are calculated for cyclohexane and heterocyclohexane using Chem 3D. Ultra 8 method. See Fig. 1 for sign scheme.
Comp.δ (C4 Hax)/ppmδ (C4 Heq)/ppm
k1.601.60
l1.551.65
m1.631.88
n1.501.50
r1.651.75
s1.842.09
o1.451.55
p1.601.85
q1.701.70
Tab.6  The same as Table 5, but for heterocyclohexanes.
Comp.δ (C1-Hax)/ppmδ (C1-Heq)/ppmδ (C4-Hax)/ppmδ (C4-Heq)/ppm
a1.11.61.11.6
b-1.931.041.58
c1.26-1.041.58
d1.361.48--
f-3.891.121.52
g-3.431.11.6
h-3.15--
k--1.61.6
n--1.51.5
q--1.7 (average)1.7 (average)
Tab.7  Observed proton chemical shifts of some of cyclohexanes and analogs [,]
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