|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Pyrrole
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Nitrogen |
|
|
|
Nuclear
Quadrupole Coupling Constants |
|
|
|
in
Pyrrole |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Nitrogen nqcc's in pyrrole have
been
reported by a number of investigators [1-4]. A substitution
structure was first determined by Bak et al. [5], later completed and
extended by Nygaard et al. [4]. A semi-experimental equilibrium structure reSE was derived by Császár et al.Császár [6].
|
|
|
|
|
|
|
|
|
|
|
|
|
Calculation of the nqcc's was
made here on the rs structure of Nygaard et al., on the reSE structure, and on a ropt structure given
by B3LYP/cc-pVTZ optimization. These calculated nqcc's are
compared
with the experimental nqcc's of Bohn et al. [1] in Table 1, and those of Nygaard et al. in Table 2.
Structure parameters are compared in Table 3.
|
|
|
|
|
|
|
|
|
|
|
|
|
In Tables 1 and 2, RMS is the root mean
square difference between calculated and experimental nqcc's
(percentage of the average of the magnitudes of the experimental
nqcc's). RSD is the calibration residual standard deviation of
the B3PW91/6-311+G(df,pd) model for calculation of nitrogen efg's/nqcc's. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table 1. 14N nqcc's in
Pyrrole (MHz). Calculation was made on rs, reSE, and ropt structures.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Calc /rs |
|
Calc /reSE |
|
Calc /ropt |
|
Expt. [1] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Xaa |
|
1.414 |
|
1.464
|
|
1.470
|
|
1.412(3) |
|
|
Xbb |
|
1.214 |
|
1.216
|
|
1.223
|
|
1.292(4) |
|
|
Xcc |
- |
2.628 |
-
|
2.680
|
-
|
2.693
|
- |
2.704(4) |
|
|
|
|
|
|
|
|
|
|
|
|
|
RMS |
|
0.063 (3.5 %) |
|
0.055 (3.0 %)
|
|
0.052 (2.9 %)
|
|
|
|
|
RSD |
|
0.030 (1.3 %) |
|
0.030 (1.3 %) |
|
0.030 (1.3 %) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table 2. 14N nqcc's in
Pyrrole (MHz). Calculation was made on rs, reSE, and ropt structures. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Calc /rs |
|
Calc /reSE |
|
Calc /ropt |
|
Expt. [4] |
|
|
|
|
|
|
|
|
|
|
|
|
|
Xaa |
|
1.414 |
|
1.464 |
|
1.470
|
|
1.45(2) |
|
|
Xbb |
|
1.214 |
|
1.216 |
|
1.223
|
|
1.21(2) |
|
|
Xcc |
- |
2.628 |
-
|
2.680 |
-
|
2.693
|
- |
2.66(2) |
|
|
|
|
|
|
|
|
|
|
|
|
|
RMS |
|
0.028 (1.6 %) |
|
0.014 (0.8 %) |
|
0.024 (1.3 %)
|
|
|
|
|
RSD |
|
0.030 (1.3 %) |
|
0.030 (1.3 %) |
|
0.030 (1.3 %) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table 3. Molecular structure
parameters, rs [4], reSE [6], and ropt (Ĺ and degrees). |
|
|
|
|
|
|
|
rs
| reSE |
ropt |
|
|
|
|
|
|
N(1)H |
0.996 | 1.00086(14)
|
1.0033
|
|
N(1)C(2) |
1.370 | 1.36940((17)
|
1.3707
|
|
C(2)C(3) |
1.382 | 1.3723(2)
|
1.3734
|
|
C(3)C(4) |
1.417 | 1.4231(4)
|
1.4210
|
|
C(2)H(2) |
1.076 | 1.07532(13)
|
1.0756
|
|
C(3)H(3) |
1.077 | 1.07527(16)
|
1.0765
|
|
C(5)N(1)C(2) |
109.8 | 109.809(16)
|
109.82
|
|
N(1)C(2)C(3) |
107.7 | 107.762(15)
|
107.67
|
|
C(2)C(3)C(4) |
107.4 | 107.334(12)
|
107.42
|
|
N(1)C(2)H(2) |
121.5 | 120.99(7)
|
121.29
|
|
C(4)C(3)H(3) |
127.1 | 126.73(5)
|
126.86
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
[1] R.K.Bohn, K.W.Hillig II, and
R.Kuczkowski, J.Phys.Chem. 93,3456(1989). |
|
|
[2] K.Bolton and R.D.Brown,
Aust.J.Phys. 27,143(1974). |
|
|
[3] L.Gaines and G.R.Tomasevich,
Symposium on Molecular Structure and Spectroscopy, Ohio,1973. Xaa = 1.4057(11) and Xbb = 1.2945(10) MHz.
|
|
|
[4] L.Nygaard, J.T.Nielsen,
J.Kirchheiner, G.Maltesen, J.Rastrup-Andersen, and G.O.Sřrensen,
J.Mol.Struct. 3,491(1969).
|
|
|
[5] B.Bak, D.Christensen, L.Hansen,
and J.Rastrup-Andersen, J.Chem. Phys. 24,720(1956). |
|
|
[6] A.G.Császár, J.Demaison, and H.D.Rudolph, J.Phys.Chem. A, 119(9),1731(2015).
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
N-Methyl-Pyrrole
|
Imidazole |
Pyrazole |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Table of Contents |
|
|
|
|
|
Molecules/Nitrogen |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Pyrrole.html |
|
|
|
|
|
|
Last
Modified 27 Oct 2014 |
|
|
|
|
|
|
|
|
|
|