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All results from a given calculation for C4H4N (pyrrolide radical)

using model chemistry: HSEh1PBE/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A2
Energy calculated at HSEh1PBE/6-311G**
 hartrees
Energy at 0K-209.329516
Energy at 298.15K-209.334089
HF Energy-209.329516
Nuclear repulsion energy151.368081
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at HSEh1PBE/6-311G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3270 3141 1.43      
2 A1 3221 3093 1.46      
3 A1 1582 1520 0.68      
4 A1 1462 1404 25.70      
5 A1 1218 1170 2.87      
6 A1 1101 1057 41.98      
7 A1 1055 1013 0.08      
8 A1 883 848 11.43      
9 A2 921 885 0.00      
10 A2 831 798 0.00      
11 A2 495 475 0.00      
12 B1 847 813 0.74      
13 B1 720 691 68.43      
14 B1 544 523 23.22      
15 B2 3250 3121 5.29      
16 B2 3216 3089 18.23      
17 B2 1365 1311 53.88      
18 B2 1292 1241 0.07      
19 B2 1096 1052 5.30      
20 B2 947 909 0.04      
21 B2 688 660 5.72      

Unscaled Zero Point Vibrational Energy (zpe) 15001.2 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 14407.1 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at HSEh1PBE/6-311G**
ABC
0.33573 0.29536 0.15713

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.244
C2 0.000 1.058 0.424
C3 0.000 -1.058 0.424
C4 0.000 0.678 -0.981
C5 0.000 -0.678 -0.981
H6 0.000 2.068 0.819
H7 0.000 -2.068 0.819
H8 0.000 1.351 -1.827
H9 0.000 -1.351 -1.827

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.33871.33872.32572.32572.11122.11123.35443.3544
C21.33872.11621.45492.23341.08443.15102.26943.2964
C31.33872.11622.23341.45493.15101.08443.29642.2694
C42.32571.45492.23341.35682.27363.28341.08052.1982
C52.32572.23341.45491.35683.28342.27362.19821.0805
H62.11121.08443.15102.27363.28344.13602.74104.3226
H72.11123.15101.08443.28342.27364.13604.32262.7410
H83.35442.26943.29641.08052.19822.74104.32262.7010
H93.35443.29642.26942.19821.08054.32262.74102.7010

picture of pyrrolide radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 C4 112.648 N1 C2 H6 120.862
N1 C3 C5 112.648 N1 C3 H7 120.862
C2 N1 C3 104.445 C2 C4 C5 105.130
C2 C4 H8 126.403 C3 C5 C4 105.130
C3 C5 H9 126.403 C4 C2 H6 126.490
C4 C5 H9 128.467 C5 C3 H7 126.490
C5 C4 H8 128.467
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.313      
2 C 0.077      
3 C 0.077      
4 C -0.162      
5 C -0.162      
6 H 0.125      
7 H 0.125      
8 H 0.116      
9 H 0.116      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -2.023 2.023
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.132 0.000 0.000
y 0.000 -23.019 0.000
z 0.000 0.000 -31.513
Traceless
 xyz
x -3.866 0.000 0.000
y 0.000 8.304 0.000
z 0.000 0.000 -4.437
Polar
3z2-r2-8.875
x2-y2-8.113
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.380 0.000 0.000
y 0.000 8.444 0.000
z 0.000 0.000 7.085


<r2> (average value of r2) Å2
<r2> 81.535
(<r2>)1/2 9.030