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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-209.322329
Energy at 298.15K-209.326883
HF Energy-209.322329
Nuclear repulsion energy151.371823
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 3272 3140 3.17      
2 A1 3227 3097 2.62      
3 A1 1588 1524 0.81      
4 A1 1468 1408 26.39      
5 A1 1221 1172 2.98      
6 A1 1104 1060 41.95      
7 A1 1058 1015 0.05      
8 A1 885 849 11.46      
9 A2 908 871 0.00      
10 A2 825 792 0.00      
11 A2 495 475 0.00      
12 B1 837 804 0.60      
13 B1 714 685 71.85      
14 B1 545 523 23.54      
15 B2 3251 3120 10.98      
16 B2 3222 3092 23.30      
17 B2 1371 1316 54.41      
18 B2 1300 1248 0.05      
19 B2 1099 1054 5.65      
20 B2 949 911 0.04      
21 B2 691 663 5.53      

Unscaled Zero Point Vibrational Energy (zpe) 15015.4 cm-1
Scaled (by 0.9596) Zero Point Vibrational Energy (zpe) 14408.8 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
0.33593 0.29525 0.15714

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 0.423
C3 0.000 -1.058 0.423
C4 0.000 0.678 -0.981
C5 0.000 -0.678 -0.981
H6 0.000 2.067 0.821
H7 0.000 -2.067 0.821
H8 0.000 1.351 -1.828
H9 0.000 -1.351 -1.828

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.33851.33852.32602.32602.11002.11003.35563.3556
C21.33852.11531.45482.23301.08473.14992.27043.2968
C31.33852.11532.23301.45483.14991.08473.29682.2704
C42.32601.45482.23301.35682.27473.28381.08132.1987
C52.32602.23301.45481.35683.28382.27472.19871.0813
H62.11001.08473.14992.27473.28384.13422.74384.3238
H72.11003.14991.08473.28382.27474.13424.32382.7438
H83.35562.27043.29681.08132.19872.74384.32382.7012
H93.35563.29682.27042.19871.08134.32382.74382.7012

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 112.687 N1 C2 H6 120.729
N1 C3 C5 112.687 N1 C3 H7 120.729
C2 N1 C3 104.405 C2 C4 C5 105.111
C2 C4 H8 126.451 C3 C5 C4 105.111
C3 C5 H9 126.451 C4 C2 H6 126.584
C4 C5 H9 128.438 C5 C3 H7 126.584
C5 C4 H8 128.438
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 -0.304      
2 C -0.028      
3 C -0.028      
4 C -0.258      
5 C -0.258      
6 H 0.221      
7 H 0.221      
8 H 0.216      
9 H 0.216      


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 -2.036 2.036
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.285 0.000 0.000
y 0.000 -22.958 0.000
z 0.000 0.000 -31.425
Traceless
 xyz
x -4.094 0.000 0.000
y 0.000 8.398 0.000
z 0.000 0.000 -4.304
Polar
3z2-r2-8.607
x2-y2-8.328
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.302 0.000 0.000
y 0.000 8.375 0.000
z 0.000 0.000 7.040


<r2> (average value of r2) Å2
<r2> 81.536
(<r2>)1/2 9.030