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

using model chemistry: HSEh1PBE/6-31G*

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/6-31G*
 hartrees
Energy at 0K-209.281359
Energy at 298.15K-209.285906
HF Energy-209.281359
Nuclear repulsion energy151.166205
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/6-31G*
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 3298 3136 1.79      
2 A1 3250 3091 3.10      
3 A1 1601 1523 0.33      
4 A1 1480 1408 25.40      
5 A1 1224 1164 2.68      
6 A1 1113 1058 37.47      
7 A1 1066 1014 0.08      
8 A1 883 840 11.51      
9 A2 912 868 0.00      
10 A2 828 788 0.00      
11 A2 497 472 0.00      
12 B1 840 798 1.21      
13 B1 720 684 56.02      
14 B1 546 520 22.28      
15 B2 3278 3117 6.91      
16 B2 3246 3087 21.87      
17 B2 1380 1312 51.55      
18 B2 1311 1247 0.00      
19 B2 1105 1051 6.36      
20 B2 957 910 0.04      
21 B2 695 661 5.95      

Unscaled Zero Point Vibrational Energy (zpe) 15114.0 cm-1
Scaled (by 0.951) Zero Point Vibrational Energy (zpe) 14373.5 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/6-31G*
ABC
0.33516 0.29436 0.15672

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.247
C2 0.000 1.058 0.423
C3 0.000 -1.058 0.423
C4 0.000 0.680 -0.982
C5 0.000 -0.680 -0.982
H6 0.000 2.070 0.818
H7 0.000 -2.070 0.818
H8 0.000 1.355 -1.828
H9 0.000 -1.355 -1.828

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.34131.34132.33092.33092.11422.11423.36083.3608
C21.34132.11651.45562.23511.08593.15302.27103.3002
C31.34132.11652.23511.45563.15301.08593.30022.2710
C42.33091.45562.23511.35932.27443.28641.08232.2031
C52.33092.23511.45561.35933.28642.27442.20311.0823
H62.11421.08593.15302.27443.28644.14012.74094.3277
H72.11423.15301.08593.28642.27444.14014.32772.7409
H83.36082.27103.30021.08232.20312.74094.32772.7092
H93.36083.30022.27102.20311.08234.32772.74092.7092

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 112.835 N1 C2 H6 120.795
N1 C3 C5 112.835 N1 C3 H7 120.795
C2 N1 C3 104.179 C2 C4 C5 105.076
C2 C4 H8 126.340 C3 C5 C4 105.076
C3 C5 H9 126.340 C4 C2 H6 126.371
C4 C5 H9 128.585 C5 C3 H7 126.371
C5 C4 H8 128.585
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.420      
2 C 0.037      
3 C 0.037      
4 C -0.193      
5 C -0.193      
6 H 0.185      
7 H 0.185      
8 H 0.181      
9 H 0.181      


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 -2.071 2.071
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.646 0.000 0.000
y 0.000 -22.792 0.000
z 0.000 0.000 -31.093
Traceless
 xyz
x -3.704 0.000 0.000
y 0.000 8.078 0.000
z 0.000 0.000 -4.374
Polar
3z2-r2-8.748
x2-y2-7.855
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.652 0.000 0.000
y 0.000 8.101 0.000
z 0.000 0.000 6.750


<r2> (average value of r2) Å2
<r2> 81.462
(<r2>)1/2 9.026