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

using model chemistry: PBEPBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A2
Energy calculated at PBEPBE/6-31+G**
 hartrees
Energy at 0K-209.262517
Energy at 298.15K-209.266898
HF Energy-209.262517
Nuclear repulsion energy149.820613
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 PBEPBE/6-31+G**
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 3200 3163 2.13      
2 A1 3148 3113 1.26      
3 A1 1521 1504 1.76      
4 A1 1404 1388 24.92      
5 A1 1173 1160 3.57      
6 A1 1065 1053 41.67      
7 A1 1025 1013 0.19      
8 A1 848 838 8.13      
9 A2 862 852 0.00      
10 A2 777 768 0.00      
11 A2 452 446 0.00      
12 B1 807 798 0.11      
13 B1 680 673 73.89      
14 B1 516 510 21.17      
15 B2 3180 3144 5.65      
16 B2 3145 3109 17.41      
17 B2 1318 1303 45.78      
18 B2 1254 1239 0.11      
19 B2 1067 1055 6.59      
20 B2 914 903 0.11      
21 B2 663 655 2.36      

Unscaled Zero Point Vibrational Energy (zpe) 14509.0 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 14343.6 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 PBEPBE/6-31+G**
ABC
0.32870 0.28961 0.15396

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.259
C2 0.000 1.069 0.425
C3 0.000 -1.069 0.425
C4 0.000 0.687 -0.990
C5 0.000 -0.687 -0.990
H6 0.000 2.087 0.824
H7 0.000 -2.087 0.824
H8 0.000 1.365 -1.843
H9 0.000 -1.365 -1.843

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.35591.35592.35162.35162.13242.13243.38933.3893
C21.35592.13791.46562.25491.09393.18152.28733.3271
C31.35592.13792.25491.46563.18151.09393.32712.2873
C42.35161.46562.25491.37362.29173.31461.09002.2225
C52.35162.25491.46561.37363.31462.29172.22251.0900
H62.13241.09393.18152.29173.31464.17502.76294.3629
H72.13243.18151.09393.31462.29174.17504.36292.7629
H83.38932.28733.32711.09002.22252.76294.36292.7309
H93.38933.32712.28732.22251.09004.36292.76292.7309

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 112.853 N1 C2 H6 120.646
N1 C3 C5 112.853 N1 C3 H7 120.646
C2 N1 C3 104.067 C2 C4 C5 105.113
C2 C4 H8 126.384 C3 C5 C4 105.113
C3 C5 H9 126.384 C4 C2 H6 126.501
C4 C5 H9 128.503 C5 C3 H7 126.501
C5 C4 H8 128.503
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.160      
2 C -0.182      
3 C -0.182      
4 C -0.046      
5 C -0.046      
6 H 0.154      
7 H 0.154      
8 H 0.154      
9 H 0.154      


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 -2.145 2.145
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.810 0.000 0.000
y 0.000 -23.531 0.000
z 0.000 0.000 -32.447
Traceless
 xyz
x -3.821 0.000 0.000
y 0.000 8.598 0.000
z 0.000 0.000 -4.776
Polar
3z2-r2-9.553
x2-y2-8.279
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.744 0.000 0.000
y 0.000 9.193 0.000
z 0.000 0.000 8.400


<r2> (average value of r2) Å2
<r2> 83.269
(<r2>)1/2 9.125