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

using model chemistry: PBEPBE/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-209.261011
Energy at 298.15K-209.265401
HF Energy-209.261011
Nuclear repulsion energy149.649817
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/cc-pVDZ
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 3190 3172 2.18      
2 A1 3129 3111 2.40      
3 A1 1523 1514 0.47      
4 A1 1404 1396 23.51      
5 A1 1172 1165 1.28      
6 A1 1058 1052 35.23      
7 A1 1011 1006 2.30      
8 A1 843 838 11.42      
9 A2 872 867 0.00      
10 A2 779 775 0.00      
11 A2 453 450 0.00      
12 B1 808 803 0.56      
13 B1 685 681 45.43      
14 B1 517 514 18.54      
15 B2 3169 3151 5.12      
16 B2 3126 3108 19.62      
17 B2 1304 1296 44.06      
18 B2 1232 1225 0.07      
19 B2 1059 1053 6.76      
20 B2 904 899 0.30      
21 B2 657 654 1.57      

Unscaled Zero Point Vibrational Energy (zpe) 14447.8 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 14364.0 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/cc-pVDZ
ABC
0.32895 0.28834 0.15365

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.263
C2 0.000 1.067 0.425
C3 0.000 -1.067 0.425
C4 0.000 0.687 -0.991
C5 0.000 -0.687 -0.991
H6 0.000 2.092 0.825
H7 0.000 -2.092 0.825
H8 0.000 1.369 -1.850
H9 0.000 -1.369 -1.850

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.35621.35622.35652.35652.13762.13763.40013.4001
C21.35622.13361.46682.25471.10083.18452.29503.3329
C31.35622.13362.25471.46683.18451.10083.33292.2950
C42.35651.46682.25471.37422.29683.32061.09602.2278
C52.35652.25471.46681.37423.32062.29682.22781.0960
H62.13761.10083.18452.29683.32064.18482.77124.3744
H72.13763.18451.10083.32062.29684.18484.37442.7712
H83.40012.29503.33291.09602.22782.77124.37442.7375
H93.40013.33292.29502.22781.09604.37442.77122.7375

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 113.124 N1 C2 H6 120.570
N1 C3 C5 113.124 N1 C3 H7 120.570
C2 N1 C3 103.746 C2 C4 C5 105.003
C2 C4 H8 126.541 C3 C5 C4 105.003
C3 C5 H9 126.541 C4 C2 H6 126.306
C4 C5 H9 128.456 C5 C3 H7 126.306
C5 C4 H8 128.456
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.192      
2 C 0.108      
3 C 0.108      
4 C -0.011      
5 C -0.011      
6 H 0.010      
7 H 0.010      
8 H -0.011      
9 H -0.011      


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 -1.800 1.800
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.830 0.000 0.000
y 0.000 -23.601 0.000
z 0.000 0.000 -31.197
Traceless
 xyz
x -3.431 0.000 0.000
y 0.000 7.413 0.000
z 0.000 0.000 -3.981
Polar
3z2-r2-7.963
x2-y2-7.229
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.050 0.000 0.000
y 0.000 8.686 0.000
z 0.000 0.000 7.320


<r2> (average value of r2) Å2
<r2> 82.985
(<r2>)1/2 9.110