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

using model chemistry: HSEh1PBE/TZVP

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/TZVP
 hartrees
Energy at 0K-209.345835
Energy at 298.15K-209.350379
HF Energy-209.345835
Nuclear repulsion energy151.513751
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/TZVP
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 3274 3144 0.67      
2 A1 3227 3098 0.73      
3 A1 1582 1518 1.06      
4 A1 1458 1400 24.42      
5 A1 1218 1170 3.63      
6 A1 1102 1058 44.19      
7 A1 1056 1014 0.02      
8 A1 888 853 9.61      
9 A2 893 858 0.00      
10 A2 812 780 0.00      
11 A2 481 462 0.00      
12 B1 834 800 0.40      
13 B1 717 688 72.17      
14 B1 543 522 21.51      
15 B2 3255 3125 3.61      
16 B2 3223 3094 15.23      
17 B2 1367 1312 55.08      
18 B2 1301 1249 0.04      
19 B2 1094 1050 5.79      
20 B2 947 910 0.02      
21 B2 684 657 5.96      

Unscaled Zero Point Vibrational Energy (zpe) 14977.2 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 14379.6 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 HSEh1PBE/TZVP
ABC
0.33590 0.29634 0.15744

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.241
C2 0.000 1.058 0.423
C3 0.000 -1.058 0.423
C4 0.000 0.678 -0.979
C5 0.000 -0.678 -0.979
H6 0.000 2.067 0.818
H7 0.000 -2.067 0.818
H8 0.000 1.349 -1.825
H9 0.000 -1.349 -1.825

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.33751.33752.32152.32152.11012.11013.34953.3495
C21.33752.11681.45352.23181.08333.15052.26683.2941
C31.33752.11682.23181.45353.15051.08333.29412.2668
C42.32151.45352.23181.35512.27203.28091.07982.1961
C52.32152.23181.45351.35513.28092.27202.19611.0798
H62.11011.08333.15052.27203.28094.13452.73854.3194
H72.11013.15051.08333.28092.27204.13454.31942.7385
H83.34952.26683.29411.07982.19612.73854.31942.6988
H93.34953.29412.26682.19611.07984.31942.73852.6988

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 112.497 N1 C2 H6 120.943
N1 C3 C5 112.497 N1 C3 H7 120.943
C2 N1 C3 104.623 C2 C4 C5 105.191
C2 C4 H8 126.330 C3 C5 C4 105.191
C3 C5 H9 126.330 C4 C2 H6 126.560
C4 C5 H9 128.479 C5 C3 H7 126.560
C5 C4 H8 128.479
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.103      
2 C -0.104      
3 C -0.104      
4 C -0.119      
5 C -0.119      
6 H 0.129      
7 H 0.129      
8 H 0.145      
9 H 0.145      


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 -2.118 2.118
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.367 0.000 0.000
y 0.000 -23.143 0.000
z 0.000 0.000 -31.968
Traceless
 xyz
x -3.811 0.000 0.000
y 0.000 8.524 0.000
z 0.000 0.000 -4.713
Polar
3z2-r2-9.426
x2-y2-8.223
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.229 0.000 0.000
y 0.000 8.705 0.000
z 0.000 0.000 7.491


<r2> (average value of r2) Å2
<r2> 81.583
(<r2>)1/2 9.032