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

using model chemistry: HSEh1PBE/3-21G

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/3-21G
 hartrees
Energy at 0K-208.109620
Energy at 298.15K-208.114091
HF Energy-208.109620
Nuclear repulsion energy149.820216
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/3-21G
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 3320 3198 0.08      
2 A1 3279 3159 3.15      
3 A1 1562 1505 1.10      
4 A1 1384 1333 4.24      
5 A1 1207 1163 0.00      
6 A1 1090 1050 27.04      
7 A1 1040 1002 15.33      
8 A1 901 868 12.58      
9 A2 955 920 0.00      
10 A2 822 792 0.00      
11 A2 503 484 0.00      
12 B1 860 828 1.46      
13 B1 740 713 96.96      
14 B1 558 538 25.67      
15 B2 3295 3174 2.26      
16 B2 3272 3152 8.14      
17 B2 1359 1309 46.31      
18 B2 1302 1255 2.87      
19 B2 1025 988 15.56      
20 B2 922 889 0.32      
21 B2 513 494 1.50      

Unscaled Zero Point Vibrational Energy (zpe) 14954.7 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 14405.9 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/3-21G
ABC
0.32688 0.29050 0.15381

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.256
C2 0.000 1.080 0.427
C3 0.000 -1.080 0.427
C4 0.000 0.681 -0.989
C5 0.000 -0.681 -0.989
H6 0.000 2.088 0.813
H7 0.000 -2.088 0.813
H8 0.000 1.349 -1.836
H9 0.000 -1.349 -1.836

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.36111.36112.34642.34642.13462.13463.37313.3731
C21.36112.15951.47182.26011.07983.19132.27903.3195
C31.36112.15952.26011.47183.19131.07983.31952.2790
C42.34641.47182.26011.36232.28683.30441.07792.1993
C52.34642.26011.47181.36233.30442.28682.19931.0779
H62.13461.07983.19132.28683.30444.17632.75034.3393
H72.13463.19131.07983.30442.28684.17634.33932.7503
H83.37312.27903.31951.07792.19932.75034.33932.6975
H93.37313.31952.27902.19931.07794.33932.75032.6975

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 111.791 N1 C2 H6 121.550
N1 C3 C5 111.791 N1 C3 H7 121.550
C2 N1 C3 104.990 C2 C4 C5 105.714
C2 C4 H8 126.017 C3 C5 C4 105.714
C3 C5 H9 126.017 C4 C2 H6 126.660
C4 C5 H9 128.269 C5 C3 H7 126.660
C5 C4 H8 128.269
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.511      
2 C 0.044      
3 C 0.044      
4 C -0.263      
5 C -0.263      
6 H 0.246      
7 H 0.246      
8 H 0.228      
9 H 0.228      


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 -2.109 2.109
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.671 0.000 0.000
y 0.000 -22.491 0.000
z 0.000 0.000 -31.500
Traceless
 xyz
x -4.676 0.000 0.000
y 0.000 9.095 0.000
z 0.000 0.000 -4.419
Polar
3z2-r2-8.838
x2-y2-9.181
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.035 0.000 0.000
y 0.000 7.728 0.000
z 0.000 0.000 6.181


<r2> (average value of r2) Å2
<r2> 82.795
(<r2>)1/2 9.099