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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G**
 hartrees
Energy at 0K-209.263884
Energy at 298.15K-209.268445
HF Energy-209.263884
Nuclear repulsion energy151.162562
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 PBE1PBE/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 3299 3144 1.50      
2 A1 3250 3097 2.80      
3 A1 1602 1527 0.31      
4 A1 1482 1413 25.33      
5 A1 1225 1168 2.65      
6 A1 1113 1061 37.56      
7 A1 1067 1016 0.15      
8 A1 882 841 11.37      
9 A2 912 870 0.00      
10 A2 829 790 0.00      
11 A2 496 473 0.00      
12 B1 840 800 1.16      
13 B1 719 685 57.25      
14 B1 546 520 22.49      
15 B2 3279 3125 6.05      
16 B2 3246 3094 21.02      
17 B2 1380 1316 52.14      
18 B2 1310 1249 0.00      
19 B2 1107 1055 6.20      
20 B2 957 913 0.03      
21 B2 694 662 6.01      

Unscaled Zero Point Vibrational Energy (zpe) 15117.2 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 14408.2 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 PBE1PBE/6-31G**
ABC
0.33522 0.29429 0.15671

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.248
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
N11.34131.34132.33132.33132.11412.11413.36123.3612
C21.34132.11601.45562.23501.08613.15272.27113.3003
C31.34132.11602.23501.45563.15271.08613.30032.2711
C42.33131.45562.23501.35932.27453.28651.08252.2035
C52.33132.23501.45561.35933.28652.27452.20351.0825
H62.11411.08613.15272.27453.28654.13992.74114.3280
H72.11413.15271.08613.28652.27454.13994.32802.7411
H83.36122.27113.30031.08252.20352.74114.32802.7098
H93.36123.30032.27112.20351.08254.32802.74112.7098

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 112.863 N1 C2 H6 120.773
N1 C3 C5 112.863 N1 C3 H7 120.773
C2 N1 C3 104.145 C2 C4 C5 105.065
C2 C4 H8 126.342 C3 C5 C4 105.065
C3 C5 H9 126.342 C4 C2 H6 126.364
C4 C5 H9 128.593 C5 C3 H7 126.364
C5 C4 H8 128.593
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.421      
2 C 0.036      
3 C 0.036      
4 C -0.198      
5 C -0.198      
6 H 0.188      
7 H 0.188      
8 H 0.184      
9 H 0.184      


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 -2.072 2.072
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.675 0.000 0.000
y 0.000 -22.764 0.000
z 0.000 0.000 -31.081
Traceless
 xyz
x -3.753 0.000 0.000
y 0.000 8.114 0.000
z 0.000 0.000 -4.361
Polar
3z2-r2-8.723
x2-y2-7.911
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.655 0.000 0.000
y 0.000 8.092 0.000
z 0.000 0.000 6.744


<r2> (average value of r2) Å2
<r2> 81.464
(<r2>)1/2 9.026