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

using model chemistry: PBEPBEultrafine/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A2
Energy calculated at PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-209.320909
Energy at 298.15K-209.325322
HF Energy-209.320909
Nuclear repulsion energy150.420782
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 PBEPBEultrafine/aug-cc-pVTZ
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 3176 3141 2.05      
2 A1 3124 3089 0.95      
3 A1 1513 1496 1.52      
4 A1 1391 1375 22.95      
5 A1 1172 1159 2.14      
6 A1 1059 1047 40.18      
7 A1 1019 1008 0.01      
8 A1 848 839 10.24      
9 A2 883 873 0.00      
10 A2 784 775 0.00      
11 A2 457 451 0.00      
12 B1 816 807 0.29      
13 B1 685 678 64.34      
14 B1 516 510 19.84      
15 B2 3156 3121 5.20      
16 B2 3120 3085 16.71      
17 B2 1312 1298 42.71      
18 B2 1247 1233 0.00      
19 B2 1059 1047 5.85      
20 B2 909 898 0.09      
21 B2 655 647 2.30      

Unscaled Zero Point Vibrational Energy (zpe) 14449.5 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 14287.7 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.33102 0.29223 0.15521

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.253
C2 0.000 1.066 0.424
C3 0.000 -1.066 0.424
C4 0.000 0.683 -0.985
C5 0.000 -0.683 -0.985
H6 0.000 2.082 0.821
H7 0.000 -2.082 0.821
H8 0.000 1.358 -1.837
H9 0.000 -1.358 -1.837

Atom - Atom Distances (Å)
  N1 C2 C3 C4 C5 H6 H7 H8 H9
N11.35031.35032.34002.34002.12602.12603.37473.3747
C21.35032.13201.46042.24631.09043.17262.27943.3146
C31.35032.13202.24631.46043.17261.09043.31462.2794
C42.34001.46042.24631.36632.28433.30251.08642.2116
C52.34002.24631.46041.36633.30252.28432.21161.0864
H62.12601.09043.17262.28433.30254.16342.75424.3467
H72.12603.17261.09043.30252.28434.16344.34672.7542
H83.37472.27943.31461.08642.21162.75424.34672.7160
H93.37473.31462.27942.21161.08644.34672.75422.7160

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 112.663 N1 C2 H6 120.799
N1 C3 C5 112.663 N1 C3 H7 120.799
C2 N1 C3 104.276 C2 C4 C5 105.198
C2 C4 H8 126.397 C3 C5 C4 105.198
C3 C5 H9 126.397 C4 C2 H6 126.538
C4 C5 H9 128.405 C5 C3 H7 126.538
C5 C4 H8 128.405
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.273      
2 C -0.453      
3 C -0.453      
4 C -0.370      
5 C -0.370      
6 H 0.574      
7 H 0.574      
8 H 0.385      
9 H 0.385      


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 -2.044 2.044
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.521 0.000 0.000
y 0.000 -23.672 0.000
z 0.000 0.000 -32.269
Traceless
 xyz
x -3.550 0.000 0.000
y 0.000 8.223 0.000
z 0.000 0.000 -4.673
Polar
3z2-r2-9.346
x2-y2-7.849
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.274 0.000 0.000
y 0.000 9.482 0.000
z 0.000 0.000 8.753


<r2> (average value of r2) Å2
<r2> 82.689
(<r2>)1/2 9.093