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

using model chemistry: PBE1PBE/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 PBE1PBE/3-21G
 hartrees
Energy at 0K-208.092542
Energy at 298.15K-208.097008
HF Energy-208.092542
Nuclear repulsion energy149.757399
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/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 3319 3188 0.05      
2 A1 3279 3149 3.02      
3 A1 1561 1499 1.09      
4 A1 1384 1330 4.19      
5 A1 1206 1159 0.00      
6 A1 1089 1046 27.17      
7 A1 1040 999 15.02      
8 A1 899 864 12.45      
9 A2 955 917 0.00      
10 A2 824 791 0.00      
11 A2 503 483 0.00      
12 B1 860 826 1.35      
13 B1 741 711 99.01      
14 B1 557 535 25.66      
15 B2 3295 3164 2.11      
16 B2 3272 3143 7.74      
17 B2 1357 1303 46.64      
18 B2 1301 1250 2.70      
19 B2 1025 984 15.36      
20 B2 922 885 0.28      
21 B2 508 488 1.64      

Unscaled Zero Point Vibrational Energy (zpe) 14949.0 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 14357.0 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 PBE1PBE/3-21G
ABC
0.32669 0.29018 0.15368

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.257
C2 0.000 1.080 0.427
C3 0.000 -1.080 0.427
C4 0.000 0.681 -0.990
C5 0.000 -0.681 -0.990
H6 0.000 2.089 0.814
H7 0.000 -2.089 0.814
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
N11.36181.36182.34792.34792.13512.13513.37483.3748
C21.36182.16001.47232.26091.08013.19212.27983.3207
C31.36182.16002.26091.47233.19211.08013.32072.2798
C42.34791.47232.26091.36282.28773.30551.07832.2001
C52.34792.26091.47231.36283.30552.28772.20011.0783
H62.13511.08013.19212.28773.30554.17722.75134.3409
H72.13513.19211.08013.30552.28774.17724.34092.7513
H83.37482.27983.32071.07832.20012.75134.34092.6988
H93.37483.32072.27982.20011.07834.34092.75132.6988

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 111.818 N1 C2 H6 121.515
N1 C3 C5 111.818 N1 C3 H7 121.515
C2 N1 C3 104.949 C2 C4 C5 105.708
C2 C4 H8 126.014 C3 C5 C4 105.708
C3 C5 H9 126.014 C4 C2 H6 126.667
C4 C5 H9 128.279 C5 C3 H7 126.667
C5 C4 H8 128.279
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.513      
2 C 0.042      
3 C 0.042      
4 C -0.266      
5 C -0.266      
6 H 0.249      
7 H 0.249      
8 H 0.231      
9 H 0.231      


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 -2.114 2.114
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.724 0.000 0.000
y 0.000 -22.468 0.000
z 0.000 0.000 -31.507
Traceless
 xyz
x -4.736 0.000 0.000
y 0.000 9.148 0.000
z 0.000 0.000 -4.412
Polar
3z2-r2-8.823
x2-y2-9.256
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.038 0.000 0.000
y 0.000 7.736 0.000
z 0.000 0.000 6.191


<r2> (average value of r2) Å2
<r2> 82.857
(<r2>)1/2 9.103