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

using model chemistry: PBEPBE/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 PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-209.317555
Energy at 298.15K-209.321965
HF Energy-209.317555
Nuclear repulsion energy150.427012
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 PBEPBE/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 3179 3157 2.58      
2 A1 3124 3102 1.85      
3 A1 1517 1507 0.77      
4 A1 1394 1384 21.72      
5 A1 1174 1165 1.79      
6 A1 1061 1054 39.93      
7 A1 1021 1014 0.04      
8 A1 850 845 11.96      
9 A2 876 870 0.00      
10 A2 782 776 0.00      
11 A2 455 452 0.00      
12 B1 812 807 0.37      
13 B1 684 679 57.91      
14 B1 517 514 20.25      
15 B2 3159 3137 5.95      
16 B2 3120 3098 19.96      
17 B2 1315 1306 44.06      
18 B2 1249 1241 0.00      
19 B2 1058 1051 6.87      
20 B2 908 902 0.16      
21 B2 655 650 1.80      

Unscaled Zero Point Vibrational Energy (zpe) 14454.7 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 14355.0 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 PBEPBE/cc-pVTZ
ABC
0.33144 0.29192 0.15521

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 0.000 1.254
C2 0.000 1.065 0.424
C3 0.000 -1.065 0.424
C4 0.000 0.683 -0.986
C5 0.000 -0.683 -0.986
H6 0.000 2.081 0.820
H7 0.000 -2.081 0.820
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
N11.35011.35012.34152.34152.12602.12603.37603.3760
C21.35012.12991.46062.24561.09063.17102.27993.3140
C31.35012.12992.24561.46063.17101.09063.31402.2799
C42.34151.46062.24561.36602.28373.30171.08642.2114
C52.34152.24561.46061.36603.30172.28372.21141.0864
H62.12601.09063.17102.28373.30174.16252.75354.3459
H72.12603.17101.09063.30172.28374.16254.34592.7535
H83.37602.27993.31401.08642.21142.75354.34592.7160
H93.37603.31402.27992.21141.08644.34592.75352.7160

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 112.766 N1 C2 H6 120.794
N1 C3 C5 112.766 N1 C3 H7 120.794
C2 N1 C3 104.147 C2 C4 C5 105.160
C2 C4 H8 126.426 C3 C5 C4 105.160
C3 C5 H9 126.426 C4 C2 H6 126.439
C4 C5 H9 128.414 C5 C3 H7 126.439
C5 C4 H8 128.414
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.175      
2 C -0.001      
3 C -0.001      
4 C -0.131      
5 C -0.131      
6 H 0.112      
7 H 0.112      
8 H 0.108      
9 H 0.108      


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 -1.942 1.942
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.183 0.000 0.000
y 0.000 -23.529 0.000
z 0.000 0.000 -31.700
Traceless
 xyz
x -3.568 0.000 0.000
y 0.000 7.913 0.000
z 0.000 0.000 -4.344
Polar
3z2-r2-8.688
x2-y2-7.654
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.112 0.000 0.000
y 0.000 8.975 0.000
z 0.000 0.000 7.870


<r2> (average value of r2) Å2
<r2> 82.466
(<r2>)1/2 9.081