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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: PBEPBEultrafine/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-225.856560
Energy at 298.15K-225.862463
HF Energy-225.856560
Nuclear repulsion energy165.764294
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/cc-pVDZ
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 3142 3123 16.82      
2 A1 2982 2965 0.16      
3 A1 1671 1661 14.32      
4 A1 1368 1360 0.19      
5 A1 1295 1288 33.15      
6 A1 1235 1228 6.52      
7 A1 1011 1005 1.90      
8 A1 888 883 14.43      
9 A2 1083 1077 0.00      
10 A2 881 875 0.00      
11 A2 528 525 0.00      
12 B1 3022 3004 0.91      
13 B1 947 942 16.27      
14 B1 786 782 4.22      
15 B1 356 354 35.12      
16 B2 3126 3107 10.65      
17 B2 1730 1720 0.75      
18 B2 1338 1330 39.34      
19 B2 1172 1165 0.79      
20 B2 1048 1042 19.22      
21 B2 899 894 82.70      

Unscaled Zero Point Vibrational Energy (zpe) 15253.4 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 15164.9 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 PBEPBEultrafine/cc-pVDZ
ABC
0.36017 0.29951 0.16889

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.206
N2 0.000 0.997 0.285
N3 0.000 -0.997 0.285
C4 0.000 0.731 -0.955
C5 0.000 -0.731 -0.955
H6 -0.901 0.000 1.856
H7 0.901 0.000 1.856
H8 0.000 1.499 -1.741
H9 0.000 -1.499 -1.741

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35701.35702.28062.28061.11081.11083.30633.3063
N21.35701.99371.26812.12622.06692.06692.08753.2149
N31.35701.99372.12621.26812.06692.06693.21492.0875
C42.28061.26812.12621.46113.04023.04021.09972.3644
C52.28062.12621.26811.46113.04023.04022.36441.0997
H61.11082.06692.06693.04023.04021.80193.99943.9994
H71.11082.06692.06693.04023.04021.80193.99943.9994
H83.30632.08753.21491.09972.36443.99943.99942.9985
H93.30633.21492.08752.36441.09973.99943.99942.9985

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 120.603 C1 N3 C5 120.603
N2 C1 N3 94.548 N2 C1 H6 113.384
N2 C1 H7 113.384 N2 C4 C5 102.124
N2 C4 H8 123.526 N3 C1 H6 113.384
N3 C1 H7 113.384 N3 C5 C4 102.124
N3 C5 H9 123.526 C4 C5 H9 134.350
C5 C4 H8 134.350 H6 C1 H7 108.399
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.147      
2 N -0.177      
3 N -0.177      
4 C 0.013      
5 C 0.013      
6 H 0.083      
7 H 0.083      
8 H 0.008      
9 H 0.008      


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 -0.294 0.294
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.961 0.000 0.000
y 0.000 -34.178 0.000
z 0.000 0.000 -22.045
Traceless
 xyz
x 0.151 0.000 0.000
y 0.000 -9.175 0.000
z 0.000 0.000 9.025
Polar
3z2-r218.049
x2-y26.217
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.641 0.000 0.000
y 0.000 5.470 0.000
z 0.000 0.000 8.304


<r2> (average value of r2) Å2
<r2> 77.709
(<r2>)1/2 8.815