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

using model chemistry: PBE1PBE/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBE1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-225.942295
Energy at 298.15K-225.948340
HF Energy-225.942295
Nuclear repulsion energy167.365967
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/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 3231 3106 13.71      
2 A1 3068 2950 0.53      
3 A1 1719 1653 20.66      
4 A1 1415 1360 0.26      
5 A1 1375 1322 36.64      
6 A1 1261 1213 4.62      
7 A1 1045 1005 0.90      
8 A1 941 904 10.72      
9 A2 1141 1098 0.00      
10 A2 937 901 0.00      
11 A2 552 531 0.00      
12 B1 3105 2986 2.11      
13 B1 1000 962 22.60      
14 B1 833 801 4.66      
15 B1 376 361 37.44      
16 B2 3216 3092 3.85      
17 B2 1793 1724 0.34      
18 B2 1396 1343 35.61      
19 B2 1238 1190 1.21      
20 B2 1084 1042 33.04      
21 B2 934 898 70.96      

Unscaled Zero Point Vibrational Energy (zpe) 15830.6 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 15221.1 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/aug-cc-pVTZ
ABC
0.36406 0.30731 0.17209

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.193
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.724 -0.940
C5 0.000 -0.724 -0.940
H6 -0.891 0.000 1.828
H7 0.891 0.000 1.828
H8 0.000 1.467 -1.726
H9 0.000 -1.467 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35161.35162.25322.25321.09391.09393.26763.2676
N21.35161.99251.25052.10892.04532.04532.06083.1771
N31.35161.99252.10891.25052.04532.04533.17712.0608
C42.25321.25052.10891.44732.99722.99721.08192.3276
C52.25322.10891.25051.44732.99722.99722.32761.0819
H61.09392.04532.04532.99722.99721.78183.94733.9473
H71.09392.04532.04532.99722.99721.78183.94733.9473
H83.26762.06083.17711.08192.32763.94733.94732.9344
H93.26763.17712.06082.32761.08193.94733.94732.9344

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 119.927 C1 N3 C5 119.927
N2 C1 N3 94.965 N2 C1 H6 113.091
N2 C1 H7 113.091 N2 C4 C5 102.590
N2 C4 H8 123.996 N3 C1 H6 113.091
N3 C1 H7 113.091 N3 C5 C4 102.590
N3 C5 H9 123.996 C4 C5 H9 133.413
C5 C4 H8 133.413 H6 C1 H7 109.051
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.182      
2 N -0.419      
3 N -0.419      
4 C -0.309      
5 C -0.309      
6 H 0.311      
7 H 0.311      
8 H 0.508      
9 H 0.508      


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 -0.831 0.831
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.519 0.000 0.000
y 0.000 -35.760 0.000
z 0.000 0.000 -21.752
Traceless
 xyz
x 0.237 0.000 0.000
y 0.000 -10.624 0.000
z 0.000 0.000 10.387
Polar
3z2-r220.775
x2-y27.240
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.910 0.000 0.000
y 0.000 7.165 0.000
z 0.000 0.000 8.674


<r2> (average value of r2) Å2
<r2> 76.884
(<r2>)1/2 8.768