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

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 1A1
Energy calculated at PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-225.930621
Energy at 298.15K-225.936555
HF Energy-225.930621
Nuclear repulsion energy166.350239
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 3135 3100 17.59      
2 A1 2975 2942 0.73      
3 A1 1640 1622 20.12      
4 A1 1361 1346 0.02      
5 A1 1319 1304 36.87      
6 A1 1225 1211 5.75      
7 A1 1008 997 1.12      
8 A1 898 888 10.32      
9 A2 1095 1083 0.00      
10 A2 889 879 0.00      
11 A2 531 525 0.00      
12 B1 3006 2972 2.67      
13 B1 957 946 20.55      
14 B1 797 788 5.19      
15 B1 364 360 36.93      
16 B2 3121 3087 5.73      
17 B2 1706 1687 1.30      
18 B2 1329 1314 36.26      
19 B2 1188 1174 1.52      
20 B2 1048 1036 28.68      
21 B2 905 894 72.96      

Unscaled Zero Point Vibrational Energy (zpe) 15247.8 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 15077.0 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.36202 0.30202 0.17003

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)
C1 0.000 0.000 1.202
N2 0.000 0.997 0.283
N3 0.000 -0.997 0.283
C4 0.000 0.727 -0.950
C5 0.000 -0.727 -0.950
H6 -0.896 0.000 1.845
H7 0.896 0.000 1.845
H8 0.000 1.483 -1.735
H9 0.000 -1.483 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35571.35572.27212.27211.10231.10233.29063.2906
N21.35571.99341.26272.11992.05782.05782.07633.1973
N31.35571.99342.11991.26272.05782.05783.19732.0763
C42.27211.26272.11991.45463.02413.02411.08942.3453
C52.27212.11991.26271.45463.02413.02412.34531.0894
H61.10232.05782.05783.02413.02411.79103.97743.9774
H71.10232.05782.05783.02413.02411.79103.97743.9774
H83.29062.07633.19731.08942.34533.97743.97742.9655
H93.29063.19732.07632.34531.08943.97743.97742.9655

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 120.356 C1 N3 C5 120.356
N2 C1 N3 94.651 N2 C1 H6 113.283
N2 C1 H7 113.283 N2 C4 C5 102.319
N2 C4 H8 123.781 N3 C1 H6 113.283
N3 C1 H7 113.283 N3 C5 C4 102.319
N3 C5 H9 123.781 C4 C5 H9 133.900
C5 C4 H8 133.900 H6 C1 H7 108.658
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 C -0.139      
2 N -0.403      
3 N -0.403      
4 C -0.290      
5 C -0.290      
6 H 0.283      
7 H 0.283      
8 H 0.479      
9 H 0.479      


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 -0.684 0.684
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.729 0.000 0.000
y 0.000 -36.264 0.000
z 0.000 0.000 -22.056
Traceless
 xyz
x 0.430 0.000 0.000
y 0.000 -10.872 0.000
z 0.000 0.000 10.441
Polar
3z2-r220.882
x2-y27.535
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.158 0.000 0.000
y 0.000 7.979 0.000
z 0.000 0.000 9.132


<r2> (average value of r2) Å2
<r2> 77.845
(<r2>)1/2 8.823