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

using model chemistry: B97D3/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 B97D3/aug-cc-pVTZ
 hartrees
Energy at 0K-226.127626
Energy at 298.15K-226.133534
HF Energy-226.127626
Nuclear repulsion energy160.260127
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 B97D3/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 3131 3083 26.96      
2 A1 2989 2943 2.44      
3 A1 1487 1464 7.87      
4 A1 1360 1339 21.36      
5 A1 1311 1291 8.68      
6 A1 979 964 0.78      
7 A1 943 929 1.59      
8 A1 824 811 4.02      
9 A2 1148 1131 0.00      
10 A2 947 932 0.00      
11 A2 560 552 0.00      
12 B1 3018 2972 0.75      
13 B1 989 974 26.55      
14 B1 807 794 1.48      
15 B1 389 383 28.66      
16 B2 3116 3069 11.72      
17 B2 1590 1565 0.77      
18 B2 1253 1234 1.01      
19 B2 1221 1202 0.07      
20 B2 931 917 83.17      
21 B2 884 871 0.09      

Unscaled Zero Point Vibrational Energy (zpe) 14937.6 cm-1
Scaled (by 0.9847) Zero Point Vibrational Energy (zpe) 14709.0 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 B97D3/aug-cc-pVTZ
ABC
0.32324 0.28806 0.15677

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.132
N2 0.000 1.195 0.296
N3 0.000 -1.195 0.296
C4 0.000 0.738 -0.911
C5 0.000 -0.738 -0.911
H6 -0.882 0.000 1.786
H7 0.882 0.000 1.786
H8 0.000 1.388 -1.783
H9 0.000 -1.388 -1.783

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.45861.45862.17212.17211.09841.09843.22843.2284
N21.45862.39021.29052.27882.10432.10432.08763.3155
N31.45862.39022.27881.29052.10432.10433.31552.0876
C42.17211.29052.27881.47582.93222.93221.08752.2976
C52.17212.27881.29051.47582.93222.93222.29761.0875
H61.09842.10432.10432.93222.93221.76463.92983.9298
H71.09842.10432.10432.93222.93221.76463.92983.9298
H83.22842.08763.31551.08752.29763.92983.92982.7757
H93.22843.31552.08762.29761.08753.92983.92982.7757

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 104.228 C1 N3 C5 104.228
N2 C1 N3 110.043 N2 C1 H6 109.966
N2 C1 H7 109.966 N2 C4 C5 110.751
N2 C4 H8 122.547 N3 C1 H6 109.966
N3 C1 H7 109.966 N3 C5 C4 110.751
N3 C5 H9 122.547 C4 C5 H9 126.703
C5 C4 H8 126.703 H6 C1 H7 106.882
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.109      
2 N -0.499      
3 N -0.499      
4 C -0.072      
5 C -0.072      
6 H 0.155      
7 H 0.155      
8 H 0.362      
9 H 0.362      


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 -1.181 1.181
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.075 0.000 0.000
y 0.000 -36.154 0.000
z 0.000 0.000 -23.464
Traceless
 xyz
x 0.734 0.000 0.000
y 0.000 -9.884 0.000
z 0.000 0.000 9.151
Polar
3z2-r218.301
x2-y27.079
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.123 0.000 0.000
y 0.000 7.721 0.000
z 0.000 0.000 8.943


<r2> (average value of r2) Å2
<r2> 82.015
(<r2>)1/2 9.056