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

using model chemistry: mPW1PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-31G
 hartrees
Energy at 0K-225.973774
Energy at 298.15K-225.979868
HF Energy-225.973774
Nuclear repulsion energy165.929330
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 mPW1PW91/6-31G
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 3326 3148 9.07      
2 A1 3127 2960 1.93      
3 A1 1710 1619 21.97      
4 A1 1454 1377 26.52      
5 A1 1398 1323 5.72      
6 A1 1272 1204 9.89      
7 A1 1057 1001 6.22      
8 A1 953 902 9.22      
9 A2 1171 1108 0.00      
10 A2 942 892 0.00      
11 A2 571 540 0.00      
12 B1 3177 3008 0.84      
13 B1 1043 988 17.68      
14 B1 853 808 10.58      
15 B1 400 379 55.12      
16 B2 3308 3131 7.30      
17 B2 1778 1683 0.07      
18 B2 1369 1296 11.47      
19 B2 1278 1210 2.12      
20 B2 1098 1039 38.78      
21 B2 961 910 82.93      

Unscaled Zero Point Vibrational Energy (zpe) 16122.9 cm-1
Scaled (by 0.9466) Zero Point Vibrational Energy (zpe) 15261.9 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 mPW1PW91/6-31G
ABC
0.36145 0.29912 0.16891

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.214
N2 0.000 0.998 0.283
N3 0.000 -0.998 0.283
C4 0.000 0.731 -0.955
C5 0.000 -0.731 -0.955
H6 -0.890 0.000 1.845
H7 0.890 0.000 1.845
H8 0.000 1.470 -1.738
H9 0.000 -1.470 -1.738

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.36451.36452.28852.28851.09161.09163.29803.2980
N21.36451.99521.26622.12582.05662.05662.07583.1898
N31.36451.99522.12581.26622.05662.05663.18982.0758
C42.28851.26622.12581.46133.02793.02791.07732.3360
C52.28852.12581.26621.46133.02793.02792.33601.0773
H61.09162.05662.05663.02793.02791.78073.97473.9747
H71.09162.05662.05663.02793.02791.78073.97473.9747
H83.29802.07583.18981.07732.33603.97473.97472.9399
H93.29803.18982.07582.33601.07733.97473.97472.9399

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 120.849 C1 N3 C5 120.849
N2 C1 N3 93.959 N2 C1 H6 113.251
N2 C1 H7 113.251 N2 C4 C5 102.171
N2 C4 H8 124.496 N3 C1 H6 113.251
N3 C1 H7 113.251 N3 C5 C4 102.171
N3 C5 H9 124.496 C4 C5 H9 133.333
C5 C4 H8 133.333 H6 C1 H7 109.296
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.116      
2 N -0.392      
3 N -0.392      
4 C -0.017      
5 C -0.017      
6 H 0.263      
7 H 0.263      
8 H 0.204      
9 H 0.204      


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 -0.576 0.576
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.081 0.000 0.000
y 0.000 -36.004 0.000
z 0.000 0.000 -21.122
Traceless
 xyz
x 0.482 0.000 0.000
y 0.000 -11.403 0.000
z 0.000 0.000 10.921
Polar
3z2-r221.841
x2-y27.923
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.182 0.000 0.000
y 0.000 4.735 0.000
z 0.000 0.000 7.756


<r2> (average value of r2) Å2
<r2> 77.744
(<r2>)1/2 8.817