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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-226.069893
Energy at 298.15K-226.075923
HF Energy-226.069893
Nuclear repulsion energy167.060367
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 3264 3106 13.81      
2 A1 3092 2942 0.00      
3 A1 1751 1666 18.39      
4 A1 1434 1364 0.35      
5 A1 1399 1332 25.61      
6 A1 1278 1216 5.79      
7 A1 1055 1004 1.76      
8 A1 944 898 12.83      
9 A2 1151 1096 0.00      
10 A2 931 886 0.00      
11 A2 552 526 0.00      
12 B1 3135 2983 0.09      
13 B1 1011 962 18.49      
14 B1 833 793 3.67      
15 B1 373 355 41.74      
16 B2 3248 3090 9.79      
17 B2 1823 1735 0.09      
18 B2 1415 1346 34.07      
19 B2 1252 1191 0.61      
20 B2 1096 1043 31.11      
21 B2 932 887 77.90      

Unscaled Zero Point Vibrational Energy (zpe) 15983.5 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 15208.3 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
0.36345 0.30566 0.17145

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 1.197
N2 0.000 0.996 0.281
N3 0.000 -0.996 0.281
C4 0.000 0.725 -0.943
C5 0.000 -0.725 -0.943
H6 -0.892 0.000 1.832
H7 0.892 0.000 1.832
H8 0.000 1.470 -1.729
H9 0.000 -1.470 -1.729

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35341.35342.25962.25961.09491.09493.27473.2747
N21.35341.99291.25402.11242.04782.04782.06543.1821
N31.35341.99292.11241.25402.04782.04783.18212.0654
C42.25961.25402.11241.45003.00383.00381.08312.3316
C52.25962.11241.25401.45003.00383.00382.33161.0831
H61.09492.04782.04783.00383.00381.78383.95473.9547
H71.09492.04782.04783.00383.00381.78383.95473.9547
H83.27472.06543.18211.08312.33163.95473.95472.9403
H93.27473.18212.06542.33161.08313.95473.95472.9403

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 120.083 C1 N3 C5 120.083
N2 C1 N3 94.829 N2 C1 H6 113.110
N2 C1 H7 113.110 N2 C4 C5 102.502
N2 C4 H8 124.029 N3 C1 H6 113.110
N3 C1 H7 113.110 N3 C5 C4 102.502
N3 C5 H9 124.029 C4 C5 H9 133.469
C5 C4 H8 133.469 H6 C1 H7 109.096
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 0.020      
2 N -0.394      
3 N -0.394      
4 C 0.038      
5 C 0.038      
6 H 0.198      
7 H 0.198      
8 H 0.148      
9 H 0.148      


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 -0.613 0.613
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.832 0.000 0.000
y 0.000 -34.402 0.000
z 0.000 0.000 -21.330
Traceless
 xyz
x 0.034 0.000 0.000
y 0.000 -9.821 0.000
z 0.000 0.000 9.787
Polar
3z2-r219.573
x2-y26.570
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.382 0.000 0.000
y 0.000 5.023 0.000
z 0.000 0.000 7.831


<r2> (average value of r2) Å2
<r2> 76.590
(<r2>)1/2 8.752