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

using model chemistry: HF/CEP-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 HF/CEP-31G
 hartrees
Energy at 0K-37.914396
Energy at 298.15K-37.920613
HF Energy-37.914396
Nuclear repulsion energy85.943860
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 HF/CEP-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 3488 3144 14.86      
2 A1 3302 2976 3.38      
3 A1 1830 1649 29.31      
4 A1 1576 1421 16.37      
5 A1 1499 1351 20.84      
6 A1 1323 1192 3.96      
7 A1 1109 999 2.71      
8 A1 1009 909 17.46      
9 A2 1266 1141 0.00      
10 A2 1013 913 0.00      
11 A2 597 538 0.00      
12 B1 3359 3027 6.11      
13 B1 1149 1036 24.82      
14 B1 924 833 12.37      
15 B1 396 357 60.08      
16 B2 3467 3125 6.95      
17 B2 1894 1707 0.25      
18 B2 1504 1356 27.25      
19 B2 1363 1228 8.91      
20 B2 1155 1041 68.49      
21 B2 1012 912 69.43      

Unscaled Zero Point Vibrational Energy (zpe) 17115.4 cm-1
Scaled (by 0.9014) Zero Point Vibrational Energy (zpe) 15427.8 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 HF/CEP-31G
ABC
0.35816 0.29840 0.16792

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.222
N2 0.000 0.998 0.279
N3 0.000 -0.998 0.279
C4 0.000 0.741 -0.955
C5 0.000 -0.741 -0.955
H6 -0.886 0.000 1.844
H7 0.886 0.000 1.844
H8 0.000 1.475 -1.735
H9 0.000 -1.475 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.37291.37292.29962.29961.08301.08303.30403.3040
N21.37291.99671.26092.13302.05682.05682.06973.1896
N31.37291.99672.13301.26092.05682.05683.18962.0697
C42.29961.26092.13301.48243.02823.02821.07062.3493
C52.29962.13301.26091.48243.02823.02822.34931.0706
H61.08302.05682.05683.02823.02821.77293.97103.9710
H71.08302.05682.05683.02823.02821.77293.97103.9710
H83.30402.06973.18961.07062.34933.97103.97102.9498
H93.30403.18962.06972.34931.07063.97103.97102.9498

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 121.583 C1 N3 C5 121.583
N2 C1 N3 93.300 N2 C1 H6 113.227
N2 C1 H7 113.227 N2 C4 C5 101.767
N2 C4 H8 124.972 N3 C1 H6 113.227
N3 C1 H7 113.227 N3 C5 C4 101.767
N3 C5 H9 124.972 C4 C5 H9 133.261
C5 C4 H8 133.261 H6 C1 H7 109.870
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.549      
2 N 0.151      
3 N 0.151      
4 C -0.374      
5 C -0.374      
6 H 0.239      
7 H 0.239      
8 H 0.258      
9 H 0.258      


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 -1.143 1.143
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.811 0.000 0.000
y 0.000 -37.704 0.000
z 0.000 0.000 -21.201
Traceless
 xyz
x 0.641 0.000 0.000
y 0.000 -12.697 0.000
z 0.000 0.000 12.056
Polar
3z2-r224.112
x2-y28.892
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.237 0.000 0.000
y 0.000 4.423 0.000
z 0.000 0.000 7.582


<r2> (average value of r2) Å2
<r2> 65.414
(<r2>)1/2 8.088