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

using model chemistry: LSDA/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at LSDA/6-31G(2df,p)
 hartrees
Energy at 0K-224.891371
Energy at 298.15K-224.897321
HF Energy-224.891371
Nuclear repulsion energy167.184130
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 LSDA/6-31G(2df,p)
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 3151 3100 11.74      
2 A1 2978 2930 2.10      
3 A1 1702 1675 15.75      
4 A1 1374 1352 0.05      
5 A1 1287 1267 45.79      
6 A1 1245 1225 5.03      
7 A1 1033 1016 1.92      
8 A1 912 897 13.18      
9 A2 1081 1064 0.00      
10 A2 899 884 0.00      
11 A2 544 536 0.00      
12 B1 3015 2966 4.92      
13 B1 946 931 15.22      
14 B1 796 784 2.74      
15 B1 376 370 40.02      
16 B2 3136 3085 4.66      
17 B2 1770 1742 0.00      
18 B2 1345 1323 29.91      
19 B2 1175 1157 0.04      
20 B2 1052 1035 18.84      
21 B2 910 895 87.90      

Unscaled Zero Point Vibrational Energy (zpe) 15363.4 cm-1
Scaled (by 0.984) Zero Point Vibrational Energy (zpe) 15117.6 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 LSDA/6-31G(2df,p)
ABC
0.36433 0.30639 0.17189

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.188
N2 0.000 0.995 0.283
N3 0.000 -0.995 0.283
C4 0.000 0.722 -0.942
C5 0.000 -0.722 -0.942
H6 -0.894 0.000 1.841
H7 0.894 0.000 1.841
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
C11.34531.34532.24982.24981.10701.10703.27443.2744
N21.34531.99091.25592.11032.05352.05352.07463.1902
N31.34531.99092.11031.25592.05352.05353.19022.0746
C42.24981.25592.11031.44463.01163.01161.09312.3359
C52.24982.11031.25591.44463.01163.01162.33591.0931
H61.10702.05352.05353.01163.01161.78783.97043.9704
H71.10702.05352.05353.01163.01161.78783.97043.9704
H83.27442.07463.19021.09312.33593.97043.97042.9501
H93.27443.19022.07462.33591.09313.97043.97042.9501

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 119.709 C1 N3 C5 119.709
N2 C1 N3 95.454 N2 C1 H6 113.375
N2 C1 H7 113.375 N2 C4 C5 102.564
N2 C4 H8 123.911 N3 C1 H6 113.375
N3 C1 H7 113.375 N3 C5 C4 102.564
N3 C5 H9 123.911 C4 C5 H9 133.525
C5 C4 H8 133.525 H6 C1 H7 107.711
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.304      
2 N -0.052      
3 N -0.052      
4 C -0.161      
5 C -0.161      
6 H 0.207      
7 H 0.207      
8 H 0.158      
9 H 0.158      


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 -0.408 0.408
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.776 0.000 0.000
y 0.000 -34.070 0.000
z 0.000 0.000 -21.685
Traceless
 xyz
x 0.102 0.000 0.000
y 0.000 -9.340 0.000
z 0.000 0.000 9.238
Polar
3z2-r218.476
x2-y26.294
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.768 0.000 0.000
y 0.000 5.545 0.000
z 0.000 0.000 8.173


<r2> (average value of r2) Å2
<r2> 76.530
(<r2>)1/2 8.748