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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: LSDA/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at LSDA/6-31+G**
 hartrees
Energy at 0K-224.996492
Energy at 298.15K-225.002397
HF Energy-224.996492
Nuclear repulsion energy163.433498
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/6-31+G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3576 3522 55.23      
2 A' 3222 3174 0.07      
3 A' 3196 3148 1.42      
4 A' 3190 3143 2.70      
5 A' 1533 1510 13.98      
6 A' 1490 1468 20.32      
7 A' 1432 1410 9.18      
8 A' 1378 1358 9.21      
9 A' 1239 1220 1.90      
10 A' 1198 1180 2.39      
11 A' 1121 1104 3.78      
12 A' 1083 1067 40.39      
13 A' 1056 1040 20.95      
14 A' 919 905 2.73      
15 A' 876 863 7.42      
16 A" 835 823 6.26      
17 A" 767 756 44.25      
18 A" 698 687 40.41      
19 A" 670 660 3.52      
20 A" 634 625 16.23      
21 A" 551 542 94.72      

Unscaled Zero Point Vibrational Energy (zpe) 15331.8 cm-1
Scaled (by 0.985) Zero Point Vibrational Energy (zpe) 15101.8 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 LSDA/6-31+G**
ABC
0.32709 0.31430 0.16029

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.099 0.000
C2 -1.088 0.282 0.000
C3 1.114 0.303 0.000
N4 -0.735 -0.984 0.000
C5 0.631 -0.984 0.000
H6 -0.009 2.118 0.000
H7 -2.110 0.663 0.000
H8 2.123 0.712 0.000
H9 1.201 -1.913 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36051.36932.20892.17611.01872.15482.15833.2428
C21.36052.20241.31472.13472.12921.09083.24003.1719
C31.36932.20242.25291.37462.13403.24451.08872.2178
N42.20891.31472.25291.36553.18562.14603.32332.1475
C52.17612.13471.37461.36553.16663.19772.25881.0906
H61.01872.12922.13403.18563.16662.55572.55394.2085
H72.15481.09083.24452.14603.19772.55574.23384.1957
H82.15833.24001.08873.32332.25882.55394.23382.7820
H93.24283.17192.21782.14751.09064.20854.19572.7820

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.304 N1 C2 H7 122.670
N1 C3 C5 104.945 N1 C3 H8 122.413
C2 N1 C3 107.567 C2 N1 H6 126.398
C2 N4 C5 105.573 C3 N1 H6 126.034
C3 C5 N4 110.610 C3 C5 H9 127.856
N4 C2 H7 126.027 N4 C5 H9 121.534
C5 C3 H8 132.642
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.330      
2 C 0.010      
3 C -0.117      
4 N -0.275      
5 C -0.119      
6 H 0.322      
7 H 0.172      
8 H 0.177      
9 H 0.161      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.215 3.717 0.000 3.910
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.005 -3.449 0.000
y -3.449 -25.878 0.000
z 0.000 0.000 -32.469
Traceless
 xyz
x 2.169 -3.449 0.000
y -3.449 3.859 0.000
z 0.000 0.000 -6.028
Polar
3z2-r2-12.056
x2-y2-1.127
xy-3.449
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.352 0.033 0.000
y 0.033 8.044 0.000
z 0.000 0.000 4.647


<r2> (average value of r2) Å2
<r2> 80.052
(<r2>)1/2 8.947