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

using model chemistry: TPSSh/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at TPSSh/6-31G
 hartrees
Energy at 0K-226.158243
Energy at 298.15K-226.164287
HF Energy-226.158243
Nuclear repulsion energy161.536786
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 TPSSh/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 A' 3667 3528 36.61      
2 A' 3335 3208 2.86      
3 A' 3321 3195 3.55      
4 A' 3309 3183 3.39      
5 A' 1556 1497 16.44      
6 A' 1490 1434 11.54      
7 A' 1427 1373 14.29      
8 A' 1354 1302 9.65      
9 A' 1285 1236 1.54      
10 A' 1171 1127 1.05      
11 A' 1132 1089 11.33      
12 A' 1111 1069 14.99      
13 A' 1070 1029 33.30      
14 A' 945 910 3.20      
15 A' 907 872 8.11      
16 A" 889 855 7.26      
17 A" 812 782 39.51      
18 A" 757 728 24.57      
19 A" 679 653 8.70      
20 A" 662 636 137.47      
21 A" 631 607 33.58      

Unscaled Zero Point Vibrational Energy (zpe) 15753.0 cm-1
Scaled (by 0.9621) Zero Point Vibrational Energy (zpe) 15156.0 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 TPSSh/6-31G
ABC
0.31723 0.30807 0.15629

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.115 0.000
C2 -1.108 0.289 0.000
C3 1.131 0.301 0.000
N4 -0.750 -0.995 0.000
C5 0.650 -0.992 0.000
H6 -0.003 2.123 0.000
H7 -2.117 0.662 0.000
H8 2.128 0.706 0.000
H9 1.204 -1.915 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.38171.39332.23942.20461.00842.16532.16673.2598
C21.38172.23891.33372.17552.14121.07603.26263.1942
C31.39332.23892.28411.37892.14613.26831.07622.2165
N42.23941.33372.28411.40023.20682.14893.34302.1593
C52.20462.17551.37891.40023.18263.22422.25061.0762
H61.00842.14122.14613.20683.18262.57042.55884.2141
H72.16531.07603.26832.14893.22422.57044.24554.2037
H82.16673.26261.07623.34302.25062.55884.24552.7785
H93.25983.19422.21652.15931.07624.21414.20372.7785

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 111.102 N1 C2 H7 123.048
N1 C3 C5 105.354 N1 C3 H8 122.139
C2 N1 C3 107.572 C2 N1 H6 126.534
C2 N4 C5 105.431 C3 N1 H6 125.894
C3 C5 N4 110.542 C3 C5 H9 128.641
N4 C2 H7 125.850 N4 C5 H9 120.816
C5 C3 H8 132.507
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.691      
2 C 0.228      
3 C 0.083      
4 N -0.418      
5 C -0.095      
6 H 0.343      
7 H 0.191      
8 H 0.188      
9 H 0.171      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.328 3.754 0.000 3.982
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.059 -0.184 0.000
y -0.184 6.824 0.000
z 0.000 0.000 2.377


<r2> (average value of r2) Å2
<r2> 81.025
(<r2>)1/2 9.001