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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-226.229355
Energy at 298.15K-226.235264
HF Energy-226.229355
Nuclear repulsion energy162.896578
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' 3634 3487 36.61      
2 A' 3299 3165 4.31      
3 A' 3276 3143 4.00      
4 A' 3268 3135 8.63      
5 A' 1572 1508 11.49      
6 A' 1520 1458 18.97      
7 A' 1452 1393 15.44      
8 A' 1380 1324 8.21      
9 A' 1290 1238 0.45      
10 A' 1171 1123 4.52      
11 A' 1160 1113 3.14      
12 A' 1108 1063 19.07      
13 A' 1084 1040 32.36      
14 A' 934 896 1.74      
15 A' 892 855 8.45      
16 A" 850 816 8.78      
17 A" 792 760 40.12      
18 A" 714 685 20.98      
19 A" 679 652 1.57      
20 A" 641 615 17.37      
21 A" 510 489 94.46      

Unscaled Zero Point Vibrational Energy (zpe) 15612.8 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 14978.9 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
0.32507 0.31150 0.15907

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 1.109 0.000
C2 -1.089 0.281 0.000
C3 1.121 0.300 0.000
N4 -0.746 -0.988 0.000
C5 0.637 -0.986 0.000
H6 -0.010 2.120 0.000
H7 -2.102 0.663 0.000
H8 2.122 0.707 0.000
H9 1.197 -1.911 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36861.38292.22572.18941.01102.14922.15963.2487
C21.36862.21071.31412.14062.13311.08293.23933.1671
C31.38292.21072.26811.37402.14293.24411.08012.2122
N42.22571.31412.26811.38233.19402.13683.33102.1510
C52.18942.14061.37401.38233.17233.19692.25191.0818
H61.01102.13312.14293.19403.17232.55022.55724.2078
H72.14921.08293.24412.13683.19692.55024.22454.1847
H82.15963.23931.08013.33102.25192.55724.22452.7765
H93.24873.16712.21222.15101.08184.20784.18472.7765

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 112.105 N1 C2 H7 122.057
N1 C3 C5 105.157 N1 C3 H8 122.042
C2 N1 C3 106.923 C2 N1 H6 126.723
C2 N4 C5 105.064 C3 N1 H6 126.354
C3 C5 N4 110.750 C3 C5 H9 128.132
N4 C2 H7 125.837 N4 C5 H9 121.117
C5 C3 H8 132.801
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 -0.573      
2 C 0.202      
3 C -0.001      
4 N -0.439      
5 C -0.054      
6 H 0.349      
7 H 0.178      
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
  1.125 3.561 0.000 3.734
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 7.133 -0.185 0.000
y -0.185 6.868 0.000
z 0.000 0.000 2.619


<r2> (average value of r2) Å2
<r2> 79.733
(<r2>)1/2 8.929