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

using model chemistry: B3LYP/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 B3LYP/6-31G
 hartrees
Energy at 0K-226.141639
Energy at 298.15K-226.147701
HF Energy-226.141639
Nuclear repulsion energy161.772449
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 B3LYP/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' 3683 3543 42.97      
2 A' 3330 3203 2.16      
3 A' 3313 3188 2.09      
4 A' 3304 3179 3.29      
5 A' 1563 1503 18.16      
6 A' 1494 1437 12.01      
7 A' 1429 1375 15.20      
8 A' 1361 1309 10.25      
9 A' 1292 1243 1.20      
10 A' 1171 1127 1.08      
11 A' 1136 1093 10.18      
12 A' 1112 1070 14.94      
13 A' 1072 1032 35.41      
14 A' 957 920 2.76      
15 A' 921 886 8.94      
16 A" 895 861 4.64      
17 A" 821 790 26.76      
18 A" 761 732 24.87      
19 A" 683 657 0.07      
20 A" 660 635 127.09      
21 A" 635 611 56.64      

Unscaled Zero Point Vibrational Energy (zpe) 15795.8 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 15195.5 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 B3LYP/6-31G
ABC
0.31766 0.30952 0.15677

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.113 0.000
C2 -1.107 0.289 0.000
C3 1.129 0.299 0.000
N4 -0.748 -0.991 0.000
C5 0.649 -0.992 0.000
H6 -0.003 2.121 0.000
H7 -2.117 0.661 0.000
H8 2.128 0.700 0.000
H9 1.204 -1.915 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.38011.39202.23372.20311.00712.16522.16793.2588
C21.38012.23561.32952.17352.13841.07703.26093.1933
C31.39202.23562.27761.37702.14473.26641.07662.2150
N42.23371.32952.27761.39753.19972.14593.33652.1597
C52.20312.17351.37701.39753.18003.22292.24681.0769
H61.00712.13842.14473.19973.18002.56912.56144.2121
H72.16521.07703.26642.14593.22292.56914.24574.2033
H82.16793.26091.07663.33652.24682.56144.24572.7730
H93.25883.19332.21502.15971.07694.21214.20332.7730

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 111.032 N1 C2 H7 123.102
N1 C3 C5 105.432 N1 C3 H8 122.334
C2 N1 C3 107.506 C2 N1 H6 126.505
C2 N4 C5 105.676 C3 N1 H6 125.990
C3 C5 N4 110.355 C3 C5 H9 128.611
N4 C2 H7 125.866 N4 C5 H9 121.035
C5 C3 H8 132.234
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.662      
2 C 0.232      
3 C 0.102      
4 N -0.396      
5 C -0.072      
6 H 0.327      
7 H 0.166      
8 H 0.161      
9 H 0.144      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.326 3.747 0.000 3.975
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.424 -3.553 0.000
y -3.553 -25.758 0.000
z 0.000 0.000 -31.474
Traceless
 xyz
x 2.191 -3.553 0.000
y -3.553 3.191 0.000
z 0.000 0.000 -5.383
Polar
3z2-r2-10.765
x2-y2-0.667
xy-3.553
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.981 -0.203 0.000
y -0.203 6.751 0.000
z 0.000 0.000 2.342


<r2> (average value of r2) Å2
<r2> 80.907
(<r2>)1/2 8.995