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

using model chemistry: B97D3/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B97D3/6-31G*
 hartrees
Energy at 0K-226.066879
Energy at 298.15K-226.072682
HF Energy-226.066879
Nuclear repulsion energy 
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 B97D3/6-31G*
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' 3576 3506 25.91      
2 A' 3234 3170 5.71      
3 A' 3208 3146 4.46      
4 A' 3201 3138 10.90      
5 A' 1530 1500 10.97      
6 A' 1478 1449 16.74      
7 A' 1412 1384 14.69      
8 A' 1342 1316 7.11      
9 A' 1259 1234 0.32      
10 A' 1154 1132 6.03      
11 A' 1130 1108 2.87      
12 A' 1080 1059 17.07      
13 A' 1058 1038 29.52      
14 A' 928 909 1.92      
15 A' 889 872 9.75      
16 A" 812 796 9.76      
17 A" 750 735 39.30      
18 A" 677 663 10.82      
19 A" 667 654 6.35      
20 A" 627 615 15.01      
21 A" 480 471 90.74      

Unscaled Zero Point Vibrational Energy (zpe) 15245.6 cm-1
Scaled (by 0.9804) Zero Point Vibrational Energy (zpe) 14946.8 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 B97D3/6-31G*
ABC
0.32202 0.30917 0.15773

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.746 -0.993 0.000
H2 -0.006 2.123 0.000
C3 1.127 0.303 0.000
H4 2.128 0.718 0.000
C5 0.638 -0.988 0.000
H6 1.203 -1.916 0.000
H7 -2.113 0.667 0.000
C8 -1.097 0.283 0.000
N9 0.000 1.110 0.000

Atom - Atom Distances (Å)
  N1 H2 C3 H4 C5 H6 H7 C8 N9
N13.20272.27703.34401.38422.15632.15051.32372.2314
H23.20272.14372.55473.17744.21592.56102.13921.0129
C32.27702.14371.08371.38032.22003.25972.22381.3860
H43.34402.55471.08372.26452.79114.24073.25402.1636
C51.38423.17741.38032.26451.08583.21092.15162.1935
H62.15634.21592.22002.79111.08584.20323.18233.2565
H72.15052.56103.25974.24073.21094.20321.08572.1586
C81.32372.13922.22383.25402.15163.18231.08571.3739
N92.23141.01291.38602.16362.19353.25652.15861.3739

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 69.984 N1 C2 H7 41.998
N1 C3 C5 34.606 N1 C3 H8 34.181
C2 N1 C3 41.954 C2 N1 H6 101.982
C2 N4 C5 82.257 C3 N1 H6 60.028
C3 C5 N4 20.411 C3 C5 H9 37.631
N4 C2 H7 111.982 N4 C5 H9 58.042
C5 C3 H8 68.787
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.414      
2 H 0.331      
3 C 0.011      
4 H 0.154      
5 C -0.038      
6 H 0.140      
7 H 0.158      
8 C 0.194      
9 N -0.535      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.104 3.489 0.000 3.660
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.073 -3.077 0.000
y -3.077 -24.964 0.000
z 0.000 0.000 -31.038
Traceless
 xyz
x 1.927 -3.077 0.000
y -3.077 3.591 0.000
z 0.000 0.000 -5.519
Polar
3z2-r2-11.038
x2-y2-1.109
xy-3.077
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.287 -0.191 0.000
y -0.191 6.986 0.000
z 0.000 0.000 2.630


<r2> (average value of r2) Å2
<r2> 80.261
(<r2>)1/2 8.959