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

using model chemistry: B2PLYP/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B2PLYP/6-311G*
 hartrees
Energy at 0K-226.037360
Energy at 298.15K-226.043295
HF Energy-225.790205
Nuclear repulsion energy163.140342
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 B2PLYP/6-311G*
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' 3689 3689 45.77      
2 A' 3298 3298 3.27      
3 A' 3274 3274 2.15      
4 A' 3268 3268 7.27      
5 A' 1565 1565 12.69      
6 A' 1513 1513 16.15      
7 A' 1456 1456 16.34      
8 A' 1372 1372 7.35      
9 A' 1289 1289 0.64      
10 A' 1169 1169 4.54      
11 A' 1158 1158 2.02      
12 A' 1105 1105 22.05      
13 A' 1084 1084 36.36      
14 A' 948 948 2.19      
15 A' 910 910 8.31      
16 A" 841 841 9.01      
17 A" 799 799 43.05      
18 A" 707 707 33.33      
19 A" 683 683 6.58      
20 A" 646 646 16.49      
21 A" 508 508 99.09      

Unscaled Zero Point Vibrational Energy (zpe) 15639.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15639.7 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 B2PLYP/6-311G*
ABC
0.32571 0.31265 0.15952

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.108 0.000
C2 -1.088 0.281 0.000
C3 1.120 0.299 0.000
N4 -0.745 -0.985 0.000
C5 0.636 -0.985 0.000
H6 -0.009 2.114 0.000
H7 -2.100 0.661 0.000
H8 2.119 0.702 0.000
H9 1.196 -1.908 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36661.38122.22112.18751.00592.14652.15793.2442
C21.36662.20771.31142.13922.12681.08063.23493.1634
C31.38122.20772.26351.37192.13703.23941.07782.2082
N42.22111.31142.26351.38113.18452.13183.32362.1489
C52.18752.13921.37191.38113.16523.19302.24591.0792
H61.00592.12682.13703.18453.16522.54562.55424.1982
H72.14651.08063.23942.13183.19302.54564.21914.1785
H82.15793.23491.07783.32362.24592.55424.21912.7681
H93.24423.16342.20822.14891.07924.19824.17852.7681

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 112.055 N1 C2 H7 122.161
N1 C3 C5 105.222 N1 C3 H8 122.219
C2 N1 C3 106.920 C2 N1 H6 126.720
C2 N4 C5 105.193 C3 N1 H6 126.360
C3 C5 N4 110.609 C3 C5 H9 128.155
N4 C2 H7 125.784 N4 C5 H9 121.236
C5 C3 H8 132.559
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.490      
2 C 0.055      
3 C -0.091      
4 N -0.292      
5 C -0.184      
6 H 0.355      
7 H 0.220      
8 H 0.221      
9 H 0.205      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.124 3.651 0.000 3.820
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.565 -3.241 0.000
y -3.241 -25.413 0.000
z 0.000 0.000 -31.983
Traceless
 xyz
x 2.133 -3.241 0.000
y -3.241 3.861 0.000
z 0.000 0.000 -5.994
Polar
3z2-r2-11.988
x2-y2-1.152
xy-3.241
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.272 -0.175 0.000
y -0.175 6.970 0.000
z 0.000 0.000 3.257


<r2> (average value of r2) Å2
<r2> 79.939
(<r2>)1/2 8.941