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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: B2PLYP/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-225.979464
Energy at 298.15K-225.985381
HF Energy-225.734797
Nuclear repulsion energy160.342050
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/6-31+G**
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' 3272 3116 8.81      
2 A' 3247 3092 6.05      
3 A' 3085 2938 1.51      
4 A' 1641 1563 43.58      
5 A' 1546 1473 11.14      
6 A' 1430 1362 20.54      
7 A' 1336 1272 24.81      
8 A' 1318 1256 5.94      
9 A' 1278 1218 6.48      
10 A' 1043 994 61.26      
11 A' 1004 956 11.47      
12 A' 951 906 2.77      
13 A' 882 840 2.28      
14 A' 878 837 10.79      
15 A" 3126 2977 0.67      
16 A" 1165 1109 0.39      
17 A" 1011 963 17.28      
18 A" 960 914 0.38      
19 A" 757 721 7.06      
20 A" 564 537 22.30      
21 A" 366 348 6.37      

Unscaled Zero Point Vibrational Energy (zpe) 15429.6 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 14695.2 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/6-31+G**
ABC
0.31891 0.29223 0.15694

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.200 0.362 0.000
C2 0.000 1.139 0.000
N3 1.121 0.502 0.000
C4 0.732 -0.905 0.000
C5 -0.767 -0.857 0.000
H6 -0.071 2.219 0.000
H7 1.138 -1.413 0.881
H8 1.138 -1.413 -0.881
H9 -1.438 -1.708 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43002.32602.31071.29442.17343.06593.06592.0843
C21.43001.28952.17122.13901.08202.93052.93053.1902
N32.32601.28951.46032.32712.08982.10852.10853.3821
C42.31072.17121.46031.49963.22531.09541.09542.3139
C51.29442.13902.32711.49963.15432.17182.17181.0837
H62.17341.08202.08983.22533.15433.92823.92824.1586
H73.06592.93052.10851.09542.17183.92821.76182.7391
H83.06592.93052.10851.09542.17183.92821.76182.7391
H92.08433.19023.38212.31391.08374.15862.73912.7391

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.491 N1 C2 H6 119.170
N1 C5 C4 111.370 N1 C5 H9 122.184
C2 N1 C5 103.356 C2 N3 C4 104.122
N3 C2 H6 123.338 N3 C4 C5 103.660
N3 C4 H7 110.372 N3 C4 H8 110.372
C4 C5 H9 126.445 C5 C4 H7 112.701
C5 C4 H8 112.701 H7 C4 H8 107.064
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.264      
2 C 0.063      
3 N -0.286      
4 C -0.207      
5 C 0.018      
6 H 0.154      
7 H 0.181      
8 H 0.181      
9 H 0.161      


Electric dipole moments


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 7.352 -0.357 0.000
y -0.357 7.898 0.000
z 0.000 0.000 4.597


<r2> (average value of r2) Å2
<r2> 82.195
(<r2>)1/2 9.066