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

using model chemistry: BLYP/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 BLYP/6-31G*
 hartrees
Energy at 0K-226.111990
Energy at 298.15K-226.117775
HF Energy-226.111990
Nuclear repulsion energy158.914596
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 BLYP/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' 3144 3119 19.07      
2 A' 3122 3097 13.60      
3 A' 2967 2943 2.47      
4 A' 1582 1569 36.17      
5 A' 1483 1471 7.07      
6 A' 1390 1379 16.97      
7 A' 1288 1278 17.96      
8 A' 1271 1260 4.21      
9 A' 1227 1217 9.40      
10 A' 985 977 55.60      
11 A' 945 938 4.98      
12 A' 906 899 4.45      
13 A' 849 842 10.48      
14 A' 842 836 4.70      
15 A" 2995 2971 3.11      
16 A" 1129 1120 0.27      
17 A" 968 960 9.15      
18 A" 917 910 0.35      
19 A" 728 722 6.23      
20 A" 548 544 17.53      
21 A" 364 361 7.77      

Unscaled Zero Point Vibrational Energy (zpe) 14826.3 cm-1
Scaled (by 0.9919) Zero Point Vibrational Energy (zpe) 14706.2 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 BLYP/6-31G*
ABC
0.31486 0.28559 0.15409

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.212 0.358 0.000
C2 0.000 1.146 0.000
N3 1.126 0.512 0.000
C4 0.745 -0.908 0.000
C5 -0.777 -0.864 0.000
H6 -0.081 2.237 0.000
H7 1.158 -1.423 0.887
H8 1.158 -1.423 -0.887
H9 -1.446 -1.731 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.44572.34362.33081.29732.19333.09463.09462.1026
C21.44571.29272.18482.15501.09412.95402.95403.2204
N32.34361.29271.47012.34852.10592.12832.12833.4131
C42.33082.18481.47011.52233.25161.10541.10542.3405
C51.29732.15502.34851.52233.17832.20072.20071.0955
H62.19331.09412.10593.25163.17833.96443.96444.1968
H73.09462.95402.12831.10542.20073.96441.77302.7682
H83.09462.95402.12831.10542.20073.96441.77302.7682
H92.10263.22043.41312.34051.09554.19682.76822.7682

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 117.594 N1 C2 H6 118.780
N1 C5 C4 111.255 N1 C5 H9 122.752
C2 N1 C5 103.419 C2 N3 C4 104.336
N3 C2 H6 123.626 N3 C4 C5 103.396
N3 C4 H7 110.655 N3 C4 H8 110.655
C4 C5 H9 125.992 C5 C4 H7 112.786
C5 C4 H8 112.786 H7 C4 H8 106.634
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.338      
2 C 0.164      
3 N -0.330      
4 C -0.201      
5 C 0.078      
6 H 0.138      
7 H 0.177      
8 H 0.177      
9 H 0.135      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.073 -1.995 0.000 1.997
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.553 -0.644 0.000
y -0.644 -24.131 0.000
z 0.000 0.000 -28.572
Traceless
 xyz
x -8.201 -0.644 0.000
y -0.644 7.432 0.000
z 0.000 0.000 0.770
Polar
3z2-r21.540
x2-y2-10.422
xy-0.644
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.317 -0.317 0.000
y -0.317 7.518 0.000
z 0.000 0.000 3.489


<r2> (average value of r2) Å2
<r2> 82.814
(<r2>)1/2 9.100