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

using model chemistry: B2PLYP/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 B2PLYP/6-31G
 hartrees
Energy at 0K-225.788138
Energy at 298.15K-225.794053
HF Energy-225.618268
Nuclear repulsion energy158.189730
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/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3318 3318 6.95      
2 A' 3279 3279 4.43      
3 A' 3098 3098 0.16      
4 A' 1579 1579 25.32      
5 A' 1509 1509 12.36      
6 A' 1461 1461 15.85      
7 A' 1320 1320 19.82      
8 A' 1309 1309 1.67      
9 A' 1278 1278 13.36      
10 A' 993 993 48.05      
11 A' 956 956 3.06      
12 A' 936 936 2.83      
13 A' 861 861 9.64      
14 A' 847 847 13.06      
15 A" 3145 3145 0.91      
16 A" 1170 1170 0.12      
17 A" 1027 1027 16.08      
18 A" 953 953 0.22      
19 A" 781 781 12.33      
20 A" 574 574 23.21      
21 A" 390 390 10.52      

Unscaled Zero Point Vibrational Energy (zpe) 15391.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15391.6 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/6-31G
ABC
0.30755 0.28619 0.15248

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.148 -0.536 0.000
C2 -0.773 0.876 0.000
N3 0.505 1.135 0.000
C4 1.168 -0.206 0.000
C5 0.000 -1.167 0.000
H6 -1.543 1.631 0.000
H7 1.806 -0.301 0.886
H8 1.806 -0.301 -0.886
H9 0.064 -2.246 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.46152.35052.34021.31042.20223.09333.09332.0965
C21.46151.30322.22232.18481.07832.96992.96993.2329
N32.35051.30321.49612.35682.10712.13072.13073.4101
C42.34022.22231.49611.51313.27501.09541.09542.3204
C51.31042.18482.35681.51313.19522.19012.19011.0812
H62.20221.07832.10713.27503.19523.96663.96664.1969
H73.09332.96992.13071.09542.19013.96661.77102.7577
H83.09332.96992.13071.09542.19013.96661.77102.7577
H92.09653.23293.41012.32041.08124.19692.75772.7577

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 116.342 N1 C2 H6 119.483
N1 C5 C4 111.755 N1 C5 H9 122.180
C2 N1 C5 103.899 C2 N3 C4 104.893
N3 C2 H6 124.175 N3 C4 C5 103.111
N3 C4 H7 109.644 N3 C4 H8 109.644
C4 C5 H9 126.065 C5 C4 H7 113.225
C5 C4 H8 113.225 H7 C4 H8 107.879
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.340      
2 C 0.106      
3 N -0.321      
4 C -0.259      
5 C 0.029      
6 H 0.187      
7 H 0.208      
8 H 0.208      
9 H 0.181      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.605 -1.584 0.000 2.255
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.309 -6.312 0.000
y -6.312 -30.206 0.000
z 0.000 0.000 -29.109
Traceless
 xyz
x -0.652 -6.312 0.000
y -6.312 -0.497 0.000
z 0.000 0.000 1.149
Polar
3z2-r22.297
x2-y2-0.103
xy-6.312
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.922 -0.661 0.000
y -0.661 6.293 0.000
z 0.000 0.000 3.271


<r2> (average value of r2) Å2
<r2> 83.876
(<r2>)1/2 9.158