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

using model chemistry: B3PW91/6-31+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 B3PW91/6-31+G**
 hartrees
Energy at 0K-226.119687
Energy at 298.15K-226.125604
HF Energy-226.119687
Nuclear repulsion energy160.855946
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 B3PW91/6-31+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' 3241 3111 10.00      
2 A' 3217 3089 7.00      
3 A' 3055 2933 1.35      
4 A' 1669 1602 49.64      
5 A' 1569 1507 13.35      
6 A' 1395 1340 25.41      
7 A' 1329 1276 27.36      
8 A' 1310 1258 5.93      
9 A' 1263 1213 6.47      
10 A' 1055 1013 56.16      
11 A' 1016 976 19.37      
12 A' 951 913 3.32      
13 A' 887 852 1.81      
14 A' 881 846 11.46      
15 A" 3094 2970 0.23      
16 A" 1156 1110 0.33      
17 A" 1003 963 15.90      
18 A" 963 925 1.40      
19 A" 749 719 6.82      
20 A" 568 545 22.39      
21 A" 365 350 7.61      

Unscaled Zero Point Vibrational Energy (zpe) 15368.0 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 14754.8 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 B3PW91/6-31+G**
ABC
0.32142 0.29400 0.15804

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.196 0.362 0.000
C2 0.000 1.134 0.000
N3 1.118 0.500 0.000
C4 0.729 -0.899 0.000
C5 -0.766 -0.854 0.000
H6 -0.069 2.217 0.000
H7 1.138 -1.415 0.880
H8 1.138 -1.415 -0.880
H9 -1.439 -1.707 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42312.31762.30091.28962.17033.06213.06212.0836
C21.42311.28512.15912.13001.08542.92622.92623.1846
N32.31761.28511.45142.31952.08732.10692.10693.3776
C42.30092.15911.45141.49563.21611.09891.09892.3139
C51.28962.13002.31951.49563.14882.17102.17101.0870
H62.17031.08542.08733.21613.14883.92663.92664.1565
H73.06212.92622.10691.09892.17103.92661.75962.7387
H83.06212.92622.10691.09892.17103.92661.75962.7387
H92.08363.18463.37762.31391.08704.15652.73872.7387

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 117.604 N1 C2 H6 119.197
N1 C5 C4 111.187 N1 C5 H9 122.266
C2 N1 C5 103.365 C2 N3 C4 104.024
N3 C2 H6 123.200 N3 C4 C5 103.820
N3 C4 H7 110.650 N3 C4 H8 110.650
C4 C5 H9 126.547 C5 C4 H7 112.710
C5 C4 H8 112.710 H7 C4 H8 106.387
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.197      
2 C -0.013      
3 N -0.212      
4 C -0.300      
5 C -0.017      
6 H 0.162      
7 H 0.204      
8 H 0.204      
9 H 0.169      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.041 -2.252 0.000 2.253
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.832 -0.694 0.000
y -0.694 -23.826 0.000
z 0.000 0.000 -29.112
Traceless
 xyz
x -9.363 -0.694 0.000
y -0.694 8.646 0.000
z 0.000 0.000 0.717
Polar
3z2-r21.435
x2-y2-12.006
xy-0.694
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.338 -0.367 0.000
y -0.367 7.905 0.000
z 0.000 0.000 4.541


<r2> (average value of r2) Å2
<r2> 81.585
(<r2>)1/2 9.032