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

using model chemistry: TPSSh/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at TPSSh/STO-3G
 hartrees
Energy at 0K-223.395240
Energy at 298.15K-223.400813
HF Energy-223.395240
Nuclear repulsion energy155.125838
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 TPSSh/STO-3G
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' 3454 3454 3.51      
2 A' 3448 3448 11.84      
3 A' 3312 3312 10.20      
4 A' 1666 1666 9.81      
5 A' 1586 1586 6.56      
6 A' 1539 1539 3.22      
7 A' 1354 1354 5.28      
8 A' 1336 1336 19.19      
9 A' 1292 1292 0.77      
10 A' 1014 1014 14.48      
11 A' 994 994 7.95      
12 A' 976 976 7.08      
13 A' 871 871 5.17      
14 A' 850 850 2.42      
15 A" 3413 3413 3.03      
16 A" 1198 1198 0.56      
17 A" 1005 1005 4.95      
18 A" 925 925 0.31      
19 A" 772 772 9.74      
20 A" 544 544 7.35      
21 A" 365 365 7.89      

Unscaled Zero Point Vibrational Energy (zpe) 15956.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15956.1 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 TPSSh/STO-3G
ABC
0.30214 0.26940 0.14645

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/STO-3G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.268 0.359 0.000
C2 0.000 1.165 0.000
N3 1.173 0.539 0.000
C4 0.753 -0.936 0.000
C5 -0.779 -0.881 0.000
H6 -0.082 2.266 0.000
H7 1.168 -1.438 0.899
H8 1.168 -1.438 -0.899
H9 -1.435 -1.768 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.50262.44772.39981.33292.24593.15773.15772.1335
C21.50261.32982.23202.18991.10422.99182.99183.2657
N32.44771.32981.53402.41452.13532.17242.17243.4827
C42.39982.23201.53401.53293.30951.11051.11052.3412
C51.33292.18992.41451.53293.22392.21582.21581.1032
H62.24591.10422.13533.30953.22394.01204.01204.2553
H73.15772.99182.17241.11052.21584.01201.79842.7740
H83.15772.99182.17241.11052.21584.01201.79842.7740
H92.13353.26573.48272.34121.10324.25532.77402.7740

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 119.457 N1 C2 H6 118.184
N1 C5 C4 113.549 N1 C5 H9 121.985
C2 N1 C5 100.954 C2 N3 C4 102.174
N3 C2 H6 122.359 N3 C4 C5 103.866
N3 C4 H7 109.424 N3 C4 H8 109.424
C4 C5 H9 124.466 C5 C4 H7 112.936
C5 C4 H8 112.936 H7 C4 H8 108.136
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.202      
2 C 0.063      
3 N -0.200      
4 C -0.087      
5 C 0.020      
6 H 0.097      
7 H 0.106      
8 H 0.106      
9 H 0.096      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.175 -1.786 0.000 1.795
CHELPG        
AIM        
ESP        


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 3.594 -0.235 0.000
y -0.235 4.872 0.000
z 0.000 0.000 1.665


<r2> (average value of r2) Å2
<r2> 84.920
(<r2>)1/2 9.215