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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: PBEPBE/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 PBEPBE/STO-3G
 hartrees
Energy at 0K-223.084260
Energy at 298.15K-223.089734
HF Energy-223.084260
Nuclear repulsion energy158.191765
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 PBEPBE/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' 3654 3339 33.15      
2 A' 3458 3159 9.27      
3 A' 3429 3133 17.79      
4 A' 3427 3131 13.34      
5 A' 1586 1449 14.61      
6 A' 1527 1395 6.77      
7 A' 1474 1346 7.03      
8 A' 1361 1244 13.14      
9 A' 1249 1141 0.06      
10 A' 1155 1056 9.08      
11 A' 1136 1037 6.07      
12 A' 1096 1001 9.84      
13 A' 1066 974 6.83      
14 A' 918 839 1.36      
15 A' 880 804 3.63      
16 A" 858 784 1.83      
17 A" 766 700 26.97      
18 A" 731 668 6.87      
19 A" 638 583 2.76      
20 A" 621 567 10.43      
21 A" 448 410 76.26      

Unscaled Zero Point Vibrational Energy (zpe) 15739.0 cm-1
Scaled (by 0.9136) Zero Point Vibrational Energy (zpe) 14379.2 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 PBEPBE/STO-3G
ABC
0.30902 0.29145 0.14999

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.139 0.000
C2 -1.123 0.284 0.000
C3 1.149 0.311 0.000
N4 -0.773 -1.043 0.000
C5 0.665 -0.990 0.000
H6 -0.001 2.191 0.000
H7 -2.150 0.685 0.000
H8 2.161 0.740 0.000
H9 1.255 -1.919 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.41131.41562.31472.23011.05222.19742.19783.3055
C21.41132.27181.37232.19542.21241.10263.31573.2417
C31.41562.27182.35121.38822.20353.31981.09942.2331
N42.31471.37232.35121.43933.32482.20953.43362.2095
C52.23012.19541.38821.43933.24993.27582.28691.1008
H61.05222.21242.20353.32483.24992.62382.60444.2979
H72.19741.10263.31982.20953.27582.62384.31174.2869
H82.19783.31571.09943.43362.28692.60444.31172.8091
H93.30553.24172.23312.20951.10084.29794.28692.8091

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 112.512 N1 C2 H7 121.387
N1 C3 C5 105.376 N1 C3 H8 121.308
C2 N1 C3 106.959 C2 N1 H6 127.202
C2 N4 C5 102.650 C3 N1 H6 125.838
C3 C5 N4 112.502 C3 C5 H9 127.204
N4 C2 H7 126.100 N4 C5 H9 120.294
C5 C3 H8 133.316
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.242      
2 C 0.046      
3 C -0.039      
4 N -0.228      
5 C -0.053      
6 H 0.231      
7 H 0.099      
8 H 0.097      
9 H 0.089      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.031 3.444 0.000 3.595
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.157 -2.570 0.000
y -2.570 -23.813 0.000
z 0.000 0.000 -28.472
Traceless
 xyz
x 0.986 -2.570 0.000
y -2.570 3.001 0.000
z 0.000 0.000 -3.987
Polar
3z2-r2-7.974
x2-y2-1.343
xy-2.570
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.700 -0.277 0.000
y -0.277 4.633 0.000
z 0.000 0.000 0.817


<r2> (average value of r2) Å2
<r2> 82.451
(<r2>)1/2 9.080