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

using model chemistry: LSDA/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 LSDA/STO-3G
 hartrees
Energy at 0K-222.066881
Energy at 298.15K-222.072425
HF Energy-222.066881
Nuclear repulsion energy156.075650
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 LSDA/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' 3437 3078 5.96      
2 A' 3429 3071 21.84      
3 A' 3283 2940 24.85      
4 A' 1626 1456 12.50      
5 A' 1538 1378 8.76      
6 A' 1492 1336 15.68      
7 A' 1314 1177 10.47      
8 A' 1306 1170 17.50      
9 A' 1261 1130 3.39      
10 A' 1019 913 24.51      
11 A' 1001 896 0.95      
12 A' 982 879 9.43      
13 A' 870 779 6.08      
14 A' 854 765 2.95      
15 A" 3380 3027 11.71      
16 A" 1164 1042 0.62      
17 A" 976 874 4.10      
18 A" 912 816 0.12      
19 A" 752 673 15.28      
20 A" 546 489 7.65      
21 A" 367 329 11.76      

Unscaled Zero Point Vibrational Energy (zpe) 15753.6 cm-1
Scaled (by 0.8955) Zero Point Vibrational Energy (zpe) 14107.4 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 LSDA/STO-3G
ABC
0.30526 0.27400 0.14852

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.255 0.368 0.000
C2 0.000 1.160 0.000
N3 1.168 0.524 0.000
C4 0.741 -0.929 0.000
C5 -0.774 -0.876 0.000
H6 -0.073 2.261 0.000
H7 1.157 -1.435 0.897
H8 1.157 -1.435 -0.897
H9 -1.436 -1.759 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.48392.42822.38011.33332.23243.14173.14172.1343
C21.48391.33002.21612.17801.10422.97942.97943.2528
N32.42821.33001.51452.39462.13522.15522.15523.4634
C42.38012.21611.51451.51633.29251.11101.11102.3300
C51.33332.17802.39461.51633.21492.20142.20141.1034
H62.23241.10422.13523.29253.21493.99793.99794.2452
H73.14172.97942.15521.11102.20143.99791.79482.7625
H83.14172.97942.15521.11102.20143.99791.79482.7625
H92.13433.25283.46342.33001.10344.24522.76252.7625

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 119.195 N1 C2 H6 118.470
N1 C5 C4 113.123 N1 C5 H9 122.022
C2 N1 C5 101.133 C2 N3 C4 102.160
N3 C2 H6 122.335 N3 C4 C5 104.389
N3 C4 H7 109.379 N3 C4 H8 109.379
C4 C5 H9 124.855 C5 C4 H7 112.928
C5 C4 H8 112.928 H7 C4 H8 107.748
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.201      
2 C 0.031      
3 N -0.197      
4 C -0.141      
5 C -0.009      
6 H 0.122      
7 H 0.137      
8 H 0.137      
9 H 0.121      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.265 -1.917 0.000 1.935
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.122 -0.553 0.000
y -0.553 -22.708 0.000
z 0.000 0.000 -26.348
Traceless
 xyz
x -7.594 -0.553 0.000
y -0.553 6.527 0.000
z 0.000 0.000 1.067
Polar
3z2-r22.134
x2-y2-9.414
xy-0.553
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.563 -0.210 0.000
y -0.210 4.743 0.000
z 0.000 0.000 1.649


<r2> (average value of r2) Å2
<r2> 83.772
(<r2>)1/2 9.153