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

using model chemistry: B3LYP/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/6-311G*
 hartrees
Energy at 0K-226.267856
Energy at 298.15K-226.273805
HF Energy-226.267856
Nuclear repulsion energy163.245564
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 B3LYP/6-311G*
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' 3660 3537 37.36      
2 A' 3270 3160 4.18      
3 A' 3243 3134 2.25      
4 A' 3238 3129 9.79      
5 A' 1565 1513 13.81      
6 A' 1506 1456 17.22      
7 A' 1443 1394 15.00      
8 A' 1367 1321 6.70      
9 A' 1285 1242 0.43      
10 A' 1163 1124 4.77      
11 A' 1149 1110 2.28      
12 A' 1097 1060 21.75      
13 A' 1076 1040 38.01      
14 A' 949 917 2.10      
15 A' 911 880 9.09      
16 A" 854 826 5.95      
17 A" 802 775 38.94      
18 A" 715 691 35.97      
19 A" 685 662 6.06      
20 A" 648 626 12.21      
21 A" 519 501 102.56      

Unscaled Zero Point Vibrational Energy (zpe) 15572.9 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 15048.1 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 B3LYP/6-311G*
ABC
0.32571 0.31353 0.15975

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.105 0.000
C2 -1.089 0.281 0.000
C3 1.119 0.299 0.000
N4 -0.742 -0.984 0.000
C5 0.635 -0.983 0.000
H6 -0.007 2.112 0.000
H7 -2.101 0.660 0.000
H8 2.118 0.704 0.000
H9 1.195 -1.906 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36601.37932.21662.18231.00702.14782.15603.2397
C21.36602.20861.31162.13792.12701.08033.23543.1627
C31.37932.20862.26001.37002.13463.24041.07812.2062
N42.21661.31162.26001.37673.18182.13283.32072.1453
C52.18232.13791.37001.37673.16073.19132.24591.0800
H61.00702.12702.13463.18183.16072.54842.54974.1942
H72.14781.08033.24042.13283.19132.54844.21964.1772
H82.15603.23541.07813.32072.24592.54974.21962.7682
H93.23973.16272.20622.14531.08004.19424.17722.7682

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 111.736 N1 C2 H7 122.367
N1 C3 C5 105.078 N1 C3 H8 122.169
C2 N1 C3 107.120 C2 N1 H6 126.702
C2 N4 C5 105.331 C3 N1 H6 126.178
C3 C5 N4 110.735 C3 C5 H9 128.059
N4 C2 H7 125.897 N4 C5 H9 121.206
C5 C3 H8 132.753
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.484      
2 C 0.061      
3 C -0.081      
4 N -0.288      
5 C -0.177      
6 H 0.347      
7 H 0.212      
8 H 0.213      
9 H 0.198      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.109 3.601 0.000 3.768
CHELPG        
AIM        
ESP 1.088 3.576 0.000 3.737


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.506 -3.207 0.000
y -3.207 -25.381 0.000
z 0.000 0.000 -31.825
Traceless
 xyz
x 2.097 -3.207 0.000
y -3.207 3.785 0.000
z 0.000 0.000 -5.882
Polar
3z2-r2-11.763
x2-y2-1.125
xy-3.207
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.347 -0.173 0.000
y -0.173 7.039 0.000
z 0.000 0.000 3.284


<r2> (average value of r2) Å2
<r2> 79.816
(<r2>)1/2 8.934