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

using model chemistry: wB97X-D/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 wB97X-D/6-311G*
 hartrees
Energy at 0K-226.187586
Energy at 298.15K-226.193588
HF Energy-226.187586
Nuclear repulsion energy163.779874
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 wB97X-D/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' 3717 3717 49.53      
2 A' 3299 3299 3.18      
3 A' 3269 3269 2.69      
4 A' 3263 3263 9.66      
5 A' 1594 1594 15.66      
6 A' 1535 1535 20.01      
7 A' 1476 1476 14.95      
8 A' 1399 1399 7.76      
9 A' 1292 1292 0.41      
10 A' 1191 1191 4.29      
11 A' 1165 1165 1.91      
12 A' 1115 1115 28.07      
13 A' 1089 1089 35.19      
14 A' 955 955 2.68      
15 A' 915 915 7.93      
16 A" 878 878 6.44      
17 A" 820 820 31.93      
18 A" 725 725 43.59      
19 A" 690 690 5.94      
20 A" 655 655 11.49      
21 A" 541 541 112.25      

Unscaled Zero Point Vibrational Energy (zpe) 15790.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15790.7 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 wB97X-D/6-311G*
ABC
0.32805 0.31553 0.16083

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.101 0.000
C2 -1.084 0.280 0.000
C3 1.115 0.298 0.000
N4 -0.740 -0.981 0.000
C5 0.632 -0.980 0.000
H6 -0.009 2.105 0.000
H7 -2.095 0.660 0.000
H8 2.114 0.703 0.000
H9 1.192 -1.903 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35981.37412.20942.17461.00442.14122.15123.2319
C21.35982.19911.30692.12912.11831.08043.22583.1540
C31.37412.19912.25301.36552.12873.23071.07782.2021
N42.20941.30692.25301.37253.17152.12833.31352.1412
C52.17462.12911.36551.37253.15103.18272.24161.0798
H61.00442.11832.12873.17153.15102.53782.54484.1845
H72.14121.08043.23072.12833.18272.53784.20954.1688
H82.15123.22581.07783.31352.24162.54484.20952.7637
H93.23193.15402.20212.14121.07984.18454.16882.7637

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 111.876 N1 C2 H7 122.263
N1 C3 C5 105.071 N1 C3 H8 122.175
C2 N1 C3 107.098 C2 N1 H6 126.607
C2 N4 C5 105.211 C3 N1 H6 126.294
C3 C5 N4 110.744 C3 C5 H9 128.069
N4 C2 H7 125.861 N4 C5 H9 121.187
C5 C3 H8 132.754
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.509      
2 C 0.065      
3 C -0.090      
4 N -0.303      
5 C -0.193      
6 H 0.362      
7 H 0.227      
8 H 0.229      
9 H 0.212      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.127 3.690 0.000 3.858
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.167 -3.288 0.000
y -3.288 -25.060 0.000
z 0.000 0.000 -31.750
Traceless
 xyz
x 2.238 -3.288 0.000
y -3.288 3.899 0.000
z 0.000 0.000 -6.137
Polar
3z2-r2-12.275
x2-y2-1.107
xy-3.288
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.206 -0.171 0.000
y -0.171 6.910 0.000
z 0.000 0.000 3.281


<r2> (average value of r2) Å2
<r2> 79.263
(<r2>)1/2 8.903