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

using model chemistry: mPW1PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-226.180467
Energy at 298.15K-226.186483
HF Energy-226.180467
Nuclear repulsion energy163.930940
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 mPW1PW91/6-31G(2df,p)
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' 3719 3550 60.02      
2 A' 3311 3161 1.40      
3 A' 3280 3131 0.46      
4 A' 3277 3128 5.91      
5 A' 1583 1511 14.16      
6 A' 1532 1463 16.49      
7 A' 1464 1398 13.55      
8 A' 1395 1332 7.74      
9 A' 1292 1234 0.63      
10 A' 1195 1140 4.34      
11 A' 1164 1111 2.23      
12 A' 1116 1065 21.94      
13 A' 1093 1043 30.69      
14 A' 949 906 1.49      
15 A' 908 867 9.02      
16 A" 877 837 4.51      
17 A" 828 791 27.11      
18 A" 742 708 25.80      
19 A" 692 661 2.62      
20 A" 655 625 13.79      
21 A" 544 519 86.34      

Unscaled Zero Point Vibrational Energy (zpe) 15807.3 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 15091.2 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 mPW1PW91/6-31G(2df,p)
ABC
0.32887 0.31590 0.16113

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.102 0.000
C2 -1.082 0.280 0.000
C3 1.113 0.298 0.000
N4 -0.741 -0.980 0.000
C5 0.633 -0.981 0.000
H6 -0.010 2.105 0.000
H7 -2.092 0.663 0.000
H8 2.111 0.703 0.000
H9 1.194 -1.902 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35831.37332.21012.17631.00362.13752.14873.2325
C21.35832.19511.30562.12822.11641.08063.22093.1529
C31.37332.19512.25241.36542.12833.22621.07712.2014
N42.21011.30562.25241.37443.17102.12733.31222.1436
C52.17632.12821.36541.37443.15203.18242.24021.0790
H61.00362.11642.12833.17103.15202.53252.54324.1845
H72.13751.08063.22622.12733.18242.53254.20364.1688
H82.14873.22091.07713.31222.24022.54324.20362.7618
H93.23253.15292.20142.14361.07904.18454.16882.7618

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 112.108 N1 C2 H7 122.015
N1 C3 C5 105.240 N1 C3 H8 122.073
C2 N1 C3 106.945 C2 N1 H6 126.634
C2 N4 C5 105.117 C3 N1 H6 126.421
C3 C5 N4 110.589 C3 C5 H9 128.085
N4 C2 H7 125.877 N4 C5 H9 121.326
C5 C3 H8 132.687
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.277      
2 C 0.025      
3 C -0.118      
4 N -0.279      
5 C -0.092      
6 H 0.291      
7 H 0.156      
8 H 0.155      
9 H 0.138      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.079 3.500 0.000 3.662
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.920 -3.072 0.000
y -3.072 -24.791 0.000
z 0.000 0.000 -30.864
Traceless
 xyz
x 1.907 -3.072 0.000
y -3.072 3.601 0.000
z 0.000 0.000 -5.508
Polar
3z2-r2-11.017
x2-y2-1.129
xy-3.072
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.231 -0.200 0.000
y -0.200 6.913 0.000
z 0.000 0.000 3.135


<r2> (average value of r2) Å2
<r2> 78.855
(<r2>)1/2 8.880