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

using model chemistry: HSEh1PBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-225.992953
Energy at 298.15K-225.998947
HF Energy-225.992953
Nuclear repulsion energy163.537875
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 HSEh1PBE/6-31+G**
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' 3710 3542 65.34      
2 A' 3317 3167 0.73      
3 A' 3291 3142 0.99      
4 A' 3286 3137 4.21      
5 A' 1584 1512 14.10      
6 A' 1530 1460 23.03      
7 A' 1467 1401 13.90      
8 A' 1401 1338 7.48      
9 A' 1291 1232 0.74      
10 A' 1197 1143 3.82      
11 A' 1162 1110 3.61      
12 A' 1115 1064 30.38      
13 A' 1090 1041 32.59      
14 A' 946 903 2.39      
15 A' 906 865 5.93      
16 A" 877 838 5.28      
17 A" 821 784 43.11      
18 A" 736 702 47.24      
19 A" 684 653 3.86      
20 A" 647 618 14.68      
21 A" 540 516 99.47      

Unscaled Zero Point Vibrational Energy (zpe) 15797.6 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 15083.5 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 HSEh1PBE/6-31+G**
ABC
0.32714 0.31454 0.16036

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.101 0.000
C2 -1.087 0.282 0.000
C3 1.116 0.301 0.000
N4 -0.739 -0.983 0.000
C5 0.632 -0.982 0.000
H6 -0.011 2.108 0.000
H7 -2.099 0.661 0.000
H8 2.117 0.704 0.000
H9 1.196 -1.904 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36091.37352.21152.17761.00702.14522.15413.2349
C21.36092.20291.31212.13402.11941.08113.23153.1611
C31.37352.20292.25611.37152.13013.23561.07912.2066
N42.21151.31212.25611.37133.17592.13373.31722.1434
C52.17762.13401.37151.37133.15693.18782.24701.0807
H61.00702.11942.13013.17593.15692.54102.54974.1903
H72.14521.08113.23562.13373.18782.54104.21684.1762
H82.15413.23151.07913.31722.24702.54974.21682.7661
H93.23493.16112.20662.14341.08074.19034.17622.7661

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 111.643 N1 C2 H7 122.493
N1 C3 C5 104.987 N1 C3 H8 122.416
C2 N1 C3 107.344 C2 N1 H6 126.380
C2 N4 C5 105.341 C3 N1 H6 126.275
C3 C5 N4 110.684 C3 C5 H9 127.882
N4 C2 H7 125.864 N4 C5 H9 121.434
C5 C3 H8 132.597
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.353      
2 C 0.047      
3 C -0.111      
4 N -0.294      
5 C -0.109      
6 H 0.323      
7 H 0.166      
8 H 0.174      
9 H 0.157      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.191 3.707 0.000 3.894
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.744 -3.494 0.000
y -3.494 -25.766 0.000
z 0.000 0.000 -32.337
Traceless
 xyz
x 2.307 -3.494 0.000
y -3.494 3.775 0.000
z 0.000 0.000 -6.082
Polar
3z2-r2-12.164
x2-y2-0.979
xy-3.494
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.980 0.012 0.000
y 0.012 7.701 0.000
z 0.000 0.000 4.522


<r2> (average value of r2) Å2
<r2> 79.838
(<r2>)1/2 8.935