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

using model chemistry: HSEh1PBE/3-21G*

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/3-21G*
 hartrees
Energy at 0K-224.718580
Energy at 298.15K-224.724695
HF Energy-224.718580
Nuclear repulsion energy162.121775
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/3-21G*
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' 3632 3486 63.14      
2 A' 3342 3208 0.65      
3 A' 3317 3184 0.02      
4 A' 3314 3181 2.85      
5 A' 1550 1488 21.86      
6 A' 1482 1423 6.63      
7 A' 1414 1357 11.88      
8 A' 1346 1292 10.83      
9 A' 1290 1238 0.65      
10 A' 1168 1121 0.69      
11 A' 1132 1086 16.59      
12 A' 1106 1062 15.97      
13 A' 1068 1025 27.08      
14 A' 971 933 3.50      
15 A' 928 891 10.64      
16 A" 932 895 2.84      
17 A" 866 831 23.76      
18 A" 788 757 37.07      
19 A" 694 666 3.44      
20 A" 673 646 146.17      
21 A" 656 630 42.92      

Unscaled Zero Point Vibrational Energy (zpe) 15833.9 cm-1
Scaled (by 0.9599) Zero Point Vibrational Energy (zpe) 15199.0 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/3-21G*
ABC
0.31906 0.31096 0.15748

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.111 0.000
C2 -1.104 0.287 0.000
C3 1.125 0.298 0.000
N4 -0.748 -0.989 0.000
C5 0.648 -0.989 0.000
H6 0.001 2.122 0.000
H7 -2.112 0.664 0.000
H8 2.125 0.692 0.000
H9 1.209 -1.907 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37751.38812.22902.19771.01072.15892.16623.2508
C21.37752.22911.32482.16772.14151.07593.25473.1881
C31.38812.22912.27231.37252.14243.25771.07522.2061
N42.22901.32482.27231.39593.19932.14273.32882.1615
C52.19772.16771.37251.39593.17733.21702.23811.0755
H61.01072.14152.14243.19933.17732.56732.56054.2056
H72.15891.07593.25772.14273.21702.56734.23754.1994
H82.16623.25471.07523.32882.23812.56054.23752.7557
H93.25083.18812.20612.16151.07554.20564.19942.7557

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 111.127 N1 C2 H7 122.807
N1 C3 C5 105.520 N1 C3 H8 122.625
C2 N1 C3 107.419 C2 N1 H6 126.777
C2 N4 C5 105.610 C3 N1 H6 125.804
C3 C5 N4 110.325 C3 C5 H9 128.222
N4 C2 H7 126.066 N4 C5 H9 121.453
C5 C3 H8 131.855
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.740      
2 C 0.271      
3 C 0.015      
4 N -0.519      
5 C -0.095      
6 H 0.349      
7 H 0.251      
8 H 0.241      
9 H 0.227      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.219 3.714 0.000 3.909
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.891 -3.392 0.000
y -3.392 -25.111 0.000
z 0.000 0.000 -31.895
Traceless
 xyz
x 2.612 -3.392 0.000
y -3.392 3.782 0.000
z 0.000 0.000 -6.394
Polar
3z2-r2-12.788
x2-y2-0.780
xy-3.392
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.522 -0.265 0.000
y -0.265 6.229 0.000
z 0.000 0.000 1.912


<r2> (average value of r2) Å2
<r2> 80.478
(<r2>)1/2 8.971