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

using model chemistry: HSEh1PBE/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-226.059416
Energy at 298.15K-226.065459
HF Energy-226.059416
Nuclear repulsion energy164.100760
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/aug-cc-pVTZ
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' 3690 3549 60.92      
2 A' 3292 3166 0.69      
3 A' 3262 3137 0.58      
4 A' 3259 3135 4.09      
5 A' 1574 1514 12.14      
6 A' 1520 1462 19.15      
7 A' 1452 1397 12.98      
8 A' 1387 1334 6.36      
9 A' 1288 1238 0.42      
10 A' 1189 1143 4.10      
11 A' 1154 1110 3.19      
12 A' 1107 1065 23.01      
13 A' 1085 1043 32.69      
14 A' 949 913 1.50      
15 A' 907 873 7.21      
16 A" 892 858 3.17      
17 A" 836 804 33.57      
18 A" 750 721 42.46      
19 A" 689 663 3.80      
20 A" 654 629 11.77      
21 A" 558 536 90.70      

Unscaled Zero Point Vibrational Energy (zpe) 15745.9 cm-1
Scaled (by 0.9618) Zero Point Vibrational Energy (zpe) 15144.4 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/aug-cc-pVTZ
ABC
0.32877 0.31734 0.16148

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/aug-cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.097 0.000
C2 -1.084 0.282 0.000
C3 1.112 0.298 0.000
N4 -0.737 -0.978 0.000
C5 0.631 -0.980 0.000
H6 -0.010 2.101 0.000
H7 -2.093 0.661 0.000
H8 2.110 0.700 0.000
H9 1.195 -1.899 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35601.36932.20192.17061.00362.13832.14723.2251
C21.35602.19561.30672.12922.11211.07863.22093.1537
C31.36932.19562.24631.36502.12303.22581.07612.1980
N42.20191.30672.24631.36843.16322.12753.30462.1400
C52.17062.12921.36501.36843.14633.18082.23761.0778
H61.00362.11212.12303.16323.14632.53262.54084.1766
H72.13831.07863.22582.12753.18082.53264.20374.1671
H82.14723.22091.07613.30462.23762.54084.20372.7548
H93.22513.15372.19802.14001.07784.17664.16712.7548

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 111.564 N1 C2 H7 122.466
N1 C3 C5 105.098 N1 C3 H8 122.367
C2 N1 C3 107.344 C2 N1 H6 126.401
C2 N4 C5 105.463 C3 N1 H6 126.255
C3 C5 N4 110.530 C3 C5 H9 127.880
N4 C2 H7 125.969 N4 C5 H9 121.590
C5 C3 H8 132.535
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.063      
2 C -0.442      
3 C -0.435      
4 N -0.466      
5 C -0.181      
6 H 0.057      
7 H 0.492      
8 H 0.444      
9 H 0.470      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.126 3.558 0.000 3.732
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.840 -3.332 0.000
y -3.332 -25.836 0.000
z 0.000 0.000 -31.932
Traceless
 xyz
x 2.045 -3.332 0.000
y -3.332 3.550 0.000
z 0.000 0.000 -5.594
Polar
3z2-r2-11.189
x2-y2-1.003
xy-3.332
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.491 -0.084 0.000
y -0.084 8.098 0.000
z 0.000 0.000 4.960


<r2> (average value of r2) Å2
<r2> 79.365
(<r2>)1/2 8.909