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

using model chemistry: HSEh1PBE/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-225.994261
Energy at 298.15K-226.000263
HF Energy-225.994261
Nuclear repulsion energy163.384180
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/cc-pVDZ
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' 3684 3543 62.28      
2 A' 3307 3181 0.74      
3 A' 3275 3150 0.80      
4 A' 3269 3145 4.92      
5 A' 1580 1519 12.24      
6 A' 1531 1472 17.14      
7 A' 1472 1416 8.99      
8 A' 1396 1343 7.04      
9 A' 1274 1225 1.09      
10 A' 1204 1158 3.80      
11 A' 1149 1105 2.80      
12 A' 1103 1061 29.61      
13 A' 1083 1041 26.80      
14 A' 944 908 2.19      
15 A' 905 870 8.29      
16 A" 874 840 3.44      
17 A" 820 788 31.76      
18 A" 735 707 31.02      
19 A" 689 663 2.69      
20 A" 654 629 12.40      
21 A" 534 514 84.82      

Unscaled Zero Point Vibrational Energy (zpe) 15739.3 cm-1
Scaled (by 0.9619) Zero Point Vibrational Energy (zpe) 15139.6 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/cc-pVDZ
ABC
0.32727 0.31345 0.16011

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.102 0.000
C2 -1.085 0.281 0.000
C3 1.116 0.303 0.000
N4 -0.740 -0.986 0.000
C5 0.631 -0.982 0.000
H6 -0.011 2.112 0.000
H7 -2.104 0.664 0.000
H8 2.122 0.711 0.000
H9 1.201 -1.909 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36041.37292.21482.17741.01002.14852.15773.2411
C21.36042.20181.31332.13152.12211.08793.23603.1660
C31.37292.20182.25991.37342.13183.24031.08542.2130
N42.21481.31332.25991.37153.18202.14053.32742.1495
C52.17742.13151.37341.37153.15993.19232.25601.0877
H61.01002.12212.13183.18203.15992.54392.55224.1992
H72.14851.08793.24032.14053.19232.54394.22594.1883
H82.15773.23601.08543.32742.25602.55224.22592.7769
H93.24113.16602.21302.14951.08774.19924.18832.7769

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 111.851 N1 C2 H7 122.300
N1 C3 C5 104.905 N1 C3 H8 122.306
C2 N1 C3 107.324 C2 N1 H6 126.436
C2 N4 C5 105.083 C3 N1 H6 126.241
C3 C5 N4 110.837 C3 C5 H9 127.722
N4 C2 H7 125.849 N4 C5 H9 121.441
C5 C3 H8 132.789
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.096      
2 C 0.140      
3 C 0.008      
4 N -0.239      
5 C 0.009      
6 H 0.105      
7 H 0.036      
8 H 0.025      
9 H 0.011      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.015 3.550 0.000 3.692
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.362 -2.996 0.000
y -2.996 -25.034 0.000
z 0.000 0.000 -31.298
Traceless
 xyz
x 1.804 -2.996 0.000
y -2.996 3.796 0.000
z 0.000 0.000 -5.600
Polar
3z2-r2-11.200
x2-y2-1.328
xy-2.996
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.324 -0.236 0.000
y -0.236 6.911 0.000
z 0.000 0.000 2.967


<r2> (average value of r2) Å2
<r2> 79.520
(<r2>)1/2 8.917