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

using model chemistry: mPW1PW91/aug-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 mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-226.196837
Energy at 298.15K-226.202870
HF Energy-226.196837
Nuclear repulsion energy163.403892
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/aug-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' 3697 3543 60.13      
2 A' 3310 3172 0.86      
3 A' 3282 3145 0.80      
4 A' 3277 3141 4.09      
5 A' 1576 1510 10.78      
6 A' 1522 1459 20.34      
7 A' 1465 1404 11.84      
8 A' 1392 1334 6.01      
9 A' 1283 1229 0.53      
10 A' 1194 1144 3.48      
11 A' 1152 1104 3.53      
12 A' 1106 1060 25.95      
13 A' 1085 1039 31.11      
14 A' 946 906 1.57      
15 A' 905 868 6.81      
16 A" 877 841 4.04      
17 A" 830 796 36.76      
18 A" 742 711 43.58      
19 A" 686 657 3.33      
20 A" 652 625 14.02      
21 A" 560 536 87.57      

Unscaled Zero Point Vibrational Energy (zpe) 15768.7 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 15111.1 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/aug-cc-pVDZ
ABC
0.32638 0.31430 0.16011

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.101 0.000
C2 -1.087 0.283 0.000
C3 1.117 0.301 0.000
N4 -0.740 -0.983 0.000
C5 0.633 -0.984 0.000
H6 -0.011 2.108 0.000
H7 -2.102 0.664 0.000
H8 2.121 0.705 0.000
H9 1.200 -1.908 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36081.37392.21212.17901.00702.14732.15723.2395
C21.36082.20411.31342.13662.11871.08403.23563.1677
C31.37392.20412.25731.37252.13063.23941.08242.2100
N42.21211.31342.25731.37293.17632.13793.32172.1492
C52.17902.13661.37251.37293.15843.19342.25071.0842
H61.00702.11872.13063.17633.15842.54122.55214.1947
H72.14731.08403.23942.13793.19342.54124.22314.1859
H82.15723.23561.08243.32172.25072.55214.22312.7701
H93.23953.16772.21002.14921.08424.19474.18592.7701

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 111.608 N1 C2 H7 122.474
N1 C3 C5 105.007 N1 C3 H8 122.418
C2 N1 C3 107.409 C2 N1 H6 126.306
C2 N4 C5 105.362 C3 N1 H6 126.286
C3 C5 N4 110.614 C3 C5 H9 127.811
N4 C2 H7 125.918 N4 C5 H9 121.575
C5 C3 H8 132.575
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.228      
2 C 0.509      
3 C 0.705      
4 N -0.486      
5 C 0.391      
6 H -0.117      
7 H -0.166      
8 H -0.325      
9 H -0.282      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.137 3.577 0.000 3.753
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.759 -3.386 0.000
y -3.386 -25.803 0.000
z 0.000 0.000 -32.060
Traceless
 xyz
x 2.173 -3.386 0.000
y -3.386 3.606 0.000
z 0.000 0.000 -5.779
Polar
3z2-r2-11.558
x2-y2-0.956
xy-3.386
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.496 -0.075 0.000
y -0.075 8.100 0.000
z 0.000 0.000 4.980


<r2> (average value of r2) Å2
<r2> 79.899
(<r2>)1/2 8.939