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

using model chemistry: PBEPBE/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-226.035796
Energy at 298.15K-226.041675
HF Energy-226.035796
Nuclear repulsion energy162.713816
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 PBEPBE/Def2TZVPP
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' 3565 3522 37.41      
2 A' 3204 3166 1.58      
3 A' 3177 3139 0.61      
4 A' 3173 3135 5.09      
5 A' 1506 1488 9.16      
6 A' 1458 1440 15.18      
7 A' 1393 1376 10.88      
8 A' 1331 1314 5.87      
9 A' 1240 1225 0.35      
10 A' 1148 1134 3.54      
11 A' 1113 1100 3.27      
12 A' 1068 1056 23.59      
13 A' 1048 1036 27.41      
14 A' 916 905 1.63      
15 A' 874 863 9.12      
16 A" 837 827 5.65      
17 A" 774 765 41.65      
18 A" 705 696 31.60      
19 A" 666 658 2.62      
20 A" 631 624 11.27      
21 A" 521 515 77.64      

Unscaled Zero Point Vibrational Energy (zpe) 15174.8 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 14991.2 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 PBEPBE/Def2TZVPP
ABC
0.32390 0.31137 0.15876

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.742 -0.988 0.000
H2 -0.007 2.118 0.000
C3 1.121 0.301 0.000
H4 2.125 0.710 0.000
C5 0.637 -0.987 0.000
H6 1.204 -1.914 0.000
H7 -2.111 0.668 0.000
C8 -1.095 0.285 0.000
N9 0.000 1.105 0.000

Atom - Atom Distances (Å)
  N1 H2 C3 H4 C5 H6 H7 C8 N9
N13.19222.26603.33231.37882.15452.14901.32132.2209
H23.19222.13892.55523.17204.20992.55522.13131.0131
C32.26602.13891.08381.37692.21663.25322.21601.3797
H43.33232.55521.08382.25772.78114.23633.24762.1614
C51.37883.17201.37692.25771.08583.20832.14902.1875
H62.15454.20992.21662.78111.08584.20163.18073.2500
H72.14902.55523.25324.23633.20834.20161.08632.1558
C81.32132.13132.21603.24762.14903.18071.08631.3677
N92.22091.01311.37972.16142.18753.25002.15581.3677

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 69.869 N1 C2 H7 42.118
N1 C3 C5 34.715 N1 C3 H8 34.268
C2 N1 C3 42.008 C2 N1 H6 102.135
C2 N4 C5 82.204 C3 N1 H6 60.127
C3 C5 N4 20.634 C3 C5 H9 37.527
N4 C2 H7 111.986 N4 C5 H9 58.160
C5 C3 H8 68.983
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.227      
2 H 0.172      
3 C -0.101      
4 H 0.131      
5 C -0.119      
6 H 0.114      
7 H 0.122      
8 C 0.004      
9 N -0.095      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.095 3.508 0.000 3.675
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.987 -3.190 0.000
y -3.190 -25.803 0.000
z 0.000 0.000 -31.911
Traceless
 xyz
x 1.870 -3.190 0.000
y -3.190 3.646 0.000
z 0.000 0.000 -5.516
Polar
3z2-r2-11.032
x2-y2-1.184
xy-3.190
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.340 -0.102 0.000
y -0.102 7.967 0.000
z 0.000 0.000 4.474


<r2> (average value of r2) Å2
<r2> 80.433
(<r2>)1/2 8.968