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

using model chemistry: PBEPBE/TZVP

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/TZVP
 hartrees
Energy at 0K-226.021935
Energy at 298.15K-226.027787
HF Energy-226.021935
Nuclear repulsion energy162.540800
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/TZVP
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' 3561 3521 39.79      
2 A' 3210 3174 1.10      
3 A' 3182 3146 0.34      
4 A' 3179 3143 4.95      
5 A' 1507 1490 9.84      
6 A' 1456 1440 16.42      
7 A' 1388 1373 12.18      
8 A' 1329 1314 6.18      
9 A' 1242 1228 0.43      
10 A' 1143 1130 3.71      
11 A' 1117 1104 3.72      
12 A' 1070 1058 26.89      
13 A' 1048 1037 30.48      
14 A' 918 907 2.32      
15 A' 877 868 8.15      
16 A" 816 807 9.13      
17 A" 755 746 49.99      
18 A" 692 684 27.93      
19 A" 663 656 2.14      
20 A" 626 619 16.44      
21 A" 505 500 76.25      

Unscaled Zero Point Vibrational Energy (zpe) 15140.6 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 14971.0 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 PBEPBE/TZVP
ABC
0.32330 0.31061 0.15841

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.108 0.000
C2 -1.095 0.283 0.000
C3 1.123 0.303 0.000
N4 -0.743 -0.990 0.000
C5 0.637 -0.987 0.000
H6 -0.007 2.123 0.000
H7 -2.113 0.663 0.000
H8 2.127 0.712 0.000
H9 1.203 -1.914 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37111.38182.22592.18921.01482.15902.16373.2523
C21.37112.21781.32082.14702.13791.08683.25053.1786
C31.38182.21782.26981.37772.14213.25561.08462.2177
N42.22591.32082.26981.37973.19902.14753.33692.1537
C52.18922.14701.37771.37973.17523.20672.25971.0862
H61.01482.13792.14213.19903.17522.56242.55794.2137
H72.15901.08683.25562.14753.20672.56244.24024.1994
H82.16373.25051.08463.33692.25972.55794.24022.7836
H93.25233.17862.21772.15371.08624.21374.19942.7836

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 111.550 N1 C2 H7 122.478
N1 C3 C5 104.998 N1 C3 H8 122.169
C2 N1 C3 107.338 C2 N1 H6 126.640
C2 N4 C5 105.303 C3 N1 H6 126.022
C3 C5 N4 110.811 C3 C5 H9 127.938
N4 C2 H7 125.972 N4 C5 H9 121.251
C5 C3 H8 132.833
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.112      
2 C -0.125      
3 C -0.122      
4 N -0.081      
5 C -0.146      
6 H 0.236      
7 H 0.114      
8 H 0.117      
9 H 0.117      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.134 3.594 0.000 3.769
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.951 -3.280 0.000
y -3.280 -25.822 0.000
z 0.000 0.000 -32.094
Traceless
 xyz
x 2.007 -3.280 0.000
y -3.280 3.701 0.000
z 0.000 0.000 -5.708
Polar
3z2-r2-11.415
x2-y2-1.129
xy-3.280
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.096 -0.068 0.000
y -0.068 7.781 0.000
z 0.000 0.000 4.249


<r2> (average value of r2) Å2
<r2> 80.600
(<r2>)1/2 8.978