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

using model chemistry: PBEPBE/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-225.960971
Energy at 298.15K-225.966829
HF Energy-225.960971
Nuclear repulsion energy162.467552
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/6-31G(2df,p)
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' 3580 3543 35.13      
2 A' 3215 3182 2.10      
3 A' 3187 3154 1.15      
4 A' 3182 3149 5.42      
5 A' 1510 1494 10.48      
6 A' 1466 1451 14.25      
7 A' 1399 1384 11.17      
8 A' 1335 1321 7.06      
9 A' 1240 1227 0.61      
10 A' 1153 1141 3.72      
11 A' 1119 1108 2.70      
12 A' 1074 1063 21.83      
13 A' 1052 1041 24.02      
14 A' 913 904 1.39      
15 A' 871 862 10.39      
16 A" 819 811 8.48      
17 A" 765 757 33.20      
18 A" 692 685 15.66      
19 A" 668 661 1.20      
20 A" 630 624 14.92      
21 A" 514 509 72.52      

Unscaled Zero Point Vibrational Energy (zpe) 15191.7 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 15035.2 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/6-31G(2df,p)
ABC
0.32360 0.30977 0.15827

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.108 0.000
C2 -1.093 0.283 0.000
C3 1.123 0.304 0.000
N4 -0.744 -0.993 0.000
C5 0.636 -0.987 0.000
H6 -0.006 2.122 0.000
H7 -2.111 0.669 0.000
H8 2.125 0.721 0.000
H9 1.205 -1.914 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36961.38132.22912.18921.01402.15562.16033.2533
C21.36962.21671.32332.14592.13591.08803.24843.1798
C31.38132.21672.27381.37932.14043.25431.08552.2193
N42.22911.32332.27381.38083.20132.15193.34282.1562
C52.18922.14591.37931.38083.17443.20762.26571.0878
H61.01402.13592.14043.20133.17442.55672.55094.2138
H72.15561.08803.25432.15193.20762.55674.23624.2034
H82.16033.24841.08553.34282.26572.55094.23622.7909
H93.25333.17982.21932.15621.08784.21384.20342.7909

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 111.736 N1 C2 H7 122.180
N1 C3 C5 104.934 N1 C3 H8 121.803
C2 N1 C3 107.374 C2 N1 H6 126.662
C2 N4 C5 105.020 C3 N1 H6 125.963
C3 C5 N4 110.936 C3 C5 H9 127.803
N4 C2 H7 126.084 N4 C5 H9 121.261
C5 C3 H8 133.263
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.227      
2 C 0.021      
3 C -0.105      
4 N -0.254      
5 C -0.074      
6 H 0.266      
7 H 0.132      
8 H 0.130      
9 H 0.112      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.047 3.420 0.000 3.577
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.263 -2.928 0.000
y -2.928 -24.993 0.000
z 0.000 0.000 -30.896
Traceless
 xyz
x 1.682 -2.928 0.000
y -2.928 3.587 0.000
z 0.000 0.000 -5.269
Polar
3z2-r2-10.537
x2-y2-1.270
xy-2.928
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.547 -0.213 0.000
y -0.213 7.204 0.000
z 0.000 0.000 3.161


<r2> (average value of r2) Å2
<r2> 80.087
(<r2>)1/2 8.949