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

using model chemistry: B3LYP/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 B3LYP/cc-pVDZ
 hartrees
Energy at 0K-226.231998
Energy at 298.15K-226.237959
HF Energy-226.231998
Nuclear repulsion energy162.740372
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 B3LYP/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' 3640 3530 51.26      
2 A' 3278 3179 1.43      
3 A' 3246 3149 0.74      
4 A' 3242 3144 6.16      
5 A' 1557 1510 10.49      
6 A' 1505 1459 16.73      
7 A' 1442 1399 10.53      
8 A' 1368 1327 6.24      
9 A' 1268 1230 0.61      
10 A' 1173 1138 4.62      
11 A' 1136 1102 2.78      
12 A' 1088 1055 21.53      
13 A' 1070 1038 31.91      
14 A' 939 911 1.94      
15 A' 902 875 8.87      
16 A" 864 838 3.34      
17 A" 808 784 30.24      
18 A" 727 705 26.31      
19 A" 682 662 2.54      
20 A" 647 628 11.61      
21 A" 519 503 81.11      

Unscaled Zero Point Vibrational Energy (zpe) 15550.4 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 15083.9 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 B3LYP/cc-pVDZ
ABC
0.32430 0.31121 0.15881

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.107 0.000
C2 -1.091 0.282 0.000
C3 1.122 0.302 0.000
N4 -0.744 -0.989 0.000
C5 0.635 -0.986 0.000
H6 -0.011 2.119 0.000
H7 -2.110 0.666 0.000
H8 2.127 0.711 0.000
H9 1.204 -1.913 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36791.38022.22392.18681.01192.15532.16383.2513
C21.36792.21281.31772.14182.13091.08833.24703.1759
C31.38022.21282.26851.37672.14043.25151.08582.2171
N42.22391.31772.26851.37893.19302.14573.33672.1557
C52.18682.14181.37671.37893.17093.20332.25961.0881
H61.01192.13092.14043.19303.17092.55272.55984.2110
H72.15531.08833.25152.14573.20332.55274.23724.1989
H82.16383.24701.08583.33672.25962.55984.23722.7823
H93.25133.17592.21712.15571.08814.21104.19892.7823

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 111.794 N1 C2 H7 122.270
N1 C3 C5 104.974 N1 C3 H8 122.215
C2 N1 C3 107.254 C2 N1 H6 126.474
C2 N4 C5 105.155 C3 N1 H6 126.272
C3 C5 N4 110.823 C3 C5 H9 127.807
N4 C2 H7 125.936 N4 C5 H9 121.369
C5 C3 H8 132.810
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.053      
2 C 0.129      
3 C 0.025      
4 N -0.205      
5 C 0.032      
6 H 0.089      
7 H 0.007      
8 H -0.005      
9 H -0.019      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.006 3.498 0.000 3.640
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.629 -2.938 0.000
y -2.938 -25.282 0.000
z 0.000 0.000 -31.220
Traceless
 xyz
x 1.622 -2.938 0.000
y -2.938 3.643 0.000
z 0.000 0.000 -5.265
Polar
3z2-r2-10.530
x2-y2-1.347
xy-2.938
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.401 -0.253 0.000
y -0.253 6.992 0.000
z 0.000 0.000 2.944


<r2> (average value of r2) Å2
<r2> 80.093
(<r2>)1/2 8.949