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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/cc-pVDZ
 hartrees
Energy at 0K-226.232002
Energy at 298.15K-226.237962
HF Energy-226.232002
Nuclear repulsion energy162.743839
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 B3LYPultrafine/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 3531 51.26      
2 A' 3276 3178 1.45      
3 A' 3245 3148 0.67      
4 A' 3241 3144 6.21      
5 A' 1558 1511 10.49      
6 A' 1505 1460 16.76      
7 A' 1442 1399 10.53      
8 A' 1368 1327 6.22      
9 A' 1268 1230 0.62      
10 A' 1173 1138 4.57      
11 A' 1136 1102 2.83      
12 A' 1088 1055 21.42      
13 A' 1070 1038 32.00      
14 A' 939 911 1.95      
15 A' 902 875 8.85      
16 A" 864 838 3.37      
17 A" 808 784 30.15      
18 A" 727 705 26.27      
19 A" 682 662 2.69      
20 A" 647 627 11.22      
21 A" 517 501 81.42      

Unscaled Zero Point Vibrational Energy (zpe) 15548.8 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 15082.4 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 B3LYPultrafine/cc-pVDZ
ABC
0.32431 0.31122 0.15882

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/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 1.121 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 0.665 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
N11.36791.38032.22392.18681.01182.15532.16373.2512
C21.36792.21271.31762.14182.13091.08833.24693.1759
C31.38032.21272.26851.37662.14043.25151.08582.2170
N42.22391.31762.26851.37883.19292.14563.33662.1557
C52.18682.14181.37661.37883.17083.20322.25961.0880
H61.01182.13092.14043.19293.17082.55282.55974.2109
H72.15531.08833.25152.14563.20322.55284.23724.1988
H82.16373.24691.08583.33662.25962.55974.23722.7822
H93.25123.17592.21702.15571.08804.21094.19882.7822

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 111.797 N1 C2 H7 122.274
N1 C3 C5 104.974 N1 C3 H8 122.212
C2 N1 C3 107.252 C2 N1 H6 126.476
C2 N4 C5 105.152 C3 N1 H6 126.272
C3 C5 N4 110.825 C3 C5 H9 127.807
N4 C2 H7 125.929 N4 C5 H9 121.368
C5 C3 H8 132.813
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/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 0.031      
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 -26.630 -2.938 0.000
y -2.938 -25.282 0.000
z 0.000 0.000 -31.220
Traceless
 xyz
x 1.621 -2.938 0.000
y -2.938 3.643 0.000
z 0.000 0.000 -5.264
Polar
3z2-r2-10.528
x2-y2-1.348
xy-2.938
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.400 -0.252 0.000
y -0.252 6.992 0.000
z 0.000 0.000 2.944


<r2> (average value of r2) Å2
<r2> 80.090
(<r2>)1/2 8.949