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

using model chemistry: B3LYPultrafine/cc-pVTZ

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-pVTZ
 hartrees
Energy at 0K-226.301323
Energy at 298.15K-226.307317
HF Energy-226.301323
Nuclear repulsion energy163.589180
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-pVTZ
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' 3656 3534 52.00      
2 A' 3272 3163 1.57      
3 A' 3242 3134 0.24      
4 A' 3240 3132 6.08      
5 A' 1559 1507 11.61      
6 A' 1502 1452 15.52      
7 A' 1431 1384 13.80      
8 A' 1365 1320 6.12      
9 A' 1287 1244 0.36      
10 A' 1161 1123 4.68      
11 A' 1146 1108 2.54      
12 A' 1095 1059 16.49      
13 A' 1075 1039 38.64      
14 A' 947 916 1.50      
15 A' 909 879 8.99      
16 A" 880 850 3.65      
17 A" 824 796 31.04      
18 A" 737 713 36.21      
19 A" 685 662 5.56      
20 A" 648 627 8.24      
21 A" 526 509 88.54      

Unscaled Zero Point Vibrational Energy (zpe) 15593.8 cm-1
Scaled (by 0.9667) Zero Point Vibrational Energy (zpe) 15074.6 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-pVTZ
ABC
0.32642 0.31547 0.16042

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.102 0.000
C2 -1.088 0.282 0.000
C3 1.116 0.297 0.000
N4 -0.740 -0.981 0.000
C5 0.635 -0.982 0.000
H6 -0.008 2.106 0.000
H7 -2.097 0.661 0.000
H8 2.113 0.699 0.000
H9 1.196 -1.900 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36241.37592.20982.17811.00472.14272.15163.2316
C21.36242.20491.31002.13712.11991.07733.22893.1597
C31.37592.20492.25371.36702.13013.23381.07482.1992
N42.20981.31002.25371.37463.17242.13003.31082.1436
C52.17812.13711.36701.37463.15453.18772.23851.0766
H61.00472.11992.13013.17243.15452.53982.54644.1838
H72.14271.07733.23382.13003.18772.53984.21064.1721
H82.15163.22891.07483.31082.23852.54644.21062.7560
H93.23163.15972.19922.14361.07664.18384.17212.7560

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 111.547 N1 C2 H7 122.430
N1 C3 C5 105.137 N1 C3 H8 122.314
C2 N1 C3 107.255 C2 N1 H6 126.496
C2 N4 C5 105.483 C3 N1 H6 126.249
C3 C5 N4 110.579 C3 C5 H9 127.919
N4 C2 H7 126.023 N4 C5 H9 121.502
C5 C3 H8 132.550
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.047      
2 C -0.029      
3 C -0.128      
4 N -0.208      
5 C -0.103      
6 H 0.154      
7 H 0.120      
8 H 0.124      
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
  1.100 3.525 0.000 3.692
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.800 -3.216 0.000
y -3.216 -25.747 0.000
z 0.000 0.000 -31.710
Traceless
 xyz
x 1.929 -3.216 0.000
y -3.216 3.508 0.000
z 0.000 0.000 -5.436
Polar
3z2-r2-10.872
x2-y2-1.053
xy-3.216
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.835 -0.155 0.000
y -0.155 7.478 0.000
z 0.000 0.000 3.996


<r2> (average value of r2) Å2
<r2> 79.665
(<r2>)1/2 8.926