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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/TZVP
 hartrees
Energy at 0K-226.021936
Energy at 298.15K-226.027785
HF Energy-226.021936
Nuclear repulsion energy162.521661
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 PBEPBEultrafine/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' 3559 3519 39.76      
2 A' 3208 3171 1.12      
3 A' 3180 3144 0.30      
4 A' 3178 3142 4.93      
5 A' 1507 1490 9.79      
6 A' 1456 1439 16.44      
7 A' 1387 1372 12.36      
8 A' 1329 1314 6.08      
9 A' 1242 1228 0.42      
10 A' 1142 1129 3.67      
11 A' 1116 1103 3.74      
12 A' 1070 1058 26.79      
13 A' 1048 1036 30.62      
14 A' 917 907 2.34      
15 A' 877 867 8.10      
16 A" 816 807 9.40      
17 A" 755 746 49.58      
18 A" 691 683 27.81      
19 A" 664 656 2.35      
20 A" 625 618 15.63      
21 A" 503 497 76.91      

Unscaled Zero Point Vibrational Energy (zpe) 15134.6 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 14962.1 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 PBEPBEultrafine/TZVP
ABC
0.32322 0.31053 0.15838

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.110 0.000
C2 -1.093 0.283 0.000
C3 1.123 0.299 0.000
N4 -0.745 -0.986 0.000
C5 0.638 -0.989 0.000
H6 -0.008 2.124 0.000
H7 -2.112 0.666 0.000
H8 2.129 0.705 0.000
H9 1.202 -1.918 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37081.38472.22432.19381.01422.15802.16693.2574
C21.37082.21591.31572.14872.13711.08813.24953.1796
C31.38472.21592.26721.37622.14683.25511.08472.2185
N42.22431.31572.26721.38363.19612.14383.33422.1584
C52.19382.14871.37621.38363.17953.20982.25591.0862
H61.01422.13712.14683.19613.17952.55962.56534.2191
H72.15801.08813.25512.14383.20982.55964.24074.2017
H82.16693.24951.08473.33422.25592.56534.24072.7815
H93.25743.17962.21852.15841.08624.21914.20172.7815

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 111.761 N1 C2 H7 122.294
N1 C3 C5 105.237 N1 C3 H8 122.221
C2 N1 C3 107.064 C2 N1 H6 126.641
C2 N4 C5 105.472 C3 N1 H6 126.295
C3 C5 N4 110.467 C3 C5 H9 128.172
N4 C2 H7 125.946 N4 C5 H9 121.361
C5 C3 H8 132.542
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.112      
2 C -0.124      
3 C -0.122      
4 N -0.081      
5 C -0.146      
6 H 0.236      
7 H 0.114      
8 H 0.118      
9 H 0.118      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.134 3.595 0.000 3.769
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.949 -3.280 0.000
y -3.280 -25.823 0.000
z 0.000 0.000 -32.096
Traceless
 xyz
x 2.011 -3.280 0.000
y -3.280 3.699 0.000
z 0.000 0.000 -5.710
Polar
3z2-r2-11.419
x2-y2-1.126
xy-3.280
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.095 -0.069 0.000
y -0.069 7.783 0.000
z 0.000 0.000 4.249


<r2> (average value of r2) Å2
<r2> 80.614
(<r2>)1/2 8.979