return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: mPW1PW91/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 mPW1PW91/TZVP
 hartrees
Energy at 0K-226.237234
Energy at 298.15K-226.243243
HF Energy-226.237234
Nuclear repulsion energy164.015861
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 mPW1PW91/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' 3701 3530 65.39      
2 A' 3305 3153 0.57      
3 A' 3274 3124 1.26      
4 A' 3272 3122 3.86      
5 A' 1580 1507 13.45      
6 A' 1524 1454 19.53      
7 A' 1455 1388 14.34      
8 A' 1391 1327 6.93      
9 A' 1295 1236 0.56      
10 A' 1187 1132 4.41      
11 A' 1162 1109 3.23      
12 A' 1113 1062 26.92      
13 A' 1089 1039 37.12      
14 A' 954 910 2.38      
15 A' 915 873 6.92      
16 A" 873 833 5.63      
17 A" 817 780 38.72      
18 A" 738 704 40.06      
19 A" 688 656 3.22      
20 A" 650 620 15.85      
21 A" 534 510 88.10      

Unscaled Zero Point Vibrational Energy (zpe) 15758.0 cm-1
Scaled (by 0.954) Zero Point Vibrational Energy (zpe) 15033.2 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 mPW1PW91/TZVP
ABC
0.32866 0.31677 0.16130

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.099 0.000
C2 -1.084 0.281 0.000
C3 1.113 0.298 0.000
N4 -0.738 -0.979 0.000
C5 0.632 -0.979 0.000
H6 -0.010 2.103 0.000
H7 -2.094 0.658 0.000
H8 2.111 0.699 0.000
H9 1.193 -1.899 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35801.37102.20432.17151.00432.14022.14883.2261
C21.35802.19731.30622.12852.11531.07843.22283.1519
C31.37102.19732.24831.36492.12543.22761.07592.1985
N42.20431.30622.24831.36913.16622.12593.30632.1383
C52.17152.12851.36491.36913.14783.17962.23761.0775
H61.00432.11532.12543.16623.14782.53652.54334.1785
H72.14021.07843.22762.12593.17962.53654.20604.1643
H82.14883.22281.07593.30632.23762.54334.20602.7559
H93.22613.15192.19852.13831.07754.17854.16432.7559

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 111.644 N1 C2 H7 122.495
N1 C3 C5 105.062 N1 C3 H8 122.384
C2 N1 C3 107.247 C2 N1 H6 126.484
C2 N4 C5 105.406 C3 N1 H6 126.269
C3 C5 N4 110.641 C3 C5 H9 127.961
N4 C2 H7 125.861 N4 C5 H9 121.398
C5 C3 H8 132.554
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.126      
2 C -0.101      
3 C -0.133      
4 N -0.116      
5 C -0.128      
6 H 0.244      
7 H 0.117      
8 H 0.123      
9 H 0.119      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.153 3.672 0.000 3.848
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.560 -3.366 0.000
y -3.366 -25.521 0.000
z 0.000 0.000 -31.851
Traceless
 xyz
x 2.126 -3.366 0.000
y -3.366 3.685 0.000
z 0.000 0.000 -5.810
Polar
3z2-r2-11.621
x2-y2-1.039
xy-3.366
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.650 -0.075 0.000
y -0.075 7.363 0.000
z 0.000 0.000 4.143


<r2> (average value of r2) Å2
<r2> 79.286
(<r2>)1/2 8.904