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 (2H-Imidazole)

using model chemistry: mPW1PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-226.119147
Energy at 298.15K-226.125193
HF Energy-226.119147
Nuclear repulsion energy167.262046
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 mPW1PW91/6-311G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3240 3100 15.31      
2 A1 3080 2947 0.08      
3 A1 1732 1657 18.26      
4 A1 1421 1359 0.42      
5 A1 1387 1327 31.58      
6 A1 1267 1212 6.96      
7 A1 1047 1002 1.68      
8 A1 941 901 13.52      
9 A2 1147 1097 0.00      
10 A2 936 896 0.00      
11 A2 554 530 0.00      
12 B1 3118 2983 0.27      
13 B1 1007 964 22.09      
14 B1 836 800 4.95      
15 B1 375 359 39.63      
16 B2 3224 3085 6.92      
17 B2 1803 1725 0.59      
18 B2 1401 1340 38.45      
19 B2 1240 1187 0.80      
20 B2 1089 1042 32.09      
21 B2 940 899 77.60      

Unscaled Zero Point Vibrational Energy (zpe) 15891.1 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 15203.0 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 mPW1PW91/6-311G**
ABC
0.36354 0.30691 0.17185

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.195
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.725 -0.941
C5 0.000 -0.725 -0.941
H6 -0.891 0.000 1.829
H7 0.891 0.000 1.829
H8 0.000 1.470 -1.726
H9 0.000 -1.470 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35261.35262.25552.25551.09361.09363.26973.2697
N21.35261.99271.25092.11052.04592.04592.06123.1789
N31.35261.99272.11051.25092.04592.04593.17892.0612
C42.25551.25092.11051.45002.99872.99871.08202.3308
C52.25552.11051.25091.45002.99872.99872.33081.0820
H61.09362.04592.04592.99872.99871.78203.94863.9486
H71.09362.04592.04592.99872.99871.78203.94863.9486
H83.26972.06123.17891.08202.33083.94863.94862.9392
H93.26973.17892.06122.33081.08203.94863.94862.9392

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 120.024 C1 N3 C5 120.024
N2 C1 N3 94.894 N2 C1 H6 113.088
N2 C1 H7 113.088 N2 C4 C5 102.529
N2 C4 H8 123.983 N3 C1 H6 113.088
N3 C1 H7 113.088 N3 C5 C4 102.529
N3 C5 H9 123.983 C4 C5 H9 133.488
C5 C4 H8 133.488 H6 C1 H7 109.120
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.035      
2 N -0.308      
3 N -0.308      
4 C -0.005      
5 C -0.005      
6 H 0.174      
7 H 0.174      
8 H 0.121      
9 H 0.121      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.633 0.633
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.068 0.000 0.000
y 0.000 -34.797 0.000
z 0.000 0.000 -21.557
Traceless
 xyz
x 0.109 0.000 0.000
y 0.000 -9.985 0.000
z 0.000 0.000 9.876
Polar
3z2-r219.752
x2-y26.729
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.763 0.000 0.000
y 0.000 5.324 0.000
z 0.000 0.000 8.015


<r2> (average value of r2) Å2
<r2> 76.627
(<r2>)1/2 8.754