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 C4H6N2 (1H-Imidazole, 2-methyl-)

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-264.004574
Energy at 298.15K-264.012568
Nuclear repulsion energy223.769266
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 mPW1PW91/3-21G
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 3638 3473 56.21      
2 A 3344 3192 2.00      
3 A 3318 3167 2.54      
4 A 3193 3048 1.44      
5 A 3126 2984 14.22      
6 A 3071 2932 20.59      
7 A 1592 1520 49.36      
8 A 1558 1487 11.61      
9 A 1555 1484 1.05      
10 A 1512 1443 4.94      
11 A 1464 1398 6.44      
12 A 1421 1356 17.37      
13 A 1379 1317 5.01      
14 A 1297 1239 25.55      
15 A 1174 1120 6.86      
16 A 1126 1075 10.27      
17 A 1113 1063 15.67      
18 A 1106 1056 7.97      
19 A 1021 974 9.89      
20 A 988 943 3.21      
21 A 953 910 3.25      
22 A 926 884 5.99      
23 A 784 748 46.68      
24 A 711 679 10.76      
25 A 685 654 1.21      
26 A 670 640 139.25      
27 A 662 632 0.08      
28 A 336 320 5.80      
29 A 261 249 7.42      
30 A 118 113 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 22050.0 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 21049.0 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 mPW1PW91/3-21G
ABC
0.29502 0.11885 0.08610

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -2.119 -0.024 0.000
H2 -2.507 0.486 -0.889
H3 -2.482 -1.052 -0.000
H4 -2.507 0.486 0.889
N5 0.165 1.057 -0.000
H6 -0.152 2.016 0.000
C7 -0.631 -0.069 0.000
N8 0.116 -1.166 -0.000
C9 1.443 -0.728 0.000
H10 2.262 -1.424 -0.000
C11 1.491 0.641 0.000
H12 2.315 1.332 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09601.09061.09602.52702.83361.48842.51063.63074.59913.67134.6363
H21.09601.77691.77852.87382.94602.14913.22584.22705.21374.09954.9758
H31.09061.77691.77693.38443.85242.09502.60053.93754.75784.31895.3560
H41.09601.77851.77692.87392.94602.14913.22584.22705.21374.09954.9758
N52.52702.87383.38442.87391.01011.37972.22422.19553.24841.39012.1671
H62.83362.94603.85242.94601.01012.13993.19393.17434.20262.14302.5601
C71.48842.14912.09502.14911.37972.13991.32772.17613.19452.23873.2622
N82.51063.22582.60053.22582.22423.19391.32771.39662.16072.27123.3276
C93.63074.22703.93754.22702.19553.17432.17611.39661.07461.37052.2370
H104.59915.21374.75785.21373.24844.20263.19452.16071.07462.20422.7561
C113.67134.09954.31894.09951.39012.14302.23872.27121.37052.20421.0744
H124.63634.97585.35604.97582.16712.56013.26223.32762.23702.75611.0744

picture of 1H-Imidazole, 2-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C7 N5 123.499 C1 C7 N8 126.039
H2 C1 H3 108.712 H2 C1 H4 108.448
H2 C1 C7 111.618 H3 C1 H4 108.712
H3 C1 C7 107.655 H4 C1 C7 111.618
N5 C7 N8 110.462 N5 C11 C9 105.365
N5 C11 H12 122.602 H6 N5 C7 126.433
H6 N5 C11 125.721 C7 N5 C11 107.846
C7 N8 C9 106.002 N8 C9 H10 121.385
N8 C9 C11 110.325 C9 C11 H12 132.033
H10 C9 C11 128.290
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.691      
2 H 0.232      
3 H 0.267      
4 H 0.232      
5 N -0.766      
6 H 0.345      
7 C 0.551      
8 N -0.543      
9 C -0.101      
10 H 0.223      
11 C 0.014      
12 H 0.237      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.505 3.740 0.000 3.774
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.606 -0.567 0.000
y -0.567 -33.560 0.000
z 0.000 0.000 -38.079
Traceless
 xyz
x 6.213 -0.567 0.000
y -0.567 0.283 0.000
z 0.000 0.000 -6.496
Polar
3z2-r2-12.993
x2-y23.953
xy-0.567
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 139.818
(<r2>)1/2 11.824