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All results from a given calculation for C4H6N2 (1H-Imidazole, 2-methyl-)

using model chemistry: wB97X-D/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 wB97X-D/3-21G*
 hartrees
Energy at 0K-263.985640
Energy at 298.15K-263.993637
HF Energy-263.985640
Nuclear repulsion energy223.776300
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 wB97X-D/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 3666 3474 64.30      
2 A 3344 3169 1.36      
3 A 3318 3144 2.36      
4 A 3201 3034 1.46      
5 A 3145 2981 13.46      
6 A 3088 2926 17.50      
7 A 1602 1519 51.40      
8 A 1560 1479 12.58      
9 A 1559 1478 1.06      
10 A 1522 1442 5.81      
11 A 1471 1394 8.13      
12 A 1430 1356 20.35      
13 A 1389 1316 5.26      
14 A 1304 1236 24.54      
15 A 1176 1114 7.52      
16 A 1132 1072 11.94      
17 A 1117 1059 16.06      
18 A 1114 1056 8.68      
19 A 1025 972 9.70      
20 A 993 941 3.66      
21 A 958 908 2.96      
22 A 945 895 4.80      
23 A 798 756 44.06      
24 A 718 680 20.29      
25 A 685 650 1.13      
26 A 682 646 133.90      
27 A 666 631 3.58      
28 A 339 321 5.87      
29 A 262 249 7.48      
30 A 110 104 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 22157.7 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 21001.0 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 wB97X-D/3-21G*
ABC
0.29539 0.11873 0.08607

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.126 -0.028 0.000
H2 2.514 0.481 0.890
H3 2.489 -1.057 -0.001
H4 2.514 0.482 -0.889
N5 -0.162 1.053 -0.000
H6 0.162 2.008 -0.001
C7 0.635 -0.070 -0.000
N8 -0.126 -1.160 -0.000
C9 -1.449 -0.727 -0.000
H10 -2.273 -1.417 -0.000
C11 -1.492 0.644 0.000
H12 -2.311 1.339 0.001

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09611.09081.09612.53022.82921.49182.52003.64284.61333.67934.6423
H21.09611.77691.77902.87712.94242.15103.23274.23735.22594.10614.9801
H31.09081.77691.77693.38793.84842.10062.61693.95234.77634.32895.3643
H41.09611.77901.77692.87652.94102.15103.23324.23775.22644.10604.9800
N52.53022.87713.38792.87651.00881.37692.21332.19663.24971.39122.1678
H62.82922.94243.84842.94101.00882.13183.18153.17444.20302.14362.5618
C71.49182.15102.10062.15101.37692.13181.32872.18483.20482.24303.2649
N82.52003.23272.61693.23322.21333.18151.32871.39282.16312.26293.3192
C93.64284.23733.95234.23772.19663.17442.18481.39281.07511.37152.2377
H104.61335.22594.77635.22643.24974.20303.20482.16311.07512.20462.7559
C113.67934.10614.32894.10601.39122.14362.24302.26291.37152.20461.0739
H124.64234.98015.36434.98002.16782.56183.26493.31922.23772.75591.0739

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 123.714 C1 C7 N8 126.522
H2 C1 H3 108.691 H2 C1 H4 108.497
H2 C1 C7 111.522 H3 C1 H4 108.692
H3 C1 C7 107.839 H4 C1 C7 111.525
N5 C7 N8 109.763 N5 C11 C9 105.325
N5 C11 H12 122.624 H6 N5 C7 125.948
H6 N5 C11 125.806 C7 N5 C11 108.246
C7 N8 C9 106.775 N8 C9 H10 121.920
N8 C9 C11 109.891 C9 C11 H12 132.051
H10 C9 C11 128.189
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.678      
2 H 0.227      
3 H 0.263      
4 H 0.227      
5 N -0.763      
6 H 0.347      
7 C 0.549      
8 N -0.540      
9 C -0.103      
10 H 0.223      
11 C 0.009      
12 H 0.239      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.510 3.791 0.000 3.825
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.526 0.567 0.000
y 0.567 -33.540 0.000
z 0.000 0.000 -37.975
Traceless
 xyz
x 6.231 0.567 0.000
y 0.567 0.211 0.000
z 0.000 0.000 -6.442
Polar
3z2-r2-12.884
x2-y24.013
xy0.567
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.981 0.184 0.000
y 0.184 7.203 0.000
z 0.000 0.000 3.309


<r2> (average value of r2) Å2
<r2> 139.806
(<r2>)1/2 11.824