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

using model chemistry: B3LYP/CEP-121G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/CEP-121G
 hartrees
Energy at 0K-45.941164
Energy at 298.15K-45.949005
Nuclear repulsion energy116.147520
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 B3LYP/CEP-121G
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 3641 3548 26.66      
2 A 3268 3185 10.88      
3 A 3241 3159 4.01      
4 A 3126 3047 9.64      
5 A 3055 2977 35.14      
6 A 2990 2913 47.24      
7 A 1566 1526 45.07      
8 A 1516 1478 1.38      
9 A 1509 1470 11.73      
10 A 1484 1446 8.06      
11 A 1438 1401 1.82      
12 A 1399 1363 26.45      
13 A 1356 1321 2.83      
14 A 1273 1241 21.92      
15 A 1160 1130 9.16      
16 A 1108 1080 3.36      
17 A 1099 1071 25.74      
18 A 1077 1050 1.80      
19 A 994 969 13.66      
20 A 960 935 4.20      
21 A 920 897 2.27      
22 A 871 848 13.02      
23 A 745 726 63.23      
24 A 677 660 0.62      
25 A 666 649 1.59      
26 A 638 622 70.87      
27 A 614 599 49.22      
28 A 341 332 5.92      
29 A 244 238 6.11      
30 A 96 94 0.20      

Unscaled Zero Point Vibrational Energy (zpe) 21535.3 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 20986.1 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 B3LYP/CEP-121G
ABC
0.28812 0.11583 0.08393

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -2.118 -0.045 -0.000
H2 -2.514 0.467 -0.889
H3 -2.487 -1.073 -0.002
H4 -2.515 0.464 0.890
N5 0.200 1.054 -0.000
H6 -0.119 2.013 0.001
C7 -0.610 -0.086 0.000
N8 0.149 -1.198 -0.000
C9 1.489 -0.757 0.000
H10 2.306 -1.463 0.000
C11 1.542 0.632 -0.000
H12 2.367 1.329 -0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09921.09281.09922.56462.86931.50802.54363.67674.64593.72214.6909
H21.09921.77751.77822.91532.98712.17253.26434.27975.26814.15585.0361
H31.09281.77751.77743.42693.89072.12082.63943.98904.80914.37545.4164
H41.09921.77821.77742.91662.98852.17263.26374.27955.26774.15685.0374
N52.56462.91533.42692.91661.01081.39812.25242.22313.28271.40732.1852
H62.86932.98713.89072.98851.01082.15593.22243.20294.23902.16002.5784
C71.50802.17252.12082.17261.39812.15591.34692.20433.22572.26913.2967
N82.54363.26432.63943.26372.25243.22241.34691.41072.17312.29993.3623
C93.67674.27973.98904.27952.22313.20292.20431.41071.08021.39012.2630
H104.64595.26814.80915.26773.28274.23903.22572.17311.08022.23092.7933
C113.72214.15584.37544.15681.40732.16002.26912.29991.39012.23091.0800
H124.69095.03615.41645.03742.18522.57843.29673.36232.26302.79331.0800

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 123.847 C1 C7 N8 125.888
H2 C1 H3 108.364 H2 C1 H4 107.966
H2 C1 C7 111.917 H3 C1 H4 108.358
H3 C1 C7 108.197 H4 C1 C7 111.926
N5 C7 N8 110.265 N5 C11 C9 105.254
N5 C11 H12 122.395 H6 N5 C7 126.256
H6 N5 C11 125.777 C7 N5 C11 107.967
C7 N8 C9 106.111 N8 C9 H10 120.902
N8 C9 C11 110.402 C9 C11 H12 132.351
H10 C9 C11 128.696
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.649      
2 H 0.162      
3 H 0.193      
4 H 0.162      
5 N -0.236      
6 H 0.316      
7 C -0.029      
8 N 0.082      
9 C -0.217      
10 H 0.167      
11 C -0.138      
12 H 0.185      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.489 3.938 0.002 3.968
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.565 -0.531 -0.001
y -0.531 -35.116 0.004
z -0.001 0.004 -38.554
Traceless
 xyz
x 6.270 -0.531 -0.001
y -0.531 -0.556 0.004
z -0.001 0.004 -5.714
Polar
3z2-r2-11.427
x2-y24.550
xy-0.531
xz-0.001
yz0.004


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.522 -0.091 0.005
y -0.091 8.679 -0.001
z 0.005 -0.001 5.099


<r2> (average value of r2) Å2
<r2> 117.381
(<r2>)1/2 10.834