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

using model chemistry: B3PW91/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/cc-pVTZ
 hartrees
Energy at 0K-265.534299
Energy at 298.15K-265.542095
Nuclear repulsion energy225.778852
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 B3PW91/cc-pVTZ
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 3672 3531 45.74      
2 A 3276 3150 2.55      
3 A 3245 3121 5.20      
4 A 3150 3029 3.06      
5 A 3035 2919 29.73      
6 A 1604 1543 39.06      
7 A 1526 1467 4.35      
8 A 1496 1438 4.75      
9 A 1443 1387 38.45      
10 A 1415 1361 0.15      
11 A 1392 1339 0.92      
12 A 1282 1232 13.83      
13 A 1193 1147 3.71      
14 A 1140 1096 3.65      
15 A 1106 1063 27.13      
16 A 1009 970 9.17      
17 A 969 932 1.65      
18 A 930 894 2.90      
19 A 683 657 0.90      
20 A 350 336 5.23      
21 A 3088 2969 15.76      
22 A 1478 1421 7.38      
23 A 1059 1018 1.18      
24 A 874 841 8.29      
25 A 735 707 48.22      
26 A 696 670 5.19      
27 A 648 624 10.70      
28 A 536 516 65.26      
29 A 255 245 5.95      
30 A 72 69 0.26      

Unscaled Zero Point Vibrational Energy (zpe) 21678.0 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 20845.6 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 B3PW91/cc-pVTZ
ABC
0.30001 0.12101 0.08764

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.211 2.092 0.000
H2 -0.762 2.424 0.883
H3 -0.762 2.424 -0.883
H4 0.762 2.579 0.000
N5 -1.021 -0.281 0.000
H6 -2.002 -0.068 0.000
C7 0.000 0.621 0.000
N8 1.161 0.009 0.000
C9 0.879 -1.333 0.000
H10 1.663 -2.073 0.000
C11 -0.469 -1.539 0.000
H12 -1.070 -2.432 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09291.09291.08772.50832.80681.48602.49383.59414.56713.64094.6057
H21.09291.76631.76862.85782.92042.14733.21074.19375.18494.07124.9457
H31.09291.76631.76862.85782.92042.14733.21074.19375.18494.07124.9457
H41.08771.76861.76863.37103.82772.10112.60083.91394.73874.29895.3363
N52.50832.85782.85783.37101.00451.36282.20072.17113.22651.37352.1514
H62.80682.92042.92043.82771.00452.11783.16393.14654.17762.12492.5414
C71.48602.14732.14732.10111.36282.11781.31212.14263.16602.21113.2359
N82.49383.21073.21072.60082.20073.16391.31211.37142.14192.24843.3074
C93.59414.19374.19373.91392.17113.14652.14261.37141.07811.36382.2379
H104.56715.18495.18494.73873.22654.17763.16602.14191.07812.19772.7566
C113.64094.07124.07124.29891.37352.12492.21112.24841.36382.19771.0764
H124.60574.94574.94575.33632.15142.54143.23593.30742.23792.75661.0764

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 123.347 C1 C7 N8 125.947
H2 C1 H3 107.812 H2 C1 H4 108.392
H2 C1 C7 111.840 H3 C1 H4 108.392
H3 C1 C7 111.840 H4 C1 C7 108.457
N5 C7 N8 110.706 N5 C11 C9 104.961
N5 C11 H12 122.379 H6 N5 C7 126.243
H6 N5 C11 125.942 C7 N5 C11 107.815
C7 N8 C9 105.944 N8 C9 H10 121.493
N8 C9 C11 110.574 C9 C11 H12 132.660
H10 C9 C11 127.934
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.269      
2 H 0.094      
3 H 0.094      
4 H 0.116      
5 N -0.067      
6 H 0.149      
7 C 0.116      
8 N -0.227      
9 C -0.093      
10 H 0.111      
11 C -0.143      
12 H 0.116      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -3.575 0.190 0.000 3.580
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.757 -0.909 0.000
y -0.909 -30.881 0.000
z 0.000 0.000 -37.653
Traceless
 xyz
x 0.509 -0.909 0.000
y -0.909 4.824 0.000
z 0.000 0.000 -5.334
Polar
3z2-r2-10.667
x2-y2-2.877
xy-0.909
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> 138.102
(<r2>)1/2 11.752